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This paper proposes a non-intrusive, data-driven reduced-order modeling framework for stochastic optimal control problems governed by partial differential equations. The control problem is formulated with a quadratic cost functional and…

最优化与控制 · 数学 2026-05-20 Lingling Ma , Jingyi Zhang , Qiuqi Li

This paper provides new insight into maximizing F1 scores in the context of binary classification and also in the context of multilabel classification. The harmonic mean of precision and recall, F1 score is widely used to measure the…

机器学习 · 统计学 2014-05-15 Zachary Chase Lipton , Charles Elkan , Balakrishnan Narayanaswamy

Considering the issue of estimating small probabilities p, ie. measuring a rare domain F = {x | g(x) > q} with respect to the distribution of a random vector X, Multilevel Splitting strategies (also called Subset Simulation) aim at writing…

统计计算 · 统计学 2015-09-10 Clément Walter

The expectation-maximization (EM) algorithm is an iterative method for finding maximum likelihood estimates when data are incomplete or are treated as being incomplete. The EM algorithm and its variants are commonly used for parameter…

统计计算 · 统计学 2013-06-26 Ryan P. Browne , Sanjeena Subedi , Paul McNicholas

We consider the optimization of complex performance metrics in multi-label classification under the population utility framework. We mainly focus on metrics linearly decomposable into a sum of binary classification utilities applied…

In multi-label classification, where the evaluation of predictions is less straightforward than in single-label classification, various meaningful, though different, loss functions have been proposed. Ideally, the learning algorithm should…

机器学习 · 计算机科学 2020-06-25 Michael Rapp , Eneldo Loza Mencía , Johannes Fürnkranz , Vu-Linh Nguyen , Eyke Hüllermeier

Semi-supervised learning has received attention from researchers, as it allows one to exploit the structure of unlabeled data to achieve competitive classification results with much fewer labels than supervised approaches. The Local and…

机器学习 · 计算机科学 2022-01-11 Bruno Klaus de Aquino Afonso , Lilian Berton

Minimisation of discrete energies defined over factors is an important problem in computer vision, and a vast number of MAP inference algorithms have been proposed. Different inference algorithms perform better on factor graph models (GMs)…

计算机视觉与模式识别 · 计算机科学 2016-08-10 Paul Henderson , Vittorio Ferrari

We consider the situation where the observed sample contains some observations whose class of origin is known (that is, they are classified with respect to the g underlying classes of interest), and where the remaining observations in the…

机器学习 · 统计学 2020-04-15 Geoffrey J. McLachlan , Daniel Ahfock

Experimental designs for a generalized linear model (GLM) often depend on the specification of the model, including the link function, the predictors, and unknown parameters, such as the regression coefficients. To deal with uncertainties…

统计方法学 · 统计学 2026-05-12 Yiou Li , Lulu Kang , Xinwei Deng

Multi-label feature selection serves as an effective mean for dealing with high-dimensional multi-label data. To achieve satisfactory performance, existing methods for multi-label feature selection often require the centralization of…

机器学习 · 计算机科学 2024-08-28 Yukun Song , Dayuan Cao , Jiali Miao , Shuai Yang , Kui Yu

F-measures are popular performance metrics, particularly for tasks with imbalanced data sets. Algorithms for learning to maximize F-measures follow two approaches: the empirical utility maximization (EUM) approach learns a classifier having…

机器学习 · 计算机科学 2012-06-22 Ye Nan , Kian Ming Chai , Wee Sun Lee , Hai Leong Chieu

We propose a novel Riemannian method for solving the Extreme multi-label classification problem that exploits the geometric structure of the sparse low-dimensional local embedding models. A constrained optimization problem is formulated as…

最优化与控制 · 数学 2021-10-01 Jayadev Naram , Tanmay Kumar Sinha , Pawan Kumar

Gaussian Mixture Models (GMMs) range among the most frequently used models in machine learning. However, training large, general GMMs becomes computationally prohibitive for datasets that have many data points $N$ of high-dimensionality…

机器学习 · 统计学 2025-12-12 Sebastian Salwig , Till Kahlke , Florian Hirschberger , Dennis Forster , Jörg Lücke

Algorithms for computing or approximating optimal decompositions for decompositional parameters such as treewidth or clique-width have so far traditionally been tailored to specific width parameters. Moreover, for mim-width, no efficient…

数据结构与算法 · 计算机科学 2021-10-01 Eduard Eiben , Robert Ganian , Thekla Hamm , Lars Jaffke , O-Joung Kwon

Even with the luxury of having abundant data, multi-label classification is widely known to be a challenging task to address. This work targets the problem of multi-label meta-learning, where a model learns to predict multiple labels within…

计算机视觉与模式识别 · 计算机科学 2021-10-27 Christian Simon , Piotr Koniusz , Mehrtash Harandi

Quantum labeling tasks ask one to recover the missing associations between classical outcome labels and the effects forming the POVM. We study labeling in the multiple-shot regime, allowing a finite number of uses of the device and the most…

量子物理 · 物理学 2026-04-02 Seyed Arash Ghoreishi , Nidhin Sudarsanan Ragini , Sk Sazim , Mario Ziman

Multi-label classification is becoming increasingly ubiquitous, but not much attention has been paid to interpretability. In this paper, we develop a multi-label classifier that can be represented as a concise set of simple "if-then" rules,…

机器学习 · 计算机科学 2022-11-09 Martino Ciaperoni , Han Xiao , Aristides Gionis

Semi-supervised learning is being extensively applied to estimate classifiers from training data in which not all the labels of the feature vectors are available. We present gmmsslm, an R package for estimating the Bayes' classifier from…

统计计算 · 统计学 2024-04-18 Ziyang Lyu , Daniel Ahfock , Ryan Thompson , Geoffrey J. McLachlan

Functional Gaussian graphical models (GGM) used for analyzing multivariate functional data customarily estimate an unknown graphical model representing the conditional relationships between the functional variables. However, in many…

统计方法学 · 统计学 2024-10-03 Debangan Dey , Sudipto Banerjee , Martin Lindquist , Abhirup Datta