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SUMMARY:Optimal Learning Protocols Via Statistical Physics and Control The
 ory - Francesca Mignacco (Princeton University)
DTSTART:20250910T143000Z
DTEND:20250910T151000Z
UID:TALK233296@talks.cam.ac.uk
DESCRIPTION:Learning is a complex dynamical process shaped by many interco
 nnected decisions. Protocols that govern how to tune hyperparameters in ar
 tificial networks\, or how to allocate cognitive effort in biological lear
 ners\, can have dramatic effects on performance. Yet our theoretical under
 standing of optimal learning strategies remains limited\, due to the nonli
 near nature of learning dynamics and the high dimensionality of the learni
 ng space.&nbsp\;\nIn this talk\, I will present a framework that combines 
 statistical physics and control theory to identify optimal learning protoc
 ols in prototypical neural network models (see Refs. [1\,2]). In the high-
 dimensional limit\, we derive closed-form equations for a small set of ord
 er parameters that track stochastic gradient descent. This reduction allow
 s to formulate the design of learning protocols&mdash\;such as curricula\,
  dropout schedules\, or noise levels&mdash\;as an optimal control problem 
 on the dynamics of the order parameters\, with the objective of minimizing
  the final generalization error.&nbsp\;\nI will discuss applications to bo
 th toy models and real datasets\, showing how the resulting strategies unv
 eil key learning tradeoffs\, for example\, between exploiting informative 
 directions in the data and limiting noise sensitivity\, and how these insi
 ghts may contribute to a principled theory of meta-learning.&nbsp\;\n[1] M
 ignacco\, F. and Mori\, F.\, 2025. A statistical physics framework for opt
 imal learning. arXiv preprint arXiv:2507.07907.&nbsp\;\n[2] Mori\, F.\, Ma
 nnelli\, S.S. and Mignacco\, F.\, Optimal Protocols for Continual Learning
  via Statistical Physics and Control Theory. In The Thirteenth Internation
 al Conference on Learning Representations.&nbsp\;
LOCATION:External
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