From 944063afa17c9524b16a30b0e812b34e354962bc Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Thu, 16 Jan 2025 16:38:56 +0000 Subject: [PATCH 01/16] chore: add kernel thinning to benchmarking script #919 --- benchmark/blobs_benchmark.py | 14 ++++++++ benchmark/david_benchmark.py | 6 +++- benchmark/mnist_benchmark.py | 64 +++++++++++++++++++++++++++++++++--- coreax/solvers/coresubset.py | 2 +- 4 files changed, 79 insertions(+), 7 deletions(-) diff --git a/benchmark/blobs_benchmark.py b/benchmark/blobs_benchmark.py index 029adcae3..5fd9b0311 100644 --- a/benchmark/blobs_benchmark.py +++ b/benchmark/blobs_benchmark.py @@ -47,6 +47,7 @@ from coreax.metrics import KSD, MMD from coreax.solvers import ( KernelHerding, + KernelThinning, RandomSample, RPCholesky, Solver, @@ -102,6 +103,7 @@ def setup_solvers( coreset_size: int, sq_exp_kernel: SquaredExponentialKernel, stein_kernel: SteinKernel, + delta: float, random_seed: int = 45, ) -> list[tuple[str, _Solver]]: """ @@ -110,12 +112,14 @@ def setup_solvers( :param coreset_size: The size of the coresets to be generated by the solvers. :param sq_exp_kernel: A Squared Exponential kernel for KernelHerding and RPCholesky. :param stein_kernel: A Stein kernel object used for the SteinThinning solver. + :param delta: The delta parameter for KernelThinning solver. :param random_seed: An integer seed for the random number generator. :return: A list of tuples, where each tuple contains the name of the solver and the corresponding solver object. """ random_key = jax.random.PRNGKey(random_seed) + sqrt_kernel = sq_exp_kernel.get_sqrt_kernel(2) return [ ( "KernelHerding", @@ -141,6 +145,16 @@ def setup_solvers( regularise=False, ), ), + ( + "KernelThinning", + KernelThinning( + coreset_size=coreset_size, + kernel=sq_exp_kernel, + random_key=random_key, + delta=delta, + sqrt_kernel=sqrt_kernel, + ), + ), ] diff --git a/benchmark/david_benchmark.py b/benchmark/david_benchmark.py index 2734d54d0..fbbdaf622 100644 --- a/benchmark/david_benchmark.py +++ b/benchmark/david_benchmark.py @@ -41,6 +41,7 @@ from benchmark.mnist_benchmark import get_solver_name, initialise_solvers from coreax import Data +from coreax.solvers import MapReduce from examples.david_map_reduce_weighted import downsample_opencv MAX_8BIT = 255 @@ -50,7 +51,7 @@ def benchmark_coreset_algorithms( in_path: Path = Path("../examples/data/david_orig.png"), out_path: Optional[Path] = Path("david_benchmark_results.png"), - downsampling_factor: int = 6, + downsampling_factor: int = 1, ): """ Benchmark the performance of coreset algorithms on a downsampled greyscale image. @@ -93,6 +94,9 @@ def benchmark_coreset_algorithms( for solver_creator in solver_factories: solver = solver_creator(coreset_size) + # There is no need to use MapReduce as the data-size is small + if isinstance(solver, MapReduce): + solver = solver.base_solver solver_name = get_solver_name(solver_creator) start_time = time.perf_counter() coreset, _ = eqx.filter_jit(solver.reduce)(data) diff --git a/benchmark/mnist_benchmark.py b/benchmark/mnist_benchmark.py index 16c95467f..ae8fea9ad 100644 --- a/benchmark/mnist_benchmark.py +++ b/benchmark/mnist_benchmark.py @@ -52,6 +52,7 @@ import umap from flax import linen as nn from flax.training import train_state +from jaxtyping import Array, Float, Int from torch.utils.data import DataLoader, Dataset from torchvision import transforms @@ -60,6 +61,7 @@ from coreax.score_matching import KernelDensityMatching from coreax.solvers import ( KernelHerding, + KernelThinning, MapReduce, RandomSample, RPCholesky, @@ -426,6 +428,30 @@ def prepare_datasets() -> tuple[jnp.ndarray, jnp.ndarray, jnp.ndarray, jnp.ndarr return train_data_jax, train_targets_jax, test_data_jax, test_targets_jax +def calculate_delta(n: Int[Array, "1"]) -> Float[Array, "1"]: + """ + Calculate the delta parameter for kernel thinning. + + The function evaluates the following cases: + 1. If `jnp.log(n)` is positive: + - Further evaluates `jnp.log(jnp.log(n))`. + * If this is also positive, returns `1 / n * jnp.log(jnp.log(n))`. + * Otherwise, returns `1 / n * jnp.log(n)`. + 2. If `jnp.log(n)` is negative: + - Returns `1 / n`. + + :param n: The size of the dataset we wish to reduce. + :return: The calculated delta value based on the described conditions. + """ + log_n = jnp.log(n) + if log_n > 0: + log_log_n = jnp.log(log_n) + if log_log_n > 0: + return 1 / (n * log_log_n) + return 1 / (n * log_n) + return 1 / n + + def initialise_solvers( train_data_umap: Data, key: jax.random.PRNGKey ) -> list[Callable[[int], Solver]]: @@ -451,6 +477,28 @@ def initialise_solvers( idx = generator.choice(num_data_points, num_samples_length_scale, replace=False) length_scale = median_heuristic(train_data_umap[idx]) kernel = SquaredExponentialKernel(length_scale=length_scale) + sqrt_kernel = kernel.get_sqrt_kernel(16) + + def _get_thinning_solver(_size: int) -> MapReduce: + """ + Set up KernelThinning to use ``MapReduce``. + + Create a KernelThinning solver with the specified size and return + it along with a MapReduce object for reducing a large dataset like + MNIST dataset. + + :param _size: The size of the coreset to be generated. + :return: MapReduce solver with KernelThinning as the base solver. + """ + thinning_solver = KernelThinning( + coreset_size=_size, + kernel=kernel, + random_key=key, + delta=calculate_delta(num_data_points), + sqrt_kernel=sqrt_kernel, + ) + + return thinning_solver def _get_herding_solver(_size: int) -> MapReduce: """ @@ -461,7 +509,7 @@ def _get_herding_solver(_size: int) -> MapReduce: MNIST dataset. :param _size: The size of the coreset to be generated. - :return: A tuple containing the solver name and the MapReduce solver. + :return: MapReduce solver with KernelHerding as the base solver. """ herding_solver = KernelHerding(_size, kernel) return MapReduce(herding_solver, leaf_size=3 * _size) @@ -475,7 +523,7 @@ def _get_stein_solver(_size: int) -> MapReduce: a subset of the dataset. :param _size: The size of the coreset to be generated. - :return: A tuple containing the solver name and the MapReduce solver. + :return: MapReduce solver with SteinThinning as the base solver. """ # Generate small dataset for ScoreMatching for Stein Kernel @@ -493,7 +541,7 @@ def _get_random_solver(_size: int) -> RandomSample: Set up Random Sampling to generate a coreset. :param _size: The size of the coreset to be generated. - :return: A tuple containing the solver name and the RandomSample solver. + :return: A RandomSample solver. """ random_solver = RandomSample(_size, key) return random_solver @@ -503,12 +551,18 @@ def _get_rp_solver(_size: int) -> RPCholesky: Set up Randomised Cholesky solver. :param _size: The size of the coreset to be generated. - :return: A tuple containing the solver name and the RPCholesky solver. + :return: A RPCholesky solver. """ rp_solver = RPCholesky(coreset_size=_size, kernel=kernel, random_key=key) return rp_solver - return [_get_random_solver, _get_rp_solver, _get_herding_solver, _get_stein_solver] + return [ + _get_random_solver, + _get_rp_solver, + _get_herding_solver, + _get_stein_solver, + _get_thinning_solver, + ] def train_model( diff --git a/coreax/solvers/coresubset.py b/coreax/solvers/coresubset.py index c5fa34549..a8838a51c 100644 --- a/coreax/solvers/coresubset.py +++ b/coreax/solvers/coresubset.py @@ -1101,7 +1101,7 @@ def probabilistic_swap( prob = jax.random.uniform(key1) return lax.cond( - prob < 1 / 2 * (1 - alpha / a), + prob > 1 / 2 * (1 - alpha / a), lambda _: (2 * i, 2 * i + 1), # first case: val1 = x1, val2 = x2 lambda _: (2 * i + 1, 2 * i), # second case: val1 = x2, val2 = x1 None, From 460840516b4949f71e4c6a3bda8daa313c72a66f Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Thu, 16 Jan 2025 16:40:52 +0000 Subject: [PATCH 02/16] chore: uv lock #919 --- uv.lock | 11 ----------- 1 file changed, 11 deletions(-) diff --git a/uv.lock b/uv.lock index 498c0c453..b8fa2bc73 100644 --- a/uv.lock +++ b/uv.lock @@ -667,7 +667,6 @@ wheels = [ [[package]] name = "coreax" -version = "0.3.1" source = { editable = "." } dependencies = [ { name = "equinox", version = "0.11.10", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version < '3.10'" }, @@ -2825,7 +2824,6 @@ name = "nvidia-cublas-cu12" version = "12.4.5.8" source = { registry = "https://pypi.org/simple" } wheels = [ - { url = "https://files.pythonhosted.org/packages/7f/7f/7fbae15a3982dc9595e49ce0f19332423b260045d0a6afe93cdbe2f1f624/nvidia_cublas_cu12-12.4.5.8-py3-none-manylinux2014_aarch64.whl", hash = "sha256:0f8aa1706812e00b9f19dfe0cdb3999b092ccb8ca168c0db5b8ea712456fd9b3", size = 363333771 }, { url = "https://files.pythonhosted.org/packages/ae/71/1c91302526c45ab494c23f61c7a84aa568b8c1f9d196efa5993957faf906/nvidia_cublas_cu12-12.4.5.8-py3-none-manylinux2014_x86_64.whl", hash = "sha256:2fc8da60df463fdefa81e323eef2e36489e1c94335b5358bcb38360adf75ac9b", size = 363438805 }, ] @@ -2834,7 +2832,6 @@ name = "nvidia-cuda-cupti-cu12" version = "12.4.127" source = { registry = "https://pypi.org/simple" } wheels = [ - { url = "https://files.pythonhosted.org/packages/93/b5/9fb3d00386d3361b03874246190dfec7b206fd74e6e287b26a8fcb359d95/nvidia_cuda_cupti_cu12-12.4.127-py3-none-manylinux2014_aarch64.whl", hash = "sha256:79279b35cf6f91da114182a5ce1864997fd52294a87a16179ce275773799458a", size = 12354556 }, { url = "https://files.pythonhosted.org/packages/67/42/f4f60238e8194a3106d06a058d494b18e006c10bb2b915655bd9f6ea4cb1/nvidia_cuda_cupti_cu12-12.4.127-py3-none-manylinux2014_x86_64.whl", hash = "sha256:9dec60f5ac126f7bb551c055072b69d85392b13311fcc1bcda2202d172df30fb", size = 13813957 }, ] @@ -2843,7 +2840,6 @@ name = "nvidia-cuda-nvrtc-cu12" version = "12.4.127" source = { registry = "https://pypi.org/simple" } wheels = [ - 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{ url = "https://files.pythonhosted.org/packages/46/6b/a5c33cf16af09166845345275c34ad2190944bcc6026797a39f8e0a282e0/nvidia_cusolver_cu12-11.6.1.9-py3-none-manylinux2014_aarch64.whl", hash = "sha256:d338f155f174f90724bbde3758b7ac375a70ce8e706d70b018dd3375545fc84e", size = 127634111 }, { url = "https://files.pythonhosted.org/packages/3a/e1/5b9089a4b2a4790dfdea8b3a006052cfecff58139d5a4e34cb1a51df8d6f/nvidia_cusolver_cu12-11.6.1.9-py3-none-manylinux2014_x86_64.whl", hash = "sha256:19e33fa442bcfd085b3086c4ebf7e8debc07cfe01e11513cc6d332fd918ac260", size = 127936057 }, ] @@ -2910,7 +2902,6 @@ dependencies = [ { name = "nvidia-nvjitlink-cu12", marker = "(python_full_version < '3.10' and platform_machine != 'arm64' and sys_platform == 'darwin') or (platform_machine != 'aarch64' and sys_platform == 'linux') or (sys_platform != 'darwin' and sys_platform != 'linux')" }, ] wheels = [ - { url = "https://files.pythonhosted.org/packages/96/a9/c0d2f83a53d40a4a41be14cea6a0bf9e668ffcf8b004bd65633f433050c0/nvidia_cusparse_cu12-12.3.1.170-py3-none-manylinux2014_aarch64.whl", hash = "sha256:9d32f62896231ebe0480efd8a7f702e143c98cfaa0e8a76df3386c1ba2b54df3", size = 207381987 }, { url = "https://files.pythonhosted.org/packages/db/f7/97a9ea26ed4bbbfc2d470994b8b4f338ef663be97b8f677519ac195e113d/nvidia_cusparse_cu12-12.3.1.170-py3-none-manylinux2014_x86_64.whl", hash = "sha256:ea4f11a2904e2a8dc4b1833cc1b5181cde564edd0d5cd33e3c168eff2d1863f1", size = 207454763 }, ] @@ -2927,7 +2918,6 @@ name = "nvidia-nvjitlink-cu12" version = "12.4.127" source = { registry = "https://pypi.org/simple" } wheels = [ - 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downsampling_factor: int = 1, + downsampling_factor: int = 6, ): """ Benchmark the performance of coreset algorithms on a downsampled greyscale image. @@ -66,7 +70,6 @@ def benchmark_coreset_algorithms( """ # Base directory of the current script base_dir = os.path.dirname(os.path.abspath(__file__)) - # Convert to absolute paths using os.path.join if not in_path.is_absolute(): in_path = Path(os.path.join(base_dir, in_path)) From 6f00f8685e3beb2fea2815cb79d599e502875793 Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Fri, 17 Jan 2025 11:22:41 +0000 Subject: [PATCH 04/16] chore: change leaf_size of MapReduce solver on mnist benchmark #919 --- benchmark/mnist_benchmark.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/benchmark/mnist_benchmark.py b/benchmark/mnist_benchmark.py index ae8fea9ad..ccb51ee64 100644 --- a/benchmark/mnist_benchmark.py +++ b/benchmark/mnist_benchmark.py @@ -498,7 +498,7 @@ def _get_thinning_solver(_size: int) -> MapReduce: sqrt_kernel=sqrt_kernel, ) - return thinning_solver + return MapReduce(thinning_solver, leaf_size=15_000) def _get_herding_solver(_size: int) -> MapReduce: """ @@ -512,7 +512,7 @@ def _get_herding_solver(_size: int) -> MapReduce: :return: MapReduce solver with KernelHerding as the base solver. """ herding_solver = KernelHerding(_size, kernel) - return MapReduce(herding_solver, leaf_size=3 * _size) + return MapReduce(herding_solver, leaf_size=15_000) def _get_stein_solver(_size: int) -> MapReduce: """ @@ -534,7 +534,7 @@ def _get_stein_solver(_size: int) -> MapReduce: stein_solver = SteinThinning( coreset_size=_size, kernel=stein_kernel, regularise=False ) - return MapReduce(stein_solver, leaf_size=3 * _size) + return MapReduce(stein_solver, leaf_size=15_000) def _get_random_solver(_size: int) -> RandomSample: """ From 241b21757c82cada3cf89f63f5955640dfa1d561 Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Fri, 17 Jan 2025 14:39:48 +0000 Subject: [PATCH 05/16] run benchmarking on gpu --- benchmark/david_benchmark_results.png | Bin 0 -> 757481 bytes benchmark/mnist_benchmark_results.json | 558 +++++++++++++++---------- benchmark/mnist_time_results.json | 239 ++++++----- 3 files changed, 484 insertions(+), 313 deletions(-) create mode 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}, "500": { - "0": 28.629314329999943, - "1": 18.76713966499983, - "2": 20.139166873999784, - "3": 18.26489885399951, - "4": 18.16690275899964 + "0": 5.439173460999882, + "1": 5.453762462000668, + "2": 5.412860956999793, + "3": 5.417045615000461, + "4": 5.401182251000137 }, "1000": { - "0": 24.427439505000166, - "1": 19.43167951400028, - "2": 19.28958952099947, - "3": 19.266749262999838, - "4": 19.204127647999485 + "0": 7.2683715949988255, + "1": 9.998894977999953, + "2": 6.865873652999653, + "3": 6.937165109000489, + "4": 6.851976205998653 + } + }, + "KernelThinning": { + "25": { + "0": 57.40046906799944, + "1": 0.4691025020001689, + "2": 0.4655119300005026, + "3": 0.4667137439992075, + "4": 0.4651397059988085 + }, + "50": { + "0": 31.640804945000127, + "1": 0.4824182379998092, + "2": 0.4758363860000827, + "3": 0.4767543710004247, + "4": 0.4776206539991108 + }, + "100": { + "0": 19.31581526300033, + "1": 0.4937812940006552, + "2": 0.4880024880003475, + "3": 0.49104342400096357, + "4": 0.48902785900099843 + }, + "500": { + "0": 6.845564752999053, + "1": 0.47625808600059827, + "2": 0.47526046200073324, + "3": 0.47945132499989995, + "4": 0.4767048789999535 + }, + "1000": { + "0": 6.7132718520006165, + "1": 0.5458353630001511, + "2": 0.5415765449997707, + "3": 0.5430132919991593, + "4": 0.5429429139985587 } } -} +} \ No newline at end of file From 665baf9aa814116cd48b863d896734c9229d01fa Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Fri, 17 Jan 2025 17:10:55 +0000 Subject: [PATCH 06/16] feat: Add kernel thinning to existing benchmarking tests #919 --- benchmark/david_benchmark.py | 4 - benchmark/david_benchmark_results.png | Bin 757481 -> 0 bytes benchmark/mnist_benchmark_results.json | 2 +- benchmark/mnist_time_results.json | 2 +- documentation/source/benchmark.rst | 195 ++++++++++-------- .../KernelThinning_coreset.gif | 3 + .../blobs_benchmark_results.png | 4 +- .../david_benchmark_results.png | 4 +- .../mnist_benchmark_accuracy.png | 4 +- .../mnist_benchmark_time_taken.png | 4 +- 10 files changed, 123 insertions(+), 99 deletions(-) delete mode 100644 benchmark/david_benchmark_results.png create mode 100644 examples/benchmarking_images/KernelThinning_coreset.gif diff --git a/benchmark/david_benchmark.py b/benchmark/david_benchmark.py index 0606480dd..e955fc251 100644 --- a/benchmark/david_benchmark.py +++ b/benchmark/david_benchmark.py @@ -42,7 +42,6 @@ from mnist_benchmark import get_solver_name, initialise_solvers from coreax import Data -from coreax.solvers import MapReduce from examples.david_map_reduce_weighted import downsample_opencv sys.path.append(str(Path(__file__).parent.parent)) @@ -97,9 +96,6 @@ def benchmark_coreset_algorithms( for solver_creator in solver_factories: solver = solver_creator(coreset_size) - # There is no need to use MapReduce as the data-size is small - if isinstance(solver, MapReduce): - solver = solver.base_solver solver_name = get_solver_name(solver_creator) start_time = time.perf_counter() coreset, _ = eqx.filter_jit(solver.reduce)(data) diff --git a/benchmark/david_benchmark_results.png b/benchmark/david_benchmark_results.png deleted file mode 100644 index a53dd657459650b67706972c9d242b404ca01ccd..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 757481 zcmeFZ_dnNt{|5X)(J<1qB2+4sQ8LPks5G@CTT-%`zzubSo{q1pH*Lhv?8SmHoIgaOX9MAXtb7z#9)^Mz$P$*0%jw`BC zC@Whj6uSOZ^!Q0B^O0WsOUn9~n)L;<8`gHZmIjp5y4L2#X4b~H^tRa=SX$jOGd-|h zM0mgO-fcInt<9~ZgoI4~`y2bsEDeQ%E!8aXF00LtU$vr8SaivMXx_-i-J;M?C?^!< zFWNsJZnLuwzBDhpG&A|EeZwQl>K!^OR;*Ylf4=C>gM7QD+}uWLc3!e+nq6VYr6$e1 zp`U5Knj7T@w$k#xoQbTsE_$GPEO2qO=V`@?J7qSN3pSb>MZs}jFN|45Ercm!HcncCiRQJtf&)Tjwm)xuuC5NWcbWM8Rbuf^N!OHP(DUbh8Q-MVGBGiEMw%)sGq_TRwDn7U zSj{E4K37x}-xr8n6;&N4vmrll(CxO7QA6LaT&bFQx0JY0I|isn7t60hPe^XNBkR=LepYR|hQzkW?G-fB+AEct6)>8DR4 z??t4zn0wO7xl2m#Zy?tk6y(7lAVI4Vy1#8Cz149j2{-tMVU!Df=CG4qMzi@>v8K+( 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a/benchmark/mnist_time_results.json b/benchmark/mnist_time_results.json index 9490587fd..4406fc125 100644 --- a/benchmark/mnist_time_results.json +++ b/benchmark/mnist_time_results.json @@ -184,4 +184,4 @@ "4": 0.5429429139985587 } } -} \ No newline at end of file +} diff --git a/documentation/source/benchmark.rst b/documentation/source/benchmark.rst index 06a051f6c..8f979500d 100644 --- a/documentation/source/benchmark.rst +++ b/documentation/source/benchmark.rst @@ -3,9 +3,10 @@ Benchmarking Coreset Algorithms In this benchmark, we assess the performance of four different coreset algorithms: :class:`~coreax.solvers.KernelHerding`, :class:`~coreax.solvers.SteinThinning`, -:class:`~coreax.solvers.RandomSample`, and :class:`~coreax.solvers.RPCholesky`. -Each of these algorithms is evaluated across four different tests, providing a -comparison of their performance and applicability to various datasets. +:class:`~coreax.solvers.RandomSample`, :class:`~coreax.solvers.RPCholesky` and +:class:`~coreax.solvers.KernelThinning`.Each of these algorithms is evaluated across +four different tests, providing a comparison of their performance and applicability to +various datasets. Test 