API Documentation
Contents
Index
CompressedBeliefMDPs.CompressedBeliefMDP
CompressedBeliefMDPs.CompressedBeliefPolicy
CompressedBeliefMDPs.CompressedBeliefSolver
CompressedBeliefMDPs.Compressor
CompressedBeliefMDPs.Sampler
CompressedBeliefMDPs.compress_POMDP
CompressedBeliefMDPs.fit!
CompressedBeliefMDPs.make_cache
CompressedBeliefMDPs.make_numerical
Types/Functors
CompressedBeliefMDPs.Sampler
— TypeAbstract type for an object that defines how the belief should be sampled.
CompressedBeliefMDPs.Compressor
— TypeAbstract type for an object that defines how the belief should be compressed.
CompressedBeliefMDPs.CompressedBeliefMDP
— TypeCompressedBeliefMDP{B, A}
The CompressedBeliefMDP
struct is a generalization of the compressed belief-state MDP presented in Exponential Family PCA for Belief Compression in POMDPs.
Type Parameters
B
: The type of compressed belief states.A
: The type of actions.
Fields
bmdp::GenerativeBeliefMDP
: The generative belief-state MDP.compressor::Compressor
: The compressor used to compress belief states.ϕ::Bijection
: A bijection representing the mapping from uncompressed belief states to compressed belief states. See notes.
Constructors
CompressedBeliefMDP(pomdp::POMDP, updater::Updater, compressor::Compressor)
+API Documentation · CompressedBeliefMDPs API Documentation
Contents
Index
CompressedBeliefMDPs.CompressedBeliefMDP
CompressedBeliefMDPs.CompressedBeliefPolicy
CompressedBeliefMDPs.CompressedBeliefSolver
CompressedBeliefMDPs.Compressor
CompressedBeliefMDPs.Sampler
CompressedBeliefMDPs.compress_POMDP
CompressedBeliefMDPs.fit!
CompressedBeliefMDPs.make_cache
CompressedBeliefMDPs.make_numerical
Types/Functors
CompressedBeliefMDPs.Sampler
— TypeAbstract type for an object that defines how the belief should be sampled.
sourceCompressedBeliefMDPs.Compressor
— TypeAbstract type for an object that defines how the belief should be compressed.
sourceCompressedBeliefMDPs.CompressedBeliefMDP
— TypeCompressedBeliefMDP{B, A}
The CompressedBeliefMDP
struct is a generalization of the compressed belief-state MDP presented in Exponential Family PCA for Belief Compression in POMDPs.
Type Parameters
B
: The type of compressed belief states.A
: The type of actions.
Fields
bmdp::GenerativeBeliefMDP
: The generative belief-state MDP.compressor::Compressor
: The compressor used to compress belief states.ϕ::Bijection
: A bijection representing the mapping from uncompressed belief states to compressed belief states. See notes.
Constructors
CompressedBeliefMDP(pomdp::POMDP, updater::Updater, compressor::Compressor)
CompressedBeliefMDP(pomdp::POMDP, sampler::Sampler, updater::Updater, compressor::Compressor)
Constructs a CompressedBeliefMDP
using the specified POMDP, updater, and compressor.
Warning The 4-argument constructor is a quality-of-life constructor that calls fit!
on the given compressor.
Example Usage
pomdp = TigerPOMDP()
updater = DiscreteUpdater(pomdp)
compressor = PCACompressor(1)
-mdp = CompressedBeliefMDP(pomdp, updater, compressor)
For continuous POMDPs, see ParticleFilters.jl.
Notes
- While compressions aren't usually injective, we cache beliefs and their compressions on a first-come, first-served basis, so we can effectively use a bijection without loss of generality.
sourceCompressedBeliefMDPs.CompressedBeliefPolicy
— TypeCompressedBeliefPolicy
Maps a base policy for the compressed belief-state MDP to a policy for the true POMDP.
Fields
m::CompressedBeliefMDP
: The compressed belief-state MDP.base_policy::Policy
: The base policy used for decision-making in the compressed belief-state MDP.
Constructors
CompressedBeliefPolicy(m::CompressedBeliefMDP, base_policy::Policy)
Constructs a CompressedBeliefPolicy
using the specified compressed belief-state MDP and base policy.
Example Usage
policy = solve(solver, pomdp)
+mdp = CompressedBeliefMDP(pomdp, updater, compressor)
For continuous POMDPs, see ParticleFilters.jl.
