diff --git a/Project.toml b/Project.toml
index 0b8dc927b..d765ec2f5 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "DynamicPPL"
 uuid = "366bfd00-2699-11ea-058f-f148b4cae6d8"
-version = "0.22.1"
+version = "0.22.2"
 
 [deps]
 AbstractMCMC = "80f14c24-f653-4e6a-9b94-39d6b0f70001"
@@ -9,17 +9,28 @@ BangBang = "198e06fe-97b7-11e9-32a5-e1d131e6ad66"
 Bijectors = "76274a88-744f-5084-9051-94815aaf08c4"
 ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
 ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
+DimensionalData = "0703355e-b756-11e9-17c0-8b28908087d0"
 Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
 DocStringExtensions = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
+InferenceObjects = "b5cf5a8d-e756-4ee3-b014-01d49d192c00"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 LogDensityProblems = "6fdf6af0-433a-55f7-b3ed-c6c6e0b8df7c"
 MacroTools = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
 OrderedCollections = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 Setfield = "efcf1570-3423-57d1-acb7-fd33fddbac46"
+StatsBase = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 ZygoteRules = "700de1a5-db45-46bc-99cf-38207098b444"
 
+[weakdeps]
+DimensionalData = "0703355e-b756-11e9-17c0-8b28908087d0"
+InferenceObjects = "b5cf5a8d-e756-4ee3-b014-01d49d192c00"
+StatsBase = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
+
+[extensions]
+DynamicPPLInferenceObjectsExt = ["DimensionalData", "InferenceObjects", "StatsBase"]
+
 [compat]
 AbstractMCMC = "2, 3.0, 4"
 AbstractPPL = "0.5.3"
@@ -27,11 +38,14 @@ BangBang = "0.3"
 Bijectors = "0.11, 0.12"
 ChainRulesCore = "0.9.7, 0.10, 1"
 ConstructionBase = "1"
+DimensionalData = "0.23.1, 0.24"
 Distributions = "0.23.8, 0.24, 0.25"
 DocStringExtensions = "0.8, 0.9"
+InferenceObjects = "0.3"
 LogDensityProblems = "2"
 MacroTools = "0.5.6"
 OrderedCollections = "1"
 Setfield = "0.7.1, 0.8, 1"
+StatsBase = "0.32, 0.33"
 ZygoteRules = "0.2"
 julia = "1.6"
diff --git a/ext/DynamicPPLInferenceObjectsExt/DynamicPPLInferenceObjectsExt.jl b/ext/DynamicPPLInferenceObjectsExt/DynamicPPLInferenceObjectsExt.jl
new file mode 100644
index 000000000..e6ffbd4b3
--- /dev/null
+++ b/ext/DynamicPPLInferenceObjectsExt/DynamicPPLInferenceObjectsExt.jl
@@ -0,0 +1,17 @@
+module DynamicPPLInferenceObjectsExt
+
+using AbstractPPL: AbstractPPL
+using DimensionalData: DimensionalData, Dimensions, LookupArrays
+using DynamicPPL: DynamicPPL
+using InferenceObjects: InferenceObjects
+using Random: Random
+using StatsBase: StatsBase
+
+include("utils.jl")
+include("varinfo.jl")
+include("condition.jl")
+include("generated_quantities.jl")
+include("predict.jl")
+include("pointwise_loglikelihoods.jl")
+
+end
diff --git a/ext/DynamicPPLInferenceObjectsExt/condition.jl b/ext/DynamicPPLInferenceObjectsExt/condition.jl
new file mode 100644
index 000000000..ac40d84b2
--- /dev/null
+++ b/ext/DynamicPPLInferenceObjectsExt/condition.jl
@@ -0,0 +1,10 @@
+function AbstractPPL.condition(
+    context::AbstractPPL.AbstractContext, data::InferenceObjects.Dataset
+)
+    return AbstractPPL.condition(context, NamedTuple(data))
+end
+function AbstractPPL.condition(
+    context::AbstractPPL.AbstractContext, data::InferenceObjects.InferenceData
+)
+    return AbstractPPL.condition(context, data.posterior)
+end
diff --git a/ext/DynamicPPLInferenceObjectsExt/generated_quantities.jl b/ext/DynamicPPLInferenceObjectsExt/generated_quantities.jl
new file mode 100644
index 000000000..1da2842e5
--- /dev/null
+++ b/ext/DynamicPPLInferenceObjectsExt/generated_quantities.jl
@@ -0,0 +1,28 @@
+function DynamicPPL.generated_quantities(
+    mod::DynamicPPL.Model, data::InferenceObjects.Dataset; coords=(;), kwargs...