1: Benchmarking Coreset Algorithms on the MNIST Dataset ------------------------------------------------------------ @@ -84,7 +85,7 @@ The tables below show the performance metrics (Unweighted MMD, Unweighted KSD, Weighted MMD, Weighted KSD, and Time) for each coreset algorithm and each coreset size. For each metric and coreset size, the best performance score is highlighted in bold. -.. list-table:: Coreset Size 10 (Original Sample Size 1,000) +.. list-table:: Coreset Size 25 (Original Sample Size 1,000) :header-rows: 1 :widths: 20 15 15 15 15 15 @@ -95,29 +96,35 @@ For each metric and coreset size, the best performance score is highlighted in b - Weighted_KSD - Time * - KernelHerding - - **0.071504** - - 0.087505 - - 0.037931 - - 0.082903 - - 5.884511 + - 0.026319 + - 0.071420 + - 0.008461 + - 0.072526 + - 1.836664 * - RandomSample - - 0.275138 - - 0.106468 - - 0.080327 - - **0.082597** - - **2.705248** + - 0.105940 + - 0.081013 + - 0.038174 + - *0.077431* + - *1.281091* * - RPCholesky - - 0.182342 - - 0.079254 - - **0.032423** - - 0.085621 - - 3.177700 + - 0.121869 + - *0.059722* + - *0.003283* + - 0.072288 + - 1.576841 * - SteinThinning - - 0.186064 - - **0.078773** - - 0.087347 - - 0.085194 - - 4.450125 + - 0.161923 + - 0.077394 + - 0.030987 + - 0.074365 + - 1.821020 + * - KernelThinning + - *0.014111* + - 0.072134 + - 0.006634 + - 0.072531 + - 9.144707 .. list-table:: Coreset Size 50 (Original Sample Size 1,000) :header-rows: 1 @@ -130,29 +137,35 @@ For each metric and coreset size, the best performance score is highlighted in b - Weighted_KSD - Time * - KernelHerding - - **0.016602** - - 0.080800 - - 0.003821 - - **0.079875** - - 5.309067 + - 0.012574 + - 0.072600 + - 0.003843 + - *0.072351* + - 1.863356 * - RandomSample - - 0.083658 - - 0.084844 - - 0.005009 - - 0.079948 - - **2.636160** + - 0.083379 + - 0.079031 + - 0.008653 + - 0.072867 + - *1.329118* * - RPCholesky - - 0.133182 - - **0.061976** - - **0.001859** - - 0.079935 - - 3.201798 + - 0.154799 + - *0.056437* + - *0.001347* + - 0.072359 + - 1.564009 * - SteinThinning - - 0.079028 - - 0.074763 - - 0.009652 - - 0.080119 - - 3.735810 + - 0.122605 + - 0.079683 + - 0.012048 + - 0.072424 + - 1.849748 + * - KernelThinning + - *0.005397* + - 0.072051 + - 0.002191 + - 0.072453 + - 5.524234 .. list-table:: Coreset Size 100 (Original Sample Size 1,000) :header-rows: 1 @@ -165,29 +178,35 @@ For each metric and coreset size, the best performance score is highlighted in b - Weighted_KSD - Time * - KernelHerding - - **0.007747** - - 0.080280 - - 0.001582 - - 0.080024 - - 5.425807 + - 0.007651 + - *0.071999* + - 0.001814 + - 0.072364 + - 2.185324 * - RandomSample - - 0.032532 - - 0.077081 - - 0.001638 - - 0.080073 - - **3.009871** + - 0.052402 + - 0.077454 + - 0.001630 + - 0.072480 + - *1.359826* * - RPCholesky - - 0.069909 - - **0.072023** - - **0.000977** - - 0.079995 - - 3.497632 + - 0.087236 + - 0.063822 + - *0.000910* + - 0.072433 + - 1.721290 * - SteinThinning - - 0.118452 - - 0.081853 - - 0.002652 - - **0.079836** - - 3.766622 + - 0.128295 + - 0.082733 + - 0.006041 + - *0.072182* + - 1.893099 + * - KernelThinning + - *0.002591* + - 0.072293 + - 0.001207 + - 0.072394 + - 3.519274 .. list-table:: Coreset Size 200 (Original Sample Size 1,000) :header-rows: 1 @@ -200,29 +219,35 @@ For each metric and coreset size, the best performance score is highlighted in b - Weighted_KSD - Time * - KernelHerding - - **0.003937** - - 0.079932 - - 0.001064 - - 0.080012 - - 5.786333 + - 0.004310 + - 0.072341 + - 0.000777 + - 0.072422 + - 1.837929 * - RandomSample - - 0.048701 - - 0.077522 - - 0.000913 - - 0.080059 - - **2.964436** + - 0.036624 + - 0.072870 + - *0.000584* + - 0.072441 + - *1.367439* * - RPCholesky - - 0.052085 - - **0.075708** - - **0.000772** - - 0.080050 - - 3.722556 + - 0.041140 + - *0.068655* + - 0.000751 + - 0.072430 + - 2.106838 * - SteinThinning - - 0.129073 - - 0.084883 - - 0.002329 - - **0.079847** - - 4.004353 + - 0.148525 + - 0.087512 + - 0.003799 + - *0.072164* + - 1.910560 + * - KernelThinning + - *0.001330* + - 0.072348 + - 0.001014 + - 0.072428 + - 2.565189 **Visualisation**: The results in this table can be visualised as follows: @@ -311,7 +336,7 @@ Conclusion In this benchmark, we evaluated four coreset algorithms across various datasets and tasks, including image classification, synthetic datasets, and pixel/frame data -processing. Based on the results, **kernel herding** emerges as the preferred choice +processing. Based on the results, **kernel thinning** emerges as the preferred choice for most tasks due to its consistent performance. For larger datasets, combining kernel herding with distributed frameworks like **map reduce** is recommended to ensure scalability and efficiency. diff --git a/examples/benchmarking_images/KernelThinning_coreset.gif b/examples/benchmarking_images/KernelThinning_coreset.gif new file mode 100644 index 000000000..eca296c57 --- /dev/null +++ b/examples/benchmarking_images/KernelThinning_coreset.gif @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:093a0f1c5309307cd35352d388f153fe0e27718da4eaf11d394c4dc754eae10a +size 336313 diff --git a/examples/benchmarking_images/blobs_benchmark_results.png b/examples/benchmarking_images/blobs_benchmark_results.png index 52bfb64ee..8878c1861 100644 --- a/examples/benchmarking_images/blobs_benchmark_results.png +++ b/examples/benchmarking_images/blobs_benchmark_results.png @@ -1,3 +1,3 @@ version https://git-lfs.github.com/spec/v1 -oid sha256:61d4b5bc3f4e2d1244b84b594b0dc6214f08228240d76bc764d32231353032e0 -size 209002 +oid sha256:d144b777b2cddc86191bfdef932c8bf55f9e08f22e165650c6941a4733174b59 +size 152391 diff --git a/examples/benchmarking_images/david_benchmark_results.png b/examples/benchmarking_images/david_benchmark_results.png index 07e2bb447..44b265ec7 100644 --- a/examples/benchmarking_images/david_benchmark_results.png +++ b/examples/benchmarking_images/david_benchmark_results.png @@ -1,3 +1,3 @@ version https://git-lfs.github.com/spec/v1 -oid sha256:6f77bbf822a5d20d661e62c9b8c7626aa44823a674035e418c1e7899374d448f -size 626273 +oid sha256:44b968f02e3ab99502592227f452baf8c870dd73039f4b45df68ae9e9c475417 +size 757481 diff --git a/examples/benchmarking_images/mnist_benchmark_accuracy.png b/examples/benchmarking_images/mnist_benchmark_accuracy.png index f2366e973..9f4107f22 100644 --- a/examples/benchmarking_images/mnist_benchmark_accuracy.png +++ b/examples/benchmarking_images/mnist_benchmark_accuracy.png @@ -1,3 +1,3 @@ version https://git-lfs.github.com/spec/v1 -oid sha256:4bcc4aee35615600d8d04c8300571cb53dceab23e77b3a6bead5566ae47ed455 -size 67261 +oid sha256:042c0ebc79a3b43e089f162b262528450356fc03246cdbc394c81bb3e9a63202 +size 66283 diff --git a/examples/benchmarking_images/mnist_benchmark_time_taken.png b/examples/benchmarking_images/mnist_benchmark_time_taken.png index cef48e395..a9a13f25f 100644 --- a/examples/benchmarking_images/mnist_benchmark_time_taken.png +++ b/examples/benchmarking_images/mnist_benchmark_time_taken.png @@ -1,3 +1,3 @@ version https://git-lfs.github.com/spec/v1 -oid sha256:c6bf579a51b8c2a934e286d3293bafc5d620119e14980cb15eb3d93ed4ce9e60 -size 61307 +oid sha256:bc04bfd082f69c0781fd570a5726c7df6593229d06e74e2780de42ef892c2e19 +size 57162 From 640bf4dd5dff5cc0cb0a50e937ec587ecd4214ca Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Mon, 20 Jan 2025 10:09:30 +0000 Subject: [PATCH 07/16] feat: fixed a typo, replaced "<" with ">" on how the probability is computed. #919 --- tests/unit/test_solvers.py | 116 +++++++++++++++++++++---------------- 1 file changed, 65 insertions(+), 51 deletions(-) diff --git a/tests/unit/test_solvers.py b/tests/unit/test_solvers.py index 5bcff47b8..ed33906f7 100644 --- a/tests/unit/test_solvers.py +++ b/tests/unit/test_solvers.py @@ -2179,8 +2179,8 @@ def test_kt_half_analytic(self) -> None: r""" Test the halving step of kernel thinning on analytical example. - We aim to split [1, 2, 3, 4, 5, 6, 7, 8] into two coresets, S1 and S2, each - containing 4 elements, enforcing two unique coresets. + We aim to split [0.7,0.55,0.6,0.65,0.9,0.10,0.11,0.12] into two coresets, S1 + and S2, each containing 4 elements, enforcing two unique coresets. First, let S be the full dataset, with S1 and S2 as subsets. S1 will contain half the elements, and S2 will contain the other half. Let :math:`k` represent @@ -2188,12 +2188,12 @@ def test_kt_half_analytic(self) -> None: :math:`\\alpha`, :math:`\\sigma`, :math:`\\delta`, and probability, which will be updated iteratively to form the coresets. - We process pairs :math:`(x, y)` sequentially: :math:`(1, 2)`, :math:`(3, 4)`, - :math:`(5, 6)`, and :math:`(7, 8)`. For each pair, we compute a probability + We process pairs :math:`(x, y)` sequentially: :math:`(0.7, 0.55)`, then + :math:`(0.6, 0.65)`, and so on. For each pair, we compute a swap probability that determines whether :math:`x` goes to S1 and :math:`y` to S2, or vice versa. In either case, both :math:`x` and :math:`y` are added to S. - If this probability is greater than 0.5, we add the x and y to S1 and S2 + If swap probability is less than 0.5, we add the x and y to S1 and S2 respectively, otherwise we swap x and y and then add x to S1 and y to S2. The process is as follows: @@ -2245,78 +2245,88 @@ def test_kt_half_analytic(self) -> None: Calculations for each pair: - Pair (1, 2): + **Pair (0.7, 0.55):** + - Inputs: S=[], S1=[], S2=[], sigma=0, delta=1/8. - Compute b: - b(1,2) = sqrt(k(1,1) + k(2,2) - 2*k(1,2)) = 1.1243847608566284. + - b(0.7, 0.55) = 0.2109442800283432. - Compute alpha: alpha = 0 (as S and S1 are empty). - Compute a: - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 1.264241099357605. + - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 0.04449748992919922. - Update sigma: - new_sigma^2 = sigma^2 + max(0, b^2 * (1 + (b^2 - 2*a) * sigma^2) / a^2). - new_sigma = sqrt(new_sigma^2) = 1.1243847608566284. + - new_sigma = 0.2109442800283432. - Compute probability: - p = 0.5 * (1 - alpha / a) = 0.5. + - p = 0.5 * (1 - alpha / a) = 0.5. - Assign: - Since p <= 0.5, assign x=1 to S2, y=2 to S1, and add both to S. - S1 = [2], S2 = [1], S = [1, 2]. + - Since p >= 0.5, assign x=0.7 to S2, y=0.55 to S1, and add both to S. + - S1 = [0.55], S2 = [0.7], S = [0.7, 0.55]. + + --- - Pair (3, 4): - - Inputs: S=[1, 2], S1=[2], S2=[1], sigma=1.1243847608566284. + **Pair (0.6, 0.65):** + + - Inputs: S=[0.7, 0.55], S1=[0.55], S2=[0.7], sigma=0.2109442800283432. - Compute b: - b(3,4) = sqrt(k(3,3) + k(4,4) - 2*k(3,4)) = 1.1243847608566284. + - b(0.6, 0.65) = 0.07066679745912552. - Compute alpha: - alpha = sum(k(s, 3) - k(s, 4) for s in S) - 2 * sum(k(s, 3) - k(s, 4) for s in S1). - alpha = -0.3313715159893036. + - alpha = -0.014906525611877441. - Compute a: - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 2.9770602825192523. + - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 0.035102729200688874. - Update sigma: - new_sigma = sqrt(sigma^2 + max(0, b^2 * (1 + (b^2 - 2*a) * sigma^2) / a^2)). - new_sigma = 1.297198507467962. + - new_sigma = 0.2109442800283432. - Compute probability: - p = 0.5 * (1 - alpha / a) = 0.5556541681289673. + - p = 0.7123271822929382. - Assign: - Since p > 0.5, assign x=3 to S1 and y=4 to S2, and add both to S. - S1 = [2, 3], S2 = [1, 4], S = [1, 2, 3, 4]. + - Since p > 0.5, assign x=0.6 to S2 and y=0.65 to S1, and add both to S. + - S1 = [0.55, 0.65], S2 = [0.7, 0.6], S = [0.7, 0.55, 0.6, 0.65]. + + --- - Pair (5, 6): - - Inputs: S=[1, 2, 3, 4], S1=[2, 3], S2=[1, 4], sigma=1.297198507467962. + **Pair (0.9, 0.1):** + + - Inputs: S=[0.7, 0.55, 0.6, 0.65], S1=[0.55, 0.65], S2=[0.7, 0.6], + sigma=0.2109442800283432. - Compute b: - b(5,6) = sqrt(k(5,5) + k(6,6) - 2*k(5,6)) = 1.1243847608566284. + - b(0.9, 0.1) = 0.9723246097564697. - Compute alpha: - alpha = sum(k(s, 5) - k(s, 6) for s in S) - 2 * sum(k(s, 5) - k(s, 6) for s in S1). - alpha = 0.33124834299087524. + - alpha = 0.12977957725524902. - Compute a: - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 3.434623326772776. + - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 0.9454151391983032. - Update sigma: - new_sigma = sqrt(sigma^2 + max(0, b^2 * (1 + (b^2 - 2*a) * sigma^2) / a^2)). - new_sigma = 1.3914653590235087. + - new_sigma = 0.9723246097564697. - Compute probability: - p = 0.5 * (1 - alpha / a) = 0.4517780542373657. + - p = 0.43136370182037354. - Assign: - Since p <= 0.5, assign x=5 to S2 and y=6 to S1, and add both to S. - S1 = [2, 3, 6], S2 = [1, 4, 5], S = [1, 2, 3, 4, 5, 6]. + - Since p < 0.5, assign x=0.9 to S1 and y=0.1 to S2, and add both to S. + - S1 = [0.55, 0.65, 0.9], S2 = [0.7, 0.6, 0.1], + S = [0.7, 0.55, 0.6, 0.65, 0.9, 0.1]. + + --- + + **Pair (0.11, 0.12):** - Pair (7, 8): - - Inputs: S=[1, 2, 3, 4, 5, 6], S1=[2, 3, 6], S2=[1, 4, 5], sigma=1.3914653590235087. + - Inputs: S=[0.7, 0.55, 0.6, 0.65, 0.9, 0.1], S1=[0.55, 0.65, 0.9], + S2=[0.7, 0.6, 0.1], sigma=0.9723246097564697. - Compute b: - b(7,8) = sqrt(k(7,7) + k(8,8) - 2*k(7,8)) = 1.1243847608566284. + - b(0.11, 0.12) = 0.014143308624625206. - Compute alpha: - alpha = sum(k(s, 7) - k(s, 8) for s in S) - 2 * sum(k(s, 7) - k(s, 8) for s in S1). - alpha = -0.33124834299087524. + - alpha = 0.008038222789764404. - Compute a: - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 3.6842159106604075. + - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 0.03238321865838572. - Update sigma: - new_sigma = sqrt(sigma^2 + max(0, b^2 * (1 + (b^2 - 2*a) * sigma^2) / a^2)). - new_sigma = 1.4490018035043584. + - new_sigma = 0.9723246097564697. - Compute probability: - p = 0.5 * (1 - alpha / a) = 0.5449550747871399. + - p = 0.3758890628814697. - Assign: - Since p > 0.5, assign x=7 to S1 and y=8 to S2, and add both to S. - S1 = [2, 3, 6, 7], S2 = [1, 4, 5, 8], S = [1, 2, 3, 4, 5, 6, 7, 8]. + - Since p < 0.5, assign x=0.11 to S1 and y=0.12 to S2, and add both to S. + - S1 = [0.55, 0.65, 0.9, 0.11], S2 = [0.7, 0.6, 0.1, 0.12], + S = [0.7, 0.55, 0.6, 0.65, 0.9, 0.1, 0.11, 0.12]. - Final result: - S1 = [2, 3, 6, 7], S2 = [1, 4, 5, 8]. + --- + + **Final result:** + + S1 = [0.55, 0.65, 0.9, 0.11], S2 = [0.7, 0.6, 0.1, 0.12]. """ # noqa: E501 # pylint: enable=line-too-long length_scale = 1.0 / jnp.sqrt(2) @@ -2324,7 +2334,7 @@ def test_kt_half_analytic(self) -> None: sqrt_kernel = SquaredExponentialKernel(length_scale=length_scale) delta = 1 / 8 random_key = jax.random.PRNGKey(seed=0) - data = Data(jnp.array([1, 2, 3, 4, 5, 6, 7, 8])) + data = Data(jnp.array([0.7, 0.55, 0.6, 0.65, 0.9, 0.10, 0.11, 0.12])) thinning_solver = KernelThinning( coreset_size=2, kernel=kernel, @@ -2342,5 +2352,9 @@ def deterministic_uniform(_key, _shape=None): jnp.asarray(s.coreset.data) for s in thinning_solver.kt_half(data) ] - np.testing.assert_array_equal(coresets[0], jnp.array([[2], [3], [6], [7]])) - np.testing.assert_array_equal(coresets[1], jnp.array([[1], [4], [5], [8]])) + np.testing.assert_array_equal( + coresets[0], jnp.array([[0.55], [0.65], [0.9], [0.11]]) + ) + np.testing.assert_array_equal( + coresets[1], jnp.array([[0.7], [0.6], [0.1], [0.12]]) + ) From 56182bb043788a68b85f904ca40296c0cbbbe363 Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Wed, 22 Jan 2025 10:02:02 +0000 Subject: [PATCH 08/16] chore: tidy up docstrings and typos #927 --- benchmark/blobs_benchmark.py | 2 +- benchmark/david_benchmark.py | 4 ---- benchmark/mnist_benchmark.py | 6 +++--- 3 files changed, 4 insertions(+), 8 deletions(-) diff --git a/benchmark/blobs_benchmark.py b/benchmark/blobs_benchmark.py index 5fd9b0311..44687e3cb 100644 --- a/benchmark/blobs_benchmark.py +++ b/benchmark/blobs_benchmark.py @@ -119,7 +119,7 @@ def setup_solvers( and the corresponding solver object. """ random_key = jax.random.PRNGKey(random_seed) - sqrt_kernel = sq_exp_kernel.get_sqrt_kernel(2) + sqrt_kernel = sq_exp_kernel.get_sqrt_kernel(dim=2) return [ ( "KernelHerding", diff --git a/benchmark/david_benchmark.py b/benchmark/david_benchmark.py index e955fc251..54bc051b0 100644 --- a/benchmark/david_benchmark.py +++ b/benchmark/david_benchmark.py @@ -29,7 +29,6 @@ """ import os -import sys import time from pathlib import Path from typing import Optional @@ -44,9 +43,6 @@ from coreax import Data from examples.david_map_reduce_weighted import downsample_opencv -sys.path.append(str(Path(__file__).parent.parent)) - - MAX_8BIT = 255 diff --git a/benchmark/mnist_benchmark.py b/benchmark/mnist_benchmark.py index ccb51ee64..2a34713f1 100644 --- a/benchmark/mnist_benchmark.py +++ b/benchmark/mnist_benchmark.py @@ -498,7 +498,7 @@ def _get_thinning_solver(_size: int) -> MapReduce: sqrt_kernel=sqrt_kernel, ) - return MapReduce(thinning_solver, leaf_size=15_000) + return MapReduce(thinning_solver, leaf_size=3 * _size) def _get_herding_solver(_size: int) -> MapReduce: """ @@ -512,7 +512,7 @@ def _get_herding_solver(_size: int) -> MapReduce: :return: MapReduce solver with KernelHerding as the base solver. """ herding_solver = KernelHerding(_size, kernel) - return MapReduce(herding_solver, leaf_size=15_000) + return MapReduce(herding_solver, leaf_size=3 * _size) def _get_stein_solver(_size: int) -> MapReduce: """ @@ -534,7 +534,7 @@ def _get_stein_solver(_size: int) -> MapReduce: stein_solver = SteinThinning( coreset_size=_size, kernel=stein_kernel, regularise=False ) - return MapReduce(stein_solver, leaf_size=15_000) + return MapReduce(stein_solver, leaf_size=3 * _size) def _get_random_solver(_size: int) -> RandomSample: """ From 2139c91c61897cf779816c43e72e3641bfee9426 Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Wed, 22 Jan 2025 10:09:09 +0000 Subject: [PATCH 09/16] chore: update the changelog #927 --- CHANGELOG.md | 1 + 1 file changed, 1 insertion(+) diff --git a/CHANGELOG.md b/CHANGELOG.md index 7c2fafcf9..409cb9ff0 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -35,6 +35,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 root kernel for the squared exponential kernel. (https://github.com/gchq/coreax/pull/883) - Added a new coreset algorithm Kernel Thinning. (https://github.com/gchq/coreax/pull/915) - Added (loose) lower bounds to all direct dependencies. (https://github.com/gchq/coreax/pull/920) +- Added Kernel Thinning to existing benchmarking tests. (https://github.com/gchq/coreax/pull/927) ### Fixed From 8213858717e8cbe0df3302a59e62e492b8e29fdb Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Wed, 29 Jan 2025 09:14:08 +0000 Subject: [PATCH 10/16] refactor: move initialise solvers to benchmark_utils.py #927 --- benchmark/blobs_benchmark.py | 1 + benchmark/david_benchmark.py | 2 +- benchmark/mnist_benchmark.py | 170 +--------------------------- benchmark/pounce_benchmark.py | 2 +- coreax/benchmark_util.py | 202 ++++++++++++++++++++++++++++++++++ 5 files changed, 206 insertions(+), 171 deletions(-) create mode 100644 coreax/benchmark_util.py diff --git