5 papers
Emergence of Hierarchy on a Network of Complementary Agents
M. Copelli, R. M. Zorzenon dos Santos, J. S. Sa Martins
Complementarity is one of the main features underlying the interactions in biological and biochemical systems. Inspired by those systems we propose a model for the dynamical evolut…
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.