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Overview:
When: 4:00 PM to 5:00 PM on Monday, September 09, 2024
* 3:30 PM – Pre-talk meet and greet teatime at 219 Prospect Street, 13th floor. There will be light snacks and beverages in the kitchen area.*
Location: Kline Tower, 13th Floor, Rm. 1327 (219 Prospect Street, New Haven, CT 06511) [See Map]
Zoom Link [Meeting ID: 942 2381 6617]
Abstract:
We show that the capacity of the Ising perceptron is with high probability upper bounded by the constant $\alpha \approx 0.833$ conjectured by Krauth and Mézard, under the condition that an explicit two-variable function $S(\lambda_1,\lambda_2)$ is maximized at (1,0). The earlier work of Ding and Sun proves the matching lower bound subject to a similar numerical condition, and together these results give a conditional proof of the conjecture of Krauth and Mézard.
