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Recently, it was shown that if multiplicative weights are assigned to the edges of a Tanner graph used in belief propagation decoding, it is possible to use deep learning techniques to find values for the weights which improve the…

信息论 · 计算机科学 2017-07-31 Loren Lugosch , Warren J. Gross

Regularized MDPs serve as a smooth version of original MDPs. However, biased optimal policy always exists for regularized MDPs. Instead of making the coefficient{\lambda}of regularized term sufficiently small, we propose an adaptive…

机器学习 · 计算机科学 2020-11-03 Wenhao Yang , Xiang Li , Guangzeng Xie , Zhihua Zhang

This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

最优化与控制 · 数学 2013-12-03 João F. C. Mota

Min-Sum (MS) decoding is a popular low-complexity alternative to belief propagation (BP), retaining only the minimum incoming message magnitude during check-node (CN) processing, at the cost of systematic message magnitude overestimation.…

We present an algorithm based on continuation techniques that can be applied to solve numerically minimization problems with equality constraints. We focus on problems with a great number of local minima which are hard to obtain by local…

数值分析 · 数学 2019-09-17 Elisabete Alberdi , Mikel Antoñana , Joseba Makazaga , Ander Murua

In this paper, we focus on the decentralized composite optimization for convex functions. Because of advantages such as robust to the network and no communication bottle-neck in the central server, the decentralized optimization has…

最优化与控制 · 数学 2024-07-16 Haishan Ye , Xiangyu Chang

We enhance coarsely quantized LDPC decoding by reusing computed check node messages from previous iterations. Typically, variable and check nodes update and replace old messages every iteration. We show that, under coarse quantization,…

信息论 · 计算机科学 2025-01-22 Philipp Mohr , Gerhard Bauch

Several interesting problems in multi-robot systems can be cast in the framework of distributed optimization. Examples include multi-robot task allocation, vehicle routing, target protection, and surveillance. While the theoretical analysis…

机器人学 · 计算机科学 2025-04-03 Andrea Testa , Guido Carnevale , Giuseppe Notarstefano

Optimization is finding the best solution, which mathematically amounts to locating the global minimum of some cost function. Optimization is traditionally automated with digital or quantum computers, each having their limitations and none…

统计力学 · 物理学 2021-11-16 Natalia B. Janson , Christopher J. Marsden

In this paper, we study a class of problems where the sum of truncated convex functions is minimized. In statistical applications, they are commonly encountered when $\ell_0$-penalized models are fitted and usually lead to NP-Hard…

统计计算 · 统计学 2017-06-28 Tzu-Ying Liu , Hui Jiang

Linear Programming (LP) decoding of Low-Density Parity-Check (LDPC) codes has attracted much attention in the research community in the past few years. The aim of LP decoding is to develop an algorithm which has error-correcting performance…

信息论 · 计算机科学 2010-10-05 Mayur Punekar , Mark F. Flanagan

We introduce a novel algorithm for decoding binary linear codes by linear programming. We build on the LP decoding algorithm of Feldman et al. and introduce a post-processing step that solves a second linear program that reweights the…

信息论 · 计算机科学 2011-03-16 Amin Khajehnejad , Alexandros G. Dimakis , Babak Hassibi , Benjamin Vigoda , William Bradley

The difference-of-convex algorithm (DCA) and its variants are the most popular methods to solve the difference-of-convex optimization problem. Each iteration of them is reduced to a convex optimization problem, which generally needs to be…

最优化与控制 · 数学 2025-05-19 Songnian He , Qiao-Li Dong , Michael Th. Rassias

Classical quickest change detection algorithms require modeling pre-change and post-change distributions. Such an approach may not be feasible for various machine learning models because of the complexity of computing the explicit…

机器学习 · 统计学 2023-02-02 Suya Wu , Enmao Diao , Taposh Banerjee , Jie Ding , Vahid Tarokh

The question of what can be computed, and how efficiently, are at the core of computer science. Not surprisingly, in distributed systems and networking research, an equally fundamental question is what can be computed in a…

分布式、并行与集群计算 · 计算机科学 2016-04-01 Fabian Kuhn , Thomas Moscibroda , Roger Wattenhofer

Code super-optimization is the task of transforming any given program to a more efficient version while preserving its input-output behaviour. In some sense, it is similar to the paraphrase problem from natural language processing where the…

机器学习 · 计算机科学 2017-06-29 Rudy Bunel , Alban Desmaison , M. Pawan Kumar , Philip H. S. Torr , Pushmeet Kohli

Despite its reduced complexity, lattice reduction-aided decoding exhibits a widening gap to maximum-likelihood (ML) performance as the dimension increases. To improve its performance, this paper presents randomized lattice decoding based on…

信息论 · 计算机科学 2016-11-17 Shuiyin Liu , Cong Ling , Damien Stehlé

We propose a clustering-based iterative algorithm to solve certain optimization problems in machine learning, where we start the algorithm by aggregating the original data, solving the problem on aggregated data, and then in subsequent…

机器学习 · 统计学 2017-01-23 Young Woong Park , Diego Klabjan

This paper presents a set of continuous-time distributed algorithms that solve unconstrained, separable, convex optimization problems over undirected networks with fixed topologies. The algorithms are developed using a Lyapunov function…

系统与控制 · 计算机科学 2011-09-27 Jie Lu , Choon Yik Tang

Nowadays, parallel computing is ubiquitous in several application fields, both in engineering and science. The computations rely on the floating-point arithmetic specified by the IEEE754 Standard. In this context, an elementary brick of…

计算与语言 · 计算机科学 2022-05-12 Farah Benmouhoub , Pierre-Loïc Garoche , Matthieu Martel