Minor edits. Tests added. | STUD-7
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package space.kscience.kmath.samplers
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package space.kscience.kmath.samplers
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import space.kscience.kmath.chains.BlockingDoubleChain
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import space.kscience.kmath.chains.BlockingDoubleChain
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import space.kscience.kmath.distributions.Distribution1D
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import space.kscience.kmath.distributions.NormalDistribution
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import space.kscience.kmath.distributions.NormalDistribution
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import space.kscience.kmath.random.RandomGenerator
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import space.kscience.kmath.random.RandomGenerator
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import space.kscience.kmath.structures.Float64Buffer
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import space.kscience.kmath.structures.Float64Buffer
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import kotlin.math.*
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/**
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/**
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* [Metropolis–Hastings algorithm](https://en.wikipedia.org/wiki/Metropolis%E2%80%93Hastings_algorithm) for sampling
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* [Metropolis–Hastings algorithm](https://en.wikipedia.org/wiki/Metropolis%E2%80%93Hastings_algorithm) for sampling
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* target distribution [distribution].
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* target distribution [targetDist].
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*
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*
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* params:
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* - targetDist: function close to the density of the sampled distribution;
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* - initialState: initial value of the chain of sampled values.
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*/
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*/
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public class MetropolisHastingsSampler(
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public class MetropolisHastingsSampler(
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public val distribution: (x : Double) -> Double,
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public val targetDist: (arg : Double) -> Double,
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public val initState : Double = 0.0,
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public val initialState : Double = 0.0,
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) : BlockingDoubleSampler {
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) : BlockingDoubleSampler {
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override fun sample(generator: RandomGenerator): BlockingDoubleChain = object : BlockingDoubleChain {
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override fun sample(generator: RandomGenerator): BlockingDoubleChain = object : BlockingDoubleChain {
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var currState = initState
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var currentState = initialState
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fun proposalDist(arg : Double) = NormalDistribution(arg, 0.01)
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override fun nextBufferBlocking(size: Int): Float64Buffer {
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override fun nextBufferBlocking(size: Int): Float64Buffer {
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val u = generator.nextDoubleBuffer(size)
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val acceptanceProb = generator.nextDoubleBuffer(size)
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return Float64Buffer(size) {index ->
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return Float64Buffer(size) {index ->
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val proposalDist = NormalDistribution(currState, 0.01)
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val newState = proposalDist(currentState).sample(RandomGenerator.default(0)).nextBufferBlocking(5).get(4)
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val newState = proposalDist.sample(RandomGenerator.default(1)).nextBufferBlocking(1).get(0)
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val firstComp = targetDist(newState) / targetDist(currentState)
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val acceptanceRatio = distribution(newState) / distribution(currState)
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val secondComp = proposalDist(newState).probability(currentState) / proposalDist(currentState).probability(newState)
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if (u[index] <= acceptanceRatio) {
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val acceptanceRatio = min(1.0, firstComp * secondComp)
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currState = newState
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}
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currentState = if (acceptanceProb[index] <= acceptanceRatio) newState else currentState
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currState
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currentState
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}
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}
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}
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}
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@ -0,0 +1,26 @@
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/*
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* Copyright 2018-2024 KMath contributors.
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* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
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*/
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package space.kscience.kmath.samplers
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import space.kscience.kmath.distributions.NormalDistribution
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import space.kscience.kmath.operations.Float64Field
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import space.kscience.kmath.random.DefaultGenerator
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import space.kscience.kmath.stat.invoke
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import space.kscience.kmath.stat.mean
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import kotlin.test.Test
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import kotlin.test.assertEquals
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class TestMetropolisHastingsSampler {
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@Test
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fun samplingNormalTest1() {
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fun myDist(arg : Double) = NormalDistribution(0.0, 1.0).probability(arg)
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val sampler = MetropolisHastingsSampler(::myDist)
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val sampledValues = sampler.sample(DefaultGenerator()).nextBufferBlocking(10)
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assertEquals(0.05, Float64Field.mean(sampledValues), 0.01)
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}
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}
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