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We take a new look at parameter estimation for Gaussian Mixture Models (GMMs). In particular, we propose using \emph{Riemannian manifold optimization} as a powerful counterpart to Expectation Maximization (EM). An out-of-the-box invocation…

Machine Learning · Statistics 2015-06-26 Reshad Hosseini , Suvrit Sra

We consider the estimation problem in high-dimensional semi-supervised learning. Our goal is to investigate when and how the unlabeled data can be exploited to improve the estimation of the regression parameters of linear model in light of…

Methodology · Statistics 2023-03-21 Siyi Deng , Yang Ning , Jiwei Zhao , Heping Zhang

Logistic models are commonly used for binary classification tasks. The success of such models has often been attributed to their connection to maximum-likelihood estimators. It has been shown that gradient descent algorithm, when applied on…

Machine Learning · Statistics 2020-10-30 Fariborz Salehi , Ehsan Abbasi , Babak Hassibi

Quantification learning deals with the task of estimating the target label distribution under label shift. In this paper, we first present a unifying framework, distribution feature matching (DFM), that recovers as particular instances…

Machine Learning · Statistics 2023-07-04 Bastien Dussap , Gilles Blanchard , Badr-Eddine Chérief-Abdellatif

Semi-supervised learning has attracted significant attention due to the proliferation of applications featuring limited labeled data but abundant unlabeled data. In this paper, we examine the statistical inference problem in an…

Methodology · Statistics 2026-03-31 Chao Ying , Siyi Deng , Yang Ning , Jiwei Zhao , Heping Zhang

A design optimization framework for process parameters of additive manufacturing based on finite element simulation is proposed. The finite element method uses a coupled thermomechanical model developed for fused deposition modeling from…

Numerical Analysis · Mathematics 2025-01-29 Jingyi Wang , Panayiotis Papadopoulos

Multi-label classification is a type of supervised learning where an instance may belong to multiple labels simultaneously. Predicting each label independently has been criticized for not exploiting any correlation between labels. In this…

Machine Learning · Statistics 2023-10-25 Hyukjun Gweon , Matthias Schonlau , Stefan Steiner

We consider the problem of jointly inferring the M-best diverse labelings for a binary (high-order) submodular energy of a graphical model. Recently, it was shown that this problem can be solved to a global optimum, for many practically…

Computer Vision and Pattern Recognition · Computer Science 2016-06-24 Alexander Kirillov , Alexander Shekhovtsov , Carsten Rother , Bogdan Savchynskyy

Multi-label classification (MLC) is an ML task of predictive modeling in which a data instance can simultaneously belong to multiple classes. MLC is increasingly gaining interest in different application domains such as text mining,…

Machine Learning · Computer Science 2022-11-22 Ana Kostovska , Carola Doerr , Sašo Džeroski , Dragi Kocev , Panče Panov , Tome Eftimov

Non-linear performance measures are widely used for the evaluation of learning algorithms. For example, $F$-measure is a commonly used performance measure for classification problems in machine learning and information retrieval community.…

Machine Learning · Computer Science 2018-01-03 Shameem A Puthiya Parambath , Nicolas Usunier , Yves Grandvalet

In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

Machine Learning · Statistics 2026-03-23 Xinyu Liu , Hai Zhang

We consider sequential maximization of performance metrics that are general functions of a confusion matrix of a classifier (such as precision, F-measure, or G-mean). Such metrics are, in general, non-decomposable over individual instances,…

Machine Learning · Computer Science 2024-06-24 Wojciech Kotłowski , Marek Wydmuch , Erik Schultheis , Rohit Babbar , Krzysztof Dembczyński

We study the few-shot learning (FSL) problem, where a model learns to recognize new objects with extremely few labeled training data per category. Most of previous FSL approaches resort to the meta-learning paradigm, where the model…

Computer Vision and Pattern Recognition · Computer Science 2021-09-08 Zejiang Hou , Sun-Yuan Kung

Score-based generative models (SGMs) are a popular family of deep generative models that achieve leading image generation quality. Early studies extend SGMs to tackle class-conditional generation by coupling an unconditional SGM with the…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Paul Kuo-Ming Huang , Si-An Chen , Hsuan-Tien Lin

The problem of estimating multiple loss parameters of an optical system using the most general ancilla-assisted parallel strategy is solved under energy constraints. An upper bound on the quantum Fisher information matrix is derived…

Quantum Physics · Physics 2018-12-12 Ranjith Nair

In this paper, we propose oversampling strategies in the Generalized Multiscale Finite Element Method (GMsFEM) framework. The GMsFEM, which has been recently introduced in [12], allows solving multiscale parameter-dependent problems at a…

Analysis of PDEs · Mathematics 2013-04-18 Yalchin Efendiev , Juan Galvis , Guanglian Li , Michael Presho

In recent years, multi-label classification problem has become a controversial issue. In this kind of classification, each sample is associated with a set of class labels. Ensemble approaches are supervised learning algorithms in which an…

Machine Learning · Computer Science 2018-01-09 Amirreza Mahdavi-Shahri , Mahboobeh Houshmand , Mahdi Yaghoobi , Mehrdad Jalali

So far, multi-label classification algorithms have been evaluated using statistical methods that do not consider the semantics of the considered classes and that fully depend on abstract computations such as Bayesian Reasoning. Currently,…

Machine Learning · Computer Science 2021-08-17 Houcemeddine Turki , Mohamed Ali Hadj Taieb , Mohamed Ben Aouicha

Algorithm performance in supervised learning is a combination of memorization, generalization, and luck. By estimating how much information an algorithm can memorize from a dataset, we can set a lower bound on the amount of performance due…

Machine Learning · Computer Science 2020-03-19 Pedro Sandoval Segura , Julius Lauw , Daniel Bashir , Kinjal Shah , Sonia Sehra , Dominique Macias , George Montanez

In this work we consider a problem of multi-label classification, where each instance is associated with some binary vector. Our focus is to find a classifier which minimizes false negative discoveries under constraints. Depending on the…

Statistics Theory · Mathematics 2019-03-29 Evgenii Chzhen