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We propose a Multi-level Monte Carlo technique to accelerate Monte Carlo sampling for approximation of properties of materials with random defects. The computational efficiency is investigated on test problems given by tight-binding models…

Numerical Analysis · Mathematics 2016-11-30 Petr Plecháč , Erik von Schwerin

When faced with learning a set of inter-related tasks from a limited amount of usable data, learning each task independently may lead to poor generalization performance. Multi-Task Learning (MTL) exploits the latent relations between tasks…

Machine Learning · Computer Science 2015-08-14 Niloofar Yousefi , Michael Georgiopoulos , Georgios C. Anagnostopoulos

We describe $k$-MLE, a fast and efficient local search algorithm for learning finite statistical mixtures of exponential families such as Gaussian mixture models. Mixture models are traditionally learned using the expectation-maximization…

Machine Learning · Computer Science 2016-11-15 Frank Nielsen

Cross-Entropy Method (CEM) is commonly used for planning in model-based reinforcement learning (MBRL) where a centralized approach is typically utilized to update the sampling distribution based on only the top-$k$ operation's results on…

Machine Learning · Computer Science 2022-12-19 Zichen Zhang , Jun Jin , Martin Jagersand , Jun Luo , Dale Schuurmans

We propose the Limited Multi-Label (LML) projection layer as a new primitive operation for end-to-end learning systems. The LML layer provides a probabilistic way of modeling multi-label predictions limited to having exactly k labels. We…

Machine Learning · Computer Science 2019-10-15 Brandon Amos , Vladlen Koltun , J. Zico Kolter

A multiscale optimization framework for problems over a space of Lipschitz continuous functions is developed. The method solves a coarse-grid discretization followed by linear interpolation to warm-start project gradient descent on…

Numerical Analysis · Mathematics 2026-03-05 Nicholas J. E. Richardson , Noah Marusenko , Michael P. Friedlander

Density Estimation Trees (DETs) are decision trees trained on a multivariate dataset to estimate its probability density function. While not competitive with kernel techniques in terms of accuracy, they are incredibly fast, embarrassingly…

Applications · Statistics 2016-12-21 Lucio Anderlini

Model ensembling is a well-established technique for improving the performance of machine learning models. Conventionally, this involves averaging the output distributions of multiple models and selecting the most probable label. This idea…

Machine Learning · Computer Science 2026-05-26 Jiale Fu , Yuchu Jiang , Peijun Wu , Chonghan Liu , Joey Tianyi Zhou , Xu Yang

This paper investigates the robustness and optimality of the multi-kernel correntropy (MKC) on linear regression. We first derive an upper error bound for a scalar regression problem in the presence of arbitrarily large outliers and reveal…

Systems and Control · Electrical Eng. & Systems 2023-10-12 Shilei Li , Yunjiang Lou , Dawei Shi , Lijing Li , Ling Shi

We present a general framework for accelerating a large class of widely used Markov chain Monte Carlo (MCMC) algorithms. Our approach exploits fast, iterative approximations to the target density to speculatively evaluate many potential…

Machine Learning · Statistics 2014-03-31 Elaine Angelino , Eddie Kohler , Amos Waterland , Margo Seltzer , Ryan P. Adams

The eXtreme Multi-label text Classification(XMC) refers to training a classifier that assigns a text sample with relevant labels from an extremely large-scale label set (e.g., millions of labels). We propose MatchXML, an efficient…

Computation and Language · Computer Science 2024-03-12 Hui Ye , Rajshekhar Sunderraman , Shihao Ji

Locally Checkable Labeling (LCL) problems are graph problems in which a solution is correct if it satisfies some given constraints in the local neighborhood of each node. Example problems in this class include maximal matching, maximal…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-22 Alkida Balliu , Sebastian Brandt , Manuela Fischer , Rustam Latypov , Yannic Maus , Dennis Olivetti , Jara Uitto

Recent contributions have framed linear system identification as a nonparametric regularized inverse problem. Relying on $\ell_2$-type regularization which accounts for the stability and smoothness of the impulse response to be estimated,…

Systems and Control · Computer Science 2016-09-30 Giulia Prando , Gianluigi Pillonetto , Alessandro Chiuso

Multimodal data is a precious asset enabling a variety of downstream tasks in machine learning. However, real-world data collected across different modalities is often not paired, which is a significant challenge to learn a joint…

Machine Learning · Computer Science 2025-08-11 Mustapha Bounoua , Giulio Franzese , Pietro Michiardi

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…

Econometrics · Economics 2025-09-03 Hoang Giang Pham , Tien Mai , Minh Ha Hoang

Kernel methods are extensively employed for nonlinear data clustering, yet their effectiveness heavily relies on selecting suitable kernels and associated parameters, posing challenges in advance determination. In response, Multiple Kernel…

Machine Learning · Computer Science 2024-05-28 Yan Chen , Liang Du , Lei Duan

We construct a new framework for accelerating Markov chain Monte Carlo in posterior sampling problems where standard methods are limited by the computational cost of the likelihood, or of numerical models embedded therein. Our approach…

Methodology · Statistics 2017-01-06 Patrick R. Conrad , Youssef M. Marzouk , Natesh S. Pillai , Aaron Smith

Extreme multi-label classification (XMC) aims to learn a model that can tag data points with a subset of relevant labels from an extremely large label set. Real world e-commerce applications like personalized recommendations and product…

Machine Learning · Computer Science 2021-09-23 Tavor Z. Baharav , Daniel L. Jiang , Kedarnath Kolluri , Sujay Sanghavi , Inderjit S. Dhillon

Available works addressing multi-label classification in a data stream environment focus on proposing accurate models; however, these models often exhibit inefficiency and cannot balance effectiveness and efficiency. In this work, we…

Machine Learning · Computer Science 2023-10-03 Sepehr Bakhshi , Fazli Can

Trajectory optimizers for model-based reinforcement learning, such as the Cross-Entropy Method (CEM), can yield compelling results even in high-dimensional control tasks and sparse-reward environments. However, their sampling inefficiency…