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cs.LG2024

The Non-Local Model Merging Problem: Permutation Symmetries and Variance Collapse

Ekansh Sharma, Daniel M. Roy, Gintare Karolina Dziugaite

Model merging aims to efficiently combine the weights of multiple expert models, each trained on a specific task, into a single multi-task model, with strong performance across all…

cs.LG2024

Sequential Probability Assignment with Contexts: Minimax Regret, Contextual Shtarkov Sums, and Contextual Normalized Maximum Likelihood

Ziyi Liu, Idan Attias, Daniel M. Roy

We study the fundamental problem of sequential probability assignment, also known as online learning with logarithmic loss, with respect to an arbitrary, possibly nonparametric hyp…

cs.LG2024

Causal Bandits: The Pareto Optimal Frontier of Adaptivity, a Reduction to Linear Bandits, and Limitations around Unknown Marginals

Ziyi Liu, Idan Attias, Daniel M. Roy

In this work, we investigate the problem of adapting to the presence or absence of causal structure in multi-armed bandit problems. In addition to the usual reward signal, we assum…

cs.LG2024

Simultaneous linear connectivity of neural networks modulo permutation

Ekansh Sharma, Devin Kwok, Tom Denton +3

Neural networks typically exhibit permutation symmetries which contribute to the non-convexity of the networks' loss landscapes, since linearly interpolating between two permuted v…

cs.LG2024

Information Complexity of Stochastic Convex Optimization: Applications to Generalization and Memorization

Idan Attias, Gintare Karolina Dziugaite, Mahdi Haghifam +2

In this work, we investigate the interplay between memorization and learning in the context of \emph{stochastic convex optimization} (SCO). We define memorization via the informati…