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We consider a high dimensional binary classification problem and construct a classification procedure by minimizing the empirical misclassification risk with a penalty on the number of selected features. We derive non-asymptotic probability…

统计方法学 · 统计学 2018-11-26 Le-Yu Chen , Sokbae Lee

A wide array of machine learning problems are formulated as the minimization of the expectation of a convex loss function on some parameter space. Since the probability distribution of the data of interest is usually unknown, it is is often…

最优化与控制 · 数学 2019-05-27 Emilie Chouzenoux , Henri Gérard , Jean-Christophe Pesquet

In Bayesian optimization, accounting for the importance of the output relative to the input is a crucial yet challenging exercise, as it can considerably improve the final result but often involves inaccurate and cumbersome entropy…

机器学习 · 计算机科学 2020-12-30 Antoine Blanchard , Themistoklis Sapsis

Deep neural networks have shown impressive performance in supervised learning, enabled by their ability to fit well to the provided training data. However, their performance is largely dependent on the quality of the training data and often…

机器学习 · 计算机科学 2021-11-11 Abhishek Kumar , Ehsan Amid

Importance weighted variational inference (Burda et al., 2015) uses multiple i.i.d. samples to have a tighter variational lower bound. We believe a joint proposal has the potential of reducing the number of redundant samples, and introduce…

机器学习 · 计算机科学 2019-05-14 Chin-Wei Huang , Kris Sankaran , Eeshan Dhekane , Alexandre Lacoste , Aaron Courville

We develop a worst-case analysis of aggregation of classifier ensembles for binary classification. The task of predicting to minimize error is formulated as a game played over a given set of unlabeled data (a transductive setting), where…

机器学习 · 计算机科学 2015-06-22 Akshay Balsubramani , Yoav Freund

Motivated by real-world situations found in high energy particle physics, we consider a generalisation of the likelihood-ratio estimation task to a quasiprobabilistic setting where probability densities can be negative. By extension, this…

机器学习 · 统计学 2024-10-15 Matthew Drnevich , Stephen Jiggins , Judith Katzy , Kyle Cranmer

Binary classification rules based on covariates typically depend on simple loss functions such as zero-one misclassification. Some cases may require more complex loss functions. For example, individual-level monitoring of HIV-infected…

机器学习 · 统计学 2019-05-14 Yizhen Xu , Tao Liu , Michael J. Daniels , Rami Kantor , Ann Mwangi , Joseph W. Hogan

Machine learning (ML) algorithms have been employed in the problem of classifying signal and background events with high accuracy in particle physics. In this paper, we compare the performance of a widespread ML technique, namely,…

高能物理 - 唯象学 · 物理学 2017-06-01 Alexandre Alves

This paper introduces a general multi-class approach to weakly supervised classification. Inferring the labels and learning the parameters of the model is usually done jointly through a block-coordinate descent algorithm such as…

机器学习 · 计算机科学 2012-07-03 Armand Joulin , Francis Bach

The notion of duality -- that a given physical system can have two different mathematical descriptions -- is a key idea in modern theoretical physics. Establishing a duality in lattice statistical mechanics models requires the construction…

统计力学 · 物理学 2024-11-08 Andrea E. V. Ferrari , Prateek Gupta , Nabil Iqbal

In hierarchical multi-label classification, a persistent challenge is enabling model predictions to reach deeper levels of the hierarchy for more detailed or fine-grained classifications. This difficulty partly arises from the natural…

机器学习 · 计算机科学 2026-02-10 Isaac Xu , Martin Gillis , Ayushi Sharma , Benjamin Misiuk , Craig J. Brown , Thomas Trappenberg

The aim of this work is to propose a meta-algorithm for automatic classification in the presence of discrete binary classes. Classifier learning in the presence of overlapping class distributions is a challenging problem in machine…

机器学习 · 统计学 2020-01-22 Vidhi Lalchand

Convex clustering has recently garnered increasing interest due to its attractive theoretical and computational properties, but its merits become limited in the face of high-dimensional data. In such settings, pairwise affinity terms that…

统计方法学 · 统计学 2021-04-02 Saptarshi Chakraborty , Jason Xu

Deterministic solutions are becoming more critical for interpretability. Weighted Least-Squares (WLS) has been widely used as a deterministic batch solution with a specific weight design. In the online settings of WLS, exact reweighting is…

机器学习 · 计算机科学 2023-01-24 Se-In Jang

Categorizing events using discriminant observables is central to many high-energy physics analyses. Yet, bin boundaries are often chosen by hand. A simple, popular choice is to apply argmax projections of multi-class scores and equidistant…

数据分析、统计与概率 · 物理学 2026-01-13 Johannes Erdmann , Nitish Kumar Kasaraguppe , Florian Mausolf

Importance sampling has been successfully used to accelerate stochastic optimization in many convex problems. However, the lack of an efficient way to calculate the importance still hinders its application to Deep Learning. In this paper,…

机器学习 · 计算机科学 2017-09-14 Angelos Katharopoulos , François Fleuret

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

机器学习 · 计算机科学 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

We study a class of nonconvex nonsmooth optimization problems in which the objective is a sum of two functions: One function is the average of a large number of differentiable functions, while the other function is proper, lower…

最优化与控制 · 数学 2023-05-12 Duy-Nhat Phan , Sedi Bartz , Nilabja Guha , Hung M. Phan

We consider learning to optimize a classification metric defined by a black-box function of the confusion matrix. Such black-box learning settings are ubiquitous, for example, when the learner only has query access to the metric of…