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Reinforcement learning (RL) plays a central role in improving the reasoning and alignment of large language models, yet its efficiency critically depends on how training data are selected. Existing online selection strategies predominantly…

Machine Learning · Computer Science 2026-03-03 Xinyu Zhou , Boyu Zhu , Haotian Zhang , Huiming Wang , Zhijiang Guo

The aim of this paper is to investigate the use of an entropic projection method for the iterative regularization of linear ill-posed problems. We derive a closed form solution for the iterates and analyze their convergence behaviour both…

Optimization and Control · Mathematics 2020-01-29 Martin Burger , Elena Resmerita , Martin Benning

Feature selection is an important data pre-processing in data mining and machine learning, which can reduce feature size without deteriorating model's performance. Recently, sparse regression based feature selection methods have received…

Machine Learning · Computer Science 2021-03-31 Zhenzhen Sun , Yuanlong Yu

The paper introduces an interactive machine learning mechanism to process the measurements of an uncertain, nonlinear dynamic process and hence advise an actuation strategy in real-time. For concept demonstration, a trajectory-following…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Mohammed Abouheaf , Derek Boase , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan

Recently, the paradigm of unfolding iterative algorithms into finite-length feed-forward neural networks has achieved a great success in the area of sparse recovery. Benefit from available training data, the learned networks have achieved…

Machine Learning · Computer Science 2019-10-14 Yulun Jiang , Lei Yu , Haijian Zhang , Zhou Liu

In this paper, a robust weighted score for unbalanced data (ROWSU) is proposed for selecting the most discriminative feature for high dimensional gene expression binary classification with class-imbalance problem. The method addresses one…

Machine Learning · Statistics 2024-01-24 Zardad Khan , Amjad Ali , Saeed Aldahmani

In robotic systems, the performance of reinforcement learning depends on the rationality of predefined reward functions. However, manually designed reward functions often lead to policy failures due to inaccuracies. Inverse Reinforcement…

Robotics · Computer Science 2025-09-12 Yongkai Tian , Yirong Qi , Xin Yu , Wenjun Wu , Jie Luo

Deep learning requires regularization mechanisms to reduce overfitting and improve generalization. We address this problem by a new regularization method based on distributional robust optimization. The key idea is to modify the…

Machine Learning · Computer Science 2020-06-08 Aurora Cobo Aguilera , Antonio Artés-Rodríguez , Fernando Pérez-Cruz , Pablo Martínez Olmos

Joint sparsity has attracted considerable attention in recent years in many fields including sparse signal recovery in compressed sensing (CS), statistics, and machine learning. Traditional convex models suffer from the suboptimal…

Numerical Analysis · Computer Science 2017-06-27 Yaru Fan , Yilun Wang , Tingzhu Huang

Estimating causal effects from observational data is challenging due to selection bias, which leads to imbalanced covariate distributions across treatment groups. Propensity score-based weighting methods are widely used to address this…

Machine Learning · Computer Science 2025-08-08 Ahmad Saeed Khan , Erik Schaffernicht , Johannes Andreas Stork

This paper considers the problem of minimizing the sum of a smooth function and the Schatten-$p$ norm of the matrix. Our contribution involves proposing accelerated iteratively reweighted nuclear norm methods designed for solving the…

Optimization and Control · Mathematics 2024-06-27 Hao Wang , Ye Wang , Xiangyu Yang

Neural networks are widespread due to their powerful performance. Yet, they degrade in the presence of noisy labels at training time. Inspired by the setting of learning with expert advice, where multiplicative weights (MW) updates were…

Machine Learning · Computer Science 2025-11-12 Noga Bar , Tomer Koren , Raja Giryes

Multi-view data have been routinely collected in various fields of science and engineering. A general problem is to study the predictive association between multivariate responses and multi-view predictor sets, all of which can be of high…

Methodology · Statistics 2018-07-30 Gen Li , Xiaokang Liu , Kun Chen

This paper considers the problem of reconstructing sparse or compressible signals from one-bit quantized measurements. We study a new method that uses a log-sum penalty function, also referred to as the Gaussian entropy, for sparse signal…

Information Theory · Computer Science 2012-10-17 Jun Fang , Yanning Shen , Hongbin Li

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

Methodology · Statistics 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

We present two matrix-free methods for approximately solving exact penalty subproblems that arise when solving large-scale optimization problems. The first approach is a novel iterative re-weighting algorithm (IRWA), which iteratively…

Optimization and Control · Mathematics 2017-01-02 James V. Burke , Frank E. Curtis , Hao Wang , Jiashan Wang

We empirically analyze a simple heuristic for large sparse set cover problems. It uses the weighted greedy algorithm as a basic building block. By multiplicative updates of the weights attached to the elements, the greedy solution is…

Data Structures and Algorithms · Computer Science 2020-10-30 Marc Alexa

We consider the problem of supervised learning with convex loss functions and propose a new form of iterative regularization based on the subgradient method. Unlike other regularization approaches, in iterative regularization no constraint…

Machine Learning · Statistics 2015-04-02 Junhong Lin , Lorenzo Rosasco , Ding-Xuan Zhou

The transformer architecture has demonstrated strong performance in classification tasks involving structured and high-dimensional data. However, its success often hinges on large- scale training data and careful regularization to prevent…

Machine Learning · Statistics 2025-11-18 Mohamed Salem , Inyoung Kim

Iteratively reweighted $\ell_1$ algorithm is a popular algorithm for solving a large class of optimization problems whose objective is the sum of a Lipschitz differentiable loss function and a possibly nonconvex sparsity inducing…

Optimization and Control · Mathematics 2017-11-21 Peiran Yu , Ting Kei Pong
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