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Low-dimensional embedding, manifold learning, clustering, classification, and anomaly detection are among the most important problems in machine learning. The existing methods usually consider the case when each instance has a fixed,…

Machine Learning · Computer Science 2012-02-20 Barnabas Poczos , Liang Xiong , Jeff Schneider

Semi-supervised anomaly detection, which aims to improve the anomaly detection performance by using a small amount of labeled anomaly data in addition to unlabeled data, has attracted attention. Existing semi-supervised approaches assume…

Machine Learning · Statistics 2025-02-11 Hiroshi Takahashi , Tomoharu Iwata , Atsutoshi Kumagai , Yuuki Yamanaka

We present a novel approach to semi-supervised learning which is based on statistical physics. Most of the former work in the field of semi-supervised learning classifies the points by minimizing a certain energy function, which corresponds…

Machine Learning · Computer Science 2007-05-23 Gad Getz , Noam Shental , Eytan Domany

In this work, we address the question of how to enhance signal-agnostic searches by leveraging multiple testing strategies. Specifically, we consider hypothesis tests relying on machine learning, where model selection can introduce a bias…

High Energy Physics - Phenomenology · Physics 2024-08-23 Gaia Grosso , Marco Letizia

In this article, we propose two classes of semiparametric mixture regression models with single-index for model based clustering. Unlike many semiparametric/nonparametric mixture regression models that can only be applied to low dimensional…

Methodology · Statistics 2017-08-15 Sijia Xiang , Weixin Yao

Learning with complete or partial supervision is powerful but relies on ever-growing human annotation efforts. As a way to mitigate this serious problem, as well as to serve specific applications, unsupervised learning has emerged as an…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Huy V. Vo , Francis Bach , Minsu Cho , Kai Han , Yann LeCun , Patrick Perez , Jean Ponce

This brief sketches initial progress towards a unified energy-based solution for the semi-supervised visual anomaly detection and localization problem. In this setup, we have access to only anomaly-free training data and want to detect and…

Machine Learning · Computer Science 2021-05-10 Ergin Utku Genc , Nilesh Ahuja , Ibrahima J Ndiour , Omesh Tickoo

Practical problems with missing data are common, and statistical methods have been developed concerning the validity and/or efficiency of statistical procedures. On a central focus, there have been longstanding interests on the mechanism…

Methodology · Statistics 2020-03-26 Rui Duan , C. Jason Liang , Pamela Shaw , Cheng Yong Tang , Yong Chen

We consider the problem of analyzing the structure of spectroscopic cubes using unsupervised machine learning techniques. We propose representing the target's signal as a homogeneous set of volumes through an iterative algorithm that…

Instrumentation and Methods for Astrophysics · Physics 2018-06-15 Mauricio Araya , Marcelo Mendoza , Mauricio Solar , Diego Mardones , Amelia Bayo

Many questions of fundamental interest in todays science can be formulated as inference problems: Some partial, or noisy, observations are performed over a set of variables and the goal is to recover, or infer, the values of the variables…

Statistical Mechanics · Physics 2018-01-24 Lenka Zdeborová , Florent Krzakala

Source coding is the canonical problem of data compression in information theory. In a locally encodable source coding, each compressed bit depends on only few bits of the input. In this paper, we show that a recently popular model of…

Machine Learning · Statistics 2020-11-10 Arya Mazumdar , Soumyabrata Pal

We consider several detection situations where, under the alternative hypothesis, the signal admits a low complexity model and, under both the null and the alternative hypotheses, the distribution of the background noise is {unknown}. We…

Instrumentation and Methods for Astrophysics · Physics 2020-12-08 D. Mary , S. Bourguignon , E. Roquain , S. Sulis , M. Perrot-Dockes

Within scientific and real life problems, classification is a typical case of extremely complex tasks in data-driven scenarios, especially if approached with traditional techniques. Machine Learning supervised and unsupervised paradigms,…

Instrumentation and Methods for Astrophysics · Physics 2018-07-13 Giuseppe Angora , Massimo Brescia , Stefano Cavuoti , Giuseppe Riccio , Maurizio Paolillo , Thomas H. Puzia

To mitigate the model dependencies of searches for new narrow resonances at the Large Hadron Collider (LHC), semi-supervised Neural Networks (NNs) can be used. Unlike fully supervised classifiers these models introduce an additional…

High Energy Physics - Phenomenology · Physics 2024-11-22 Benjamin Lieberman , Salah-Eddine Dahbi , Andreas Crivellin , Finn Stevenson , Nidhi Tripathi , Mukesh Kumar , Bruce Mellado

In a multiple testing context, we consider a semiparametric mixture model with two components where one component is known and corresponds to the distribution of $p$-values under the null hypothesis and the other component $f$ is…

Applications · Statistics 2013-04-04 Van Hanh Nguyen , Catherine Matias

This invited paper proposes and discusses several Bayesian attempts at nonparametric and semiparametric density estimation. The main categories of these ideas are as follows: 1) Build a nonparametric prior around a given parametric model.…

Statistics Theory · Mathematics 2026-04-23 Nils Lid Hjort

This work presents an unsupervised deep discriminant analysis for clustering. The method is based on deep neural networks and aims to minimize the intra-cluster discrepancy and maximize the inter-cluster discrepancy in an unsupervised…

Machine Learning · Computer Science 2022-06-13 Jinyu Cai , Wenzhong Guo , Jicong Fan

We investigate a new structure for machine learning classifiers applied to problems in high-energy physics by expanding the inputs to include not only measured features but also physics parameters. The physics parameters represent a…

High Energy Physics - Experiment · Physics 2016-05-25 Pierre Baldi , Kyle Cranmer , Taylor Faucett , Peter Sadowski , Daniel Whiteson

Parameter identification problems are formulated in a probabilistic language, where the randomness reflects the uncertainty about the knowledge of the true values. This setting allows conceptually easily to incorporate new information, e.g.…

Numerical Analysis · Computer Science 2013-03-19 Bojana V. Rosić , Anna Kučerová , Jan Sýkora , Oliver Pajonk , Alexander Litvinenko , Hermann G. Matthies

In this paper we develop a principled, probabilistic, unified approach to non-standard classification tasks, such as semi-supervised, positive-unlabelled, multi-positive-unlabelled and noisy-label learning. We train a classifier on the…

Machine Learning · Computer Science 2020-06-17 Jeppe Nørregaard , Lars Kai Hansen