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Data collection costs can vary widely across variables in data science tasks. Two-phase designs can be employed to save data collection costs. This paper considers the two-phase studies where inexpensive variables are collected for all…

Methodology · Statistics 2025-12-04 Ruoyu Wang , Qihua Wang , Wang Miao

The goal of classification with rejection is to avoid risky misclassification in error-critical applications such as medical diagnosis and product inspection. In this paper, based on the relationship between classification with rejection…

Machine Learning · Statistics 2021-09-30 Nontawat Charoenphakdee , Zhenghang Cui , Yivan Zhang , Masashi Sugiyama

Empirical risk minimization is the main tool for prediction problems, but its extension to relational data remains unsolved. We solve this problem using recent ideas from graph sampling theory to (i) define an empirical risk for relational…

Machine Learning · Statistics 2019-02-25 Victor Veitch , Morgane Austern , Wenda Zhou , David M. Blei , Peter Orbanz

We consider a multi-hypothesis testing problem involving a K-armed bandit. Each arm's signal follows a distribution from a vector exponential family. The actual parameters of the arms are unknown to the decision maker. The decision maker…

Information Theory · Computer Science 2022-06-13 Gayathri R Prabhu , Srikrishna Bhashyam , Aditya Gopalan , Rajesh Sundaresan

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

Partial multi-label learning and complementary multi-label learning are two popular weakly supervised multi-label classification paradigms that aim to alleviate the high annotation costs of collecting precisely annotated multi-label data.…

Machine Learning · Computer Science 2026-02-26 Wei Wang , Tianhao Ma , Ming-Kun Xie , Gang Niu , Masashi Sugiyama

In this paper, a novel approach is proposed for multi-target joint detection, tracking and classification based on the labeled random finite set and generalized Bayesian risk using Radar and ESM sensors. A new Bayesian risk is defined for…

Signal Processing · Electrical Eng. & Systems 2018-07-09 Minzhe Li , Zhongliang Jing

While instruction fine-tuned LLMs are effective text generators, sensitivity to prompt construction makes performance unstable and sub-optimal in practice. Relying on a single "best" prompt cannot capture all differing approaches to a…

Computation and Language · Computer Science 2024-10-07 David Heineman , Yao Dou , Wei Xu

Data imbalance between common and rare diseases during model training often causes intelligent diagnosis systems to have biased predictions towards common diseases. The state-of-the-art approaches apply a two-stage learning framework to…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Chenghua Zeng , Huijuan Lu , Kanghao Chen , Ruixuan Wang , Wei-Shi Zheng

Learning from triplet comparison data has been extensively studied in the context of metric learning, where we want to learn a distance metric between two instances, and ordinal embedding, where we want to learn an embedding in an Euclidean…

Machine Learning · Computer Science 2020-04-21 Zhenghang Cui , Nontawat Charoenphakdee , