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a/benchmarks/PSOGlobalOptimization/Project.toml b/benchmarks/PSOGlobalOptimization/Project.toml new file mode 100644 index 000000000..da39cb8ee --- /dev/null +++ b/benchmarks/PSOGlobalOptimization/Project.toml @@ -0,0 +1,39 @@ +[compat] +BlackBoxOptimizationBenchmarking = "2" +CUDA = "5.11" +CairoMakie = "0.12, 0.13, 0.14, 0.15" +ForwardDiff = "0.10, 1" +GPUCompiler = "1.17" +Memoize = "0.4" +Optimization = "5" +OptimizationBBO = "0.4" +OptimizationEvolutionary = "0.4" +OptimizationMetaheuristics = "0.3" +OptimizationNLopt = "0.3" +OptimizationOptimJL = "0.4" +OptimizationSciPy = "0.4.1" +SciMLBenchmarks = "0.1" + +[deps] +BlackBoxOptimizationBenchmarking = "4552ee2b-11da-5aef-8e78-0d48532001f1" +CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba" +CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" +ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210" +KernelAbstractions = "63c18a36-062a-441e-b654-da1e3ab1ce7c" +Memoize = "c03570c3-d221-55d1-a50c-7939bbd78826" +Optimization = "7f7a1694-90dd-40f0-9382-eb1efda571ba" +OptimizationBBO = "3e6eede4-6085-4f62-9a71-46d9bc1eb92b" +OptimizationEvolutionary = "cb963754-43f6-435e-8d4b-99009ff27753" +OptimizationMetaheuristics = "3aafef2f-86ae-4776-b337-85a36adf0b55" +OptimizationNLopt = "4e6fcdb7-1186-4e1f-a706-475e75c168bb" +OptimizationOptimJL = "36348300-93cb-4f02-beb5-3c3902f8871e" +OptimizationSciPy = "cce07bd8-c79b-4b00-aee8-8db9cce22837" +ParallelParticleSwarms = "ab63da0c-63b4-40fa-a3b7-d2cba5be6419" +Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" +SciMLBenchmarks = "31c91b34-3c75-11e9-0341-95557aab0344" +StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" +Weave = "44d3d7a6-8a23-5bf8-98c5-b353f8df5ec9" + +[extras] +CUDA_Runtime_jll = "76a88914-d11a-5bdc-97e0-2f5a05c973a2" +GPUCompiler = "61eb1bfa-7361-4325-ad38-22787b887f55" \ No newline at end of file diff --git a/benchmarks/PSOGlobalOptimization/benchmark_config.toml b/benchmarks/PSOGlobalOptimization/benchmark_config.toml new file mode 100644 index 000000000..8b77c11eb --- /dev/null +++ b/benchmarks/PSOGlobalOptimization/benchmark_config.toml @@ -0,0 +1,3 @@ +# PSO benchmarks use ParallelParticleSwarms GPU kernels. +runner = ["self-hosted", "gpu", "exclusive"] +timeout = 12000 diff --git a/benchmarks/PSOGlobalOptimization/pso_global_optimizers.jmd b/benchmarks/PSOGlobalOptimization/pso_global_optimizers.jmd new file mode 100644 index 000000000..a4310af4b --- /dev/null +++ b/benchmarks/PSOGlobalOptimization/pso_global_optimizers.jmd @@ -0,0 +1,383 @@ +--- +title: PSO Global Optimizer Benchmarks +author: Utkarsh, Chris Rackauckas +--- + +This benchmark evaluates Particle Swarm Optimization (PSO) variants from +[ParallelParticleSwarms.jl](https://github.com/SciML/ParallelParticleSwarms.jl) against +established global optimizers on the +[BlackBoxOptimizationBenchmarking.jl](https://github.com/jonathanBieler/BlackBoxOptimizationBenchmarking.jl) +suite (v2 API), using the [Optimization.jl](https://github.com/SciML/Optimization.jl) interface. + +## Setup + +```julia +using Random +Random.seed!