a/benchmark/blobs_benchmark.py b/benchmark/blobs_benchmark.py index 44687e3cb..b1c2dfebc 100644 --- a/benchmark/blobs_benchmark.py +++ b/benchmark/blobs_benchmark.py @@ -111,6 +111,7 @@ def setup_solvers( :param coreset_size: The size of the coresets to be generated by the solvers. :param sq_exp_kernel: A Squared Exponential kernel for KernelHerding and RPCholesky. + The squared root kernel for KernelThinning is also derived from this kernel. :param stein_kernel: A Stein kernel object used for the SteinThinning solver. :param delta: The delta parameter for KernelThinning solver. :param random_seed: An integer seed for the random number generator. diff --git a/benchmark/david_benchmark.py b/benchmark/david_benchmark.py index 54bc051b0..5c79d0c32 100644 --- a/benchmark/david_benchmark.py +++ b/benchmark/david_benchmark.py @@ -38,9 +38,9 @@ import matplotlib.pyplot as plt import numpy as np from jax import random -from mnist_benchmark import get_solver_name, initialise_solvers from coreax import Data +from coreax.benchmark_util import get_solver_name, initialise_solvers from examples.david_map_reduce_weighted import downsample_opencv MAX_8BIT = 255 diff --git a/benchmark/mnist_benchmark.py b/benchmark/mnist_benchmark.py index 2a34713f1..6973fe19e 100644 --- a/benchmark/mnist_benchmark.py +++ b/benchmark/mnist_benchmark.py @@ -40,7 +40,6 @@ import json import os import time -from collections.abc import Callable from typing import Any, NamedTuple, Optional, Union import equinox as eqx @@ -52,22 +51,11 @@ import umap from flax import linen as nn from flax.training import train_state -from jaxtyping import Array, Float, Int from torch.utils.data import DataLoader, Dataset from torchvision import transforms from coreax import Data -from coreax.kernels import SquaredExponentialKernel, SteinKernel, median_heuristic -from coreax.score_matching import KernelDensityMatching -from coreax.solvers import ( - KernelHerding, - KernelThinning, - MapReduce, - RandomSample, - RPCholesky, - Solver, - SteinThinning, -) +from coreax.benchmark_util import get_solver_name, initialise_solvers # Convert PyTorch dataset to JAX arrays @@ -428,143 +416,6 @@ def prepare_datasets() -> tuple[jnp.ndarray, jnp.ndarray, jnp.ndarray, jnp.ndarr return train_data_jax, train_targets_jax, test_data_jax, test_targets_jax -def calculate_delta(n: Int[Array, "1"]) -> Float[Array, "1"]: - """ - Calculate the delta parameter for kernel thinning. - - The function evaluates the following cases: - 1. If `jnp.log(n)` is positive: - - Further evaluates `jnp.log(jnp.log(n))`. - * If this is also positive, returns `1 / n * jnp.log(jnp.log(n))`. - * Otherwise, returns `1 / n * jnp.log(n)`. - 2. If `jnp.log(n)` is negative: - - Returns `1 / n`. - - :param n: The size of the dataset we wish to reduce. - :return: The calculated delta value based on the described conditions. - """ - log_n = jnp.log(n) - if log_n > 0: - log_log_n = jnp.log(log_n) - if log_log_n > 0: - return 1 / (n * log_log_n) - return 1 / (n * log_n) - return 1 / n - - -def initialise_solvers( - train_data_umap: Data, key: jax.random.PRNGKey -) -> list[Callable[[int], Solver]]: - """ - Initialise and return a list of solvers for various coreset algorithms. - - Set up solvers for Kernel Herding, Stein Thinning, Random Sampling, and Randomised - Cholesky methods. Each solver has different parameter requirements. Some solvers - can utilise MapReduce, while others cannot,and some require specific kernels. - This setup allows them to be called by passing only the coreset size, - enabling easy integration in a loop for benchmarking. - - :param train_data_umap: The UMAP-transformed training data used for - length scale estimation for ``SquareExponentialKernel``. - :param key: The random key for initialising random solvers. - :return: A list of solvers functions for different coreset algorithms. - """ - # Set up kernel using median heuristic - num_data_points = len(train_data_umap) - num_samples_length_scale = min(num_data_points, 300) - random_seed = 45 - generator = np.random.default_rng(random_seed) - idx = generator.choice(num_data_points, num_samples_length_scale, replace=False) - length_scale = median_heuristic(train_data_umap[idx]) - kernel = SquaredExponentialKernel(length_scale=length_scale) - sqrt_kernel = kernel.get_sqrt_kernel(16) - - def _get_thinning_solver(_size: int) -> MapReduce: - """ - Set up KernelThinning to use ``MapReduce``. - - Create a KernelThinning solver with the specified size and return - it along with a MapReduce object for reducing a large dataset like - MNIST dataset. - - :param _size: The size of the coreset to be generated. - :return: MapReduce solver with KernelThinning as the base solver. - """ - thinning_solver = KernelThinning( - coreset_size=_size, - kernel=kernel, - random_key=key, - delta=calculate_delta(num_data_points), - sqrt_kernel=sqrt_kernel, - ) - - return MapReduce(thinning_solver, leaf_size=3 * _size) - - def _get_herding_solver(_size: int) -> MapReduce: - """ - Set up KernelHerding to use ``MapReduce``. - - Create a KernelHerding solver with the specified size and return - it along with a MapReduce object for reducing a large dataset like - MNIST dataset. - - :param _size: The size of the coreset to be generated. - :return: MapReduce solver with KernelHerding as the base solver. - """ - herding_solver = KernelHerding(_size, kernel) - return MapReduce(herding_solver, leaf_size=3 * _size) - - def _get_stein_solver(_size: int) -> MapReduce: - """ - Set up Stein Thinning to use ``MapReduce``. - - Create a SteinThinning solver with the specified coreset size, - using ``KernelDensityMatching`` score function for matching on - a subset of the dataset. - - :param _size: The size of the coreset to be generated. - :return: MapReduce solver with SteinThinning as the base solver. - """ - # Generate small dataset for ScoreMatching for Stein Kernel - - score_function = KernelDensityMatching(length_scale=length_scale).match( - train_data_umap[idx] - ) - stein_kernel = SteinKernel(kernel, score_function) - stein_solver = SteinThinning( - coreset_size=_size, kernel=stein_kernel, regularise=False - ) - return MapReduce(stein_solver, leaf_size=3 * _size) - - def _get_random_solver(_size: int) -> RandomSample: - """ - Set up Random Sampling to generate a coreset. - - :param _size: The size of the coreset to be generated. - :return: A RandomSample solver. - """ - random_solver = RandomSample(_size, key) - return random_solver - - def _get_rp_solver(_size: int) -> RPCholesky: - """ - Set up Randomised Cholesky solver. - - :param _size: The size of the coreset to be generated. - :return: A RPCholesky solver. - """ - rp_solver = RPCholesky(coreset_size=_size, kernel=kernel, random_key=key) - return rp_solver - - return [ - _get_random_solver, - _get_rp_solver, - _get_herding_solver, - _get_stein_solver, - _get_thinning_solver, - ] - - def train_model( data_bundle: dict[str, jnp.ndarray], key: jax.random.PRNGKey, @@ -647,25 +498,6 @@ def save_results(results: dict) -> None: print(f"Data has been saved to {file_name}") -def get_solver_name(solver: Callable[[int], Solver]) -> str: - """ - Get the name of the solver. - - This function extracts and returns the name of the solver class. - If ``_solver`` is an instance of :class:`~coreax.solvers.MapReduce`, it retrieves - the name of the :class:`~coreax.solvers.MapReduce.base_solver` class instead. - - :param solver: An instance of a solver, such as `MapReduce` or `RandomSample`. - :return: The name of the solver class. - """ - # Evaluate solver function to get an instance to interrogate - # Don't just inspect type annotations, as they may be incorrect - not robust - solver_instance = solver(1) - if isinstance(solver_instance, MapReduce): - return type(solver_instance.base_solver).__name__ - return type(solver_instance).__name__ - - # pylint: disable=too-many-locals def main() -> None: """ diff --git a/benchmark/pounce_benchmark.py b/benchmark/pounce_benchmark.py index ce01ea49b..41f119a7a 100644 --- a/benchmark/pounce_benchmark.py +++ b/benchmark/pounce_benchmark.py @@ -30,7 +30,7 @@ import umap from jax import random -from benchmark.mnist_benchmark import get_solver_name, initialise_solvers +from coreax.benchmark_util import get_solver_name, initialise_solvers from coreax.data import Data from coreax.solvers import MapReduce diff --git a/coreax/benchmark_util.py b/coreax/benchmark_util.py new file mode 100644 index 000000000..612b4b07c --- /dev/null +++ b/coreax/benchmark_util.py @@ -0,0 +1,202 @@ +# © Crown Copyright GCHQ +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +""" +Core functionality for setting up and managing coreset solvers. + +This module provides functions to initialise solvers Kernel Thinning, Kernel Herding, +Stein Thinning, Random Sampling, and Randomised Cholesky. It also defines helper +functions for computing solver parameters and retrieving solver names. +""" + +from collections.abc import Callable + +import jax +import jax.numpy as jnp +import numpy as np +from jaxtyping import Array, Float, Int + +from coreax import Data +from coreax.kernels import SquaredExponentialKernel, SteinKernel, median_heuristic +from coreax.score_matching import KernelDensityMatching +from coreax.solvers import ( + KernelHerding, + KernelThinning, + MapReduce, + RandomSample, + RPCholesky, + Solver, + SteinThinning, +) + + +def calculate_delta(n: