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We study the problem of estimating from data, a sparse approximation to the inverse covariance matrix. Estimating a sparsity constrained inverse covariance matrix is a key component in Gaussian graphical model learning, but one that is…

Machine Learning · Statistics 2011-06-28 Suvrit Sra , Dongmin Kim

Selecting interpretable feature sets in underdetermined ($n \ll p$) and highly correlated regimes constitutes a fundamental challenge in data science, particularly when analyzing physical measurements. In such settings, multiple distinct…

Machine Learning · Computer Science 2026-02-10 Kateřina Henclová , Václav Šmídl

Generalised linear models for multi-class classification problems are one of the fundamental building blocks of modern machine learning tasks. In this manuscript, we characterise the learning of a mixture of $K$ Gaussians with generic means…

Multi-model ensemble analysis integrates information from multiple climate models into a unified projection. However, existing integration approaches based on model averaging can dilute fine-scale spatial information and incur bias from…

Applications · Statistics 2023-04-12 Trevor Harris , Bo Li , Ryan Sriver

Reliable uncertainty measures are required when using data based machine learning interatomic potentials (MLIPs) for atomistic simulations. In this work, we propose for sparse Gaussian Process Regression type MLIP a stochastic uncertainty…

Computational Physics · Physics 2024-12-31 Mads-Peter Verner Christiansen , Nikolaj Rønne , Bjørk Hammer

The growing demands of the worldwide IT infrastructure stress the need for reduced power consumption, which is addressed in so-called transprecision computing by improving energy efficiency at the expense of precision. For example, reducing…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-30 Andrea Borghesi , Giuseppe Tagliavini , Michele Lombardi , Luca Benini , Michela Milano

Accurate weather forecasting holds significant importance, serving as a crucial tool for decision-making in various industrial sectors. The limitations of statistical models, assuming independence among data points, highlight the need for…

Machine Learning · Computer Science 2025-01-22 Anuvab Sen , Udayon Sen , Mayukhi Paul , Apurba Prasad Padhy , Sujith Sai , Aakash Mallik , Chhandak Mallick

Consider a regression model with fixed design and Gaussian noise where the regression function can potentially be well approximated by a function that admits a sparse representation in a given dictionary. This paper resorts to exponential…

Statistics Theory · Mathematics 2013-01-08 Philippe Rigollet , Alexandre B. Tsybakov

We develop a novel Bayesian method to select important predictors in regression models with multiple responses of diverse types. A sparse Gaussian copula regression model is used to account for the multivariate dependencies between any…

Methodology · Statistics 2020-09-22 Angelos Alexopoulos , Leonardo Bottolo

Accurate time series forecasting is critical for a wide range of problems with temporal data. Ensemble modeling is a well-established technique for leveraging multiple predictive models to increase accuracy and robustness, as the…

Machine Learning · Computer Science 2023-04-11 Dimitris Bertsimas , Leonard Boussioux

In this paper, a sparsity-aware adaptive algorithm for distributed learning in diffusion networks is developed. The algorithm follows the set-theoretic estimation rationale. At each time instance and at each node of the network, a closed…

Information Theory · Computer Science 2015-06-03 Symeon Chouvardas , Konstantinos Slavakis , Yannis Kopsinis , Sergios Theodoridis

The two primary approaches for high-dimensional regression problems are sparse methods (e.g., best subset selection, which uses the L0-norm in the penalty) and ensemble methods (e.g., random forests). Although sparse methods typically yield…

Methodology · Statistics 2024-10-31 Anthony-Alexander Christidis , Stefan Van Aelst , Ruben Zamar

Clustering task of mixed data is a challenging problem. In a probabilistic framework, the main difficulty is due to a shortage of conventional distributions for such data. In this paper, we propose to achieve the mixed data clustering with…

Methodology · Statistics 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

Ensemble models can be used to estimate prediction uncertainties in machine learning models. However, an ensemble of N models is approximately N times more computationally demanding compared to a single model when it is used for inference.…

Machine Learning · Computer Science 2026-03-04 Vidit Agrawal , Shixin Zhang , Lane E. Schultz , Dane Morgan

Mixtures of Linear Regressions (MLR) is an important mixture model with many applications. In this model, each observation is generated from one of the several unknown linear regression components, where the identity of the generated…

Machine Learning · Computer Science 2020-03-31 Yuanzhi Li , Yingyu Liang

Model ensemble is an effective strategy in continual learning, which alleviates catastrophic forgetting by interpolating model parameters, achieving knowledge fusion learned from different tasks. However, existing model ensemble methods…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Yuchuan Mao , Zhi Gao , Xiaomeng Fan , Yuwei Wu , Yunde Jia , Chenchen Jing

Objective: This paper investigates the potential of ensemble learning for variants of adjustment methods used in analogy-based effort estimation. The number k of analogies to be used is also investigated. Method We perform a large scale…

Software Engineering · Computer Science 2017-03-20 Mohammad Azzeh , Ali Bou Nassif , Leandro L Minku

This paper introduces an active learning framework for manifold Gaussian Process (GP) regression, combining manifold learning with strategic data selection to improve accuracy in high-dimensional spaces. Our method jointly optimizes a…

Machine Learning · Statistics 2026-05-12 Yuanxing Cheng , Lulu Kang , Yiwei Wang , Chun Liu

Gaussian process regression is a machine learning approach which has been shown its power for estimation of unknown functions. However, Gaussian processes suffer from high computational complexity, as in a basic form they scale cubically…

Machine Learning · Statistics 2018-09-10 Danil Kuzin , Le Yang , Olga Isupova , Lyudmila Mihaylova

Machine Reading Comprehension (MRC) is an active field in natural language processing with many successful developed models in recent years. Despite their high in-distribution accuracy, these models suffer from two issues: high training…

Computation and Language · Computer Science 2021-07-16 Razieh Baradaran , Hossein Amirkhani