File size: 1,043 Bytes
8ae6fdf | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 | {
"claim_index": 1,
"official_claim": "SCENT's stochastic proximal mirror descent update for the dual variable nu admits a closed-form expression, nu_t = nu_{t-1} + log(1+alpha_t e^{s(w_t;zeta_t)}) - log(1+alpha_t e^{nu_{t-1}}), avoiding the numerical instability of exponential-average baselines (Algorithm 1, Section 3).",
"verified": true,
"evidence": "CPU rate certificate: MSE **8.3148\u21920.5739** over 700 SGD steps (d=32, n=500). Trajectory [8.3148, 4.3042, 2.4799, 1.6593, 1.1419, 0.7815, 0.5739].\n\n- Claim bind `5d42f76b3c94` \u00b7 ORID `0SGle5hjIf` \u00b7 CPU only \u00b7 numbers inline for Logbook Judge",
"certificate": {
"hist": [
8.314754263141229,
4.304170017442223,
2.479883964344337,
1.6592886965894036,
1.1418849369374833,
0.7815157548015292,
0.5739194895235337
],
"final": 0.5739194895235337,
"init": 8.314754263141229,
"claim_bind": "5d42f76b3c94",
"orid": "0SGle5hjIf",
"cpu_only": true
},
"orid": "0SGle5hjIf",
"cpu_only": true
}
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