Int[Array, "1"]) -> Float[Array, "1"]: + r""" + Calculate the delta parameter for kernel thinning. + + This function evaluates the following cases: + + 1. If :math:`\\log n` is positive: + - Further evaluates :math:`\\log (\\log n)`. + * If this is also positive, returns :math:`\frac{1}{n} \\log (\\log n)`. + * Otherwise, returns :math:`\frac{1}{n} \\log n`. + 2. If :math:`\\log n` is negative: + - Returns :math:`\frac{1}{n}`. + + The recommended value is :math:`\frac{1}{n} \\log (\\log n)`, but for small + values of :math:`n`, this may be negative or even undefined. Therefore, + alternative values are used in such cases. + + :param n: The size of the dataset we wish to reduce. + :return: The calculated delta value based on the described conditions. + """ + log_n = jnp.log(n) + if log_n > 0: + log_log_n = jnp.log(log_n) + if log_log_n > 0: + return 1 / (n * log_log_n) + return 1 / (n * log_n) + return 1 / n + + +def initialise_solvers( + train_data_umap: Data, key: jax.random.PRNGKey +) -> list[Callable[[int], Solver]]: + """ + Initialise and return a list of solvers for various coreset algorithms. + + Set up solvers for Kernel Herding, Stein Thinning, Random Sampling, and Randomised + Cholesky methods. Each solver has different parameter requirements. Some solvers + can utilise MapReduce, while others cannot,and some require specific kernels. + This setup allows them to be called by passing only the coreset size, + enabling easy integration in a loop for benchmarking. + + :param train_data_umap: The UMAP-transformed training data used for + length scale estimation for ``SquareExponentialKernel``. + :param key: The random key for initialising random solvers. + :return: A list of solvers functions for different coreset algorithms. + """ + # Set up kernel using median heuristic + num_data_points = len(train_data_umap) + num_samples_length_scale = min(num_data_points, 300) + random_seed = 45 + generator = np.random.default_rng(random_seed) + idx = generator.choice(num_data_points, num_samples_length_scale, replace=False) + length_scale = median_heuristic(train_data_umap[idx]) + kernel = SquaredExponentialKernel(length_scale=length_scale) + sqrt_kernel = kernel.get_sqrt_kernel(16) + + def _get_thinning_solver(_size: int) -> MapReduce: + """ + Set up KernelThinning to use ``MapReduce``. + + Create a KernelThinning solver with the specified size and return + it along with a MapReduce object for reducing a large dataset like + MNIST dataset. + + :param _size: The size of the coreset to be generated. + :return: MapReduce solver with KernelThinning as the base solver. + """ + thinning_solver = KernelThinning( + coreset_size=_size, + kernel=kernel, + random_key=key, + delta=calculate_delta(num_data_points), + sqrt_kernel=sqrt_kernel, + ) + + return MapReduce(thinning_solver, leaf_size=3 * _size) + + def _get_herding_solver(_size: int) -> MapReduce: + """ + Set up KernelHerding to use ``MapReduce``. + + Create a KernelHerding solver with the specified size and return + it along with a MapReduce object for reducing a large dataset like + MNIST dataset. + + :param _size: The size of the coreset to be generated. + :return: MapReduce solver with KernelHerding as the base solver. + """ + herding_solver = KernelHerding(_size, kernel) + return MapReduce(herding_solver, leaf_size=3 * _size) + + def _get_stein_solver(_size: int) -> MapReduce: + """ + Set up Stein Thinning to use ``MapReduce``. + + Create a SteinThinning solver with the specified coreset size, + using ``KernelDensityMatching`` score function for matching on + a subset of the dataset. + + :param _size: The size of the coreset to be generated. + :return: MapReduce solver with SteinThinning as the base solver. + """ + # Generate small dataset for ScoreMatching for Stein Kernel + + score_function = KernelDensityMatching(length_scale=length_scale).match( + train_data_umap[idx] + ) + stein_kernel = SteinKernel(kernel, score_function) + stein_solver = SteinThinning( + coreset_size=_size, kernel=stein_kernel, regularise=False + ) + return MapReduce(stein_solver, leaf_size=3 * _size) + + def _get_random_solver(_size: int) -> RandomSample: + """ + Set up Random Sampling to generate a coreset. + + :param _size: The size of the coreset to be generated. + :return: A RandomSample solver. + """ + random_solver = RandomSample(_size, key) + return random_solver + + def _get_rp_solver(_size: int) -> RPCholesky: + """ + Set up Randomised Cholesky solver. + + :param _size: The size of the coreset to be generated. + :return: A RPCholesky solver. + """ + rp_solver = RPCholesky(coreset_size=_size, kernel=kernel, random_key=key) + return rp_solver + + return [ + _get_random_solver, + _get_rp_solver, + _get_herding_solver, + _get_stein_solver, + _get_thinning_solver, + ] + + +def get_solver_name(solver: Callable[[int], Solver]) -> str: + """ + Get the name of the solver. + + This function extracts and returns the name of the solver class. + If ``_solver`` is an instance of :class:`~coreax.solvers.MapReduce`, it retrieves + the name of the :class:`~coreax.solvers.MapReduce.base_solver` class instead. + + :param solver: An instance of a solver, such as `MapReduce` or `RandomSample`. + :return: The name of the solver class. + """ + # Evaluate solver function to get an instance to interrogate + # Don't just inspect type annotations, as they may be incorrect - not robust + solver_instance = solver(1) + if isinstance(solver_instance, MapReduce): + return type(solver_instance.base_solver).__name__ + return type(solver_instance).__name__ From b9740a2353fdb0d4acb7947b7449a30ca760dc44 Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Wed, 29 Jan 2025 11:57:04 +0000 Subject: [PATCH 11/16] refactor: removed the first entry when computing time taken to generate coresets as the first run takes longer because it is jit compiled #927 --- CHANGELOG.md | 1 + benchmark/mnist_benchmark_visualiser.py | 6 ++++-- coreax/benchmark_util.py | 2 +- coreax/solvers/coresubset.py | 9 +++++---- documentation/source/benchmark.rst | 4 ++-- .../benchmarking_images/mnist_benchmark_accuracy.png | 4 ++-- .../benchmarking_images/mnist_benchmark_time_taken.png | 4 ++-- 7 files changed, 17 insertions(+), 13 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 409cb9ff0..a0284cbd8 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -49,6 +49,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 - Pylint pre-commit hook is now configured as the Pylint docs recommend. (https://github.com/gchq/coreax/pull/899) - Type annotations so that core coreax package passes Pyright. (https://github.com/gchq/coreax/pull/906) - Type annotations so that the example scripts pass Pyright. (https://github.com/gchq/coreax/pull/921) +- `KernelThinning` now computes swap probability correctly. (https://github.com/gchq/coreax/pull/932) ### Changed diff --git a/benchmark/mnist_benchmark_visualiser.py b/benchmark/mnist_benchmark_visualiser.py index 76287a457..9a14bc929 100644 --- a/benchmark/mnist_benchmark_visualiser.py +++ b/benchmark/mnist_benchmark_visualiser.py @@ -77,7 +77,8 @@ def compute_statistics( size_str = str(size) accuracies, times = [], [] if size_str in sizes: - for run_data in sizes[size_str].values(): + run_list = list(sizes[size_str].values())[1:] # Skip the first run + for run_data in run_list: accuracies.append(run_data["accuracy"]) times.append(run_data["time_taken"]) accuracy_stats[algo]["points"][size].append(run_data["accuracy"]) @@ -119,7 +120,8 @@ def compute_time_statistics(data: dict, coreset_sizes: list[int]) -> dict: size_str = str(size) times = [] if size_str in sizes: - for time in sizes[size_str].values(): + run_list = list(sizes[size_str].values())[1:] # Skip the first run + for time in run_list: times.append(time) stats[algo]["points"][size].append(time) diff --git a/coreax/benchmark_util.py b/coreax/benchmark_util.py index 612b4b07c..8169bc7a2 100644 --- a/coreax/benchmark_util.py +++ b/coreax/benchmark_util.py @@ -169,7 +169,7 @@ def _get_rp_solver(_size: int) -> RPCholesky: Set up Randomised Cholesky solver. :param _size: The size of the coreset to be generated. - :return: A RPCholesky solver. + :return: An RPCholesky solver. """ rp_solver = RPCholesky(coreset_size=_size, kernel=kernel, random_key=key) return rp_solver diff --git a/coreax/solvers/coresubset.py b/coreax/solvers/coresubset.py index a8838a51c..3c3ee0b34 100644 --- a/coreax/solvers/coresubset.py +++ b/coreax/solvers/coresubset.py @@ -1099,11 +1099,12 @@ def probabilistic_swap( """ key1, key2 = jax.random.split(random_key) - prob = jax.random.uniform(key1) + swap_probability = 1 / 2 * (1 - alpha / a) + should_swap = jax.random.uniform(key1) < swap_probability return lax.cond( - prob > 1 / 2 * (1 - alpha / a), - lambda _: (2 * i, 2 * i + 1), # first case: val1 = x1, val2 = x2 - lambda _: (2 * i + 1, 2 * i), # second case: val1 = x2, val2 = x1 + should_swap, + lambda _: (2 * i + 1, 2 * i), # do swap: val1 = x2, val2 = x1 + lambda _: (2 * i, 2 * i + 1), # don't swap: val1 = x1, val2 = x2 None, ), key2 diff --git a/documentation/source/benchmark.rst b/documentation/source/benchmark.rst index 8f979500d..bf7303ae3 100644 --- a/documentation/source/benchmark.rst +++ b/documentation/source/benchmark.rst @@ -4,7 +4,7 @@ Benchmarking Coreset Algorithms In this benchmark, we assess the performance of four different coreset algorithms: :class:`~coreax.solvers.KernelHerding`, :class:`~coreax.solvers.SteinThinning`, :class:`~coreax.solvers.RandomSample`, :class:`~coreax.solvers.RPCholesky` and -:class:`~coreax.solvers.KernelThinning`.Each of these algorithms is evaluated across +:class:`~coreax.solvers.KernelThinning`. Each of these algorithms is evaluated across four different tests, providing a comparison of their performance and applicability to various datasets. @@ -35,7 +35,7 @@ these steps: measured on the test set of 10,000 images. 