+)
+    sample_dims = Dimensions.dims(data, (:draw, :chain))
+    diminds = DimensionalData.DimIndices(sample_dims)
+    values = map(diminds) do dims
+        DynamicPPL.generated_quantities(mod, data[dims...])
+    end
+    coords = merge(coords, dims2coords(sample_dims))
+    return InferenceObjects.convert_to_dataset(
+        collect(eachcol(values)); coords=coords, kwargs...
+    )
+end
+
+function DynamicPPL.generated_quantities(
+    mod::DynamicPPL.Model, idata::InferenceObjects.InferenceData; kwargs...
+)
+    new_groups = Dict{Symbol,InferenceObjects.Dataset}()
+    for k in (:posterior, :prior)
+        if haskey(idata, k)
+            data = idata[k]
+            new_groups[k] = merge(
+                DynamicPPL.generated_quantities(mod, data; kwargs...), data
+            )
+        end
+    end
+    return merge(idata, InferenceObjects.InferenceData(; new_groups...))
+end
diff --git a/ext/DynamicPPLInferenceObjectsExt/pointwise_loglikelihoods.jl b/ext/DynamicPPLInferenceObjectsExt/pointwise_loglikelihoods.jl
new file mode 100644
index 000000000..79c14a2d8
--- /dev/null
+++ b/ext/DynamicPPLInferenceObjectsExt/pointwise_loglikelihoods.jl
@@ -0,0 +1,35 @@
+function DynamicPPL.pointwise_loglikelihoods(
+    model::DynamicPPL.Model, data::InferenceObjects.Dataset; coords=(;), kwargs...
+)
+    # Get the data by executing the model once
+    vi = DynamicPPL.VarInfo(model)
+    context = DynamicPPL.PointwiseLikelihoodContext(Dict{String,Vector{Float64}}())
+
+    iters = Iterators.product(axes(data, :draw), axes(data, :chain))
+    for (draw, chain) in iters
+        # Update the values
+        DynamicPPL.setval!(vi, data, draw, chain)
+
+        # Execute model
+        model(vi, context)
+    end
+
+    ndraws = size(data, :draw)
+    nchains = size(data, :chain)
+    # TODO: optionally post-process idata to convert index variables like Symbol("y[1]") to Symbol("y")
+    loglikelihoods = Dict(
+        varname => reshape(logliks, ndraws, nchains) for
+        (varname, logliks) in context.loglikelihoods
+    )
+    isempty(loglikelihoods) && return nothing
+    coords = merge(coords, dims2coords(Dimensions.dims(data, (:draw, :chain))))
+    return InferenceObjects.convert_to_dataset(
+        loglikelihoods; group=:log_likelihood, coords=coords, kwargs...
+    )
+end
+function DynamicPPL.pointwise_loglikelihoods(
+    model::DynamicPPL.Model, data::InferenceObjects.InferenceData; kwargs...
+)
+    log_likelihood = DynamicPPL.pointwise_loglikelihoods(model, data.posterior; kwargs...)
+    return merge(data, InferenceObjects.InferenceData(; log_likelihood=log_likelihood))
+end
diff --git a/ext/DynamicPPLInferenceObjectsExt/predict.jl b/ext/DynamicPPLInferenceObjectsExt/predict.jl
new file mode 100644
index 000000000..586c611de
--- /dev/null
+++ b/ext/DynamicPPLInferenceObjectsExt/predict.jl
@@ -0,0 +1,72 @@
+function StatsBase.predict(
+    rng::Random.AbstractRNG,
+    model::DynamicPPL.Model,
+    data::InferenceObjects.Dataset;
+    coords=(;),
+    kwargs...,
+)
+    spl = DynamicPPL.SampleFromPrior()
+    vi = DynamicPPL.VarInfo(model)
+    iters = Iterators.product(axes(data, :draw), axes(data, :chain))
+    values = map(iters) do (draw_id, chain_id)
+        # Set variables present in `data` and mark those NOT present in data to be resampled.
+        DynamicPPL.setval_and_resample!(vi, data, draw_id, chain_id)
+        model(rng, vi, spl)
+        return map(concretize, DynamicPPL.values_as(vi, NamedTuple))
+    end
+    coords = merge(coords, dims2coords(Dimensions.dims(data, (:draw, :chain))))
+    predictions = InferenceObjects.convert_to_dataset(
+        collect(eachcol(values)); group=:posterior_predictive, coords=coords, kwargs...
+    )
+    pred_keys = filter(∉(keys(data)), keys(predictions))
+    isempty(pred_keys) && return nothing
+    return predictions[pred_keys]
+end
+function StatsBase.predict(
+    model::DynamicPPL.Model, data::InferenceObjects.Dataset; kwargs...
