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Related papers: Federated Sinkhorn

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We study Sinkhorn's algorithm for solving the entropically regularized optimal transport problem. Its iterate $\pi_{t}$ is shown to satisfy $H(\pi_{t}|\pi_{*})+H(\pi_{*}|\pi_{t})=O(t^{-1})$ where $H$ denotes relative entropy and $\pi_{*}$…

Optimization and Control · Mathematics 2025-04-08 Promit Ghosal , Marcel Nutz

In protocols of distributed quantum information processing, a network of bilateral entanglement is a key resource for efficient communication and computation. We propose a model, efficient both in finite and infinite Hilbert spaces, that…

Quantum Physics · Physics 2007-05-23 H. McAneney , M. Paternostro , M. S. Kim

A central server needs to perform statistical inference based on samples that are distributed over multiple users who can each send a message of limited length to the center. We study problems of distribution learning and identity testing…

Data Structures and Algorithms · Computer Science 2020-10-02 Jayadev Acharya , Clément L. Canonne , Himanshu Tyagi

Federated learning protocols require repeated synchronization between clients and a central server, with convergence rates depending on learning rates, data heterogeneity, and client sampling. This paper asks whether iterative communication…

Machine Learning · Computer Science 2026-01-14 Zahir Alsulaimawi

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithms for addition, elementwise multiplication, computing norms…

Numerical Analysis · Mathematics 2021-09-08 Hussam Al Daas , Grey Ballard , Peter Benner

Distributed-memory implementations of numerical optimization algorithm, such as stochastic gradient descent (SGD), require interprocessor communication at every iteration of the algorithm. On modern distributed-memory clusters where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Aditya Devarakonda , Ramakrishnan Kannan

Cooperative Intelligent Transport System (C-ITS) is a promising network to provide safety, efficiency, sustainability, and comfortable services for automated vehicles and road infrastructures by taking advantages from participants. However,…

Machine Learning · Computer Science 2021-10-19 Qimei Chen , Zehua You , Hao Jiang

Federated learning (FL) systems enable multiple clients to train a machine learning model iteratively through synchronously exchanging the intermediate model weights with a single server. The scalability of such FL systems can be limited by…

Machine Learning · Computer Science 2024-06-21 Yuncong Zuo , Bart Cox , Lydia Y. Chen , Jérémie Decouchant

Entropic regularization provides a generalization of the original optimal transport problem. It introduces a penalty term defined by the Kullback-Leibler divergence, making the problem more tractable via the celebrated Sinkhorn algorithm.…

Optimization and Control · Mathematics 2023-01-04 Dávid Terjék , Diego González-Sánchez

This paper investigates matrix scaling processes in the context of local normalization algorithms and their convergence behavior. Starting from the classical Sinkhorn algorithm, the authors introduce a generalization where only a single row…

Optimization and Control · Mathematics 2025-06-11 Giacomo Aletti , Giovanni Naldi

Federated learning opens a number of research opportunities due to its high communication efficiency in distributed training problems within a star network. In this paper, we focus on improving the communication efficiency for fully…

Machine Learning · Computer Science 2019-12-11 Songtao Lu , Yawen Zhang , Yunlong Wang , Christina Mack

We present a binary routing tree protocol for distributed hash table overlays. Using this protocol each peer can independently route messages to its parent and two descendants on the fly without any maintenance, global context, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-15 Ran Wolff

The distribution of entangled states is a core task for quantum networks facilitating quantum communication, and the use of multipartite entangled states comes with its own set of considerations. In this work, we analyze a quantum…

Quantum Physics · Physics 2026-05-19 Janka Memmen , Julia Kunzelmann , Nathan Walk , Jens Eisert , Julius Wallnöfer

In distributed machine learning, where agents collaboratively learn from diverse private data sets, there is a fundamental tension between consensus and optimality. In this paper, we build on recent algorithmic progresses in distributed…

Machine Learning · Statistics 2018-05-31 Zhanhong Jiang , Aditya Balu , Chinmay Hegde , Soumik Sarkar

Communication has become a first-order bottleneck in large-cale GPU workloads, and existing distributed compilers address it mainly by overlapping whole compute and communication kernels at the stream level. This coarse granularity incurs…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-06 Xinwei Qiang , Yue Guan , Zhengding Hu , Keren Zhou , Yufei Ding , Adnan Aziz

Optimal transport (OT) distances are finding evermore applications in machine learning and computer vision, but their wide spread use in larger-scale problems is impeded by their high computational cost. In this work we develop a family of…

Machine Learning · Statistics 2018-03-06 Brahim Khalil Abid , Robert M. Gower

In this work we propose a batch version of the Greenkhorn algorithm for multimarginal regularized optimal transport problems. Our framework is general enough to cover, as particular cases, some existing algorithms like Sinkhorn and…

Machine Learning · Statistics 2021-12-07 Vladimir Kostic , Saverio Salzo , Massimilano Pontil

In this paper, we propose an accelerated version for the Sinkhorn algorithm, which is the reference method for computing the solution to Entropic Optimal Transport. Its main draw-back is the exponential slow-down of convergence as the…

Numerical Analysis · Mathematics 2025-06-19 Reda Chhaibi , Serge Gratton , Samuel Vaiter

Federated Learning enables one to jointly train a machine learning model across distributed clients holding sensitive datasets. In real-world settings, this approach is hindered by expensive communication and privacy concerns. Both of these…

Machine Learning · Statistics 2021-10-19 Constance Beguier , Mathieu Andreux , Eric W. Tramel

Subgraph pattern detection aims to uncover complex interaction structures in graphs. However, state-of-the-art graph neural network (GNN)-based solutions assume centralized access to the entire graph. When graphs are instead distributed…

Machine Learning · Computer Science 2026-05-08 Selin Ceydeli , Rui Wang , Kubilay Atasu
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