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The use of parity-check gates in information theory has proved to be very efficient. In particular, error correcting codes based on parity checks over low-density graphs show excellent performances. Another basic issue of information…

无序系统与神经网络 · 物理学 2007-05-23 S. Ciliberti , M. Mezard , R. Zecchina

We investigate how insights from statistical physics, namely survey propagation, can improve decoding of a particular class of sparse error correcting codes. We show that a recently proposed algorithm, time averaged belief propagation, is…

统计力学 · 物理学 2009-11-11 Jonathan PL Hatchett , Yoshiyuki Kabashima

We propose a novel perspective on varied-density clustering for high-dimensional data by framing it as a label propagation process in neighborhood graphs that adapt to local density variations. Our method formally connects density-based…

机器学习 · 计算机科学 2025-08-06 Ninh Pham , Yingtao Zheng , Hugo Phibbs

In this paper, we develop semi-external and external memory algorithms for graph partitioning and clustering problems. Graph partitioning and clustering are key tools for processing and analyzing large complex networks. We address both…

数据结构与算法 · 计算机科学 2014-09-24 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

This paper demonstrates how new principles of compressed sensing, namely asymptotic incoherence, asymptotic sparsity and multilevel sampling, can be utilised to better understand underlying phenomena in practical compressed sensing and…

泛函分析 · 数学 2014-07-08 Bogdan Roman , Anders Hansen , Ben Adcock

Grammar-based compression is a popular and powerful approach to compressing repetitive texts but until recently its relatively poor time-space trade-offs during real-life construction made it impractical for truly massive datasets such as…

This paper presents a novel selective constraint propagation method for constrained image segmentation. In the literature, many pairwise constraint propagation methods have been developed to exploit pairwise constraints for cluster…

计算机视觉与模式识别 · 计算机科学 2015-02-06 Peng Han

We study a new encoding scheme for lossy source compression based on spatially coupled low-density generator-matrix codes. We develop a belief-propagation guided-decimation algorithm, and show that this algorithm allows to approach the…

信息论 · 计算机科学 2012-02-23 Vahid Aref , Nicolas Macris , Rudiger Urbanke , Marc Vuffray

This article introduces a novel paradigm for the unsourced multiple-access communication problem. This divide-and-conquer approach leverages recent advances in compressive sensing and forward error correction to produce a computationally…

Many combinatorial optimization problems can be approximated within $(1 \pm \epsilon)$ factors in $\text{poly}(\log n, 1/\epsilon)$ rounds in the LOCAL model via network decompositions [Ghaffari, Kuhn, and Maus, STOC 2018]. These approaches…

数据结构与算法 · 计算机科学 2025-10-24 Yi-Jun Chang , Hsin-Hao Su

Source coding is the canonical problem of data compression in information theory. In a locally encodable source coding, each compressed bit depends on only few bits of the input. In this paper, we show that a recently popular model of…

机器学习 · 统计学 2020-11-10 Arya Mazumdar , Soumyabrata Pal

Generalist imitation learning policies trained on large datasets show great promise for solving diverse manipulation tasks. However, to ensure generalization to different conditions, policies need to be trained with data collected across a…

Based on the impressive features that network coding and compressed sensing paradigms have separately brought, the idea of bringing them together in practice will result in major improvements and influence in the upcoming 5G networks. In…

网络与互联网体系结构 · 计算机科学 2017-11-10 Maroua Taghouti , Anil Kumar Chorppath , Tobias Waurick , Frank H. P. Fitzek

We present a global optimization algorithm for clustering data given the ratio of likelihoods that each pair of data points is in the same cluster or in different clusters. To define a clustering solution in terms of pairwise relationships,…

机器学习 · 计算机科学 2015-06-11 Vijay Kumar , Dan Levy

Studying real-world networks such as social networks or web networks is a challenge. These networks often combine a complex, highly connected structure together with a large size. We propose a new approach for large scale networks that is…

社会与信息网络 · 计算机科学 2020-10-23 Benjamin Ricaud , Nicolas Aspert , Volodymyr Miz

This paper investigates a new learning formulation called structured sparsity, which is a natural extension of the standard sparsity concept in statistical learning and compressive sensing. By allowing arbitrary structures on the feature…

统计方法学 · 统计学 2009-05-05 Junzhou Huang , Tong Zhang , Dimitris Metaxas

Previous work has suggested that the structural restrictions of graphs from classes of bounded expansion--locally dense pockets in a globally sparse graph--naturally coincide with common properties of real-world networks such as clustering…

数据结构与算法 · 计算机科学 2018-04-24 Michael P. O'Brien , Blair D. Sullivan

We introduce an efficient message passing scheme for solving Constraint Satisfaction Problems (CSPs), which uses stochastic perturbation of Belief Propagation (BP) and Survey Propagation (SP) messages to bypass decimation and directly…

人工智能 · 计算机科学 2016-01-05 Siamak Ravanbakhsh , Russell Greiner

We show how real-number codes can be used to compress correlated sources, and establish a new framework for lossy distributed source coding, in which we quantize compressed sources instead of compressing quantized sources. This change in…

信息论 · 计算机科学 2012-06-20 Mojtaba Vaezi , Fabrice Labeau

Probabilistic shaping (PS) has been widely studied and applied to optical fiber communications. The encoder of PS expends the number of bit slots and controls the probability distribution of channel input symbols. Not only studies focused…

信息论 · 计算机科学 2024-01-25 Tsuyoshi Yoshida , Koji Igarashi , Magnus Karlsson , Erik Agrell