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In many problems, a sensible estimator of a possibly multivariate monotone function may itself fail to be monotone. We study the correction of such an estimator obtained via projection onto the space of functions monotone over a finite grid…

Statistics Theory · Mathematics 2019-09-06 Ted Westling , Mark van der Laan , Marco Carone

Recent unsupervised contrastive representation learning follows a Single Instance Multi-view (SIM) paradigm where positive pairs are usually constructed with intra-image data augmentation. In this paper, we propose an effective approach…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Xiangxiang Chu , Xiaohang Zhan , Bo Zhang

Decision-makers often act in response to data-driven predictions, with the goal of achieving favorable outcomes. In such settings, predictions don't passively forecast the future; instead, predictions actively shape the distribution of…

Machine Learning · Computer Science 2023-01-10 Michael P. Kim , Juan C. Perdomo

Many engineered systems must balance competing objectives, such as performance and safety, cost and reliability, or efficiency and sustainability, and are naturally modeled as compositions of interacting subsystems. We study online…

Optimization and Control · Mathematics 2026-04-27 Meshal Alharbi , Munther A. Dahleh , Gioele Zardini

We consider the basic problem of learning Single-Index Models with respect to the square loss under the Gaussian distribution in the presence of adversarial label noise. Our main contribution is the first computationally efficient algorithm…

Machine Learning · Computer Science 2025-08-07 Puqian Wang , Nikos Zarifis , Ilias Diakonikolas , Jelena Diakonikolas

This manuscript bridges nonparametric smoothness-based and shape-restricted estimation, which may appear as two disjoint paradigms in the field. The proposed approach is motivated by a conceptually simple observation: every Lipschitz…

Methodology · Statistics 2026-05-22 Kenta Takatsu , Tianyu Zhang , Arun Kumar Kuchibhotla

We study bilinear embedding models for the task of multi-relational link prediction and knowledge graph completion. Bilinear models belong to the most basic models for this task, they are comparably efficient to train and use, and they can…

Machine Learning · Computer Science 2017-09-15 Yanjie Wang , Rainer Gemulla , Hui Li

Introduced as a notion of algorithmic fairness, multicalibration has proved to be a powerful and versatile concept with implications far beyond its original intent. This stringent notion -- that predictions be well-calibrated across a rich…

Machine Learning · Computer Science 2022-06-17 Parikshit Gopalan , Michael P. Kim , Mihir Singhal , Shengjia Zhao

An agnostic PAC learning algorithm finds a predictor that is competitive with the best predictor in a benchmark hypothesis class, where competitiveness is measured with respect to a given loss function. However, its predictions might be…

Machine Learning · Computer Science 2021-05-24 Guy N Rothblum , Gal Yona

State-of-the-art schemes for performance analysis and optimization of multiple-input multiple-output systems generally experience degradation or even become invalid in dynamic complex scenarios with unknown interference and channel state…

Information Theory · Computer Science 2022-07-01 Fan Meng , Shengheng Liu , Yongming Huang , Zhaohua Lu

Online-learning research has mainly been focusing on minimizing one objective function. In many real-world applications, however, several objective functions have to be considered simultaneously. Recently, an algorithm for dealing with…

Machine Learning · Computer Science 2017-03-21 Guy Uziel , Ran El-Yaniv

Loss functions serve as the foundation of supervised learning and are often chosen prior to model development. To avoid potentially ad hoc choices of losses, statistical decision theory describes a desirable property for losses known as…

Machine Learning · Statistics 2023-11-30 Kevin Lam , Christian Walder , Spiridon Penev , Richard Nock

Time series forecasting relies on predicting future values from historical data, yet most state-of-the-art approaches-including transformer and multilayer perceptron-based models-optimize using Mean Squared Error (MSE), which has two…

Machine Learning · Computer Science 2025-12-01 Jieting Wang , Xiaolei Shang , Feijiang Li , Furong Peng

Machine learning (ML) is increasingly being used to make decisions in our society. ML models, however, can be unfair to certain demographic groups (e.g., African Americans or females) according to various fairness metrics. Existing…

Computers and Society · Computer Science 2021-03-17 Hantian Zhang , Xu Chu , Abolfazl Asudeh , Shamkant B. Navathe

We address the problem of aggregating an ensemble of predictors with known loss bounds in a semi-supervised binary classification setting, to minimize prediction loss incurred on the unlabeled data. We find the minimax optimal predictions…

Machine Learning · Computer Science 2016-11-08 Akshay Balsubramani , Yoav Freund

We study the power of query access for the task of agnostic learning under the Gaussian distribution. In the agnostic model, no assumptions are made on the labels and the goal is to compute a hypothesis that is competitive with the {\em…

Machine Learning · Computer Science 2023-12-29 Ilias Diakonikolas , Daniel M. Kane , Vasilis Kontonis , Christos Tzamos , Nikos Zarifis

Ranking models primarily focus on modeling the relative order of predictions while often neglecting the significance of the accuracy of their absolute values. However, accurate absolute values are essential for certain downstream tasks,…

Information Retrieval · Computer Science 2025-04-22 Yimeng Bai , Shunyu Zhang , Yang Zhang , Hu Liu , Wentian Bao , Enyun Yu , Fuli Feng , Wenwu Ou

This article presents a new polynomial parameterized sigmoid called SIGTRON, which is an extended asymmetric sigmoid with Perceptron, and its companion convex model called SIGTRON-imbalanced classification (SIC) model that employs a virtual…

Machine Learning · Computer Science 2024-05-01 Hyenkyun Woo

In this article, we propose a class of semiparametric mixture regression models with single-index. We argue that many recently proposed semiparametric/nonparametric mixture regression models can be considered special cases of the proposed…

Methodology · Statistics 2016-10-04 Sijia Xiang , Weixin Yao

A pseudo independent (PI) model is a probabilistic domain model (PDM) where proper subsets of a set of collectively dependent variables display marginal independence. PI models cannot be learned correctly by many algorithms that rely on a…

Artificial Intelligence · Computer Science 2013-02-08 Jun Hu , Yang Xiang