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In this paper, we deal with the Front Steepest Descent algorithm for multi-objective optimization. We point out that the algorithm from the literature is often incapable, by design, of spanning large portions of the Pareto front. We thus…

Optimization and Control · Mathematics 2023-03-17 Matteo Lapucci , Pierluigi Mansueto

The performance of image super-resolution relies heavily on the accuracy of degradation information, especially under blind settings. Due to the absence of true degradation models in real-world scenarios, previous methods learn distinct…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Hongda Liu , Longguang Wang , Ye Zhang , Kaiwen Xue , Shunbo Zhou , Yulan Guo

We introduce a proximal version of dual coordinate ascent method. We demonstrate how the derived algorithmic framework can be used for numerous regularized loss minimization problems, including $\ell_1$ regularization and structured output…

Machine Learning · Statistics 2012-11-13 Shai Shalev-Shwartz , Tong Zhang

We investigate modified steepest descent methods coupled with a loping Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent regularization…

Numerical Analysis · Mathematics 2008-08-03 A. De Cezaro , M. Haltmeier , A. Leitao , O. Scherzer

We consider the minimax setup for the two-armed bandit problem as applied to data processing if there are two alternative processing methods available with different a priori unknown efficiencies. One should determine the most effective…

Statistics Theory · Mathematics 2017-05-30 Alexander Kolnogorov , Alexander Nazin , Dmitry Shiyan

This work proposes a blind adaptive reduced-rank scheme and constrained constant-modulus (CCM) adaptive algorithms for interference suppression in wireless communications systems. The proposed scheme and algorithms are based on a two-stage…

Information Theory · Computer Science 2013-01-10 Rodrigo C. de Lamare , Raimundo Sampaio-Neto , Martin Haardt

In this paper, deep learning (DL)-aided data detection of spatial multiplexing (SMX) multiple-input multiple-output (MIMO) transmission with index modulation (IM) (Deep-SMX-IM) has been proposed. Deep-SMX-IM has been constructed by…

Signal Processing · Electrical Eng. & Systems 2022-02-08 Merve Turhan , Ersin Ozturk , Hakan Ali Cirpan

Vision Mambas (ViMs) achieve remarkable success with sub-quadratic complexity, but their efficiency remains constrained by quadratic token scaling with image resolution. While existing methods address token redundancy, they overlook ViMs'…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Yan Wen , Peng Ye , Lin Zhang , Baopu Li , Jiakang Yuan , Yaoxin Yang , Tao Chen

This paper addresses the question of what exactly is an analogue of the preconditioned steepest descent (PSD) algorithm in the case of a symmetric indefinite system with an SPD preconditioner. We show that a basic PSD-like scheme for an…

Numerical Analysis · Mathematics 2017-01-12 Eugene Vecharynski , Andrew Knyazev

Recent work by Woodworth et al. (2020) shows that the optimization dynamics of gradient descent for overparameterized problems can be viewed as low-dimensional dual dynamics induced by a mirror map, explaining the implicit regularization…

Machine Learning · Computer Science 2024-10-21 Shuyang Wang , Diego Klabjan

We address the problem of simultaneously recovering a sequence of point source signals from observations limited to the low-frequency end of the spectrum of their summed convolution, where the point spread functions (PSFs) are unknown. By…

Information Theory · Computer Science 2024-07-16 Jinchi Chen

Different gradient-based methods for optimizing overparameterized models can all achieve zero training error yet converge to distinctly different solutions inducing different generalization properties. We provide the first complete…

Machine Learning · Computer Science 2025-12-08 Chen Fan , Mark Schmidt , Christos Thrampoulidis

In frequency division duplex (FDD) massive MIMO systems, a major challenge lies in acquiring the downlink channel state information}\ (CSI) at the base station (BS) from limited feedback sent by the user equipment (UE). To tackle this…

Signal Processing · Electrical Eng. & Systems 2025-09-11 Rajesh Shrestha , Mingjie Shao , Mingyi Hong , Wing-Kin Ma , Xiao Fu

We introduce an inexact variant of Stochastic Mirror Descent (SMD), called Inexact Stochastic Mirror Descent (ISMD), to solve nonlinear two-stage stochastic programs where the second stage problem has linear and nonlinear coupling…

Optimization and Control · Mathematics 2020-06-30 Vincent Guigues

Differential distributed space-time coding (D-DSTC) technique has been considered for relay networks to provide both diversity gain and high throughput in the absence of channel state information. Conventional differential detection (CDD)…

Information Theory · Computer Science 2014-04-09 M. R. Avendi , Ha H. Nguyen , Nguyen Quoc-Tuan

We propose a joint channel estimation and data detection algorithm for massive multilple-input multiple-output systems based on diffusion models. Our proposed method solves the blind inverse problem by sampling from the joint posterior…

Signal Processing · Electrical Eng. & Systems 2023-11-20 Nicolas Zilberstein , Ananthram Swami , Santiago Segarra

In this paper, we propose a novel downlink multiple access system with a multi-antenna transmitter and two single-antenna receivers, inspired by the underlying principles of hierarchical quadrature amplitude modulation (H-QAM) based…

Information Theory · Computer Science 2025-07-01 Jie Huang , Ming Zhao , Shengli Zhou , Ling Qiu , Jinkang Zhu

Several analog-to-digital conversion methods for bandlimited signals used in applications, such as Sigma Delta quantization schemes, employ coarse quantization coupled with oversampling. The standard mathematical model for the error accrued…

Information Theory · Computer Science 2010-04-21 Felix Krahmer , Rachel Ward

In this letter, we develop an $\ell_2$-box maximum likelihood (ML) formulation for massive multiple-input multiple-output (MIMO) quadrature amplitude modulation (QAM) signal detection and customize an alternating direction method of…

Information Theory · Computer Science 2022-08-30 Jiangtao Wang , Quan Zhang , Yongchao Wang

Low complexity joint estimation of synchronization impairments and channel in a single-user MIMO-OFDM system is presented in this letter. Based on a system model that takes into account the effects of synchronization impairments such as…

Information Theory · Computer Science 2013-04-30 Renu Jose , Sooraj K. Ambat , K. V. S. Hari