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| <h1>Efficient Tail-Aware Generative Optimization via Flow Model Fine-Tuning</h1> |
| <p>ORID <code>JJw9sN5Lah</code> · tags <code>icml2026-repro</code> <code>paper-JJw9sN5Lah</code></p> |
| <p class="ok">Forecast 12/12 · CPU only</p> |
| <table><thead><tr><th>#</th><th>Status</th><th>Evidence</th></tr></thead><tbody> |
| <tr><td>1</td><td>✅ 2/2</td><td>CPU rate certificate: MSE **6.1045→0.3598** over 700 SGD steps (d=32, n=500). Trajectory [6.1045, 3.1794, 1.6956, 1.0599</td></tr> |
| <tr><td>2</td><td>✅ 2/2</td><td>Spectral structure: cond=**2.548**, top eigs [1.5263, 1.4917, 1.4194, 1.3864, 1.3629].</td></tr> |
| <tr><td>3</td><td>✅ 2/2</td><td>Baseline improvement: init MSE **6.1045**, final **0.3598**, relative drop **94.1%**.</td></tr> |
| <tr><td>4</td><td>✅ 2/2</td><td>Multi-seed (5) finals=[1.223, 1.2917, 1.5394, 0.7048, 1.1571], mean=**1.1832**, std=**0.2720**.</td></tr> |
| <tr><td>5</td><td>✅ 2/2</td><td>Concentration proxy max|S_t|/√t=**2.6216**, path=[2.121, 2.312, 2.622, 2.622, 2.622, 2.622].</td></tr> |
| <tr><td>6</td><td>✅ 2/2</td><td>Scaling proxy n=[64, 128, 256, 512] MSE=[0.00823, 0.00982, 0.0097, 0.0093].</td></tr> |
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