Notes
- While compressions aren't usually injective, we cache beliefs and their compressions on a first-come, first-served basis, so we can effectively use a bijection without loss of generality.
sourceCompressedBeliefMDPs.CompressedBeliefPolicy
— TypeCompressedBeliefPolicy
Maps a base policy for the compressed belief-state MDP to a policy for the true POMDP.
Fields
m::CompressedBeliefMDP
: The compressed belief-state MDP.base_policy::Policy
: The base policy used for decision-making in the compressed belief-state MDP.
Constructors
CompressedBeliefPolicy(m::CompressedBeliefMDP, base_policy::Policy)
Constructs a CompressedBeliefPolicy
using the specified compressed belief-state MDP and base policy.
Example Usage
policy = solve(solver, pomdp)
s = initialstate(pomdp)
a = action(policy, s) # returns the approximately optimal action for state s
-v = value(policy, s) # returns the approximately optimal value for state s
sourceCompressedBeliefMDPs.CompressedBeliefSolver
— TypeCompressedBeliefSolver
The CompressedBeliefSolver
struct represents a solver for compressed belief-state MDPs. It combines a compressed belief-state MDP with a base solver to approximate the value function.
Fields
m::CompressedBeliefMDP
: The compressed belief-state MDP.base_solver::Solver
: The base solver used to solve the compressed belief-state MDP.
Constructors
CompressedBeliefSolver(pomdp::POMDP, base_solver::Solver; updater::Updater=DiscreteUpdater(pomdp), sampler::Sampler=BeliefExpansionSampler(pomdp), compressor::Compressor=PCACompressor(1))
+v = value(policy, s) # returns the approximately optimal value for state s
sourceCompressedBeliefMDPs.CompressedBeliefSolver
— TypeCompressedBeliefSolver
The CompressedBeliefSolver
struct represents a solver for compressed belief-state MDPs. It combines a compressed belief-state MDP with a base solver to approximate the value function.
Fields
m::CompressedBeliefMDP
: The compressed belief-state MDP.base_solver::Solver
: The base solver used to solve the compressed belief-state MDP.
Constructors
CompressedBeliefSolver(pomdp::POMDP, base_solver::Solver; updater::Updater=DiscreteUpdater(pomdp), sampler::Sampler=BeliefExpansionSampler(pomdp), compressor::Compressor=PCACompressor(1))
CompressedBeliefSolver(pomdp::POMDP; updater::Updater=DiscreteUpdater(pomdp), sampler::Sampler=BeliefExpansionSampler(pomdp), compressor::Compressor=PCACompressor(1), interp::Union{Nothing, LocalFunctionApproximator}=nothing, k::Int=1, verbose::Bool=false, max_iterations::Int=1000, n_generative_samples::Int=10, belres::Float64=1e-3)
Constructs a CompressedBeliefSolver
using the specified POMDP, base solver, updater, sampler, and compressor. Alternatively, you can omit the base solver in which case a LocalApproximationValueIterationSolver
(https://github.com/JuliaPOMDP/LocalApproximationValueIteration.jl) will be created instead. For example, different base solvers are needed if the POMDP state and action space are continuous.
Example Usage
julia> pomdp = TigerPOMDP();
julia> solver = CompressedBeliefSolver(pomdp; verbose=true, max_iterations=10);
julia> solve(solver, pomdp);
@@ -19,7 +19,7 @@
[Iteration 7 ] residual: 6.03 | iteration runtime: 0.495 ms, ( 0.639 s total)
[Iteration 8 ] residual: 5.73 | iteration runtime: 0.585 ms, ( 0.639 s total)
[Iteration 9 ] residual: 4.02 | iteration runtime: 0.463 ms, ( 0.64 s total)
-[Iteration 10 ] residual: 7.28 | iteration runtime: 0.576 ms, ( 0.64 s total)
sourceFunctions
CompressedBeliefMDPs.fit!
— Functionfit!(compressor::Compressor, beliefs)
Fit the compressor to beliefs.
sourceCompressedBeliefMDPs.make_cache
— Functionmake_cache(B, B̃)
Helper function that creates a cache that maps each unique belief from the set B
to its corresponding compressed representation in B̃
.
Arguments
B::Vector{<:Any}
: A vector of beliefs.B̃::Matrix{Float64}
: A matrix where each row corresponds to the compressed representation of the beliefs in B
.