(42) + +using BlackBoxOptimizationBenchmarking, Plots, Optimization, Memoize, Statistics +import BlackBoxOptimizationBenchmarking: Chain, BenchmarkSetup, BenchmarkResults, + BBOBFunction, FunctionCallsCounter, solve_problem, pinit, compute_CI +const BBOB = BlackBoxOptimizationBenchmarking + +ENV["GKSwstype"] = "nul" +gr() + +using OptimizationBBO, OptimizationOptimJL, OptimizationEvolutionary, OptimizationNLopt +using OptimizationMetaheuristics, OptimizationSciPy + +using ParallelParticleSwarms +using ForwardDiff +using KernelAbstractions +using CUDA +using StaticArrays, LinearAlgebra + +const PSOKernel = ParallelParticleSwarms.ParallelPSOKernel +const SyncPSOKernel = ParallelParticleSwarms.ParallelSyncPSOKernel +const SerPSO = ParallelParticleSwarms.SerialPSO +const HPso = ParallelParticleSwarms.HybridPSO + +const BACKEND = CUDABackend() +``` + +```julia +const MARKERS = [:circle, :diamond, :utriangle, :square, :star5, :dtriangle, :pentagon, + :hexagon, :cross, :xcross, :rtriangle, :ltriangle, :star4, :star8, :heptagon, :octagon, + :vline, :hline, :+, :x] +const LINESTYLES = [:solid, :dash, :dot, :dashdot, :dashdotdot] + +function solve_problem_baseline(optimizer::Union{Chain, BenchmarkSetup}, f, D::Int, + run_length::Int) + solve_problem(optimizer, f, D, run_length) +end + +function benchmark_time_to_success( + optimizer::Union{Chain, BenchmarkSetup}, funcs::Vector{<:BBOBFunction}; + Ntrials::Int = 15, dimension::Int = 3, Δf::Real = 1e-6, max_run_length::Int = 100_000 +) + all_times = Float64[] + for f in funcs + for _ in 1:Ntrials + t0 = time() + sol = solve_problem_baseline(optimizer, f, dimension, max_run_length) + elapsed = time() - t0 + push!(all_times, sol.objective < Δf + f.f_opt ? elapsed : Inf) + end + end + return all_times +end + +benchmark_time_to_success(optimizer, funcs::Vector{<:BBOBFunction}; kwargs...) = + benchmark_time_to_success(BenchmarkSetup(optimizer), funcs; kwargs...) + +function success_rate_cdf(all_times::Vector{Float64}, time_thresholds::AbstractVector{Float64}) + N = length(all_times) + return [count(x -> x <= t, all_times) / N for t in time_thresholds] +end +``` + +```julia +_to_f64(x::Real) = Float64(x) +_to_f64(x::ForwardDiff.Dual) = Float64(ForwardDiff.value(x)) +_to_f64(x) = Float64(x[]) + +_value(x::Real) = x +_value(x::ForwardDiff.Dual) = ForwardDiff.value(x) +_penalty(x) = eltype(x) <: ForwardDiff.Dual ? zero(first(x)) + 1.0f10 : 1.0f10 + +function pso_objective(f::BBOBFunction, x) + any(xi -> !isfinite(_value(xi)) || abs(_value(xi)) > 15, x) && return _penalty(x) + y = f(x) + y isa ForwardDiff.Dual ? y : Float32(y) +end + +function _pso_problem(f::BBOBFunction, D::Int; x0 = nothing) + optf = OptimizationFunction{false}((x, p) -> pso_objective(f, x), Optimization.SciMLBase.NoAD()) + lb = SVector{D, Float32}(ntuple(_ -> -5.0f0, Val(D))) + ub = SVector{D, Float32}(ntuple(_ -> 5.0f0, Val(D))) + x0 = x0 === nothing ? + SVector{D, Float32}(ntuple(_ -> -5.0f0 + rand(Float32) * 10.0f0, Val(D))) : + SVector{D, Float32}(x0) + OptimizationProblem{false}(optf, x0, nothing; lb, ub) +end + +function pso_solve(opt, f::BBOBFunction, D::Int, maxiters::Int; + local_maxiters::Int = 50, x0 = nothing) + prob = _pso_problem(f, D; x0) + if opt isa HPso + solve(prob, opt; maxiters, local_maxiters, abstol = 1.0f-8, reltol = 1.0f-8) + else + solve(prob, opt; maxiters) + end +end + +function _extract_u(sol, D) + u = sol.u + u isa SVector && return u + u isa AbstractVector && return SVector{D}(u) + u[] +end + +function pso_benchmark(opt, funcs, run_length; + Ntrials = 15, dimension = 3, local_maxiters = 50, Δf = 1e-6, CI_quantile = 0.25, + n_particles = 1) + Nf = length(funcs); Nr = length(run_length) + success = zeros(Float64, Nf, Nr) + dist = zeros(Float64, Nf, Nr) + fmin = zeros(Float64, Nf, Nr) + t0 = time() + for (fi, f) in enumerate(funcs) + xopt = SVector{dimension, Float32}(f.x_opt[1:dimension]) + for (ri, rl) in enumerate(run_length) + hits = 0; dsum = 0.0; fsum = 0.0 + for _ in 1:Ntrials + sol = pso_solve(opt, f, dimension, rl; local_maxiters) + u = _extract_u(sol, dimension) + fval = _to_f64(sol.objective) + hits += abs(fval - f.f_opt) < Δf ? 1 : 0 + dsum += Float64(norm(u .- xopt)) + fsum += fval - f.f_opt + end + success[fi, ri] = hits / Ntrials + dist[fi, ri] = dsum / Ntrials + fmin[fi, ri] = fsum / Ntrials + end + end + elapsed = time() - t0 + Neff = Ntrials * Nf + sr = vec(mean(success, dims = 1)) + sc = vec(sum(success .* Ntrials, dims = 1)) .|> round .|> Int + ci = BBOB.compute_CI(sr, Neff, CI_quantile) + BenchmarkResults( + run_length = collect(run_length), + success_count = sc, + success_rate = sr, + success_rate_qlow = ci.success_rate_qlow, + success_rate_qhigh = ci.success_rate_qhigh, + distance_to_minimizer = vec(mean(dist, dims = 1)), + minimum = vec(mean(fmin, dims = 1)), + runtime = elapsed, + Neffective = Neff, + callcount = Float64.(run_length) .* n_particles, + success_rate_per_function = [success[fi, end] for fi in 1:Nf], + ) +end + +function pso_tts(opt, funcs; Ntrials = 15, dimension = 3, Δf = 1e-6, + local_maxiters = 50, max_run_length = 100_000) + all_times = Float64[] + D = dimension + for f in funcs + for _ in 1:Ntrials + x0 = SVector{D, Float32}(ntuple(_ -> -5.0f0 + rand(Float32) * 10.0f0, Val(D))) + prob = _pso_problem(f, D; x0) + t0 = time() + sol = if opt isa HPso + solve(prob, opt; maxiters = max_run_length, + local_maxiters, abstol = 1.0f-8, reltol = 1.0f-8) + else + solve(prob, opt; maxiters = max_run_length) + end + elapsed = time() - t0 + fval = _to_f64(sol.objective) + push!(all_times, abs(fval - f.f_opt) < Δf ? elapsed : Inf) + end + end + all_times +end +``` + +```julia +chain = (t; isboxed = false) -> Chain( + BenchmarkSetup(t, isboxed = isboxed), + BenchmarkSetup(NelderMead(), isboxed = false), + 0.9) + +dimension = 3 +test_functions = filter(f -> nameof(f.f) !== :f7, BBOB.bbob_suite(Val(dimension))) +run_length = round.(Int, 10 .