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Since traditional tokenizers are isolated from a downstream task and model, they cannot output an appropriate tokenization depending on the task and model, although recent studies imply that the appropriate tokenization improves the…

计算与语言 · 计算机科学 2021-05-27 Tatsuya Hiraoka , Sho Takase , Kei Uchiumi , Atsushi Keyaki , Naoaki Okazaki

We propose a distributed algorithm based on Alternating Direction Method of Multipliers (ADMM) to minimize the sum of locally known convex functions using communication over a network. This optimization problem emerges in many applications…

最优化与控制 · 数学 2016-01-05 Ali Makhdoumi , Asuman Ozdaglar

Recent results in quantization theory show that the mean-squared expected distortion can reach a rate of convergence of $\mathcal{O}(1/n)$, where $n$ is the sample size [see, e.g., IEEE Trans. Inform. Theory 60 (2014) 7279-7292 or Electron.…

统计理论 · 数学 2015-04-02 Clément Levrard

Distributed online convex optimization (D-OCO) is a powerful paradigm for modeling distributed scenarios with streaming data. However, the communication cost between local learners and the central server is substantial in large-scale…

机器学习 · 计算机科学 2026-04-13 Sifan Yang , Dan-Yue Li , Lijun Zhang

Many practical applications require solving an optimization over large and high-dimensional data sets, which makes these problems hard to solve and prohibitively time consuming. In this paper, we propose a parallel distributed algorithm…

分布式、并行与集群计算 · 计算机科学 2012-12-03 Elad Gilboa , Phani Chavali , Peng Yang , Arye Nehorai

Communication has been seen as a significant bottleneck in industrial applications over large-scale networks. To alleviate the communication burden, sign-based optimization algorithms have gained popularity recently in both industrial and…

最优化与控制 · 数学 2021-09-07 Xiuxian Li , Kuo-Yi Lin , Li Li , Yiguang Hong , Jie Chen

It is well known that the optimal convergence rate for stochastic optimization of smooth functions is $O(1/\sqrt{T})$, which is same as stochastic optimization of Lipschitz continuous convex functions. This is in contrast to optimizing…

机器学习 · 计算机科学 2013-07-30 Mehrdad Mahdavi , Rong Jin

Decentralized optimization is effective to save communication in large-scale machine learning. Although numerous algorithms have been proposed with theoretical guarantees and empirical successes, the performance limits in decentralized…

机器学习 · 计算机科学 2022-10-17 Kun Yuan , Xinmeng Huang , Yiming Chen , Xiaohan Zhang , Yingya Zhang , Pan Pan

Decentralized optimization methods often entail information exchange between neighbors. Transmission failures can happen due to network congestion, hardware/software issues, communication outage, and other factors. In this paper, we…

机器学习 · 计算机科学 2024-01-05 Wenjing Yan , Xuanyu Cao

Distributed allocation finds applications in many scenarios including CPU scheduling, distributed energy resource management, and networked coverage control. In this paper, we propose a fast convergent optimization algorithm with a tunable…

信号处理 · 电气工程与系统科学 2024-01-30 Mohammadreza Doostmohammadian , Alireza Aghasi

Distributed optimization is an important direction of research in modern optimization theory. Its applications include large scale machine learning, distributed signal processing and many others. The paper studies decentralized min-max…

最优化与控制 · 数学 2023-09-08 Nhat Trung Nguyen , Alexander Rogozin , Dmitry Metelev , Alexander Gasnikov

Motivated by machine learning applications in networks of sensors, internet-of-things (IoT) devices, and autonomous agents, we propose techniques for distributed stochastic convex learning from high-rate data streams. The setup involves a…

机器学习 · 统计学 2019-06-11 Matthew Nokleby , Waheed U. Bajwa

Distributed transaction processing often involves multiple rounds of cross-node communications, and therefore tends to be slow. To improve performance, existing approaches convert distributed transactions into single-node transactions by…

分布式、并行与集群计算 · 计算机科学 2024-03-19 Qiushi Zheng , Zhanhao Zhao , Wei Lu , Chang Yao , Yuxing Chen , Anqun Pan , Xiaoyong Du

In this paper we propose a general framework to characterize and solve the stochastic optimization problems with multiple objectives underlying many real world learning applications. We first propose a projection based algorithm which…

机器学习 · 计算机科学 2013-07-16 Mehrdad Mahdavi , Tianbao Yang , Rong Jin

In this paper, the optimal convergence rate $O\left(N^{-1/2}\right)$ (where $N$ is the total number of iterations performed by the algorithm), without the presence of a logarithmic factor, is proved for mirror descent algorithms with…

最优化与控制 · 数学 2025-06-04 Mohammad Alkousa , Fedor Stonyakin , Asmaa Abdo , Mohammad Alcheikh

Part I of this work [2] developed the exact diffusion algorithm to remove the bias that is characteristic of distributed solutions for deterministic optimization problems. The algorithm was shown to be applicable to a larger set of…

最优化与控制 · 数学 2017-12-27 Kun Yuan , Bicheng Ying , Xiaochuan Zhao , Ali H. Sayed

This paper studies distributed stochastic nonconvex optimization problems with compressed communication and differential privacy, in which each agent aims to minimize the sum of all agents' cost functions by using local compressed…

最优化与控制 · 数学 2026-03-24 Antai Xie , Xiaoqiang Ren , Xinlei Yi , Tao Yang , Xiaofan Wang

In this paper, we study the optimal convergence rate for distributed convex optimization problems in networks. We model the communication restrictions imposed by the network as a set of affine constraints and provide optimal complexity…

最优化与控制 · 数学 2018-11-16 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. Recent advances using the distributed gradient…

最优化与控制 · 数学 2019-05-14 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Distributed optimization is the standard way of speeding up machine learning training, and most of the research in the area focuses on distributed first-order, gradient-based methods. Yet, there are settings where some…

机器学习 · 计算机科学 2025-11-03 Matin Ansaripour , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh