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Distributed estimation over networks draws much attraction in recent years. In many situations, due to imperfect information communication among nodes, the performance of traditional diffusion adaptive algorithms such as the diffusion LMS…

Information Theory · Computer Science 2018-02-15 Yicong He , Fei Wang , Shiyuan Wang , Pengju Ren , Badong Chen

We provide the first global model recovery results for the IRLS (iteratively reweighted least squares) heuristic for robust regression problems. IRLS is known to offer excellent performance, despite bad initializations and data corruption,…

Machine Learning · Computer Science 2020-06-26 Bhaskar Mukhoty , Govind Gopakumar , Prateek Jain , Purushottam Kar

This work presents joint iterative power allocation and interference suppression algorithms for spread spectrum networks which employ multiple hops and the amplify-and-forward cooperation strategy for both the uplink and the downlink. We…

Information Theory · Computer Science 2013-01-03 Rodrigo C. de Lamare

We consider the simultaneous deblurring of a set of noisy images whose point spread functions are different but known and spatially invariant, and the noise is Gaussian. Currently available iterative algorithms that are typically used for…

Astrophysics · Physics 2009-11-10 R. Vio , J. Nagy , L. Tenorio , W. Wamsteker

Iterative algorithms are ubiquitous in the field of data mining. Widely known examples of such algorithms are the least mean square algorithm, backpropagation algorithm of neural networks. Our contribution in this paper is an improvement…

Machine Learning · Computer Science 2013-10-09 Rangeet Mitra , Amit Kumar Mishra

This paper proposes two distributed random reshuffling methods, namely Gradient Tracking with Random Reshuffling (GT-RR) and Exact Diffusion with Random Reshuffling (ED-RR), to solve the distributed optimization problem over a connected…

Optimization and Control · Mathematics 2025-03-18 Kun Huang , Linli Zhou , Shi Pu

We present a novel iterative algorithm for approximating the linear least squares solution with low complexity. After a motivation of the algorithm we discuss the algorithm's properties including its complexity, and we present theoretical…

Data Structures and Algorithms · Computer Science 2016-11-15 Michael Lunglmayr , Christoph Unterrieder , Mario Huemer

Iteratively reweighted least squares (IRLS) is a widely-used method in machine learning to estimate the parameters in the generalised linear models. In particular, IRLS for L1 minimisation under the linear model provides a closed-form…

Cryptography and Security · Computer Science 2016-05-25 Mijung Park , Max Welling

This paper provides a least squares formulation for the training of a 2-layer convolutional neural network using quadratic activation functions, a 2-norm loss function, and no regularization term. Using this method, an analytic expression…

Machine Learning · Computer Science 2024-11-18 Zachary Yetman Van Egmond , Luis Rodrigues

The non-smooth finite-sum minimization is a fundamental problem in machine learning. This paper develops a distributed stochastic proximal-gradient algorithm with random reshuffling to solve the finite-sum minimization over time-varying…

Optimization and Control · Mathematics 2022-10-11 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen , Lihua Xie

Parallel applications with irregular and time-varying workloads often suffer from load imbalance. Dynamic load balancing techniques address this challenge by redistributing work during execution. We present a new type of distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-25 Maya Taylor , Kavitha Chandrasekar , Laxmikant V. Kale

This paper studies the adaptive optimal stationary control of continuous-time linear stochastic systems with both additive and multiplicative noises, using reinforcement learning techniques. Based on policy iteration, a novel off-policy…

Systems and Control · Electrical Eng. & Systems 2021-12-07 Bo Pang , Zhong-Ping Jiang

Sparse structures are widely recognized and utilized in channel estimation. Two typical mechanisms, namely proportionate updating (PU) and zero-attracting (ZA) techniques, achieve better performance, but their computational complexity are…

Signal Processing · Electrical Eng. & Systems 2023-05-08 Zhen Qin

Given a learning task where the data is distributed among several parties, communication is one of the fundamental resources which the parties would like to minimize. We present a distributed boosting algorithm which is resilient to a…

Machine Learning · Computer Science 2022-06-14 Yuval Filmus , Idan Mehalel , Shay Moran

In this work, we propose adaptive link selection strategies for distributed estimation in diffusion-type wireless networks. We develop an exhaustive search-based link selection algorithm and a sparsity-inspired link selection algorithm that…

Information Theory · Computer Science 2014-01-17 Songcen Xu , Rodrigo C. de Lamare , H. Vincent Poor

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

We propose a Binary Robust Least Squares (BRLS) model that encompasses key robust least squares formulations, such as those involving uncertain binary labels and adversarial noise constrained within a hypercube. We show that the geometric…

Optimization and Control · Mathematics 2025-10-14 Yang Zhou , Xiaojun Chen

In this paper, an algorithm for estimation and compensation of second-order nonlinearity in wireless sensor setwork (WSN) in distributed estimation framework is proposed. First, the effect of second-order nonlinearity on the performance of…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Hadi Zayyani , Mehdi Korki

A cumbersome operation in numerical analysis and linear algebra, optimization, machine learning and engineering algorithms; is inverting large full-rank matrices which appears in various processes and applications. This has both numerical…

Numerical Analysis · Mathematics 2022-06-24 Neophytos Charalambides , Mert Pilanci , Alfred O. Hero

Scaled sparse linear regression jointly estimates the regression coefficients and noise level in a linear model. It chooses an equilibrium with a sparse regression method by iteratively estimating the noise level via the mean residual…

Machine Learning · Statistics 2012-06-22 Tingni Sun , Cun-Hui Zhang