^ LinRange(1, 4, 15)) +Ntrials = 15 +num_particles = 5_000 + +const SUCCESS_Δf = 1e-6 + +PSO_KEYS = Set(["SerialPSO", "PSOKernel", "SyncPSOKernel", "HybridPSO_LBFGS"]) + +setup = Dict( + "NelderMead" => NelderMead(), + "NLopt.GN_CRS2_LM()" => chain(NLopt.GN_CRS2_LM(), isboxed = true), + "NLopt.GN_DIRECT()" => chain(NLopt.GN_DIRECT(), isboxed = true), + "NLopt.GN_ESCH()" => chain(NLopt.GN_ESCH(), isboxed = true), + "OptimizationEvolutionary.GA()" => chain(OptimizationEvolutionary.GA(), isboxed = true), + "OptimizationEvolutionary.DE()" => chain(OptimizationEvolutionary.DE(), isboxed = true), + "OptimizationEvolutionary.ES()" => chain(OptimizationEvolutionary.ES(), isboxed = true), + "Optim.SAMIN" => chain(SAMIN(verbosity = 0), isboxed = true), + "BBO_adaptive_de_rand_1_bin" => chain(BBO_adaptive_de_rand_1_bin(), isboxed = true), + "BBO_de_rand_2_bin" => chain(BBO_de_rand_2_bin(), isboxed = true), + "OptimizationMetaheuristics.ECA" => chain(OptimizationMetaheuristics.ECA(), isboxed = true), + "OptimizationMetaheuristics.DE" => chain(OptimizationMetaheuristics.DE(), isboxed = true), + "ScipyDifferentialEvolution" => chain(ScipyDifferentialEvolution(), isboxed = true), + "SerialPSO" => SerPSO(512), + "PSOKernel" => PSOKernel(num_particles; backend = BACKEND, global_update = true), + "SyncPSOKernel" => SyncPSOKernel(num_particles; backend = BACKEND), + "HybridPSO_LBFGS" => HPso(pso = SyncPSOKernel(num_particles; backend = BACKEND); backend = BACKEND), +) + +@memoize run_bench(algo) = algo in PSO_KEYS ? + pso_benchmark(setup[algo], test_functions, run_length; + Ntrials, dimension, Δf = SUCCESS_Δf, n_particles = num_particles) : + BBOB.benchmark(setup[algo], test_functions, run_length; + Ntrials, Δf = SUCCESS_Δf) + +@memoize run_tts(algo) = algo in PSO_KEYS ? + pso_tts(setup[algo], test_functions; + Ntrials, dimension, Δf = SUCCESS_Δf, max_run_length = 10_000) : + benchmark_time_to_success(setup[algo], test_functions; + Ntrials, dimension, Δf = SUCCESS_Δf, max_run_length = 10_000) +``` + +## Test all (iterations) + +```julia +labels = collect(keys(setup)) +results = Array{BBOB.BenchmarkResults}(undef, length(setup)) + +for (i, algo) in enumerate(labels) + algo in PSO_KEYS || continue + results[i] = run_bench(algo) + @info "PSO success rate" algo success_rate = round(results[i].success_rate[end], digits = 3) +end + +for (i, algo) in enumerate(labels) + algo in PSO_KEYS && continue + results[i] = run_bench(algo) +end + +results +``` + +## Success Rate vs. Function Evaluations + +```julia +labels = collect(keys(setup)) +idx = sortperm([b.success_rate[end] for b in results], rev = true) + +p = plot(xscale = :log10, legend = :outerright, + size = (1000, 400), margin = 10Plots.px, dpi = 200, + xlabel = "Function evaluations", ylabel = "Success rate", + xlim = (1, 1e7), ylim = (0, 1)) +for (j, i) in enumerate(idx) + plot!(results[i].callcount, results[i].success_rate; label = labels[i], lw = 2.5, + markershape = MARKERS[mod1(j, length(MARKERS))], + linestyle = LINESTYLES[mod1(j, length(LINESTYLES))], + markersize = 4, markerstrokewidth = 0) +end +p +``` + +## Success Rate vs. Iterations + +```julia +labels = collect(keys(setup)) +idx = sortperm([b.success_rate[end] for b in results], rev = true) + +p = plot(xscale = :log10, legend = :outerright, + size = (1000, 400), margin = 10Plots.px, dpi = 200, + xlabel = "Iterations", ylabel = "Success rate", + xlim = (1, 1e5), ylim = (0, 1)) +for (j, i) in enumerate(idx) + plot!