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In modern parametric model training, full-batch gradient descent (and its variants) suffers due to progressively stronger biasing towards the exact realization of training data; this drives the systematic ``generalization gap'', where the…

Statistics Theory · Mathematics 2026-05-01 Max Lovig

In this paper, we consider the unconstrained distributed optimization problem, in which the exchange of information in the network is captured by a directed graph topology, thus, nodes can only communicate with their neighbors.…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

We analyze the convergence of decentralized consensus algorithm with delayed gradient information across the network. The nodes in the network privately hold parts of the objective function and collaboratively solve for the consensus…

Optimization and Control · Mathematics 2018-01-17 Benjamin Sirb , Xiaojing Ye

A common goal in many research areas is to reconstruct an unknown signal x from noisy linear measurements. Approximate message passing (AMP) is a class of low-complexity algorithms that can be used for efficiently solving such…

Signal Processing · Electrical Eng. & Systems 2020-03-27 Hangjin Liu , Cynthia Rush , Dror Baron

We propose Graph Tree Networks (GTNets), a deep graph learning architecture with a new general message passing scheme that originates from the tree representation of graphs. In the tree representation, messages propagate upward from the…

Machine Learning · Computer Science 2022-04-28 Nan Wu , Chaofan Wang

Approximate message passing (AMP) is an effective iterative sparse recovery algorithm for linear system models. Its performance is characterized by the state evolution (SE) which is a simple scalar recursion. However, depending on a…

Signal Processing · Electrical Eng. & Systems 2018-04-02 Kazushi Mimura

In this paper, we propose a practical receiver for multicarrier signals subjected to a strong memoryless nonlinearity. The receiver design is based on a generalized approximate message passing (GAMP) framework, and this allows real-time…

Information Theory · Computer Science 2017-03-07 Sergey V. Zhidkov

We analyse the learning performance of Distributed Gradient Descent in the context of multi-agent decentralised non-parametric regression with the square loss function when i.i.d. samples are assigned to agents. We show that if agents hold…

Machine Learning · Statistics 2019-11-14 Dominic Richards , Patrick Rebeschini

A distributed average consensus algorithm in which every sensor transmits with bounded peak power is proposed. In the presence of communication noise, it is shown that the nodes reach consensus asymptotically to a finite random variable…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-15 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

This work considers distributed sensing and transmission of sporadic random samples. Lower bounds are derived for the reconstruction error of a single normally or uniformly-distributed finite-dimensional vector imperfectly measured by a…

Information Theory · Computer Science 2015-11-20 Ayşe Ünsal , Raymond Knopp

Over the last decade or so, Approximate Message Passing (AMP) algorithms have become extremely popular in various structured high-dimensional statistical problems. The fact that the origins of these techniques can be traced back to notions…

Statistics Theory · Mathematics 2021-05-11 Oliver Y. Feng , Ramji Venkataramanan , Cynthia Rush , Richard J. Samworth

We consider a generic decentralized constrained optimization problem over static, directed communication networks, where each agent has exclusive access to only one convex, differentiable, local objective term and one convex constraint set.…

Optimization and Control · Mathematics 2023-11-09 Firooz Shahriari-Mehr , Ashkan Panahi

Deep models have improved state-of-the-art for both supervised and unsupervised learning. For example, deep embedded clustering (DEC) has greatly improved the unsupervised clustering performance, by using stacked autoencoders for…

Parametric message passing (MP) is a promising technique that provides reliable marginal probability distributions for distributed cooperative positioning (DCP) based on factor graphs (FG), while maintaining minimal computational…

Signal Processing · Electrical Eng. & Systems 2025-05-20 Yue Cao , Shaoshi Yang , Zhiyong Feng

We consider communication over the Gaussian multiple-access channel in the regime where the number of users grows linearly with the codelength. In this regime, schemes based on sparse superposition coding can achieve a near-optimal tradeoff…

Information Theory · Computer Science 2025-06-04 Xiaoqi Liu , Kuan Hsieh , Ramji Venkataramanan

When recovering a sparse signal from noisy compressive linear measurements, the distribution of the signal's non-zero coefficients can have a profound effect on recovery mean-squared error (MSE). If this distribution was apriori known, then…

Information Theory · Computer Science 2015-06-05 Jeremy P. Vila , Philip Schniter

We propose a new decentralized average consensus algorithm with compressed communication that scales linearly with the network size n. We prove that the proposed method converges to the average of the initial values held locally by the…

Optimization and Control · Mathematics 2021-09-16 Mohammad Taha Toghani , César A. Uribe

We propose regularized approximate message passing (RAMP), a low-complexity algorithm for discrete signal detection in overloaded multiple-input multiple-output (MIMO) systems where the number of transmit antennas exceeds the number of…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Shreesal Shrestha , Getuar Rexhepi , Kuranage Roche Rayan Ranasinghe , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu

Network-based Global Navigation Satellite Systems (GNSS) underpin critical infrastructure and autonomous systems, yet typically rely on centralized processing hubs that limit scalability, resilience, and latency. Here we report a…

Signal Processing · Electrical Eng. & Systems 2025-12-24 Xue Xian Zheng , Xing Liu , Tareq Y. Al-Naffouri

This paper proposes two distinct contributions to econometric analysis of large information sets and structural instabilities. First, it treats a regression model with time-varying coefficients, stochastic volatility and exogenous…

Methodology · Statistics 2020-04-27 Dimitris Korobilis