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This paper studies a distributed multi-agent convex optimization problem. The system comprises multiple agents in this problem, each with a set of local data points and an associated local cost function. The agents are connected to a…

Optimization and Control · Mathematics 2021-08-20 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

This paper proposes an accelerated proximal point method for maximally monotone operators. The proof is computer-assisted via the performance estimation problem approach. The proximal point method includes various well-known convex…

Optimization and Control · Mathematics 2021-03-25 Donghwan Kim

We present a mixed-precision implementation of the high-order discontinuous Galerkin method with ADER time stepping (ADER-DG) for solving hyperbolic systems of partial differential equations (PDEs) in the hyperbolic PDE engine ExaHyPE. The…

Numerical Analysis · Mathematics 2025-04-10 Marc Marot-Lassauzaie , Michael Bader

We present an iterative algorithm for computing an invariant subspace associated with the algebraically smallest eigenvalues of a large sparse or structured Hermitian matrix A. We are interested in the case in which the dimension of the…

Numerical Analysis · Mathematics 2015-06-22 Eugene Vecharynski , Chao Yang , John E. Pask

Many problems in science and engineering involve, as part of their solution process, the consideration of a separable function which is the sum of two convex functions, one of them possibly non-smooth. Recently a few works have discussed…

Optimization and Control · Mathematics 2017-03-06 Daniel Reem , Alvaro De Pierro

The long-term average performance of the MISO downlink channel, with a large number of users compared to transmit antennas of the BS, depends on the interference management which necessitates the joint design problem of scheduling and…

Signal Processing · Electrical Eng. & Systems 2019-02-14 Ashok Bandi , Bhavani Shankar Mysore R , Symeon Chatzinotas , Björn Ottersten

We propose a new deflation strategy to accelerate the convergence of the preconditioned conjugate gradient(PCG) method for solving parametric large-scale linear systems of equations. Unlike traditional deflation techniques that rely on…

Numerical Analysis · Mathematics 2025-08-04 Alena Kopaničáková , Youngkyu Lee , George Em Karniadakis

This paper proposes a novel proximal difference-of-convex (DC) algorithm enhanced with extrapolation and aggressive non-monotone line search for solving non-convex optimization problems. We introduce an adaptive conservative update strategy…

Optimization and Control · Mathematics 2026-02-18 Ran Zhang , Hongpeng Sun

BCI algorithm development has long been hampered by two major issues: small sample sets and a lack of reproducibility. We offer a solution to both of these problems via a software suite that streamlines both the issues of finding and…

Human-Computer Interaction · Computer Science 2018-09-11 Vinay Jayaram , Alexandre Barachant

Point cloud analytics is poised to become a key workload on battery-powered embedded and mobile platforms in a wide range of emerging application domains, such as autonomous driving, robotics, and augmented reality, where efficiency is…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 Yu Feng , Boyuan Tian , Tiancheng Xu , Paul Whatmough , Yuhao Zhu

Due to its optimal complexity, the multigrid (MG) method is one of the most popular approaches for solving large-scale linear systems arising from the discretization of partial differential equations. However, the parallel implementation of…

Numerical Analysis · Mathematics 2025-02-27 Hardik Kothari , Maria Giuseppina Chiara Nestola , Marco Favino , Rolf Krause

This paper aims to investigate the effectiveness of the recently proposed Boosted Difference of Convex functions Algorithm (BDCA) when applied to clustering with constraints and set clustering with constraints problems. This is the first…

Optimization and Control · Mathematics 2023-10-24 Tuyen Tran , Kate Figenschou , Phan Tu Vuong

We consider the problem of iteratively solving large and sparse double saddle-point systems arising from the stationary Stokes-Darcy equations in two dimensions, discretized by the Marker-and-Cell (MAC) finite difference method. We analyze…

Numerical Analysis · Mathematics 2023-02-28 Chen Greif , Yunhui He

This paper considers the problem of multi-agent distributed optimization. In this problem, there are multiple agents in the system, and each agent only knows its local cost function. The objective for the agents is to collectively compute a…

Optimization and Control · Mathematics 2020-03-31 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

Integrated sensing and communications (ISAC), radar, and beamforming require real-time, high-resolution estimation algorithms to determine delay-Doppler values of specular paths within the wireless propagation channel. Our contribution is…

Signal Processing · Electrical Eng. & Systems 2026-01-22 Lorenz Mohr , Michael Döbereiner , Steffen Schieler , Joerg Robert , Christian Schneider , Sebastian Semper , Reiner S. Thomä

Nonlinear model predictive control~(NMPC) generally requires the solution of a non-convex optimization problem at each sampling instant under strict timing constraints, based on a set of differential equations that can often be stiff and/or…

Optimization and Control · Mathematics 2019-03-22 Pedro Hespanhol , Rien Quirynen

Many Bayesian inference problems involve target distributions whose density functions are computationally expensive to evaluate. Replacing the target density with a local approximation based on a small number of carefully chosen density…

Computation · Statistics 2022-07-13 Andrew D. Davis , Youssef Marzouk , Aaron Smith , Natesh Pillai

We present an accelerated algorithm for the solution of static Hamilton-Jacobi-Bellman equations related to optimal control problems. Our scheme is based on a classic policy iteration procedure, which is known to have superlinear…

Optimization and Control · Mathematics 2016-02-22 Alessandro Alla , Maurizio Falcone , Dante Kalise

We present a multiway fusion algorithm capable of directly processing uncertain pairwise affinities. In contrast to existing works that require initial pairwise associations, our MIXER algorithm improves accuracy by leveraging the…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Parker C. Lusk , Kaveh Fathian , Jonathan P. How

We study the problem of minimizing the sum of potentially non-differentiable convex cost functions with partially overlapping dependences in an asynchronous manner, where communication in the network is not coordinated. We study the…

Optimization and Control · Mathematics 2021-02-17 Yankai Lin , Iman Shames , Dragan Nesic
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