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Low-rank matrix estimation under heavy-tailed noise is challenging, both computationally and statistically. Convex approaches have been proven statistically optimal but suffer from high computational costs, especially since robust loss…

Statistics Theory · Mathematics 2023-05-12 Yinan Shen , Jingyang Li , Jian-Feng Cai , Dong Xia

In this paper, we consider the spectrum sensing in cognitive radio networks when the impulsive noise appears. We propose a class of blind and robust detectors using M-estimators in eigenvalue based spectrum sensing method. The conventional…

Signal Processing · Electrical Eng. & Systems 2019-09-11 Zhedong Liu , Abla Kammoun , Mohamed Slim Alouini

Traffic congestion remains a pressing urban challenge, requiring intelligent transportation systems for real-time management. We present a hybrid framework that combines deep learning and reinforcement learning for acoustic vehicle speed…

Sound · Computer Science 2025-09-03 Yuli Zhang , Pengfei Fan , Ruiyuan Jiang , Hankang Gu , Dongyao Jia , Xinheng Wang

In a recent paper (J. Chem. Theory. Comput., 2017, 13, 180-190) we proposed the Truncated Conjugate Gradient (TCG) approach to compute the polarization energy and forces in polarizable molecular simulations. The method consists in…

Chemical Physics · Physics 2017-09-05 Félix Aviat , Louis Lagardère , Jean-Philip Piquemal

Variational inference is computationally challenging in models that contain both conjugate and non-conjugate terms. Methods specifically designed for conjugate models, even though computationally efficient, find it difficult to deal with…

Machine Learning · Computer Science 2017-04-14 Mohammad Emtiyaz Khan , Wu Lin

Prompt engineering is crucial for fully leveraging large language models (LLMs), yet most existing optimization methods follow a single trajectory, resulting in limited adaptability, gradient conflicts, and high computational overhead. We…

Artificial Intelligence · Computer Science 2026-02-04 Yichen Han , Yuhang Han , Siteng Huang , Guanyu Liu , Zhengpeng Zhou , Bojun Liu , Yujia Zhang , Isaac N Shi , Lewei He , Tianyu Shi

In this article, the state estimation problems with unknown process noise and measurement noise covariances for both linear and nonlinear systems are considered. By formulating the joint estimation of system state and noise parameters into…

Systems and Control · Electrical Eng. & Systems 2023-12-18 Hua Lan , Shijie Zhao , Jinjie Hu , Zengfu Wang , Jing Fu

Solving structured systems of linear equations in a non-centralized fashion is an important step in many distributed optimization and control algorithms. Fast convergence is required in manifold applications. Known decentralized algorithms,…

Optimization and Control · Mathematics 2021-09-03 Alexander Engelmann , Timm Faulwasser

Alternating least squares (ALS) is often considered the workhorse algorithm for computing the rank-R canonical tensor approximation, but for certain problems its convergence can be very slow. The nonlinear conjugate gradient (NCG) method…

Numerical Analysis · Mathematics 2014-07-22 Hans De Sterck , Manda Winlaw

In recent years, topology optimization has been developed sufficiently and many researchers have concentrated on enhancing to computationally numerical algorithms for computational effectiveness of this method. Along with the development of…

Numerical Analysis · Mathematics 2023-01-19 Nam G. Luu , Thanh T. Banh

In this paper, we propose two novel p-norm penalty least mean square (Lp-LMS) algorithms as supplements of the conventional Lp-LMS algorithm established for sparse adaptive filtering recently. A gradient comparator is employed to…

Systems and Control · Computer Science 2015-03-11 Yong Feng , Jiasong Wu , Rui Zeng , Limin Luo , Huazhong Shu

In this paper, we propose a modified nonlinear conjugate gradient (NCG) method for functions with a non-Lipschitz continuous gradient. First, we present a new formula for the conjugate coefficient \beta_k in NCG, conducting a search…

Numerical Analysis · Mathematics 2022-04-19 Bingjie Li , Tianhao Ni , Zhenyue Zhang

A greedy algorithm is proposed for sparse-sensor selection in reduced-order sensing that contains correlated noise in measurement. The sensor selection is carried out by maximizing the determinant of the Fisher information matrix in a…

Optimization and Control · Mathematics 2021-04-28 Keigo Yamada , Yuji Saito , Koki Nankai , Taku Nonomura , Keisuke Asai , Daisuke Tsubakino

Learning algorithms for energy based Boltzmann architectures that rely on gradient descent are in general computationally prohibitive, typically due to the exponential number of terms involved in computing the partition function. In this…

Machine Learning · Computer Science 2018-07-13 Enrique Romero Merino , Ferran Mazzanti Castrillejo , Jordi Delgado Pin , David Buchaca Prats

The imbalanced classification problem turns out to be one of the important and challenging problems in data mining and machine learning. The performances of traditional classifiers will be severely affected by many data problems, such as…

Machine Learning · Computer Science 2022-01-12 Qi Dai , Jian-wei Liu , Yang Liu

In this paper, we propose a unified view of gradient-based algorithms for stochastic convex composite optimization by extending the concept of estimate sequence introduced by Nesterov. More precisely, we interpret a large class of…

Machine Learning · Statistics 2020-09-07 Andrei Kulunchakov , Julien Mairal

This paper studies the problem of estimation from relative measurements in a graph, in which a vector indexed over the nodes has to be reconstructed from pairwise measurements of differences between its components associated to nodes…

Systems and Control · Computer Science 2018-07-27 Chiara Ravazzi , Nelson P. K. Chan , Paolo Frasca

Using lightweight models as backbone networks in gaze estimation tasks often results in significant performance degradation. The main reason is that the number of feature channels in lightweight networks is usually small, which makes the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Zhang Cheng , Yanxia Wang

Imbalanced electrocardiogram (ECG) data hampers the efficacy and resilience of algorithms in the automated processing and interpretation of cardiovascular diagnostic information, which in turn impedes deep learning-based ECG classification.…

Machine Learning · Computer Science 2026-01-15 Haijian Shao , Wei Liu , Xing Deng , Daze Lu

The constrained gradient method (CGM) has recently been proposed to solve convex optimization and monotone variational inequality (VI) problems with general functional constraints. While existing literature has established convergence…

Optimization and Control · Mathematics 2025-11-24 Danqing Zhou , Hongmei Chen , Shiqian Ma , Junfeng Yang