70 citations · 121 across the 7 of their papers we have counts for
8 papers
Hashing embeddings of optimal dimension, with applications to linear least squares
Coralia Cartis, Jan Fiala, Zhen Shao
The aim of this paper is two-fold: firstly, to present subspace embedding properties for -hashing sketching matrices, with , that are optimal in the projection dimensio…
Improving the Flexibility and Robustness of Model-Based Derivative-Free Optimization Solvers
Coralia Cartis, Jan Fiala, Benjamin Marteau +1
We present DFO-LS, a software package for derivative-free optimization (DFO) for nonlinear Least-Squares (LS) problems, with optional bound constraints. Inspired by the Gauss-Newto…
PENLAB: A MATLAB solver for nonlinear semidefinite optimization
Jan Fiala, Michal Kočvara, Michael Stingl
PENLAB is an open source software package for nonlinear optimization, linear and nonlinear semidefinite optimization and any combination of these. It is written entirely in MATLAB.…
Cluster Approximation for the Farey Fraction Spin Chain
T. Prellberg, J. Fiala, P. Kleban
We consider the Farey fraction spin chain in an external field . Utilising ideas from dynamical systems, the free energy of the model is derived by means of an effective cluster…
Intervals Between Farey Fractions in the Limit of Infinite Level
Jan Fiala, Peter Kleban
The modified Farey sequence consists, at each level k, of rational fractions r_k^{(n)}, with n=1, 2, ...,2^k+1. We consider I_k^{(e)}, the total length of (one set of) alternate in…
Generalized Number Theoretic Spin Chain-Connections to Dynamical Systems and Expectation Values
Jan Fiala, Peter Kleban
We generalize the number theoretic spin chain, a one-dimensional statistical model based on the Farey fractions, by introducing a new parameter x>=0. This allows us to write recurs…