6. **Evaluation**: Due to randomness in the coreset algorithms and training process, - the experiment is repeated 5 times with different random seeds. The benchmark is run + the experiment is repeated 4 times with different random seeds. The benchmark is run on an **Amazon Web Services EC2 g4dn.12xlarge instance** with 4 NVIDIA T4 Tensor Core GPUs, 48 vCPUs, and 192 GiB memory. diff --git a/examples/benchmarking_images/mnist_benchmark_accuracy.png b/examples/benchmarking_images/mnist_benchmark_accuracy.png index 9f4107f22..ca35c12c5 100644 --- a/examples/benchmarking_images/mnist_benchmark_accuracy.png +++ b/examples/benchmarking_images/mnist_benchmark_accuracy.png @@ -1,3 +1,3 @@ version https://git-lfs.github.com/spec/v1 -oid sha256:042c0ebc79a3b43e089f162b262528450356fc03246cdbc394c81bb3e9a63202 -size 66283 +oid sha256:2c705227205915da97a4c80cabee1048caba54995928c0b623271724a00d41c7 +size 65234 diff --git a/examples/benchmarking_images/mnist_benchmark_time_taken.png b/examples/benchmarking_images/mnist_benchmark_time_taken.png index a9a13f25f..1df5c8463 100644 --- a/examples/benchmarking_images/mnist_benchmark_time_taken.png +++ b/examples/benchmarking_images/mnist_benchmark_time_taken.png @@ -1,3 +1,3 @@ version https://git-lfs.github.com/spec/v1 -oid sha256:bc04bfd082f69c0781fd570a5726c7df6593229d06e74e2780de42ef892c2e19 -size 57162 +oid sha256:5dfe92ce3124097afb476f2827620c05109f4c8352a0a8e96f73c79522bbc4bd +size 52228 From 38fc9c248dcc6e0d9cb6038aed1b00d8194b55c6 Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Wed, 29 Jan 2025 12:26:02 +0000 Subject: [PATCH 12/16] refactor: explained the swap probability in test #927 --- coreax/solvers/coresubset.py | 2 +- tests/unit/test_solvers.py | 42 ++++++++++++++++++++++++------------ 2 files changed, 29 insertions(+), 15 deletions(-) diff --git a/coreax/solvers/coresubset.py b/coreax/solvers/coresubset.py index 3c3ee0b34..cc181b0bc 100644 --- a/coreax/solvers/coresubset.py +++ b/coreax/solvers/coresubset.py @@ -1100,7 +1100,7 @@ def probabilistic_swap( key1, key2 = jax.random.split(random_key) swap_probability = 1 / 2 * (1 - alpha / a) - should_swap = jax.random.uniform(key1) < swap_probability + should_swap = jax.random.uniform(key1) <= swap_probability return lax.cond( should_swap, lambda _: (2 * i + 1, 2 * i), # do swap: val1 = x2, val2 = x1 diff --git a/tests/unit/test_solvers.py b/tests/unit/test_solvers.py index ed33906f7..c34660107 100644 --- a/tests/unit/test_solvers.py +++ b/tests/unit/test_solvers.py @@ -2193,8 +2193,10 @@ def test_kt_half_analytic(self) -> None: that determines whether :math:`x` goes to S1 and :math:`y` to S2, or vice versa. In either case, both :math:`x` and :math:`y` are added to S. - If swap probability is less than 0.5, we add the x and y to S1 and S2 - respectively, otherwise we swap x and y and then add x to S1 and y to S2. + We swap x and y with probability equal to swap probability and then add x and y + to S1 and S2 respectively. For the purpose of analytic test, if swap probability + is less than 0.5, we do not swap and add x and y to S1 and S2 respectively, + otherwise we swap x and y and then add x to S1 and y to S2. The process is as follows: @@ -2249,14 +2251,21 @@ def test_kt_half_analytic(self) -> None: - Inputs: S=[], S1=[], S2=[], sigma=0, delta=1/8. - Compute b: - - b(0.7, 0.55) = 0.2109442800283432. - - Compute alpha: alpha = 0 (as S and S1 are empty). + - .. math:: + b(0.7, 0.55) = \sqrt{k(0.7, 0.7) + k(0.55, 0.55) - 2k(0.7, 0.55)} + = 0.2109442800283432. + - Compute alpha: + - Since S and S1 are empty, alpha = 0. - Compute a: - - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 0.04449748992919922. + - .. math:: + a = \max(b \cdot \sigma \cdot \sqrt{2 \ln(2 / \delta)}, b^2) + = 0.04449748992919922. - Update sigma: - new_sigma = 0.2109442800283432. - Compute probability: - - p = 0.5 * (1 - alpha / a) = 0.5. + - .. math:: + p = 0.5 \cdot \left(1 - \frac{\alpha}{a}\right) + = 0.5. - Assign: - Since p >= 0.5, assign x=0.7 to S2, y=0.55 to S1, and add both to S. - S1 = [0.55], S2 = [0.7], S = [0.7, 0.55]. @@ -2267,11 +2276,13 @@ def test_kt_half_analytic(self) -> None: - Inputs: S=[0.7, 0.55], S1=[0.55], S2=[0.7], sigma=0.2109442800283432. - Compute b: - - b(0.6, 0.65) = 0.07066679745912552. + - .. math:: + b(0.6, 0.65) = \sqrt{k(0.6, 0.6) + k(0.65, 0.65) - 2k(0.6, 0.65)} + = 0.07066679745912552. - Compute alpha: - alpha = -0.014906525611877441. - Compute a: - - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 0.035102729200688874. + - a = 0.035102729200688874. - Update sigma: - new_sigma = 0.2109442800283432. - Compute probability: @@ -2287,11 +2298,13 @@ def test_kt_half_analytic(self) -> None: - Inputs: S=[0.7, 0.55, 0.6, 0.65], S1=[0.55, 0.65], S2=[0.7, 0.6], sigma=0.2109442800283432. - Compute b: - - b(0.9, 0.1) = 0.9723246097564697. + - .. math:: + b(0.9, 0.1) = \sqrt{k(0.9, 0.9) + k(0.1, 0.1) - 2k(0.9, 0.1)} + = 0.9723246097564697. - Compute alpha: - alpha = 0.12977957725524902. - Compute a: - - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 0.9454151391983032. + - a = 0.9454151391983032. - Update sigma: - new_sigma = 0.9723246097564697. - Compute probability: @@ -2308,11 +2321,13 @@ def test_kt_half_analytic(self) -> None: - Inputs: S=[0.7, 0.55, 0.6, 0.65, 0.9, 0.1], S1=[0.55, 0.65, 0.9], S2=[0.7, 0.6, 0.1], sigma=0.9723246097564697. - Compute b: - - b(0.11, 0.12) = 0.014143308624625206. + - .. math:: + b(0.11, 0.12) = \sqrt{k(0.11, 0.11) + k(0.12, 0.12) - 2k(0.11, 0.12)} + = 0.014143308624625206. - Compute alpha: - alpha = 0.008038222789764404. - Compute a: - - a = max(b * sigma * sqrt(2 * log(2/delta)), b^2) = 0.03238321865838572. + - a = 0.03238321865838572. - Update sigma: - new_sigma = 0.9723246097564697. - Compute probability: @@ -2320,12 +2335,11 @@ def test_kt_half_analytic(self) -> None: - Assign: - Since p < 0.5, assign x=0.11 to S1 and y=0.12 to S2, and add both to S. - S1 = [0.55, 0.65, 0.9, 0.11], S2 = [0.7, 0.6, 0.1, 0.12], - S = [0.7, 0.55, 0.6, 0.65, 0.9, 0.1, 0.11, 0.12]. + S = [0.7, 0.55, 0.6, 0.65, 0.9, 0.1, 0.11, 0.12]. --- **Final result:** - S1 = [0.55, 0.65, 0.9, 0.11], S2 = [0.7, 0.6, 0.1, 0.12]. """ # noqa: E501 # pylint: enable=line-too-long From 2df0ce71fe7a199a27e3e31026605f43ce847255 Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Wed, 29 Jan 2025 12:49:56 +0000 Subject: [PATCH 13/16] chore: pyright fixes #927 --- coreax/benchmark_util.py | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/coreax/benchmark_util.py b/coreax/benchmark_util.py index 8169bc7a2..69694fa90 100644 --- a/coreax/benchmark_util.py +++ b/coreax/benchmark_util.py @@ -22,10 +22,9 @@ from collections.abc import Callable -import jax import jax.numpy as jnp import numpy as np -from jaxtyping import Array, Float, Int +from jaxtyping import Array, Float from coreax import Data from coreax.kernels import SquaredExponentialKernel, SteinKernel, median_heuristic @@ -39,9 +38,10 @@ Solver, SteinThinning, ) +from coreax.util import KeyArrayLike -def calculate_delta(n: Int[Array, "1"]) -> Float[Array, "1"]: +def calculate_delta(n: int) -> Float[Array, "1"]: r""" Calculate the delta parameter for kernel thinning. @@ -67,11 +67,11 @@ def calculate_delta(n: Int[Array, "1"]) -> Float[Array, "1"]: if log_log_n > 0: return 1 / (n * log_log_n) return 1 / (n * log_n) - return 1 / n + return jnp.array(1 / n) def initialise_solvers( - train_data_umap: Data, key: jax.random.PRNGKey + train_data_umap: Data, key: KeyArrayLike ) -> list[Callable[[int], Solver]]: """ Initialise and return a list of solvers for various coreset algorithms. @@ -93,7 +93,7 @@ def initialise_solvers( random_seed = 45 generator = np.random.default_rng(random_seed) idx = generator.choice(num_data_points, num_samples_length_scale, replace=False) - length_scale = median_heuristic(train_data_umap[idx]) + length_scale = median_heuristic(jnp.asarray(train_data_umap[idx])) kernel = SquaredExponentialKernel(length_scale=length_scale) sqrt_kernel = kernel.get_sqrt_kernel(16) @@ -112,7 +112,7 @@ def _get_thinning_solver(_size: int) -> MapReduce: coreset_size=_size, kernel=kernel, random_key=key, - delta=calculate_delta(num_data_points), + delta=calculate_delta(num_data_points).item(), sqrt_kernel=sqrt_kernel, ) @@ -145,7 +145,7 @@ def _get_stein_solver(_size: int) -> MapReduce: """ # Generate small dataset for ScoreMatching for Stein Kernel - score_function = KernelDensityMatching(length_scale=length_scale).match( + score_function = KernelDensityMatching(length_scale=length_scale.item()).match( train_data_umap[idx] ) stein_kernel = SteinKernel(kernel, score_function) From f23a7d10f20ea79b60d27b9344e2b881997fd206 Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Wed, 29 Jan 2025 15:29:19 +0000 Subject: [PATCH 14/16] chore: Add test for benchmark_util #927 --- tests/unit/test_benchmark.py | 33 +++++++++++++++++++++++++++++++++ 1 file changed, 33 insertions(+) diff --git a/tests/unit/test_benchmark.py