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Multivariate global polynomial approximations - such as polynomial chaos or stochastic collocation methods - are now in widespread use for sensitivity analysis and uncertainty quantification. The pseudospectral variety of these methods uses…

Numerical Analysis · Mathematics 2013-04-09 Paul G. Constantine , Michael S. Eldred , Eric T. Phipps

For uncertainty propagation of highly complex and/or nonlinear problems, one must resort to sample-based non-intrusive approaches [1]. In such cases, minimizing the number of function evaluations required to evaluate the response surface is…

Numerical Analysis · Mathematics 2017-12-04 Anindya Bhaduri , Lori Graham-Brady

Interpolation-based trust-region methods are an important class of algorithms for Derivative-Free Optimization which rely on locally approximating an objective function by quadratic polynomial interpolation models, frequently built from…

Optimization and Control · Mathematics 2013-06-25 Afonso S. Bandeira , Katya Scheinberg , Luis Nunes Vicente

This paper addresses multi-robot informative path planning (IPP) for environmental monitoring. The problem involves determining informative regions in the environment that should be visited by robots to gather the most information about the…

Robotics · Computer Science 2024-03-12 Kalvik Jakkala , Srinivas Akella

Simulation-based inference enables learning the parameters of a model even when its likelihood cannot be computed in practice. One class of methods uses data simulated with different parameters to infer models of the likelihood-to-evidence…

Machine Learning · Computer Science 2022-06-08 Giulio Isacchini , Natanael Spisak , Armita Nourmohammad , Thierry Mora , Aleksandra M. Walczak

We present arguments for the formulation of unified approach to different standard continuous inference methods from partial information. It is claimed that an explicit partition of information into a priori (prior knowledge) and a…

Machine Learning · Statistics 2012-12-07 Mark A. Kon , Leszek Plaskota

A new sparse semiparametric model is proposed, which incorporates the influence of two functional random variables in a scalar response in a flexible and interpretable manner. One of the functional covariates is included through a…

Methodology · Statistics 2024-01-29 Silvia Novo , Philippe Vieu , Germán Aneiros

As datasets grow larger, they are often distributed across multiple machines that compute in parallel and communicate with a central machine through short messages. In this paper, we focus on sparse regression and propose a new procedure…

Methodology · Statistics 2023-03-14 Sifan Liu , Snigdha Panigrahi

Probabilistic programs provide an expressive representation language for generative models. Given a probabilistic program, we are interested in the task of posterior inference: estimating a latent variable given a set of observed variables.…

Machine Learning · Computer Science 2022-09-01 Mike Wu , Noah Goodman

This paper focuses on detection tasks in information extraction, where positive instances are sparsely distributed and models are usually evaluated using F-measure on positive classes. These characteristics often result in deficient…

Computation and Language · Computer Science 2018-05-29 Hongyu Lin , Yaojie Lu , Xianpei Han , Le Sun

Trajectory data is crucial for various applications but often suffers from incompleteness due to device limitations and diverse collection scenarios. Existing imputation methods rely on sparse trajectory or travel information, such as…

Machine Learning · Computer Science 2025-05-30 Tianci Bu , Le Zhou , Wenchuan Yang , Jianhong Mou , Kang Yang , Suoyi Tan , Feng Yao , Jingyuan Wang , Xin Lu

This paper presents a new algorithmic framework for computing sparse solutions to large-scale linear discrete ill-posed problems. The approach is motivated by recent perspectives on iteratively reweighted norm schemes, viewed through the…

Numerical Analysis · Mathematics 2025-02-05 Lucas Onisk , Malena Sabaté Landman

Matching pursuits are a class of greedy algorithms commonly used in signal processing, for solving the sparse approximation problem. They rely on an atom selection step that requires the calculation of numerous projections, which can be…

Data Structures and Algorithms · Computer Science 2012-04-06 Manuel Moussallam , Laurent Daudet , Gaël Richard

In this paper, we tested several sparse optimization algorithms based on the public dataset of the DREAM5 Gene Regulatory Network Inference Challenge. And we find that introducing 20% of the regulatory network as a priori known data can…

Molecular Networks · Quantitative Biology 2022-11-15 Jiashu Lou , Leyi Cui , Wenxuan Qiu

In this study, we propose a projection estimation method for large-dimensional matrix factor models with cross-sectionally spiked eigenvalues. By projecting the observation matrix onto the row or column factor space, we simplify factor…

Methodology · Statistics 2020-12-04 Long Yu , Yong He , Xin-bing Kong , Xinsheng Zhang

Several convex formulation methods have been proposed previously for statistical estimation with structured sparsity as the prior. These methods often require a carefully tuned regularization parameter, often a cumbersome or heuristic…

Machine Learning · Statistics 2016-03-23 Sohail Bahmani , Petros T. Boufounos , Bhiksha Raj

Reducing hidden bias in the data and ensuring fairness in algorithmic data analysis has recently received significant attention. We complement several recent papers in this line of research by introducing a general method to reduce bias in…

Data Structures and Algorithms · Computer Science 2021-03-09 Aris Anagnostopoulos , Luca Becchetti , Adriano Fazzone , Cristina Menghini , Chris Schwiegelshohn

To address the challenge of increasing network size, researchers have developed sparse models through network pruning. However, maintaining model accuracy while achieving significant speedups on general computing devices remains an open…

Artificial Intelligence · Computer Science 2023-10-31 Haitao Xu , Songwei Liu , Yuyang Xu , Shuai Wang , Jiashi Li , Chenqian Yan , Liangqiang Li , Lean Fu , Xin Pan , Fangmin Chen

Composite likelihood has shown promise in settings where the number of parameters $p$ is large due to its ability to break down complex models into simpler components, thus enabling inference even when the full likelihood is not tractable.…

Methodology · Statistics 2021-07-21 Claudia Di Caterina , Davide Ferrari

Recent studies have demonstrated advantages of information fusion based on sparsity models for multimodal classification. Among several sparsity models, tree-structured sparsity provides a flexible framework for extraction of…

Computer Vision and Pattern Recognition · Computer Science 2015-02-04 Soheil Bahrampour , Asok Ray , Nasser M. Nasrabadi , Kenneth W. Jenkins