+)
+    return StatsBase.predict(Random.default_rng(), model, data; kwargs...)
+end
+
+function StatsBase.predict(
+    rng::Random.AbstractRNG,
+    model::DynamicPPL.Model,
+    data::InferenceObjects.InferenceData;
+    coords=(;),
+    kwargs...,
+)
+    if haskey(data, :observed_data)
+        coords = merge(coords, dims2coords(Dimensions.dims(data.observed_data)))
+    end
+    new_groups = Dict{Symbol,InferenceObjects.Dataset}()
+    if haskey(data, :posterior)
+        posterior_predictive = StatsBase.predict(
+            rng, model, data.posterior; coords=coords, kwargs...
+        )
+        if posterior_predictive === nothing
+            @warn "No predictions were made based on posterior. Has the model been deconditioned?"
+        else
+            new_groups[:posterior_predictive] = posterior_predictive
+        end
+    end
+    if haskey(data, :prior)
+        prior_predictive = StatsBase.predict(
+            rng, model, data.prior; coords=coords, kwargs...
+        )
+        if prior_predictive === nothing
+            @warn "No predictions were made based on prior. Has the model been deconditioned?"
+        else
+            new_groups[:prior_predictive] = prior_predictive
+        end
+    end
+    if !(haskey(data, :posterior) || haskey(data, :prior))
+        @warn "No posterior or prior found in InferenceData. Returning unmodified input."
+        return data
+    end
+    return merge(data, InferenceObjects.InferenceData(; new_groups...))
+end
+function StatsBase.predict(
+    model::DynamicPPL.Model, data::InferenceObjects.InferenceData; kwargs...
+)
+    return StatsBase.predict(Random.default_rng(), model, data; kwargs...)
+end
diff --git a/ext/DynamicPPLInferenceObjectsExt/utils.jl b/ext/DynamicPPLInferenceObjectsExt/utils.jl
new file mode 100644
index 000000000..13f9b3db2
--- /dev/null
+++ b/ext/DynamicPPLInferenceObjectsExt/utils.jl
@@ -0,0 +1,21 @@
+# adapted from MCMCChains
+function isconcretetype_recursive(T)
+    return isconcretetype(T) && (eltype(T) === T || isconcretetype_recursive(eltype(T)))
+end
+
+concretize(x) = x
+function concretize(x::AbstractArray)
+    if isconcretetype_recursive(typeof(x))
+        return x
+    else
+        xnew = map(concretize, x)
+        T = mapreduce(typeof, promote_type, xnew; init=Union{})
+        if T <: eltype(xnew) && T !== Union{}
+            return convert(AbstractArray{T}, xnew)
+        else
+            return xnew
+        end
+    end
+end
+
+dims2coords(dims) = NamedTuple{Dimensions.dim2key(dims)}(Dimensions.lookup(dims))
diff --git a/ext/DynamicPPLInferenceObjectsExt/varinfo.jl b/ext/DynamicPPLInferenceObjectsExt/varinfo.jl
new file mode 100644
index 000000000..6d2331ce7
--- /dev/null
+++ b/ext/DynamicPPLInferenceObjectsExt/varinfo.jl
@@ -0,0 +1,14 @@
+function DynamicPPL.setval!(
+    vi::DynamicPPL.VarInfo, data::InferenceObjects.Dataset, draw_id::Int, chain_id::Int
+)
+    return DynamicPPL.setval!(vi, data[draw=draw_id, chain=chain_id])
+end
+
+function DynamicPPL.setval_and_resample!(
+    vi::DynamicPPL.VarInfoOrThreadSafeVarInfo,
+    data::InferenceObjects.Dataset,
+    draw_id::Int,
+    chain_id::Int,
+)
+    return DynamicPPL.setval_and_resample!(vi, data[draw=draw_id, chain=chain_id])
+end
diff --git a/src/DynamicPPL.jl b/src/DynamicPPL.jl
index 594084d66..74c9c06df 100644
--- a/src/DynamicPPL.jl
+++ b/src/DynamicPPL.jl
@@ -34,6 +34,8 @@ import Base:
     keys,
     haskey
 
+const EXTENSIONS_SUPPORTED = isdefined(Base, :get_extension)
+
 # VarInfo
 export AbstractVarInfo,
     VarInfo,
@@ -166,4 +168,8 @@ include("test_utils.jl")
 include("transforming.jl")
 include("logdensityfunction.jl")
 
+if !EXTENSIONS_SUPPORTED
+    include("../ext/DynamicPPLInferenceObjectsExt/DynamicPPLInferenceObjectsExt.jl")
+end
+
 end # module