748 citations · 1.3k across the 17 of their papers we have counts for
6 papers · 1 filter
Error counting in a quantum error-correcting code and the ground-state energy of a spin glass
Hidetoshi Nishimori, Peter Sollich
Upper and lower bounds are given for the number of equivalence classes of error patterns in the toric code for quantum memory. The results are used to derive a lower bound on the g…
Fluctuation-dissipation relations in trap models
Peter Sollich
Trap models are intuitively appealing and often solvable models of glassy dynamics. In particular, they have been used to study aging and the resulting out-of-equilibrium fluctuati…
Model Selection for Support Vector Machine Classification
Carl Gold, Peter Sollich
We address the problem of model selection for Support Vector Machine (SVM) classification. For fixed functional form of the kernel, model selection amounts to tuning kernel paramet…
Gaussian Process Regression with Mismatched Models
Peter Sollich
Learning curves for Gaussian process regression are well understood when the `student' model happens to match the `teacher' (true data generation process). I derive approximations…
Learning curves for Gaussian process regression: Approximations and bounds
Peter Sollich, Anason Halees
We consider the problem of calculating learning curves (i.e., average generalization performance) of Gaussian processes used for regression. On the basis of a simple expression for…
On-Line Learning with Restricted Training Sets: An Exactly Solvable Case
H. C. Rae, P. Sollich, A. C. C. Coolen
We solve the dynamics of on-line Hebbian learning in large perceptrons exactly, for the regime where the size of the training set scales linearly with the number of inputs. We cons…