(results[i].run_length, results[i].success_rate; label = labels[i], lw = 2.5, + markershape = MARKERS[mod1(j, length(MARKERS))], + linestyle = LINESTYLES[mod1(j, length(LINESTYLES))], + markersize = 4, markerstrokewidth = 0) +end +p +``` + +## Test all (wall-clock time to success) + +```julia +tts_results = Dict{String, Vector{Float64}}() + +for algo in labels + algo in PSO_KEYS || continue + tts_results[algo] = run_tts(algo) +end + +for algo in labels + algo in PSO_KEYS && continue + tts_results[algo] = run_tts(algo) +end +``` + +## Success Rate vs. Wall-Clock Time + +```julia +labels = collect(keys(setup)) + +all_finite = filter(isfinite, vcat(values(tts_results)...)) +t_lo = minimum(all_finite) / 2 +t_hi = maximum(all_finite) * 2 +time_thresholds = 10 .^ range(log10(t_lo), log10(t_hi), length = 50) + +cdfs = Dict(algo => success_rate_cdf(tts_results[algo], time_thresholds) for algo in labels) +idx = sortperm([cdfs[l][end] for l in labels], rev = true) + +p = plot(xscale = :log10, legend = :outerright, + size = (1000, 400), margin = 10Plots.px, dpi = 200, + xlabel = "Wall time (s)", ylabel = "Success rate", ylim = (0, 1)) +for (j, i) in enumerate(idx) + plot!(time_thresholds, cdfs[labels[i]]; label = labels[i], lw = 2.5, + markershape = MARKERS[mod1(j, length(MARKERS))], + linestyle = LINESTYLES[mod1(j, length(LINESTYLES))], + markersize = 4, markerstrokewidth = 0) +end +p +``` + +## Success Rate per Function Heatmap + +```julia +success_rate_per_function = reduce(hcat, b.success_rate_per_function for b in results) + +idx = sortperm(mean(success_rate_per_function, dims = 1)[:], rev = false) +idxfunc = 1:length(test_functions) + +heatmap( + string.(test_functions)[idxfunc], labels[idx], success_rate_per_function[idxfunc, idx]', + colormap = :RdYlGn, clims = (0, 1), + xticks = :all, yticks = :all, xrotation = 45, + size = (1100, 550), dpi = 200, colorbar_title = "Success rate") +``` + +## Distance to Minimizer vs. Iterations + +```julia +labels = collect(keys(setup)) +idx = sortperm([b.distance_to_minimizer[end] for b in results], rev = false) + +p = plot(xscale = :log10, legend = :outerright, + size = (1000, 500), margin = 10Plots.px, dpi = 200, + xlabel = "Iterations", ylabel = "Mean distance to minimum", + xlim = (1, 1e5), ylim = (0, 5)) +for (j, i) in enumerate(idx) + plot!(results[i].run_length, results[i].distance_to_minimizer; label = labels[i], lw = 2, + markershape = MARKERS[mod1(j, length(MARKERS))], + linestyle = LINESTYLES[mod1(j, length(LINESTYLES))], + markersize = 4, markerstrokewidth = 0) +end +p +``` + +## Relative Runtime + +```julia +labels = collect(keys(setup)) +ref = findfirst("NelderMead" .== labels) +runtimes = getfield.(results, :runtime) +runtimes = runtimes ./ runtimes[ref] + +bar(labels, runtimes, xrotation = 45, xticks = :all, + ylabel = "Run time relative to NM", yscale = :log10, + legend = false, size = (1000, 500), margin = 25Plots.px, dpi = 200) +``` \ No newline at end of file