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We introduce a novel technique for ``lifting'' dimension lower bounds for linear sketches in the real-valued setting to dimension lower bounds for linear sketches with polynomially-bounded integer entries when the input is a…

Data Structures and Algorithms · Computer Science 2025-03-26 Elena Gribelyuk , Honghao Lin , David P. Woodruff , Huacheng Yu , Samson Zhou

Communication on heterogeneous edge networks is a fundamental bottleneck in Federated Learning (FL), restricting both model capacity and user participation. To address this issue, we introduce two novel strategies to reduce communication…

Machine Learning · Computer Science 2019-01-09 Sebastian Caldas , Jakub Konečny , H. Brendan McMahan , Ameet Talwalkar

We introduce the problem of hidden Hamiltonian cycle recovery, where there is an unknown Hamiltonian cycle in an $n$-vertex complete graph that needs to be inferred from noisy edge measurements. The measurements are independent and…

Discrete Mathematics · Computer Science 2018-04-18 Vivek Bagaria , Jian Ding , David Tse , Yihong Wu , Jiaming Xu

In this paper, we study a number of well-known combinatorial optimization problems that fit in the following paradigm: the input is a collection of (potentially inconsistent) local relationships between the elements of a ground set (e.g.,…

Data Structures and Algorithms · Computer Science 2021-02-24 Vaggos Chatziafratis , Mohammad Mahdian , Sara Ahmadian

Federated learning is a popular distributed machine learning paradigm with enhanced privacy. Its primary goal is learning a global model that offers good performance for the participants as many as possible. The technology is rapidly…

Machine Learning · Computer Science 2020-08-11 Ang Li , Jingwei Sun , Binghui Wang , Lin Duan , Sicheng Li , Yiran Chen , Hai Li

Detecting heavy hitters, which are flows exceeding a specified threshold, is crucial for network measurement, but it faces challenges due to increasing throughput and memory constraints. Existing sketch-based solutions, particularly those…

Networking and Internet Architecture · Computer Science 2024-08-26 Xilai Liu , Xinyi Zhang , Bingqing Liu , Tao Li , Tong Yang , Gaogang Xie

We present a new approach for computing compact sketches that can be used to approximate the inner product between pairs of high-dimensional vectors. Based on the Weighted MinHash algorithm, our approach admits strong accuracy guarantees…

In this paper we consider the problem of online stochastic optimization of a locally smooth function under bandit feedback. We introduce the high-confidence tree (HCT) algorithm, a novel any-time $\mathcal{X}$-armed bandit algorithm, and…

Machine Learning · Statistics 2014-05-20 Mohammad Gheshlaghi Azar , Alessandro Lazaric , Emma Brunskill

We propose a novel algorithm for solving the composite Federated Learning (FL) problem. This algorithm manages non-smooth regularization by strategically decoupling the proximal operator and communication, and addresses client drift without…

Machine Learning · Computer Science 2023-09-06 Jiaojiao Zhang , Jiang Hu , Mikael Johansson

In this paper, we study the fundamental limits of hierarchical secure aggregation under unreliable communication. We consider a hierarchical network where each client connects to multiple relays, and both client-to-relay and relay-to-server…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Shudi Weng , Xiang Zhang , Yizhou Zhao , Giuseppe Caire , Ming Xiao , Mikael Skoglund

Federated Learning (FL) incurs high communication overhead, which can be greatly alleviated by compression for model updates. Yet the tradeoff between compression and model accuracy in the networked environment remains unclear and, for…

Machine Learning · Computer Science 2021-12-14 Laizhong Cui , Xiaoxin Su , Yipeng Zhou , Jiangchuan Liu

We study the problem of learning latent community structure from multiple correlated networks, focusing on edge-correlated stochastic block models with two balanced communities. Recent work of Gaudio, R\'acz, and Sridhar (COLT 2022)…

Statistics Theory · Mathematics 2024-12-05 Miklós Z. Rácz , Jifan Zhang

We consider the problem of online stochastic optimization in a distributed setting with $M$ clients connected through a central server. We develop a distributed online learning algorithm that achieves order-optimal cumulative regret with…

Machine Learning · Computer Science 2023-06-07 Sudeep Salgia , Qing Zhao , Tamir Gabay , Kobi Cohen

Optimization-based solvers play a central role in a wide range of signal processing and communication tasks. However, their applicability in latency-sensitive systems is limited by the sequential nature of iterative methods and the high…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Dvir Avrahami , Amit Milstein , Caroline Chaux , Tirza Routtenberg , Nir Shlezinger

Sketch techniques have been extensively studied in recent years and are especially well-suited to data streaming scenarios, where the sketch summary is updated quickly and compactly. However, it is challenging to recover the current state…

Machine Learning · Computer Science 2026-03-17 Xinyu Yuan , Yan Qiao , Zonghui Wang , Wenzhi Chen

Linear regression is a fundamental and primitive problem in supervised machine learning, with applications ranging from epidemiology to finance. In this work, we propose methods for speeding up distributed linear regression. We do so by…

Information Theory · Computer Science 2024-04-02 Neophytos Charalambides , Hessam Mahdavifar , Mert Pilanci , Alfred O. Hero

While numerous works have focused on devising efficient algorithms for reinforcement learning (RL) with uniformly bounded rewards, it remains an open question whether sample or time-efficient algorithms for RL with large state-action space…

Machine Learning · Computer Science 2024-03-08 Jiayi Huang , Han Zhong , Liwei Wang , Lin F. Yang

Uniform bounds on sketched inner products of vectors or matrices underpin several important computational and statistical results in machine learning and randomized algorithms, including the Johnson-Lindenstrauss (J-L) lemma, the Restricted…

Machine Learning · Computer Science 2025-09-29 Rohan Deb , Qiaobo Li , Mayank Shrivastava , Arindam Banerjee

Imagine handling collisions in a hash table by storing, in each cell, the bit-wise exclusive-or of the set of keys hashing there. This appears to be a terrible idea: For $\alpha n$ keys and $n$ buckets, where $\alpha$ is constant, we expect…

Data Structures and Algorithms · Computer Science 2022-11-08 Jakob Bæk Tejs Houen , Rasmus Pagh , Stefan Walzer

In federated learning (FL), a number of devices train their local models and upload the corresponding parameters or gradients to the base station (BS) to update the global model while protecting their data privacy. However, due to the…

Machine Learning · Computer Science 2022-05-04 Zhigang Yan , Dong Li , Zhichao Zhang , Jiguang He