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This paper introduces an efficient sparse recovery approach for Polynomial Chaos (PC) expansions, which promotes the sparsity by breaking the dimensionality of the problem. The proposed algorithm incrementally explores sub-dimensional…

Computation · Statistics 2017-04-05 Negin Alemazkoor , Hadi Meidani

The use of Intelligent Reflecting Surfaces (IRSs) is considered a potential enabling technology for enhancing the spectral and energy efficiency of beyond 5G communication systems. In this paper, a joint relay and intelligent reflecting…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Uyoata E. Uyoata , Mobayode O. Akinsolu , Enoruwa Obayiuwana , Abimbola Sangodoyin , Ramoni Adeogun

Coreference Resolution (CR) is a critical task in Natural Language Processing (NLP). Current research faces a key dilemma: whether to further explore the potential of supervised neural methods based on small language models, whose…

Computation and Language · Computer Science 2026-05-08 Kangyang Luo , Yuzhuo Bai , Shuzheng Si , Cheng Gao , Zhitong Wang , Yingli Shen , Wenhao Li , Zhu Liu , Yufeng Han , Jiayi Wu , Cunliang Kong , Maosong Sun

We investigate the acceleration of stationary iterations for multi-term Sylvester equation by means of reduced rank extrapolation (RRE). Theoretical convergence results and implementations are provided for both small and large-scale…

Numerical Analysis · Mathematics 2026-03-16 Peter Benner , Pascal den Boef , Patrick Kürschner , Xiaobo Liu , Jens Saak

We express the optimization of entanglement witnesses for arbitrary bipartite states in terms of a class of convex optimization problems known as Robust Semidefinite Programs (RSDP). We propose, using well known properties of RSDP, several…

Quantum Physics · Physics 2007-05-23 Fernando. G. S. L. Brandao , Reinaldo O. Vianna

Coordinate descent is one of the most popular approaches for solving Lasso and its extensions due to its simplicity and efficiency. When applying coordinate descent to solving Lasso, we update one coordinate at a time while fixing the…

Machine Learning · Computer Science 2015-12-21 Jun Liu , Zheng Zhao , Ruiwen Zhang

Reinforcement learning (RL) has been pivotal in enhancing the reasoning capabilities of large language models (LLMs), but it often suffers from limited exploration and entropy collapse, where models exploit a narrow set of solutions,…

Machine Learning · Computer Science 2025-10-20 Shijia Kang , Muhan Zhang

Randomized subspace embedding methods have had a great impact on the solution of a linear least squares (LS) problem by reducing its row dimension, leading to a randomized or sketched LS (sLS) problem, and use the solution of the sLS…

Numerical Analysis · Mathematics 2026-02-12 Zhongxiao Jia , Xinyuan Wan

To improve the compressive sensing MRI (CS-MRI) approaches in terms of fine structure loss under high acceleration factors, we have proposed an iterative feature refinement model (IFR-CS), equipped with fixed transforms, to restore the…

Machine Learning · Computer Science 2019-09-26 Yiling Liu , Qiegen Liu , Minghui Zhang , Qingxin Yang , Shanshan Wang , Dong Liang

To enhance the reproducibility and reliability of deep learning models, we address a critical gap in current training methodologies: the lack of mechanisms that ensure consistent and robust performance across runs. Our empirical analysis…

Machine Learning · Computer Science 2026-01-05 Waqas Ahmed , Sheeba Samuel , Kevin Coakley , Birgitta Koenig-Ries , Odd Erik Gundersen

Simultaneously accurate and reliable tracking control for quadrotors in complex dynamic environments is challenging. As aerodynamics derived from drag forces and moment variations are chaotic and difficult to precisely identify, most…

Robotics · Computer Science 2024-07-16 Yanran Wang , David Boyle

This paper introduces the Reed Muller Sieve, a deterministic measurement matrix for compressed sensing. The columns of this matrix are obtained by exponentiating codewords in the quaternary second order Reed Muller code of length $N$. For…

Information Theory · Computer Science 2010-04-20 Robert Calderbank , Stephen Howard , Sina Jafarpour

By providing explanations for users and system designers to facilitate better understanding and decision making, explainable recommendation has been an important research problem. In this paper, we propose Counterfactual Explainable…

Information Retrieval · Computer Science 2023-02-21 Juntao Tan , Shuyuan Xu , Yingqiang Ge , Yunqi Li , Xu Chen , Yongfeng Zhang

An algorithmic framework, based on the difference of convex functions algorithm (DCA), is proposed for minimizing a class of concave sparse metrics for compressed sensing problems. The resulting algorithm iterates a sequence of $\ell_1$…

Information Theory · Computer Science 2016-11-02 Penghang Yin , Jack Xin

We propose a new iteratively reweighted least squares (IRLS) algorithm for the recovery of a matrix $X \in \mathbb{C}^{d_1\times d_2}$ of rank $r \ll\min(d_1,d_2)$ from incomplete linear observations, solving a sequence of low complexity…

Numerical Analysis · Mathematics 2018-02-28 Christian Kümmerle , Juliane Sigl

Nonparametric random coefficient (RC)-density estimation has mostly been considered in the marginal density case under strict independence of RCs and covariates. This paper deals with the estimation of RC-densities conditional on a…

Econometrics · Economics 2022-01-21 Stephan Martin

Online or recursive robust PCA can be posed as a problem of recovering a sparse vector, $S_t$, and a dense vector, $L_t$, which lies in a slowly changing low-dimensional subspace, from $M_t:= S_t + L_t$ on-the-fly as new data comes in. For…

Information Theory · Computer Science 2014-05-26 Jinchun Zhan , Namrata Vaswani , Chenlu Qiu

Many estimators of dynamic discrete choice models with persistent unobserved heterogeneity have desirable statistical properties but are computationally intensive. In this paper we propose a method to quicken estimation for a broad class of…

Econometrics · Economics 2025-04-09 Jackson Bunting , Takuya Ura

We study the Compressed Sensing (CS) problem, which is the problem of finding the most sparse vector that satisfies a set of linear measurements up to some numerical tolerance. We introduce an $\ell_2$ regularized formulation of CS which we…

Signal Processing · Electrical Eng. & Systems 2024-07-15 Dimitris Bertsimas , Nicholas A. G. Johnson

This paper presents a canonical polyadic (CP) tensor decomposition that addresses unaligned observations. The mode with unaligned observations is represented using functions in a reproducing kernel Hilbert space (RKHS). We introduce a…

Machine Learning · Statistics 2025-08-12 Runshi Tang , Tamara Kolda , Anru R. Zhang