Simons Institute | Social Behavior Prediction from Video Observations @SimonsInstituteTOC | Uploaded 2 months ago | Updated 20 hours ago
Shiry Ginosar (UC Berkeley)
https://simons.berkeley.edu/talks/shiry-ginosar-uc-berkeley-2024-06-26
Understanding Higher-Level Intelligence from AI, Psychology, and Neuroscience Perspectives

$Agnostic Proper Learning of Monotone Functions: Beyond the Black-Box Correction Barrier Jane Lange (Massachusetts Institute of Technology) https://simons.berkeley.edu/talks/jane-lange-massachusetts-institute-technology-2024-08-02 Sublinear Graph Simplification We give the first agnostic, efficient, proper learning algorithm for monotone Boolean functions. Given 2^Õ(sqrt(n)/ε) uniformly random examples of an unknown function f:{±1}^n→{±1}, our algorithm outputs a hypothesis g:{±1}^n→{±1} that is monotone and (opt+ε)-close to f, where opt is the distance from f to the closest monotone function. The running time of the algorithm (and consequently the size and evaluation time of the hypothesis) is also 2^Õ(sqrt(n)/ε), nearly matching the lower bound of Blais et al (RANDOM 15). We also give an algorithm for estimating up to additive error ε the distance of an unknown function f to monotone using a run-time of 2^Õ(sqrt(n)/ε). Previously, for both of these problems, sample-efficient algorithms were known, but these algorithms were not run-time efficient. Our work thus closes this gap in our knowledge between the run-time and sample complexity. This work builds upon the improper learning algorithm of Bshouty and Tamon (JACM 96) and the proper semiagnostic learning algorithm of Lange, Rubinfeld, and Vasilyan (FOCS 22), which obtains a non-monotone Boolean-valued hypothesis, then corrects it to monotone using query-efficient local computation algorithms on graphs. This black-box correction approach can achieve no error better than 2opt+ε information-theoretically; we bypass this barrier by a) augmenting the improper learner with a convex optimization step, and b) learning and correcting a real-valued function before rounding its values to Boolean. Our real-valued correction algorithm solves the poset sorting problem of [LRV22] for functions over general posets with non-Boolean labels.$

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Social Behavior Prediction from Video Observations @SimonsInstituteTOC