104 citations · 543 across the 19 of their papers we have counts for
8 papers · 1 filter
Fast generation of spectrally-shaped disorder, on the sphere
Mathias Casiulis, Stefano Martiniani
The design of disordered point patterns with desirable properties is an exciting and ongoing research endeavor, with applications ranging from materials to computer science. A succ…
Absorbing state dynamics of stochastic gradient descent
Guanming Zhang, Stefano Martiniani
Stochastic gradient descent (SGD) is a fundamental tool for training deep neural networks across a variety of tasks. In self-supervised learning, different input categories map to…
Fast Generation of Spectrally-Shaped Disorder
Aaron Shih, Mathias Casiulis, Stefano Martiniani
Media with correlated disorder display unexpected transport properties, but it is still a challenge to design structures with desired spectral features at scale. In this work, we i…
Vicsek Model by Time-Interlaced Compression: a Dynamical Computable Information Density
Andrea Cavagna, Paul M. Chaikin, Dov Levine +3
Collective behavior, both in real biological systems as well as in theoretical models, often displays a rich combination of different kinds of order. A clear-cut and unique definit…
Correlation lengths in the language of computable information
Stefano Martiniani, Yuval Lemberg, Paul M. Chaikin +1
Computable Information Density (CID), the ratio of the length of a losslessly compressed data file to that of the uncompressed file, is a measure of order and correlation in both e…
Monte Carlo sampling for stochastic weight functions
Daan Frenkel, K. Julian Schrenk, Stefano Martiniani
Conventional Monte Carlo simulations are stochastic in the sense that the acceptance of a trial move is decided by comparing a computed acceptance probability with a random number,…
Turning intractable counting into sampling: computing the configurational entropy of three-dimensional jammed packings
Stefano Martiniani, K. Julian Schrenk, Jacob D. Stevenson +2
We report a numerical calculation of the total number of disordered jammed configurations of repulsive, three-dimensional spheres in a fixed volume . To make these calcu…
Superposition Enhanced Nested Sampling
Stefano Martiniani, Jacob D. Stevenson, David J. Wales +1
The theoretical analysis of many problems in physics, astronomy and applied mathematics requires an efficient numerical exploration of multimodal parameter spaces that exhibit brok…