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We consider the situation when a learner faces a set of unknown discrete distributions $(p_k)_{k\in \mathcal K}$ defined over a common alphabet $\mathcal X$, and can build for each distribution $p_k$ an individual high-probability…

Machine Learning · Statistics 2024-07-23 Odalric-Ambrym Maillard , Mohammad Sadegh Talebi

We propose a new algorithm for binary quantization based on the Belief Propagation algorithm with decimation over factor graphs of Low Density Generator Matrix (LDGM) codes. This algorithm, which we call Bias Propagation (BiP), can be…

Information Theory · Computer Science 2007-10-03 Tomas Filler , Jessica Fridrich

Probability estimation is essential for every statistical data compression algorithm. In practice probability estimation should be adaptive, recent observations should receive a higher weight than older observations. We present a…

Information Theory · Computer Science 2015-01-12 Christopher Mattern

Employing molecular dynamics simulations of jammed soft particles, we study microscopic responses of force-chain networks to quasi-static isotropic (de)compressions. We show that not only contacts but also interparticle gaps between the…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Vanessa Magnanimo , Stefan Luding

A key property underlying the success of evolutionary algorithms (EAs) is their global search behavior, which allows the algorithms to `jump' from a current state to other parts of the search space, thereby avoiding to get stuck in local…

Neural and Evolutionary Computing · Computer Science 2019-01-18 Furong Ye , Carola Doerr , Thomas Bäck

Sub-population shift is a specific type of domain shift that highlights changes in data distribution within specific sub-groups or populations between training and testing. Sub-population shift accounts for a significant source of…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Yijiang Pang , Bao Hoang , Jiayu Zhou

We introduce BitFit, a sparse-finetuning method where only the bias-terms of the model (or a subset of them) are being modified. We show that with small-to-medium training data, applying BitFit on pre-trained BERT models is competitive with…

Machine Learning · Computer Science 2026-01-30 Elad Ben-Zaken , Shauli Ravfogel , Yoav Goldberg

This work develops a rate-distortion-based approach to stochastic Chase decoding of algebraic codes over binary memoryless symmetric (BMS) channels, replacing the heuristics traditionally used to determine flip probabilities with…

Information Theory · Computer Science 2026-05-20 Amit Berman , Ariel Doubchak , Uri Erez , Tal Philosof , Ilya Shapir

We have analyzed the relations between the mutational pressure, recombination and selection pressure in the bit-string model with sexual reproduction. For specific sets of these parameters we have found three phase transitions with one…

Populations and Evolution · Quantitative Biology 2007-05-23 D. Stauffer , S. Cebrat

A scheme is proposed that combines probabilistic signal shaping with bit-metric decoding. The transmitter generates symbols according to a distribution on the channel input alphabet. The symbols are labeled by bit strings. At the receiver,…

Information Theory · Computer Science 2014-04-22 Georg Böcherer

We consider a simple setting in neuroevolution where an evolutionary algorithm optimizes the weights and activation functions of a simple artificial neural network. We then define simple example functions to be learned by the network and…

Neural and Evolutionary Computing · Computer Science 2023-10-17 Paul Fischer , Emil Lundt Larsen , Carsten Witt

We introduce and study the writhe of a permutation, a circular variant of the well-known inversion number. This simple permutation statistics has several interpretations, which lead to some interesting properties. For a permutation sampled…

Combinatorics · Mathematics 2017-11-30 Chaim Even-Zohar

We study a mutation-selection model with a fluctuating environment. More precisely, individuals in a large population are assumed to have a modifier locus determining the mutation rate $u \in [0,\vartheta]$ at a second locus with types $v…

Probability · Mathematics 2019-09-16 Franz Baumdicker , Elisabeth Huss , Peter Pfaffelhuber

In this paper we introduce and discuss kinetic equations for the evolution of the probability distribution of the number of particles in a population subject to binary interactions. The microscopic binary law of interaction is assumed to be…

Probability · Mathematics 2015-01-13 Federico Bassetti , Giuseppe Toscani

Hit-and-Run is known to be one of the best random sampling algorithms, its mixing time is polynomial in dimension. Nevertheless, in practice the number of steps required to achieve uniformly distributed samples is rather high. We propose…

Optimization and Control · Mathematics 2014-02-13 Elena Gryazina , Boris Polyak

An incremental evolution equation, i.e. a Master equation in statistical mechanics, is introduced for force distributions in polydisperse frictional particle packings. As basic ingredients of the Master equation, the conditional probability…

Soft Condensed Matter · Physics 2015-05-29 Kuniyasu Saitoh , Vanessa Magnanimo , Stefan Luding

We consider a spatial (line) model for invasion of a population by a single mutant with a stochastically selectively neutral fitness landscape, independent from the fitness landscape for non-mutants. This model is similar to those…

Probability · Mathematics 2021-04-05 Suzan Farhang-Sardroodi , Natalia L. Komarova , Marcus Michelen , Robin Pemantle

We approximate the distribution of the sum of independent but not necessarily identically distributed Bernoulli random variables using a shifted binomial distribution where the three parameters (the number of trials, the probability of…

Probability · Mathematics 2010-04-02 Vydas Čekanavičius , Erol A. Peköz , Adrian Röllin , Michael Shwartz

The Wright-Fisher model describes a biological population containing a finite number of individuals. In this work we consider a Wright-Fisher model for a randomly mating population, where selection and mutation act at an unlinked locus. The…

Populations and Evolution · Quantitative Biology 2024-07-18 David Waxman

Probabilistic programming languages (PPLs) are expressive means for creating and reasoning about probabilistic models. Unfortunately hybrid probabilistic programs, involving both continuous and discrete structures, are not well supported by…

Programming Languages · Computer Science 2024-06-25 Poorva Garg , Steven Holtzen , Guy Van den Broeck , Todd Millstein