{ "protocol": "Assignments permute real frozen text states; hidden pairs are used only to place the true assignment in the ranking. The energy terms are the cross-modal relation MSE and conditional KL; the language-only terms of the falsified free-particle energy are permutation-invariant on this space.", "meta": { "dataset": "visual_genome_5k", "tier": "visible_relations", "samples": 512, "subset_seed": 1, "bundle_channels": false }, "args": { "dataset": "vg", "text_orbits": "artifacts/text_orbits_qwen0p5b.pt", "text_mode": "orbit_mean", "vg_vision": "artifacts/vg_5k/vision_features.pt", "vg_text": "artifacts/vg_5k_tiers/text_features_visible_relations.pt", "vg_ground_truth": "artifacts/vg_5k/ground_truth.private.jsonl", "vg_bundle_channels": false, "split": "test", "samples": 512, "subset_seed": 1, "random_perms": 1000, "derangement_samples": 200, "descent_restarts": 2, "descent_max_steps": 200000, "descent_objective": "m30_total", "descent_verify_top": 64, "device": "cpu", "seed": 20260729, "output": "artifacts/manifold_gate/vg512_visible_relations_seed1_scalar.json", "trajectory_output": null }, "channel_names": [ "mean" ], "gate_a_global_ranking": { "true": { "mse": 1.453038055193264, "mse_channels": [ 1.453038055193264 ], "mse_channel_mean": 1.453038055193264, "conditional_kl": 5.95559871418284, "m30_total": 4.097195853223096 }, "similarity_shift": { "mse": 1.7028438885640864, "mse_channels": [ 1.7028438885640864 ], "mse_channel_mean": 1.7028438885640864, "conditional_kl": 6.129976575579547, "m30_total": 4.631683092244082 }, "random": { "mse": { "mean": 2.001336097717285, "std": 0.05305016413331032, "min": 1.8026970624923706, "true_z": 10.33546257019043, "true_rank_among_random": 0, "count": 1000 }, "mse_channel_mean": { "mean": 2.001336097717285, "std": 0.05305016413331032, "min": 1.8026970624923706, "true_z": 10.33546257019043, "true_rank_among_random": 0, "count": 1000 }, "conditional_kl": { "mean": 6.142256259918213, "std": 0.008009831421077251, "min": 6.118518829345703, "true_z": 23.303539276123047, "true_rank_among_random": 0, "count": 1000 }, "m30_total": { "mean": 5.231123447418213, "std": 0.10682665556669235, "min": 4.829343795776367, "true_z": 10.614652633666992, "true_rank_among_random": 0, "count": 1000 } } }, "gate_b_transpositions": { "pairs": 130816, "improving_pairs": 22026, "improving_fraction": 0.16837389921722112, "delta_mean": 0.003104162946867964, "delta_min": -0.04063841182465318, "identity_is_local_min_mse": false, "worst_improving_swaps": [ { "pair": [ 183, 379 ], "delta_mse": -0.04063841182465318, "text_cosine": 0.9734816173849047, "visual_cosine": 0.13577289226153977 }, { "pair": [ 54, 183 ], "delta_mse": -0.035628208556075305, "text_cosine": 0.9770999759427651, "visual_cosine": 0.274508050032681 }, { "pair": [ 379, 425 ], "delta_mse": -0.03533233266552312, "text_cosine": 0.9755015591952603, "visual_cosine": 0.21514276432413382 }, { "pair": [ 183, 491 ], "delta_mse": -0.0334752307457879, "text_cosine": 0.966627752239741, "visual_cosine": 0.1255829343419982 }, { "pair": [ 212, 379 ], "delta_mse": -0.03331477428624797, "text_cosine": 0.9750114583384738, "visual_cosine": 0.21599569958492532 }, { "pair": [ 310, 379 ], "delta_mse": -0.03277455525867009, "text_cosine": 0.9825694344173559, "visual_cosine": 0.15032951289485877 }, { "pair": [ 336, 379 ], "delta_mse": -0.03272293916178919, "text_cosine": 