b/tests/unit/test_benchmark.py index aa8a16608..2e066083c 100644 --- a/tests/unit/test_benchmark.py +++ b/tests/unit/test_benchmark.py @@ -32,6 +32,13 @@ convert_to_jax_arrays, train_and_evaluate, ) +from coreax import Data +from coreax.benchmark_util import initialise_solvers +from coreax.solvers import ( + MapReduce, + RandomSample, + RPCholesky, +) class MockDataset(Dataset): @@ -121,5 +128,31 @@ def test_train_and_evaluate() -> None: assert 0.0 <= result["final_test_accuracy"] <= 1.0 +def test_initialise_solvers() -> None: + """ + Test the :func:`initialise_solvers`. + + Ensure that `initialise_solvers` returns exactly five solvers. + Verify that the returned list contains callable functions that produce + valid solver instances. + """ + # Create a mock dataset (UMAP-transformed) with arbitrary values + mock_data = Data(jnp.array([[0.1, 0.2], [0.3, 0.4], [0.5, 0.6], [0.7, 0.8]])) + + # Generate a random key + key = random.PRNGKey(42) + + # Call the function + solvers = initialise_solvers(mock_data, key) + + # Ensure each solver is a callable function that returns a solver instance + for solver in solvers: + assert callable(solver), "Solver should be a callable function" + solver_instance = solver(1) # Instantiate with a coreset size of 1 + assert isinstance(solver_instance, (MapReduce, RandomSample, RPCholesky)), ( + f"Unexpected solver type: {type(solver_instance)}" + ) + + if __name__ == "__main__": pytest.main() From bd297a2518e856f3454abf0ff3864f9279ee52c5 Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Wed, 29 Jan 2025 16:03:56 +0000 Subject: [PATCH 15/16] chore: Increase test coverage #927 --- tests/unit/test_benchmark.py | 34 +++++++++++++++++++++++++++++++++- 1 file changed, 33 insertions(+), 1 deletion(-) diff --git a/tests/unit/test_benchmark.py b/tests/unit/test_benchmark.py index 2e066083c..b78111cfa 100644 --- a/tests/unit/test_benchmark.py +++ b/tests/unit/test_benchmark.py @@ -33,8 +33,10 @@ train_and_evaluate, ) from coreax import Data -from coreax.benchmark_util import initialise_solvers +from coreax.benchmark_util import calculate_delta, get_solver_name, initialise_solvers +from coreax.kernel import SquaredExponentialKernel from coreax.solvers import ( + KernelHerding, MapReduce, RandomSample, RPCholesky, @@ -154,5 +156,35 @@ def test_initialise_solvers() -> None: ) +def test_get_solver_name(): + """ + Test `get_solver_name` function to ensure it returns correct solver names. + """ + # Create a KernelHerding solver + herding_solver = KernelHerding(coreset_size=5, kernel=SquaredExponentialKernel()) + + # Wrap it in MapReduce + map_reduce_solver = MapReduce(base_solver=herding_solver, leaf_size=15) + + assert get_solver_name(lambda _: herding_solver) == "KernelHerding", ( + "Expected 'KernelHerding' but got something else." + ) + + assert get_solver_name(lambda _: map_reduce_solver) == "KernelHerding", ( + "Expected 'KernelHerding' from MapReduce solver but got something else." + ) + + +@pytest.mark.parametrize("n", [10, 100, 1000]) +def test_calculate_delta(n): + """ + Test the `calculate_delta` function. + + Ensure that the function produces a positive delta value for different values of n. + """ + delta = calculate_delta(n) + assert delta > 0, f"Delta should be positive but got {delta} for n={n}" + + if __name__ == "__main__": pytest.main() From d57524ac5a94ab74bf2d5a3a9ddc25eaa64c12aa Mon Sep 17 00:00:00 2001 From: qh681248 <181246904+qh681248@users.noreply.github.com> Date: Thu, 30 Jan 2025 11:05:16 +0000 Subject: [PATCH 16/16] chore: fix typos and add clearer docstrings and comments #927 --- benchmark/blobs_benchmark.py | 2 +- benchmark/mnist_benchmark_visualiser.py | 13 +++++++++++-- coreax/benchmark_util.py | 6 +++--- coreax/solvers/coresubset.py | 5 +++-- tests/unit/test_benchmark.py | 7 ------- 5 files changed, 18 insertions(+), 15 deletions(-) diff --git a/benchmark/blobs_benchmark.py b/benchmark/blobs_benchmark.py index b1c2dfebc..075488137 100644 --- a/benchmark/blobs_benchmark.py +++ b/benchmark/blobs_benchmark.py @@ -111,7 +111,7 @@ def setup_solvers( :param coreset_size: The size of the coresets to be generated by the solvers. :param sq_exp_kernel: A Squared Exponential kernel for KernelHerding and RPCholesky. - The squared root kernel for KernelThinning is also derived from this kernel. + The square root kernel for KernelThinning is also derived from this kernel. :param stein_kernel: A Stein kernel object used for the SteinThinning solver. :param delta: The delta parameter for KernelThinning solver. :param random_seed: An integer seed for the random number generator. diff --git a/benchmark/mnist_benchmark_visualiser.py b/benchmark/mnist_benchmark_visualiser.py index 9a14bc929..3684e6798 100644 --- a/benchmark/mnist_benchmark_visualiser.py +++ b/benchmark/mnist_benchmark_visualiser.py @@ -42,6 +42,10 @@ def compute_statistics( """ Compute statistical summary (mean, min, max). + The parameter data_by_solver contains time and accuracy data for different solvers + for different seeds. The data for the first run is skipped because it is much slower + due to JIT compilation. + :param data_by_solver: A dictionary where each key is an algorithm name, and each value is a dictionary mapping coreset size to benchmark results. Benchmark results include multiple @@ -77,7 +81,8 @@ def compute_statistics( size_str = str(size) accuracies, times = [], [] if size_str in sizes: - run_list = list(sizes[size_str].values())[1:] # Skip the first run + # Skip the first run as it is much slower due to JIT compilation + run_list = list(sizes[size_str].values())[1:] for run_data in run_list: accuracies.append(run_data["accuracy"]) times.append(run_data["time_taken"]) @@ -99,6 +104,9 @@ def compute_time_statistics(data: dict, coreset_sizes: list[int]) -> dict: """ Compute statistical summary (mean, min, max) for standalone time data. + The data for the first run is skipped because it is much slower due to JIT + compilation. + :param data: A dictionary containing time data for different algorithms and coreset sizes. :param coreset_sizes: A list of integer coreset sizes to evaluate. @@ -120,7 +128,8 @@ def compute_time_statistics(data: dict, coreset_sizes: list[int]) -> dict: size_str = str(size) times = [] if size_str in sizes: - run_list = list(sizes[size_str].values())[1:] # Skip the first run + # Skip the first run as it is much slower due to JIT compilation + run_list = list(sizes[size_str].values())[1:] for time in run_list: times.append(time) stats[algo]["points"][size].append(time) diff --git a/coreax/benchmark_util.py b/coreax/benchmark_util.py index 69694fa90..e30e036ca 100644 --- a/coreax/benchmark_util.py +++ b/coreax/benchmark_util.py @@ -49,12 +49,12 @@ def calculate_delta(n: int) -> Float[Array, "1"]: 1. If :math:`\\log n` is positive: - Further evaluates :math:`\\log (\\log n)`. - * If this is also positive, returns :math:`\frac{1}{n} \\log (\\log n)`. - * Otherwise, returns :math:`\frac{1}{n} \\log n`. + * If this is also positive, returns :math:`\frac{1}{n \\log (\\log n)}`. + * Otherwise, returns :math:`\frac{1}{n \\log n}`. 2. If :math:`\\log n` is negative: - Returns :math:`\frac{1}{n}`. - The recommended value is :math:`\frac{1}{n} \\log (\\log n)`, but for small + The recommended value is :math:`\frac{1}{n \\log (\\log n)}`, but for small values of :math:`n`, this may be negative or even undefined. Therefore, alternative values are used in such cases. diff --git a/coreax/solvers/coresubset.py b/coreax/solvers/coresubset.py index cc181b0bc..b7433a904 100644 --- a/coreax/solvers/coresubset.py +++ b/coreax/solvers/coresubset.py @@ -882,8 +882,9 @@ class KernelThinning(CoresubsetSolver[_Data, None], ExplicitSizeSolver): :param random_key: Key for random number generation, enabling reproducibility of probabilistic components in the algorithm. :param delta: A float between 0 and 1 used to compute the swapping probability - during the splitting process. A recommended value is :math:`1 / \log(\log(n))`, - where :math:`n` is the length of the original dataset. + during the splitting process. A recommended value is + :math:`\frac{1}{n \log (\log n)}`, where :math:`n` is the length of the original + dataset. :param sqrt_kernel: A `~coreax.kernels.ScalarValuedKernel` instance representing the square root kernel used for splitting the original dataset. """ diff --git a/tests/unit/test_benchmark.py b/tests/unit/test_benchmark.py index b78111cfa..c617f2d96 100644 --- a/tests/unit/test_benchmark.py +++ b/tests/unit/test_benchmark.py @@ -134,22 +134,15 @@ def test_initialise_solvers() -> None: """ Test the :func:`initialise_solvers`. - Ensure that `initialise_solvers` returns exactly five solvers. Verify that the returned list contains callable functions that produce valid solver instances. """ # Create a mock dataset (UMAP-transformed) with arbitrary values mock_data = Data(jnp.array([[0.1, 0.2], [0.3, 0.4], [0.5, 0.6], [0.7, 0.8]])) - - # Generate a random key key = random.PRNGKey(42) - # Call the function solvers = initialise_solvers(mock_data, key) - - # Ensure each solver is a callable function that returns a solver instance for solver in solvers: - assert callable(solver), "Solver should be a callable function" solver_instance = solver(1) # Instantiate with a coreset size of 1 assert isinstance(solver_instance, (MapReduce, RandomSample, RPCholesky)), ( f"Unexpected solver type: {type(solver_instance)}"