├── .gitignore ├── AUTHORS.txt ├── DoubleWell └── figures │ ├── 1d_f.png │ ├── 2d_f.png │ ├── Figure_1.m │ ├── Figure_2.m │ ├── Figure_3.m │ ├── Figure_3.png │ ├── no_rotation.png │ ├── rotation.png │ ├── scheqleapfrog2.m │ ├── semiclassical_gap.png │ └── semiclassical_state.png ├── LICENSE.md ├── NonCVX-2d ├── README.md ├── experiments │ ├── QAA.m │ ├── QHD │ │ ├── 2d-pseudospec.cpp │ │ ├── Makefile │ │ ├── README.md │ │ ├── potentials128.mat │ │ ├── potentials256.mat │ │ ├── savePotentials.m │ │ ├── to_npy.cpp │ │ └── to_npy.hpp │ └── classical_methods.m ├── integrators │ └── scheqleapfrog │ │ ├── cc │ │ ├── Makefile │ │ ├── analyzeresult.py │ │ ├── buildproblem.py │ │ └── src │ │ │ ├── main.cc │ │ │ ├── scheqleapfrog.cc │ │ │ ├── scheqleapfrog.h │ │ │ ├── scheqleapfrogio.cc │ │ │ └── scheqleapfrogio.h │ │ └── matlab │ │ ├── convergenceHamiltonianLeapfrog.m │ │ ├── convergenceSchEqLeapfrog.m │ │ ├── scheqleapfrog.m │ │ └── scheqleapfrog2.m └── util │ ├── @Experiment2D │ ├── Experiment2D.m │ ├── classicalLeapfrog.m │ ├── fdmleapfrog.m │ └── pseudospec.m │ ├── ExpTimeDep.m │ ├── PolyTimeDep.m │ ├── TimeDependence.m │ ├── checkConvergence.m │ ├── dropwavefun.m │ ├── experimentSetup.m │ ├── filterMaxima.m │ ├── filterMinima.m │ ├── hammingwithspike.m │ ├── hypercube.m │ ├── laplacian1d.m │ ├── laplacian2d.m │ ├── positionDependentExpectation.m │ └── qnnfun.m ├── QP ├── README.md ├── dwclassical │ ├── Makefile │ └── src │ │ └── main.cc ├── experiments │ ├── classical │ │ ├── doMATLAB.m │ │ ├── doSNOPT.m │ │ ├── doTNC.py │ │ ├── qcqp │ │ │ ├── README.md │ │ │ ├── qcqp_improve.py │ │ │ └── qcqp_suggest.py │ │ ├── save_instances_as_mat.py │ │ ├── save_matlab_from_mat.py │ │ ├── save_snopt_from_mat.py │ │ └── snopt-QP │ │ │ ├── QPuserfun.m │ │ │ └── solve_QP.m │ └── quantum │ │ ├── 09-1273A-A_Advantage_system6_1_annealing_schedule.xlsx │ │ ├── amazon_braket_QAA_QHD.ipynb │ │ ├── qaa_post_processing.py │ │ ├── qhd_post_processing.py │ │ └── simulate_dwave.py ├── generate_benchmark.py ├── generate_benchmark_utils.py └── run_gurobi_benchmark.py ├── README.md ├── config.py ├── docs ├── README.md ├── _authors │ ├── ethan.md │ ├── jiaqi.md │ ├── joseph.md │ └── xiaodi.md ├── _config.yml ├── _data │ └── navigation.yml ├── _functions2d │ ├── ackley.md │ ├── ackley2.md │ ├── alpine1.md │ ├── alpine2.md │ ├── bohachevsky2.md │ ├── camel3.md │ ├── csendes.md │ ├── defl_corr_spring.md │ ├── dropwave.md │ ├── easom.md │ ├── griewank.md │ ├── holder.md │ ├── hosaki.md │ ├── levy.md │ ├── levy13.md │ ├── michalewicz.md │ ├── rastrigin.md │ ├── rosenbrock.md │ ├── shubert.md │ ├── styblinski_tang.ipynb │ ├── styblinski_tang.md │ ├── sumofsquares.md │ └── xinsheyang3.md ├── _includes │ ├── analytics.html │ ├── carousel.html │ ├── filtercarousel.html │ ├── fnviewer2d.html │ ├── footer.html │ ├── navigation.html │ └── viewer2d.html ├── _layouts │ ├── author.html │ ├── default.html │ ├── function2d.html │ ├── nonconvex2d.html │ ├── paper.html │ ├── post.html │ └── qp.html ├── _posts │ ├── 2022-4-12-Comparisons.md │ └── 2022-4-6-Metrics.md ├── _sass │ └── main.scss ├── about.md ├── assets │ ├── css │ │ └── styles.scss │ ├── images │ │ ├── Amazon_Web_Services_Logo.svg │ │ ├── NSF_Official_logo.svg │ │ ├── QPComparison.png │ │ ├── QuICS-logo-primary.png │ │ ├── Seal_of_the_United_States_Department_of_Energy.svg │ │ ├── UMD-logo-primary.jpg │ │ ├── figure1_small.png │ │ ├── figure2_small.png │ │ ├── figure3_small.png │ │ ├── imgmeta.txt │ │ ├── ncvxAOV.png │ │ ├── ncvxSP_old.png │ │ ├── ncvxSPfig.png │ │ ├── ncvxSPtab.png │ │ ├── ncvxSPtabT10.png │ │ ├── ncvxSPtabT10_flat.png │ │ ├── scatterplots │ │ │ ├── ackley2_scatter.png │ │ │ ├── ackley_scatter.png │ │ │ ├── alpine1_scatter.png │ │ │ ├── alpine2_scatter.png │ │ │ ├── bohachevsky2_scatter.png │ │ │ ├── camel3_scatter.png │ │ │ ├── csendes_scatter.png │ │ │ ├── defl_corr_spring_scatter.png │ │ │ ├── dropwave_scatter.png │ │ │ ├── easom_scatter.png │ │ │ ├── griewank_scatter.png │ │ │ ├── holder_scatter.png │ │ │ ├── hosaki_scatter.png │ │ │ ├── levy13_scatter.png │ │ │ ├── levy_scatter.png │ │ │ ├── michalewicz_scatter.png │ │ │ ├── rastrigin_scatter.png │ │ │ ├── rosenbrock_scatter.png │ │ │ ├── shubert_scatter.png │ │ │ ├── styblinski_tang_scatter.png │ │ │ ├── sumofsquares_scatter.png │ │ │ └── xinsheyang3_scatter.png │ │ ├── threephaseplots │ │ │ ├── ackley2_three_phase.png │ │ │ ├── ackley_three_phase.png │ │ │ ├── alpine1_three_phase.png │ │ │ ├── alpine2_three_phase.png │ │ │ ├── bohachevsky2_three_phase.png │ │ │ ├── camel3_three_phase.png │ │ │ ├── csendes_three_phase.png │ │ │ ├── defl_corr_spring_three_phase.png │ │ │ ├── dropwave_three_phase.png │ │ │ ├── easom_three_phase.png │ │ │ ├── griewank_three_phase.png │ │ │ ├── holder_three_phase.png │ │ │ ├── hosaki_three_phase.png │ │ │ ├── levy13_three_phase.png │ │ │ ├── levy_three_phase.png │ │ │ ├── michalewicz_three_phase.png │ │ │ ├── rastrigin_three_phase.png │ │ │ ├── rosenbrock_three_phase.png │ │ │ ├── shubert_three_phase.png │ │ │ ├── styblinski_tang_three_phase.png │ │ │ ├── sumofsquares_three_phase.png │ │ │ └── xinsheyang3_three_phase.png │ │ └── thumbnails │ │ │ ├── ackley2_thumb.png │ │ │ ├── ackley_thumb.png │ │ │ ├── alpine1_thumb.png │ │ │ ├── alpine2_thumb.png │ │ │ ├── bird_thumb.png │ │ │ ├── bohachevsky2_thumb.png │ │ │ ├── branin2_thumb.png │ │ │ ├── camel3_thumb.png │ │ │ ├── csendes_thumb.png │ │ │ ├── defl_corr_spring_thumb.png │ │ │ ├── dropwave_thumb.png │ │ │ ├── easom_thumb.png │ │ │ ├── eggholder_thumb.png │ │ │ ├── griewank_thumb.png │ │ │ ├── holder_thumb.png │ │ │ ├── hosaki_thumb.png │ │ │ ├── levy13_thumb.png │ │ │ ├── levy_thumb.png │ │ │ ├── mccormick_thumb.png │ │ │ ├── michalewicz_thumb.png │ │ │ ├── rastrigin_thumb.png │ │ │ ├── ripple1_thumb.png │ │ │ ├── rosenbrock_thumb.png │ │ │ ├── schaffer2_thumb.png │ │ │ ├── shubert_thumb.png │ │ │ ├── styblinski_tang_thumb.png │ │ │ ├── sumofsquares_thumb.png │ │ │ ├── thumb.png │ │ │ └── xinsheyang3_thumb.png │ └── plotdata │ │ ├── ackley-fn.csv │ │ ├── ackley-fnmeta.csv │ │ ├── ackley-meta.csv │ │ ├── ackley.csv │ │ ├── ackley2-fn.csv │ │ ├── ackley2-fnmeta.csv │ │ ├── ackley2-meta.csv │ │ ├── ackley2.csv │ │ ├── alpine1-fn.csv │ │ ├── alpine1-fnmeta.csv │ │ ├── alpine1-meta.csv │ │ ├── alpine1.csv │ │ ├── alpine2-fn.csv │ │ ├── alpine2-fnmeta.csv │ │ ├── alpine2-meta.csv │ │ ├── alpine2.csv │ │ ├── bird-meta.csv │ │ ├── bird.csv │ │ ├── bohachevsky2-fn.csv │ │ ├── bohachevsky2-fnmeta.csv │ │ ├── bohachevsky2-meta.csv │ │ ├── bohachevsky2.csv │ │ ├── camel3-fn.csv │ │ ├── camel3-fnmeta.csv │ │ ├── camel3-meta.csv │ │ ├── camel3.csv │ │ ├── csendes-fn.csv │ │ ├── csendes-fnmeta.csv │ │ ├── csendes-meta.csv │ │ ├── csendes.csv │ │ ├── defl_corr_spring-fn.csv │ │ ├── defl_corr_spring-fnmeta.csv │ │ ├── defl_corr_spring-meta.csv │ │ ├── defl_corr_spring.csv │ │ ├── dropwave-fn.csv │ │ ├── dropwave-fnmeta.csv │ │ ├── dropwave-meta.csv │ │ ├── dropwave.csv │ │ ├── easom-fn.csv │ │ ├── easom-fnmeta.csv │ │ ├── easom-meta.csv │ │ ├── easom.csv │ │ ├── griewank-fn.csv │ │ ├── griewank-fnmeta.csv │ │ ├── griewank-meta.csv │ │ ├── griewank.csv │ │ ├── holder-fn.csv │ │ ├── holder-fnmeta.csv │ │ ├── holder-meta.csv │ │ ├── holder.csv │ │ ├── hosaki-fn.csv │ │ ├── hosaki-fnmeta.csv │ │ ├── hosaki-meta.csv │ │ ├── hosaki.csv │ │ ├── levy-fn.csv │ │ ├── levy-fnmeta.csv │ │ ├── levy-meta.csv │ │ ├── levy.csv │ │ ├── levy13-fn.csv │ │ ├── levy13-fnmeta.csv │ │ ├── levy13-meta.csv │ │ ├── levy13.csv │ │ ├── michalewicz-fn.csv │ │ ├── michalewicz-fnmeta.csv │ │ ├── michalewicz-meta.csv │ │ ├── michalewicz.csv │ │ ├── rastrigin-fn.csv │ │ ├── rastrigin-fnmeta.csv │ │ ├── rastrigin-meta.csv │ │ ├── rastrigin.csv │ │ ├── rosenbrock-fn.csv │ │ ├── rosenbrock-fnmeta.csv │ │ ├── rosenbrock-meta.csv │ │ ├── rosenbrock.csv │ │ ├── shubert-fn.csv │ │ ├── shubert-fnmeta.csv │ │ ├── shubert-meta.csv │ │ ├── shubert.csv │ │ ├── styblinski_tang-fn.csv │ │ ├── styblinski_tang-fnmeta.csv │ │ ├── styblinski_tang-meta.csv │ │ ├── styblinski_tang.csv │ │ ├── sumofsquares-fn.csv │ │ ├── sumofsquares-fnmeta.csv │ │ ├── sumofsquares-meta.csv │ │ ├── sumofsquares.csv │ │ ├── xinsheyang3-fn.csv │ │ ├── xinsheyang3-fnmeta.csv │ │ ├── xinsheyang3-meta.csv │ │ └── xinsheyang3.csv ├── blog.html ├── favicon.ico ├── index.html ├── nonconvex2d.md ├── paper.md ├── qp.md └── staff.html └── plot ├── fig2 ├── NonCVX2d_evolution.py ├── NonCVX2d_prob.py ├── NonCVX2d_scatterplots.py ├── README.md ├── figures │ ├── Evolution2D.eps │ ├── Evolution2D.png │ ├── SuccessProb2D.png │ ├── SuccessProb2D.svg │ └── scatterplots │ │ ├── ackley2_scatter.eps │ │ ├── ackley2_scatter.png │ │ ├── ackley_scatter.eps │ │ ├── ackley_scatter.png │ │ ├── alpine1_scatter.eps │ │ ├── alpine1_scatter.png │ │ ├── alpine2_scatter.eps │ │ ├── alpine2_scatter.png │ │ ├── bohachevsky2_scatter.eps │ │ ├── bohachevsky2_scatter.png │ │ ├── camel3_scatter.eps │ │ ├── camel3_scatter.png │ │ ├── csendes_scatter.eps │ │ ├── csendes_scatter.png │ │ ├── defl_corr_spring_scatter.eps │ │ ├── defl_corr_spring_scatter.png │ │ ├── dropwave_scatter.eps │ │ ├── dropwave_scatter.png │ │ ├── easom_scatter.eps │ │ ├── easom_scatter.png │ │ ├── griewank_scatter.eps │ │ ├── griewank_scatter.png │ │ ├── holder_scatter.eps │ │ ├── holder_scatter.png │ │ ├── hosaki_scatter.eps │ │ ├── hosaki_scatter.png │ │ ├── levy13_scatter.eps │ │ ├── levy13_scatter.png │ │ ├── levy_scatter.eps │ │ ├── levy_scatter.png │ │ ├── michalewicz_scatter.eps │ │ ├── michalewicz_scatter.png │ │ ├── rastrigin_scatter.eps │ │ ├── rastrigin_scatter.png │ │ ├── rosenbrock_scatter.eps │ │ ├── rosenbrock_scatter.png │ │ ├── shubert_scatter.eps │ │ ├── shubert_scatter.png │ │ ├── styblinski_tang_scatter.eps │ │ ├── styblinski_tang_scatter.png │ │ ├── sumofsquares_scatter.eps │ │ ├── sumofsquares_scatter.png │ │ ├── xinsheyang3_scatter.eps │ │ └── xinsheyang3_scatter.png └── website_NonCVX2d_scatterplots.py ├── fig3 ├── README.md ├── figures │ ├── levy_panel_B.png │ ├── levy_panel_C.png │ ├── levy_three_phase.png │ ├── lowE.eps │ └── lowE.png ├── generate_three_phase_data.py ├── levy_three_phase_data.npy ├── levy_three_phase_plot.py ├── lowE_subspace_plot.py ├── three_phase_data │ ├── ackley2_three_phase_data.npz │ ├── ackley_three_phase_data.npz │ ├── alpine1_three_phase_data.npz │ ├── alpine2_three_phase_data.npz │ ├── bohachevsky2_three_phase_data.npz │ ├── camel3_three_phase_data.npz │ ├── csendes_three_phase_data.npz │ ├── defl_corr_spring_three_phase_data.npz │ ├── dropwave_three_phase_data.npz │ ├── easom_three_phase_data.npz │ ├── griewank_three_phase_data.npz │ ├── holder_three_phase_data.npz │ ├── hosaki_three_phase_data.npz │ ├── levy13_three_phase_data.npz │ ├── levy_three_phase_data.npz │ ├── michalewicz_three_phase_data.npz │ ├── rastrigin_three_phase_data.npz │ ├── rosenbrock_three_phase_data.npz │ ├── shubert_three_phase_data.npz │ ├── styblinski_tang_three_phase_data.npz │ ├── sumofsquares_three_phase_data.npz │ └── xinsheyang3_three_phase_data.npz └── website_three_phase_plot.py ├── fig4 ├── README.md ├── figures │ ├── QP_TTS.png │ └── QP_TTS.svg ├── generate_qp_data_excel.py ├── plot_qp.py ├── qp_data │ ├── QP-50d-5s.xlsx │ ├── QP-5d.xlsx │ ├── QP-60d-5s.xlsx │ ├── QP-75d-5s.xlsx │ └── QP-stats-all.xlsx └── qp_stats.py ├── fig4_legacy ├── fig4a_tbm.ipynb ├── fig4medians.py ├── figures │ ├── DWClassicalMedians.eps │ └── DWClassicalMedians.png └── plot_data_tables.ipynb └── gurobi_runtime ├── figures ├── gurobi_nodes_explored.eps ├── gurobi_nodes_explored.png ├── gurobi_nodes_explored.svg ├── gurobi_runtime.eps ├── gurobi_runtime.png └── gurobi_runtime.svg ├── plot_gurobi_runtime.py ├── run_gurobi_benchmark.py └── runtime_data ├── gurobi_node_count_sparsity_15.npy ├── gurobi_node_count_sparsity_25.npy ├── gurobi_node_count_sparsity_45.npy ├── gurobi_node_count_sparsity_5.npy ├── gurobi_runtime_sparsity_15.npy ├── gurobi_runtime_sparsity_25.npy ├── gurobi_runtime_sparsity_45.npy └── 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