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The main object of investigation in this paper is a very general regression model in optional setting - when an observed process is an optional semimartingale depending on an unknown parameter. It is well-known that statistical data may…

Statistics Theory · Mathematics 2021-03-16 Mohamed Abdelghani , Alexander Melnikov , Andrey Pak

In this paper, our aim is to analyse the generalization capabilities of first-order methods for statistical learning in multiple, different yet related, scenarios including supervised learning, transfer learning, robust learning and…

Machine Learning · Computer Science 2024-07-02 Kevin Scaman , Mathieu Even , Batiste Le Bars , Laurent Massoulié

Traditionally, practitioners initialize the {\tt k-means} algorithm with centers chosen uniformly at random. Randomized initialization with uneven weights ({\tt k-means++}) has recently been used to improve the performance over this…

Machine Learning · Statistics 2016-02-02 Jordan Yoder , Carey E. Priebe

Cross-modal data matching refers to retrieval of data from one modality, when given a query from another modality. In general, supervised algorithms achieve better retrieval performance compared to their unsupervised counterpart, as they…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Devraj Mandal , Pramod Rao , Soma Biswas

Given a collection of feature maps indexed by a set $\mathcal{T}$, we study the performance of empirical risk minimization (ERM) on regression problems with square loss over the union of the linear classes induced by these feature maps.…

Machine Learning · Statistics 2024-11-20 Ayoub El Hanchi , Chris J. Maddison , Murat A. Erdogdu

Learning from positive and unlabeled data (PU learning) is actively researched machine learning task. The goal is to train a binary classification model based on a training dataset containing part of positives which are labeled, and…

Machine Learning · Statistics 2023-12-29 Wojciech Rejchel , Paweł Teisseyre , Jan Mielniczuk

We consider the problem of selecting a subset of points from a dataset of $n$ unlabeled examples for labeling, with the goal of training a multiclass classifier. To address this, we build upon the regret minimization framework introduced by…

Machine Learning · Computer Science 2026-02-27 Youguang Chen , George Biros

We propose a general approach for supervised learning with structured output spaces, such as combinatorial and polyhedral sets, that is based on minimizing estimated conditional risk functions. Given a loss function defined over pairs of…

Machine Learning · Statistics 2017-02-28 Chong Yang Goh , Patrick Jaillet

Recently, pseudo label based semi-supervised learning has achieved great success in many fields. The core idea of the pseudo label based semi-supervised learning algorithm is to use the model trained on the labeled data to generate pseudo…

Machine Learning · Computer Science 2023-01-26 Zeping Min , Qian Ge , Cheng Tai

Offline model-based optimization (MBO) aims to identify a design that maximizes a black-box function using only a fixed, pre-collected dataset of designs and their corresponding scores. A common approach in offline MBO is to train a…

Machine Learning · Computer Science 2025-05-05 Rong-Xi Tan , Ke Xue , Shen-Huan Lyu , Haopu Shang , Yao Wang , Yaoyuan Wang , Sheng Fu , Chao Qian

This paper establishes bounds on the performance of empirical risk minimization for large-dimensional linear regression. We generalize existing results by allowing the data to be dependent and heavy-tailed. The analysis covers both the…

Econometrics · Economics 2025-04-23 Christian Brownlees , Guðmundur Stefán Guðmundsson

Parameter prediction is essential for many applications, facilitating insightful interpretation and decision-making. However, in many real life domains, such as power systems, medicine, and engineering, it can be very expensive to acquire…

Machine Learning · Computer Science 2024-02-16 Zimeng Lyu , Alexander Ororbia , Rui Li , Travis Desell

Deep learning demands a huge amount of well-labeled data to train the network parameters. How to use the least amount of labeled data to obtain the desired classification accuracy is of great practical significance, because for many…

Machine Learning · Computer Science 2019-12-20 Xiao Han , Zihao Wang , Enmei Tu , Gunnam Suryanarayana , Jie Yang

Semi-supervised ordinal regression (S$^2$OR) problems are ubiquitous in real-world applications, where only a few ordered instances are labeled and massive instances remain unlabeled. Recent researches have shown that directly optimizing…

Machine Learning · Computer Science 2019-12-25 Wanli Shi , Bin Gu , Xinag Li , Heng Huang

We consider the linear regression problem under semi-supervised settings wherein the available data typically consists of: (i) a small or moderate sized 'labeled' data, and (ii) a much larger sized 'unlabeled' data. Such data arises…

Methodology · Statistics 2018-07-02 Abhishek Chakrabortty , Tianxi Cai

In a wide range of statistical learning problems such as ranking, clustering or metric learning among others, the risk is accurately estimated by $U$-statistics of degree $d\geq 1$, i.e. functionals of the training data with low variance…

Machine Learning · Statistics 2019-01-25 Stéphan Clémençon , Aurélien Bellet , Igor Colin

A significant limitation of one-class classification anomaly detection methods is their reliance on the assumption that unlabeled training data only contains normal instances. To overcome this impractical assumption, we propose two novel…

Machine Learning · Computer Science 2023-09-04 Le Thi Khanh Hien , Sukanya Patra , Souhaib Ben Taieb

Ordinal Regression (OR) aims to model the ordering information between different data categories, which is a crucial topic in multi-label learning. An important class of approaches to OR models the problem as a linear combination of basis…

Machine Learning · Computer Science 2019-10-21 Chang Li , Maarten de Rijke

In conventional supervised pattern recognition tasks, model selection is typically accomplished by minimizing the classification error rate on a set of so-called development data, subject to ground-truth labeling by human experts or some…

Machine Learning · Statistics 2011-08-25 Christopher M. White , Sanjeev P. Khudanpur , Patrick J. Wolfe

As one of the central tasks in machine learning, regression finds lots of applications in different fields. An existing common practice for solving regression problems is the mean square error (MSE) minimization approach or its regularized…

Machine Learning · Statistics 2022-11-24 Jirong Yi , Qiaosheng Zhang , Zhen Chen , Qiao Liu , Wei Shao , Yusen He , Yaohua Wang