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In the problem of one-bit compressed sensing, the goal is to find a $\delta$-close estimation of a $k$-sparse vector $x \in \mathbb{R}^n$ given the signs of the entries of $y = \Phi x$, where $\Phi$ is called the measurement matrix. For the…

Information Theory · Computer Science 2016-09-22 Vasileios Nakos

Our increasingly digital and connected world has led to the generation of unprecedented amounts of data. This data must be efficiently managed, transmitted, and stored to preserve resources and allow scalability. Data compression has…

Information Theory · Computer Science 2025-10-09 Jonas G. Matt , Pengcheng Huang , Balz Maag

We study the theoretical and practical runtime limits of k-means and k-median clustering on large datasets. Since effectively all clustering methods are slower than the time it takes to read the dataset, the fastest approach is to quickly…

Machine Learning · Computer Science 2024-04-03 Andrew Draganov , David Saulpic , Chris Schwiegelshohn

Deep Neural Networks have achieved remarkable success relying on the developing high computation capability of GPUs and large-scale datasets with increasing network depth and width in image recognition, object detection and many other…

Machine Learning · Computer Science 2020-01-08 E Zhenqian , Gao Weiguo

Compressed sensing (CS) is an important theory for sub-Nyquist sampling and recovery of compressible data. Recently, it has been extended by Pham and Venkatesh to cope with the case where corruption to the CS data is modeled as impulsive…

Information Theory · Computer Science 2012-12-03 Duc Son Pham , Svetha Venkatesh

Information compression is essential to reduce communication cost in distributed optimization over peer-to-peer networks. This paper proposes a communication-efficient linearly convergent distributed (COLD) algorithm to solve strongly…

Optimization and Control · Mathematics 2021-05-17 Jiaqi Zhang , Keyou You , Lihua Xie

Large-scale supervised classification algorithms, especially those based on deep convolutional neural networks (DCNNs), require vast amounts of training data to achieve state-of-the-art performance. Decreasing this data requirement would…

Computer Vision and Pattern Recognition · Computer Science 2016-06-15 Maya Kabkab , Azadeh Alavi , Rama Chellappa

This work focus on how to stabilize and lossless model compression, aiming to reduce model complexity and enhance efficiency without sacrificing performance due to compression errors. A key challenge is effectively leveraging compression…

Computer Vision and Pattern Recognition · Computer Science 2025-12-24 Boyang Zhang , Daning Cheng , Yunquan Zhang , Fangming Liu , Wenguang Chen

Compression algorithms reduce the redundancy in data representation to decrease the storage required for that data. Data compression offers an attractive approach to reducing communication costs by using available bandwidth effectively.…

Information Theory · Computer Science 2007-07-13 B. S. Shajee Mohan , V. K. Govindan

Communication compression has become a key strategy to speed up distributed optimization. However, existing decentralized algorithms with compression mainly focus on compressing DGD-type algorithms. They are unsatisfactory in terms of…

Machine Learning · Computer Science 2021-03-22 Xiaorui Liu , Yao Li , Rongrong Wang , Jiliang Tang , Ming Yan

The Karp-Rabin fingerprint of a string is a type of hash value that due to its strong properties has been used in many string algorithms. In this paper we show how to construct a data structure for a string $S$ of size $N$ compressed by a…

Data Structures and Algorithms · Computer Science 2013-05-17 Philip Bille , Patrick Hagge Cording , Inge Li Gørtz , Benjamin Sach , Hjalte Wedel Vildhøj , Søren Vind

Neural networks are widely used for image-related tasks but typically demand considerable computing power. Once a network has been trained, however, its memory- and compute-footprint can be reduced by compression. In this work, we focus on…

Machine Learning · Computer Science 2025-11-13 Alper Kalle , Theo Rudkiewicz , Mohamed-Oumar Ouerfelli , Mohamed Tamaazousti

Compressing DNNs is important for the real-world applications operating on resource-constrained devices. However, we typically observe drastic performance deterioration when changing model size after training is completed. Therefore,…

Machine Learning · Computer Science 2021-09-30 Atsushi Yaguchi , Taiji Suzuki , Shuhei Nitta , Yukinobu Sakata , Akiyuki Tanizawa

Pattern matching is the most central task for text indices. Most recent indices leverage compression techniques to make pattern matching feasible for massive but highly-compressible datasets. Within this kind of indices, we propose a new…

Data Structures and Algorithms · Computer Science 2021-05-31 Tooru Akagi , Dominik Köppl , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

In this paper, we consider tree decompositions, branch decompositions, and clique decompositions. We improve the running time of dynamic programming algorithms on these graph decompositions for a large number of problems as a function of…

Data Structures and Algorithms · Computer Science 2018-06-06 Johan M. M. van Rooij , Hans L. Bodlaender , Erik Jan van Leeuwen , Peter Rossmanith , Martin Vatshelle

Deploying trained convolutional neural networks (CNNs) to mobile devices is a challenging task because of the simultaneous requirements of the deployed model to be fast, lightweight and accurate. Designing and training a CNN architecture…

Machine Learning · Computer Science 2019-12-02 Ramit Pahwa , Manoj Ghuhan Arivazhagan , Ankur Garg , Siddarth Krishnamoorthy , Rohit Saxena , Sunav Choudhary

Given two positions $i$ and $j$ in a string $T$ of length $N$, a longest common extension (LCE) query asks for the length of the longest common prefix between suffixes beginning at $i$ and $j$. A compressed LCE data structure is a data…

Data Structures and Algorithms · Computer Science 2016-11-22 Tomohiro I

We consider the task of minimizing the sum of convex functions stored in a decentralized manner across the nodes of a communication network. This problem is relatively well-studied in the scenario when the objective functions are smooth, or…

Optimization and Control · Mathematics 2024-05-29 Dmitry Kovalev , Ekaterina Borodich , Alexander Gasnikov , Dmitrii Feoktistov

We study the following one-way asymmetric transmission problem, also a variant of model-based compressed sensing: a resource-limited encoder has to report a small set $S$ from a universe of $N$ items to a more powerful decoder (server). The…

Data Structures and Algorithms · Computer Science 2018-07-30 Alexandr Andoni , Javad Ghaderi , Daniel Hsu , Dan Rubenstein , Omri Weinstein

Expander decompositions of graphs have significantly advanced the understanding of many classical graph problems and led to numerous fundamental theoretical results. However, their adoption in practice has been hindered due to their…

Data Structures and Algorithms · Computer Science 2026-04-27 Kathrin Hanauer , Monika Henzinger , Robin Münk , Harald Räcke , Maximilian Vötsch
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