0.9712897098251915, "visual_cosine": 0.07655640412195952 }, { "pair": [ 68, 379 ], "delta_mse": -0.0315041730956693, "text_cosine": 0.9743240645555933, "visual_cosine": 0.1322736780070451 }, { "pair": [ 153, 379 ], "delta_mse": -0.031374691339353625, "text_cosine": 0.9775056210812694, "visual_cosine": 0.21381881477198808 }, { "pair": [ 221, 379 ], "delta_mse": -0.030687521724858016, "text_cosine": 0.9771791293576695, "visual_cosine": 0.11118152110541739 }, { "pair": [ 54, 425 ], "delta_mse": -0.030543499771874094, "text_cosine": 0.9824273440449653, "visual_cosine": 0.17071422194810262 }, { "pair": [ 357, 379 ], "delta_mse": -0.03014069093437764, "text_cosine": 0.9740871361747527, "visual_cosine": 0.21851449236130746 }, { "pair": [ 289, 379 ], "delta_mse": -0.029412245392630577, "text_cosine": 0.9730668250608042, "visual_cosine": 0.23116067577404675 }, { "pair": [ 54, 310 ], "delta_mse": -0.02941023284527154, "text_cosine": 0.9727246537148585, "visual_cosine": 0.29086367952004943 }, { "pair": [ 115, 379 ], "delta_mse": -0.029192138564632597, "text_cosine": 0.97164378602417, "visual_cosine": 0.15574988298308967 }, { "pair": [ 205, 379 ], "delta_mse": -0.0286545909349536, "text_cosine": 0.9767479007938771, "visual_cosine": 0.014687241765777596 }, { "pair": [ 28, 379 ], "delta_mse": -0.028633759680634502, "text_cosine": 0.969566708001614, "visual_cosine": 0.10501731344941531 }, { "pair": [ 102, 379 ], "delta_mse": -0.028562437886458392, "text_cosine": 0.9714003990365127, "visual_cosine": 0.31391151171853676 }, { "pair": [ 205, 491 ], "delta_mse": -0.028254779141722773, "text_cosine": 0.9547747212398761, "visual_cosine": 0.006562937178026131 }, { "pair": [ 280, 379 ], "delta_mse": -0.028075751624608, "text_cosine": 0.9746036196987129, "visual_cosine": 0.21448360314604037 } ] }, "derangement_curve": [ { "k": 2, "delta_mean": 0.003241325728595257, "delta_std": 0.005557131487876177, "improving_fraction": 0.155 }, { "k": 4, "delta_mean": 0.006013606209307909, "delta_std": 0.007001472637057304, "improving_fraction": 0.135 }, { "k": 8, "delta_mean": 0.011310601606965065, "delta_std": 0.009442847222089767, "improving_fraction": 0.095 }, { "k": 16, "delta_mean": 0.024108991026878357, "delta_std": 0.0137513168156147, "improving_fraction": 0.04 }, { "k": 32, "delta_mean": 0.04965396225452423, "delta_std": 0.019222784787416458, "improving_fraction": 0.0 }, { "k": 64, "delta_mean": 0.0990811139345169, "delta_std": 0.029535885900259018, "improving_fraction": 0.0 }, { "k": 128, "delta_mean": 0.18086963891983032, "delta_std": 0.03972340002655983, "improving_fraction": 0.0 }, { "k": 256, "delta_mean": 0.332914263010025, "delta_std": 0.04878390580415726, "improving_fraction": 0.0 }, { "k": 512, "delta_mean": 0.5483521819114685, "delta_std": 0.052851662039756775, "improving_fraction": 0.0 } ], "gate_c_descent_from_true": { "start_accuracy": 1.0, "final_accuracy": 0.03515625, "final_objective": 2.2620124966438326, "final_energy": { "mse": 0.5428102005271018, "mse_channels": [ 0.5428102005271018 ], "mse_channel_mean": 0.5428102005271018, "conditional_kl": 5.8819604779481445, "m30_total": 2.2620124966438326 }, "accepted_moves": 653, "moved_fraction": 0.96484375, "mse_local_min_certificate": false, "trajectory": [ { "step": 0, "objective": 4.015474972965178, "accuracy": 0.99609375 }, { "step": 50, "objective": 3.011277128148137, "accuracy": 