├── .DS_Store ├── .gitignore ├── FOptM ├── MGramSchmidt.m ├── OptManiMulitBallGBB.m ├── OptStiefelGBB.m ├── README.m ├── Test_maxcut_demo.m ├── maxcut_quad.m └── test_eig_rand_demo.m ├── LICENSE ├── README.md ├── library ├── assert_warn.m ├── calc_constrainted_least_square_cutting_plane.m ├── calc_low_dimension_manifold.m ├── calc_manifold_properties.m ├── calc_manifold_properties2.m ├── calc_manifold_properties3.m ├── calc_randomization_single_neurons.m ├── check_binary_dichotomies_capacity2.m ├── check_binary_dichotomies_sampled_features2.m ├── check_capacity.m ├── check_covariance_low_rank_approx_optimal_K.m ├── check_hierarchial_capacity.m ├── check_linear_seperability_generalization_svm_cplexqp.m ├── check_linear_seperability_svm_cplexqp.m ├── check_samples_capacity.m ├── hostname.m ├── optimal_low_rank_structure2.m ├── sample_indices.m ├── sample_random_labels.m ├── square_corrcoeff_full_cost.m ├── theory_alpha0.m └── theory_alpha0_cached.m ├── point_cloud_analysis ├── .DS_Store └── manifold_stable_analysis_corr.m ├── smooth_manifolds_analysis ├── assert_warn.m ├── calc_constrainted_least_square_cutting_plane.m ├── calc_low_dimension_manifold.m ├── calc_low_dimension_manifolds_preserving_correlations.m ├── calc_manifold_properties.m ├── calc_manifold_properties2.m ├── calc_manifold_properties3.m ├── calc_manifolds_properties_fast.m ├── calc_randomization_single_neurons.m ├── check_binary_dichotomies_capacity.m ├── check_binary_dichotomies_capacity2.m ├── check_binary_dichotomies_capacity2_spheres.m ├── check_binary_dichotomies_sampled_features.m ├── check_binary_dichotomies_sampled_features2.m ├── check_binary_dichotomies_sampled_features2_spheres.m ├── check_convnet_capacity_one_dimensional_change.m ├── check_convnet_capacity_one_dimensional_change2.m ├── check_convnet_capacity_one_dimensional_change2_spheres.m ├── check_convnet_capacity_random_change.m ├── check_convnet_capacity_random_change2.m ├── check_convnet_covariance_low_rank_approx_optimal_K.m ├── check_hierarchial_capacity.m ├── check_linear_seperability_generalization_svm_cplexqp.m ├── check_linear_seperability_spheres_svm_cplexqp.m ├── check_linear_seperability_svm_cplexqp.m ├── check_samples_capacity.m ├── create_binary_dichotomies.m ├── generate_results_ncomms2020.m ├── hostname.m ├── init_imagenet.m ├── load_network_metadata.m ├── optimal_low_rank_structure2.m ├── sample_indices.m ├── sample_random_labels.m ├── square_corrcoeff_full_cost.m ├── theory_alpha0.m └── theory_alpha0_cached.m └── smooth_manifolds_generation ├── assert_warn.m ├── calc_affine_transform_magnitude.m ├── calc_imagenet_warp.m ├── calc_imagenet_warp_legacy.m ├── choose_imagenet_template_images.m ├── convnet_init.m ├── create_1d_affine_transform.m ├── create_affine_transform_type.m ├── create_affine_transformation_range.m ├── create_random_affine_transform.m ├── create_random_affine_transform_bounded.m ├── create_valid_random_affine_transfrom.m ├── dog_small.jpg ├── generate_convnet_model_metadata.m ├── 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