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In neural network compression, most current methods reduce unnecessary parameters by measuring importance and redundancy. To augment already highly optimized existing solutions, we propose linearity-based compression as a novel way to…

Machine Learning · Computer Science 2025-06-27 Silas Dobler , Florian Lemmerich

We propose a fast methodology for encoding graphs with information-theoretically minimum numbers of bits. Specifically, a graph with property pi is called a pi-graph. If pi satisfies certain properties, then an n-node m-edge pi-graph G can…

Data Structures and Algorithms · Computer Science 2007-05-23 Xin He , Ming-Yang Kao , Hsueh-I Lu

Many dynamical processes of complex systems can be understood as the dynamics of a group of nodes interacting on a given network structure. However, finding such interaction structure and node dynamics from time series of node behaviours is…

Physics and Society · Physics 2022-06-28 Yan Zhang , Yu Guo , Zhang Zhang , Mengyuan Chen , Shuo Wang , Jiang Zhang

We construct exact confidence intervals for the average treatment effect in randomized experiments with binary outcomes using sequences of randomization tests. Our approach does not rely on large-sample approximations and is valid for all…

Methodology · Statistics 2026-02-25 Peng Zhang

Due to limited communication resources at the client and a massive number of model parameters, large-scale distributed learning tasks suffer from communication bottleneck. Gradient compression is an effective method to reduce communication…

Machine Learning · Computer Science 2021-11-17 Kai Liang , Huiru Zhong , Haoning Chen , Youlong Wu

We give an algorithm that learns a representation of data through compression. The algorithm 1) predicts bits sequentially from those previously seen and 2) has a structure and a number of computations similar to an autoencoder. The…

Computer Vision and Pattern Recognition · Computer Science 2011-08-05 Karol Gregor , Yann LeCun

Analysing Web graphs has applications in determining page ranks, fighting Web spam, detecting communities and mirror sites, and more. This study is however hampered by the necessity of storing a major part of huge graphs in the external…

Data Structures and Algorithms · Computer Science 2011-09-07 Szymon Grabowski , Wojciech Bieniecki

We present a new graph compressor that works by recursively detecting repeated substructures and representing them through grammar rules. We show that for a large number of graphs the compressor obtains smaller representations than other…

Data Structures and Algorithms · Computer Science 2017-04-19 Sebastian Maneth , Fabian Peternek

Tensor data are increasingly available in many application domains. We develop several tensor decomposition methods for binary tensor data. Different from classical tensor decompositions for continuous-valued data with squared error loss,…

Applications · Statistics 2021-06-30 Jianhao Zhang , Yoonkyung Lee

It is a common contention that it is an ``impossible mission'' to exactly determine the minimum sample size for the estimation of a binomial parameter with prescribed margin of error and confidence level. In this paper, we investigate such…

Statistics Theory · Mathematics 2007-08-02 Xinjia Chen

A sequential importance sampling algorithm is developed for the distribution that results when a matrix of independent, but not identically distributed, Bernoulli random variables is conditioned on a given sequence of row and column sums.…

Computation · Statistics 2013-01-18 Matthew T. Harrison , Jeffrey W. Miller

We demonstrate that the recently proposed pruned-enriched Rosenbluth method PERM (P. Grassberger, Phys. Rev. E, in press (1997)) leads to extremely efficient algorithms for the folding of simple model proteins. We test it on several models…

Statistical Mechanics · Physics 2007-05-23 Ugo Bastolla , Helge Frauenkron , Erwin Gerstner , Peter Grassberger , Walter Nadler

Consider an infinite graph with nodes initially labeled by independent Bernoulli random variables of parameter p. We address the density classification problem, that is, we want to design a (probabilistic or deterministic) cellular…

Probability · Mathematics 2011-11-22 Ana Busic , Nazim Fates , Jean Mairesse , Irene Marcovici

The one-bit compressed sensing framework aims to reconstruct a sparse signal by only using the sign information of its linear measurements. To compensate for the loss of scale information, past studies in the area have proposed recovering…

Information Theory · Computer Science 2016-09-21 Yingying Xu , Yoshiyuki Kabashima

Graph mining for structural patterns is a fundamental task in many applications. Compilation-based graph mining systems, represented by AutoMine, generate specialized algorithms for the provided patterns and substantially outperform other…

Performance · Computer Science 2019-12-02 Daniel Mawhirter , Sam Reinehr , Connor Holmes , Tongping Liu , Bo Wu

We present an end-to-end image compression system based on compressive sensing. The presented system integrates the conventional scheme of compressive sampling and reconstruction with quantization and entropy coding. The compression…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Xin Yuan , Raziel Haimi-Cohen

We present a unified one-shot coding framework designed for the communication and compression of messages among multiple nodes across a general acyclic noisy network. Our setting can be seen as a one-shot version of the acyclic discrete…

Information Theory · Computer Science 2025-08-19 Yanxiao Liu , Cheuk Ting Li

Today's graphs used in domains such as machine learning or social network analysis may contain hundreds of billions of edges. Yet, they are not necessarily stored efficiently, and standard graph representations such as adjacency lists waste…

Data Structures and Algorithms · Computer Science 2020-11-02 Maciej Besta , Dimitri Stanojevic , Tijana Zivic , Jagpreet Singh , Maurice Hoerold , Torsten Hoefler

Tensor network contraction is central to problems ranging from many-body physics to computer science. We describe how to approximate tensor network contraction through bond compression on arbitrary graphs. In particular, we introduce a…

Quantum Physics · Physics 2024-01-30 Johnnie Gray , Garnet Kin-Lic Chan

Neural compression algorithms are typically based on autoencoders that require specialized encoder and decoder architectures for different data modalities. In this paper, we propose COIN++, a neural compression framework that seamlessly…

Machine Learning · Computer Science 2022-12-09 Emilien Dupont , Hrushikesh Loya , Milad Alizadeh , Adam Goliński , Yee Whye Teh , Arnaud Doucet