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Network codes designed specifically for distributed storage systems have the potential to provide dramatically higher storage efficiency for the same availability. One main challenge in the design of such codes is the exact repair problem:…

Information Theory · Computer Science 2011-09-02 Dimitris S. Papailiopoulos , Jianqiang Luo , Alexandros G. Dimakis , Cheng Huang , Jin Li

Distribution Matching Distillation (DMD) is a powerful acceleration paradigm, yet its stability is often compromised in Forbidden Zone, regions where the real teacher provides unreliable guidance while the fake teacher exerts insufficient…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Lichen Bai , Zikai Zhou , Shitong Shao , Wenliang Zhong , Shuo Yang , Shuo Chen , Bojun Chen , Zeke Xie

The number of parameters in deep neural networks (DNNs) is rapidly increasing to support complicated tasks and to improve model accuracy. Correspondingly, the amount of computations and required memory footprint increase as well.…

Machine Learning · Computer Science 2020-09-01 Yongkweon Jeon , Baeseong Park , Se Jung Kwon , Byeongwook Kim , Jeongin Yun , Dongsoo Lee

We investigate the problem of privacy preserving distributed matrix multiplication in edge networks using multi-party computation (MPC). Coded multi-party computation (CMPC) is an emerging approach to reduce the required number of workers…

Information Theory · Computer Science 2022-03-16 Elahe Vedadi , Yasaman Keshtkarjahromi , Hulya Seferoglu

Diffusion models (DMs) generate remarkable high quality images via the stochastic denoising process, which unfortunately incurs high sampling time. Post-quantizing the trained diffusion models in fixed bit-widths, e.g., 4 bits on weights…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Rocco Manz Maruzzelli , Basile Lewandowski , Lydia Y. Chen

This paper presents a randomized algorithm for computing the near-optimal low-rank dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to compute low-rank matrix approximations at a fraction of the cost of…

Numerical Analysis · Mathematics 2019-11-28 N. Benjamin Erichson , Lionel Mathelin , Steven L. Brunton , J. Nathan Kutz

Data deduplication emerged as a powerful solution for reducing storage and bandwidth costs in cloud settings by eliminating redundancies at the level of chunks. This has spurred the development of numerous Content-Defined Chunking (CDC)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-22 Marcel Gregoriadis , Leonhard Balduf , Björn Scheuermann , Johan Pouwelse

As the size of modern data sets exceeds the disk and memory capacities of a single computer, machine learning practitioners have resorted to parallel and distributed computing. Given that optimization is one of the pillars of machine…

Machine Learning · Statistics 2017-04-18 Alexandros Nathan , Diego Klabjan

The Randomized Singular Value Decomposition (RSVD) is a widely used algorithm for efficiently computing low-rank approximations of large matrices, without the need to construct a full-blown SVD. Of interest, of course, is the approximation…

Numerical Analysis · Mathematics 2025-10-09 Danil Akhtiamov , Reza Ghane , Babak Hassibi

Solving linear programs is often a challenging task in distributed settings. While there are good algorithms for solving packing and covering linear programs in a distributed manner (Kuhn et al.~2006), this is essentially the only class of…

Data Structures and Algorithms · Computer Science 2017-09-12 Michael Dinitz , Yasamin Nazari

Future networks are expected to connect an enormous number of nodes wirelessly using wide-band transmission. This brings great challenges. To avoid collecting a large amount of data from the massive number of nodes, computation over…

Information Theory · Computer Science 2019-06-04 Fangzhou Wu , Li Chen , Nan Zhao , Yunfei Chen , F. Richard Yu , Guo Wei

In this paper, we consider how to partition the parity-check matrices (PCMs) to reduce the hardware complexity and computation delay for the row layered decoding of quasi-cyclic low-density parity-check (QC-LDPC) codes. First, we formulate…

Information Theory · Computer Science 2022-08-30 Teng Lu , Xuan He , Peng Kang , Jiongyue Xing , Xiaohu Tang

In order to correct the pair-errors generated during the transmission of modern high-density data storage that the outputs of the channels consist of overlapping pairs of symbols, a new coding scheme named symbol-pair code is proposed. The…

Information Theory · Computer Science 2025-09-17 Xiujing Zheng , Liqi Wang , Shixin Zhu

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

Data Structures and Algorithms · Computer Science 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

In this paper, we study the problem of secure and private distributed matrix multiplication. Specifically, we focus on a scenario where a user wants to compute the product of a confidential matrix $A$, with a matrix $B_\theta$, where…

Information Theory · Computer Science 2019-06-26 Wei-Ting Chang , Ravi Tandon

Although image super-resolution (SR) problem has experienced unprecedented restoration accuracy with deep neural networks, it has yet limited versatile applications due to the substantial computational costs. Since different input images…

Computer Vision and Pattern Recognition · Computer Science 2024-04-05 Cheeun Hong , Kyoung Mu Lee

We study the streaming model for approximate matrix multiplication (AMM). We are interested in the scenario that the algorithm can only take one pass over the data with limited memory. The state-of-the-art deterministic sketching algorithm…

Machine Learning · Computer Science 2020-12-18 Luo Luo , Cheng Chen , Guangzeng Xie , Haishan Ye

Distributed processing frameworks, such as MapReduce, Hadoop, and Spark are popular systems for processing large amounts of data. The design of efficient algorithms in these frameworks is a challenging problem, as the systems both require…

Data Structures and Algorithms · Computer Science 2019-05-07 MohammadTaghi Hajiaghayi , Silvio Lattanzi , Saeed Seddighin , Cliff Stein

This paper introduces a new approach for the computation of electromagnetic field derivatives, up to any order, with respect to the material and geometric parameters of a given geometry, in a single Finite-Difference Time-Domain (FDTD)…

Numerical Analysis · Mathematics 2024-12-20 Kae-An Liu , Hans-Dieter Lang , Costas D. Sarris

Coded matrix multiplication is a technique to enable straggler-resistant multiplication of large matrices in distributed computing systems. In this paper, we first present a conceptual framework to represent the division of work amongst…

Information Theory · Computer Science 2019-07-23 Shahrzad Kiani , Nuwan Ferdinand , Stark C. Draper
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