Returns
Dict{<:Any, Vector{Float64}}
: A dictionary mapping each unique belief in B
to its corresponding compressed representation in B̃
.
Example Usage
B = [belief1, belief2, belief3]
+[Iteration 10 ] residual: 7.28 | iteration runtime: 0.576 ms, ( 0.64 s total)
sourceFunctions
CompressedBeliefMDPs.fit!
— Functionfit!(compressor::Compressor, beliefs)
Fit the compressor to beliefs.
sourceCompressedBeliefMDPs.make_cache
— Functionmake_cache(B, B̃)
Helper function that creates a cache that maps each unique belief from the set B
to its corresponding compressed representation in B̃
.
Arguments
B::Vector{<:Any}
: A vector of beliefs.B̃::Matrix{Float64}
: A matrix where each row corresponds to the compressed representation of the beliefs in B
.
Returns
Dict{<:Any, Vector{Float64}}
: A dictionary mapping each unique belief in B
to its corresponding compressed representation in B̃
.
Example Usage
B = [belief1, belief2, belief3]
B̃ = [compressed_belief1; compressed_belief2; compressed_belief3]
-ϕ = make_cache(B, B̃)
sourceCompressedBeliefMDPs.make_numerical
— Functionmake_numerical(B, pomdp)
Helper function that converts a set of beliefs B
into a numerical matrix representation suitable for processing by numerical algorithms/compressors.
Arguments
B::Vector{<:Any}
: A vector of beliefs.pomdp::POMDP
: The POMDP model associated with the beliefs.
Returns
Matrix{Float64}
: A matrix where each row corresponds to a numerical representation of a belief in B
.
Example Usage
B = [belief1, belief2, belief3]
-B_numerical = make_numerical(B, pomdp)
sourceCompressedBeliefMDPs.compress_POMDP
— Functioncompress_POMDP(pomdp, sampler, updater, compressor)
Creates a compressed belief-state MDP by sampling, compressing, and caching beliefs from the given POMDP.
Arguments
pomdp::POMDP
: The POMDP model to be compressed.sampler::Sampler
: A sampler to generate a set of beliefs from the POMDP.updater::Updater
: An updater to initialize beliefs from states.compressor::Compressor
: A compressor to reduce the dimensionality of the beliefs.
Returns
CompressedBeliefMDP
: The constructed compressed belief-state MDP.Matrix{Float64}
: A matrix where each row corresponds to the compressed representation of the sampled beliefs.
Example Usage
```julia pomdp = TigerPOMDP() sampler = BeliefExpansionSampler(pomdp) updater = DiscreteUpdater(pomdp) compressor = PCACompressor(2) m, B̃ = compress_POMDP(pomdp, sampler, updater, compressor)
sourceSettings
This document was generated with Documenter.jl version 1.3.0 on Thursday 18 July 2024. Using Julia version 1.10.4.
+ϕ = make_cache(B, B̃)
CompressedBeliefMDPs.make_numerical
— Functionmake_numerical(B, pomdp)
Helper function that converts a set of beliefs B
into a numerical matrix representation suitable for processing by numerical algorithms/compressors.
Arguments
B::Vector{<:Any}
: A vector of beliefs.pomdp::POMDP
: The POMDP model associated with the beliefs.
Returns
Matrix{Float64}
: A matrix where each row corresponds to a numerical representation of a belief inB
.
Example Usage
B = [belief1, belief2, belief3]
+B_numerical = make_numerical(B, pomdp)
CompressedBeliefMDPs.compress_POMDP
— Functioncompress_POMDP(pomdp, sampler, updater, compressor)
Creates a compressed belief-state MDP by sampling, compressing, and caching beliefs from the given POMDP.
Arguments
pomdp::POMDP
: The POMDP model to be compressed.sampler::Sampler
: A sampler to generate a set of beliefs from the POMDP.updater::Updater
: An updater to initialize beliefs from states.compressor::Compressor
: A compressor to reduce the dimensionality of the beliefs.
Returns
CompressedBeliefMDP
: The constructed compressed belief-state MDP.Matrix{Float64}
: A matrix where each row corresponds to the compressed representation of the sampled beliefs.
Example Usage
```julia pomdp = TigerPOMDP() sampler = BeliefExpansionSampler(pomdp) updater = DiscreteUpdater(pomdp) compressor = PCACompressor(2) m, B̃ = compress_POMDP(pomdp, sampler, updater, compressor)