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The Conjugate Gradient method (CGM) is known to be the fastest generic iterative method for solving linear systems with symmetric sign definite matrices. In this paper, we modify this method so that it could find fundamental solitary waves…

斑图形成与孤子 · 物理学 2015-05-13 Taras I. Lakoba

Hierarchical optimization refers to problems with interdependent decision variables and objectives, such as minimax and bilevel formulations. While various algorithms have been proposed, existing methods and analyses lack adaptivity in…

机器学习 · 计算机科学 2025-10-27 Xiaochuan Gong , Jie Hao , Mingrui Liu

Deep learning has improved automated electrocardiogram (ECG) classification, but limited insight into prediction reliability hinders its use in safety-critical settings. This paper proposes UCTECG-Net, an uncertainty-aware hybrid…

Active noise control (ANC) is an effective approach to noise suppression, and the filtered-reference least mean square (FxLMS) algorithm is a widely adopted method in ANC systems, owing to its computational efficiency and stable…

信号处理 · 电气工程与系统科学 2026-03-10 Luyuan Li , Jisheng Bai , Xiruo Su , Xiaoyi Shen , Dongyuan Shi , Woon-seng Gan

Bilevel optimization has been developed for many machine learning tasks with large-scale and high-dimensional data. This paper considers a constrained bilevel optimization problem, where the lower-level optimization problem is convex with…

机器学习 · 计算机科学 2023-08-22 Siyuan Xu , Minghui Zhu

Estimation and counterfactual experiments in dynamic discrete choice models with large state spaces pose computational difficulties. This paper proposes a model-adaptive approach, based on the conjugate gradient (CG) method, to solve the…

计量经济学 · 经济学 2026-03-18 Ertian Chen

In this work, we propose a robust adaptive filtering approach for active noise control applications in the presence of impulsive noise. In particular, we develop the filtered-x hyperbolic tangent exponential generalized Kernel M-estimate…

机器学习 · 计算机科学 2025-08-19 Iam Kim de S. Hermont , Andre R. Flores , Rodrigo C. de Lamare

In this paper, we revisit parameter estimation for multinomial logit (MNL), nested logit (NL), and tree-nested logit (TNL) models through the framework of convex conic optimization. Traditional approaches typically solve the maximum…

计量经济学 · 经济学 2025-09-03 Hoang Giang Pham , Tien Mai , Minh Ha Hoang

This paper introduces Tempered Fractional Gradient Descent (TFGD), a novel optimization framework that synergizes fractional calculus with exponential tempering to enhance gradient-based learning. Traditional gradient descent methods often…

机器学习 · 计算机科学 2025-04-29 Omar Naifar

In this work, we propose low-complexity adaptive biased estimation algorithms, called group-based shrinkage estimators (GSEs), for parameter estimation and interference suppression scenarios with mechanisms to automatically adjust the…

信息论 · 计算机科学 2016-11-17 Sheng Li , Rodrigo C. de Lamare , Martin Haardt

Text-to-image (TTI) diffusion models have achieved remarkable visual quality, yet they have been repeatedly shown to exhibit social biases across sensitive attributes such as gender, race and age. To mitigate these biases, existing…

机器学习 · 计算机科学 2026-03-18 Manos Plitsis , Giorgos Bouritsas , Vassilis Katsouros , Yannis Panagakis

We consider the inverse problem of estimating the spatially varying pulse wave velocity in blood vessels in the brain from dynamic MRI data, as it appears in the recently proposed imaging technique of Magnetic Resonance Advection Imaging…

数值分析 · 数学 2020-01-13 Simon Hubmer , Andreas Neubauer , Ronny Ramlau , Henning U. Voss

Bilevel optimization is a powerful tool for many machine learning problems, such as hyperparameter optimization and meta-learning. Estimating hypergradients (also known as implicit gradients) is crucial for developing gradient-based methods…

最优化与控制 · 数学 2025-05-06 Youran Dong , Junfeng Yang , Wei Yao , Jin Zhang

Personalized virtual assistants powered by large language models (LLMs) on edge devices are attracting growing attention, with Retrieval-Augmented Generation (RAG) emerging as a key method for personalization by retrieving relevant profile…

机器学习 · 计算机科学 2026-02-04 Shih-Hsuan Chiu , Ming-Syan Chen

A framework of M-estimation based fuzzy C-means clustering (MFCM) algorithm is proposed with iterative reweighted least squares (IRLS) algorithm, and penalty constraint and kernelization extensions of MFCM algorithms are also developed.…

计算机视觉与模式识别 · 计算机科学 2013-01-22 Jingwei Liu , Meizhi Xu

This paper presents a novel stochastic gradient descent algorithm for constrained optimization. The proposed algorithm randomly samples constraints and components of the finite sum objective function and relies on a relaxed logarithmic…

最优化与控制 · 数学 2025-05-13 Naum Dimitrieski , Jing Cao , Christian Ebenbauer

Objective: A novel ECG classification algorithm is proposed for continuous cardiac monitoring on wearable devices with limited processing capacity. Methods: The proposed solution employs a novel architecture consisting of wavelet transform…

信号处理 · 电气工程与系统科学 2020-01-22 Saeed Saadatnejad , Mohammadhosein Oveisi , Matin Hashemi

The sample selection approach is very popular in learning with noisy labels. As deep networks learn pattern first, prior methods built on sample selection share a similar training procedure: the small-loss examples can be regarded as clean…

机器学习 · 计算机科学 2023-09-06 Xiaobo Xia , Pengqian Lu , Chen Gong , Bo Han , Jun Yu , Jun Yu , Tongliang Liu

In recent years, deep learning (DL) has contributed significantly to the improvement of motor-imagery brain-machine interfaces (MI-BMIs) based on electroencephalography(EEG). While achieving high classification accuracy, DL models have also…

信号处理 · 电气工程与系统科学 2020-06-03 Thorir Mar Ingolfsson , Michael Hersche , Xiaying Wang , Nobuaki Kobayashi , Lukas Cavigelli , Luca Benini

We would like to congratulate the authors of "A Bayesian Conjugate Gradient Method" on their insightful paper, and welcome this publication which we firmly believe will become a fundamental contribution to the growing field of probabilistic…

统计计算 · 统计学 2019-08-09 Francois-Xavier Briol , Francisco A. Diaz De la O , Peter O. Hristov