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A distributed lossy compression network with $L$ encoders and a decoder is considered. Each encoder observes a source and sends a compressed version to the decoder. The decoder produces a joint reconstruction of target signals with the mean…

Information Theory · Computer Science 2022-06-06 Siyao Zhou , Sadaf Salehkalaibar , Jingjing Qian , Jun Chen , Wuxian Shi , Yiqun Ge , Wen Tong

This paper focuses on reducing memory usage in enumerative model checking, while maintaining the multi-core scalability obtained in earlier work. We present a tree-based multi-core compression method, which works by leveraging sharing among…

Data Structures and Algorithms · Computer Science 2011-05-17 Alfons Laarman , Jaco van de Pol , Michael Weber

We introduce a stop-code tolerant (SCT) approach to training recurrent convolutional neural networks for lossy image compression. Our methods introduce a multi-pass training method to combine the training goals of high-quality…

Computer Vision and Pattern Recognition · Computer Science 2017-05-19 Michele Covell , Nick Johnston , David Minnen , Sung Jin Hwang , Joel Shor , Saurabh Singh , Damien Vincent , George Toderici

Many machine learning applications require operating on a spatially distributed dataset. Despite technological advances, privacy considerations and communication constraints may prevent gathering the entire dataset in a central unit. In…

Machine Learning · Statistics 2024-01-30 Alexandros E. Tzikas , Licio Romao , Mert Pilanci , Alessandro Abate , Mykel J. Kochenderfer

The trend in modern science and technology is to take vector measurements rather than scalars, ruthlessly scaling to ever higher dimensional vectors. For about two decades now, traditional scalar Compressed Sensing has been synonymous with…

Machine Learning · Computer Science 2025-05-02 Apratim Dey , David Donoho

In supervised learning with distributional inputs in the two-stage sampling setup, relevant to applications like learning-based medical screening or causal learning, the inputs (which are probability distributions) are not accessible in the…

Machine Learning · Computer Science 2026-01-22 Christian Fiedler

A novel strategy that combines a given collection of $\pi$-reversible Markov kernels is proposed. At each Markov transition, one of the available kernels is selected via a state-dependent probability distribution. In contrast to random-scan…

Methodology · Statistics 2022-03-30 Florian Maire , Pierre Vandekerkhove

We first propose a decentralized proximal stochastic gradient tracking method (DProxSGT) for nonconvex stochastic composite problems, with data heterogeneously distributed on multiple workers in a decentralized connected network. To save…

Optimization and Control · Mathematics 2023-03-01 Yonggui Yan , Jie Chen , Pin-Yu Chen , Xiaodong Cui , Songtao Lu , Yangyang Xu

We present a novel distributionally robust framework for dynamic programming that uses kernel methods to design feedback control policies. Specifically, we leverage kernel mean embedding to map the transition probabilities governing the…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Licio Romao , Ashish R. Hota , Alessandro Abate

The paper investigates the distributed estimation problem under low bit rate communications. Based on the signal-comparison (SC) consensus protocol under binary-valued communications, a new consensus+innovations type distributed estimation…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Jieming Ke , Xiaodong Lu , Yanlong Zhao , Ji-Feng Zhang

We propose the periodic scaled Korobov kernel (PSKK) method for nonparametric density estimation on $\mathbb{R}^d$. By first wrapping the target density into a periodic version through modulo operation and subsequently applying kernel ridge…

Statistics Theory · Mathematics 2025-12-23 Ziyang Ye , Haoyuan Tan , Xiaoqun Wang , Zhijian He

We present Midicoth, a lossless compression system that introduces a micro-diffusion denoising layer for improving probability estimates produced by adaptive statistical models. In compressors such as Prediction by Partial Matching (PPM),…

Machine Learning · Statistics 2026-03-13 Roberto Tacconelli

Gradient aggregation has long been identified as a major bottleneck in today's large-scale distributed machine learning training systems. One promising solution to mitigate such bottlenecks is gradient compression, directly reducing…

Machine Learning · Computer Science 2024-10-30 Wenchen Han , Shay Vargaftik , Michael Mitzenmacher , Brad Karp , Ran Ben Basat

The distribution regression problem encompasses many important statistics and machine learning tasks, and arises in a large range of applications. Among various existing approaches to tackle this problem, kernel methods have become a method…

Statistics Theory · Mathematics 2025-09-22 François Bachoc , Louis Béthune , Alberto González-Sanz , Jean-Michel Loubes

In this paper, we consider solving the distributed optimization problem over a multi-agent network under the communication restricted setting. We study a compressed decentralized stochastic gradient method, termed ``compressed exact…

Optimization and Control · Mathematics 2024-10-01 Kun Huang , Shi Pu

A stochastic gradient method for synchronous distributed optimization is studied. For reducing communication cost, we particularly focus on utilization of compression of communicated gradients. Several work has shown that {\it{sparsified}}…

Optimization and Control · Mathematics 2020-06-22 Tomoya Murata , Taiji Suzuki

Distributed distribution comparison aims to measure the distance between the distributions whose data are scattered across different agents in a distributed system and cannot even be shared directly among the agents. In this study, we…

Machine Learning · Computer Science 2024-07-23 Xiangfeng Wang , Hongteng Xu , Moyi Yang

Hashing method maps similar data to binary hashcodes with smaller hamming distance, and it has received a broad attention due to its low storage cost and fast retrieval speed. However, the existing limitations make the present algorithms…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Shifeng Zhang , Jianmin Li , Jinma Guo , Bo Zhang

We derive an algorithm for compression of the currents and varifolds representations of shapes, using ridge leverage score (RLS) sampling, and the theory of Nystrom approximation in Reproducing Kernel Hilbert Spaces. Our method is faster…

Numerical Analysis · Mathematics 2026-03-18 Allen Paul , Neill Campbell , Tony Shardlow

Computing low-rank approximations of kernel matrices is an important problem with many applications in scientific computing and data science. We propose methods to efficiently approximate and store low-rank approximations to kernel matrices…

Numerical Analysis · Mathematics 2025-03-14 Abraham Khan , Arvind K. Saibaba
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