4.2k citations · 16.9k across the 118 of their papers we have counts for
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Unsupervised learning of binary vectors: a Gaussian scenario
M. Copelli, C. Van den Broeck
We study a model of unsupervised learning where the real-valued data vectors are isotropically distributed, except for a single symmetry breaking binary direction $\bm{B}\in\{-1,+1…
Stokes' drift: a rocking ratchet
I. Bena, M. Copelli, C. Van den Broeck
We derive the explicit analytic expression for the Stokes' drift in one dimension in the presence of a dichotomic Markov forcing. For small amplitudes of the forcing, the drift is…
Bayes-optimal performance in a discrete space
M. Copelli, C. Van den Broeck, M. Opper
We study a simple model of unsupervised learning where the single symmetry breaking vector has binary components . We calculate exactly the Bayes-optimal performance of an e…
On the center of mass of Ising vectors
M. Copelli, M. Bouten, C. Van den Broeck +1
We show that the center of mass of Ising vectors that obey some simple constraints, is again an Ising vector.