0.802734375 }, { "step": 100, "objective": 2.7144136764015867, "accuracy": 0.6171875 }, { "step": 150, "objective": 2.578369141345333, "accuracy": 0.4609375 }, { "step": 200, "objective": 2.486554568270841, "accuracy": 0.345703125 }, { "step": 250, "objective": 2.419465687706876, "accuracy": 0.263671875 }, { "step": 300, "objective": 2.3741630600728936, "accuracy": 0.197265625 }, { "step": 350, "objective": 2.3419167093226516, "accuracy": 0.1640625 }, { "step": 400, "objective": 2.3152876805953864, "accuracy": 0.134765625 }, { "step": 450, "objective": 2.2955558803404763, "accuracy": 0.099609375 }, { "step": 500, "objective": 2.282706893677922, "accuracy": 0.07421875 }, { "step": 550, "objective": 2.273649674328442, "accuracy": 0.05859375 }, { "step": 600, "objective": 2.266569048051099, "accuracy": 0.04296875 }, { "step": 650, "objective": 2.2620541394898863, "accuracy": 0.03515625 } ], "final_permutation": [ 324, 57, 42, 154, 407, 1, 267, 290, 116, 97, 49, 11, 252, 48, 431, 410, 309, 358, 222, 337, 18, 476, 223, 434, 351, 173, 245, 359, 495, 285, 336, 418, 201, 156, 424, 170, 450, 280, 38, 330, 20, 91, 176, 60, 392, 423, 463, 102, 69, 199, 457, 498, 481, 47, 94, 500, 120, 349, 51, 59, 183, 484, 230, 101, 488, 487, 141, 196, 478, 461, 506, 166, 445, 169, 68, 264, 426, 340, 489, 194, 469, 214, 405, 357, 437, 193, 86, 399, 386, 128, 85, 19, 254, 417, 17, 81, 452, 446, 92, 7, 474, 248, 149, 211, 197, 162, 504, 453, 108, 266, 8, 181, 155, 509, 80, 332, 265, 117, 16, 320, 218, 12, 315, 333, 89, 343, 131, 394, 31, 93, 104, 377, 352, 287, 270, 258, 390, 277, 207, 442, 323, 110, 164, 203, 294, 416, 415, 184, 148, 466, 429, 259, 206, 448, 66, 510, 244, 179, 479, 260, 4, 188, 96, 455, 247, 376, 345, 316, 271, 348, 242, 21, 231, 174, 180, 381, 208, 127, 78, 472, 13, 226, 210, 54, 28, 147, 204, 338, 278, 189, 249, 122, 167, 84, 139, 360, 378, 25, 274, 400, 195, 462, 483, 52, 454, 491, 61, 9, 299, 447, 425, 103, 55, 213, 64, 178, 132, 182, 262, 427, 62, 363, 356, 346, 464, 502, 75, 241, 492, 284, 161, 485, 449, 362, 308, 314, 113, 70, 326, 235, 240, 190, 389, 73, 15, 221, 397, 382, 414, 339, 250, 10, 319, 129, 24, 406, 283, 387, 109, 465, 22, 383, 493, 227, 475, 440, 216, 322, 508, 480, 145, 473, 460, 467, 192, 303, 433, 137, 327, 112, 354, 225, 432, 482, 435, 115, 232, 133, 293, 33, 328, 124, 341, 74, 98, 295, 430, 380, 6, 365, 36, 106, 503, 511, 2, 428, 408, 209, 100, 321, 257, 107, 507, 313, 239, 220, 304, 152, 165, 282, 238, 143, 32, 318, 288, 77, 344, 494, 396, 329, 39, 40, 312, 82, 163, 157, 379, 237, 413, 367, 404, 217, 243, 441, 168, 177, 44, 191, 140, 307, 126, 142, 159, 276, 468, 53, 136, 50, 459, 26, 200, 261, 215, 186, 105, 246, 375, 373, 368, 456, 370, 499, 302, 63, 251, 366, 14, 306, 233, 422, 253, 291, 3, 150, 298, 58, 88, 236, 121, 436, 160, 67, 371, 347, 374, 27, 401, 99, 398, 325, 317, 369, 364, 0, 281, 130, 439, 419, 301, 286, 409, 224, 29, 187, 268, 172, 125, 444, 403, 5, 255, 41, 234, 71, 477, 438, 76, 56, 153, 471, 443, 219, 275, 212, 23, 198, 395, 353, 83, 350, 90, 372, 497, 279, 342, 35, 289, 30, 144, 256, 87, 119, 292, 451, 391, 72, 388, 300, 505, 65, 486, 111, 384, 458, 420, 273, 355, 269, 296, 490, 501, 411, 335, 385, 146, 202, 79, 334, 272, 134, 138, 37, 118, 402, 43, 361, 205, 297, 45, 34, 158, 123, 228, 305, 310, 175, 496, 470, 114, 171, 229, 421, 311, 151, 95, 46, 331, 263, 185, 412, 393, 135 ] }, "gate_c_descent_from_random": [ { "start_accuracy": 0.001953125, "final_accuracy": 0.0, "final_objective": 2.225274354792683, "final_energy": { "mse": 0.5237225282106568, "mse_channels": [ 0.5237225282106568 ], "mse_channel_mean": 0.5237225282106568, "conditional_kl": 5.889146491856845, "m30_total": 2.225274354792683 }, "accepted_moves": 845, "moved_fraction": 0.994140625, "mse_local_min_certificate": false, "trajectory": [ { "step": 0, "objective": 5.158172436874345, "accuracy": 0.001953125 }, { "step": 50, "objective": 3.657563225707367, "accuracy": 0.0 }, { "step": 100, "objective": 3.205916211271018, "accuracy": 0.001953125 }, { "step": 150, "objective": 2.974085414135441, "accuracy": 0.00390625 }, { "step": 200, "objective": 2.768510490068097, "accuracy": 0.00390625 }, { "step": 250, "objective": 2.6137882129677164, "accuracy": 0.00390625 }, { "step": 300, "objective": 2.510600158627266, "accuracy": 0.001953125 }, { "step": 350, "objective": 2.438745434448197, "accuracy": 0.001953125 }, { "step": 400, "objective": 2.3889307297537945, "accuracy": 0.001953125 }, { "step": 450, "objective": 2.347569065875067, "accuracy": 0.001953125 }, { "step": 500, "objective": 2.313341259624158, "accuracy": 0.001953125 }, { "step": 550, "objective": 2.287504594669044, "accuracy": 0.00390625 }, { "step": 600, "objective": 2.2699991201507634, "accuracy": 0.00390625 }, { "step": 650, "objective": 2.254106145785899, "accuracy": 0.001953125 }, { "step": 700, "objective": 2.2439856940305076, "accuracy": 0.0 }, { "step": 750, "objective": 2.2370827042719266, "accuracy": 0.0 }, { "step": 800, "objective": 2.230439186483121, "accuracy": 0.0 } ] }, { "start_accuracy": 0.0, "final_accuracy": 0.0, "final_objective": 2.2436657259761885, "final_energy": { "mse": 0.532074986328795, "mse_channels": [ 0.532074986328795 ], "mse_channel_mean": 0.532074986328795, "conditional_kl": 5.897578766592993, "m30_total": 2.2436657259761885 }, "accepted_moves": 789, "moved_fraction": 0.986328125, "mse_local_min_certificate": false, "trajectory": [ { "step": 0, "objective": 5.208482230979952, "accuracy": 0.0 }, { "step": 50, "objective": 3.6817950197722977, "accuracy": 0.001953125 }, { "step": 100, "objective": 3.190729242469985, "accuracy": 0.00390625 }, { "step": 150, "objective": 2.8844136232681956, "accuracy": 0.00390625 }, { "step": 200, "objective": 2.6806777349892386, "accuracy": 0.00390625 }, { "step": 250, "objective": 2.5571522055059663, "accuracy": 0.005859375 }, { "step": 300, "objective": 2.4743863030419346, "accuracy": 0.005859375 }, { "step": 350, "objective": 2.4097347153675766, "accuracy": 0.005859375 }, { "step": 400, "objective": 2.364686790296131, "accuracy": 0.00390625 }, { "step": 450, "objective": 2.3313075814125206, "accuracy": 0.001953125 }, { "step": 500, "objective": 2.3049991232284963, "accuracy": 0.0 }, { "step": 550, "objective": 2.286543791351414, "accuracy": 0.0 }, { "step": 600, "objective": 2.2743657826856847, "accuracy": 0.0 }, { "step": 650, "objective": 2.2627350328689766, "accuracy": 0.0 }, { "step": 700, "objective": 2.2535225906454457, "accuracy": 0.0 }, { "step": 750, "objective": 2.246715100235309, "accuracy": 0.0 } ] } ], "verdict": { "true_m30_total": 4.097195853223096, "identity_is_local_min_mse": false, "descent_from_true_stays": 0.03515625, "on_manifold_counterfeit_found": true, "best_random_descent_m30_total": 2.225274354792683 } }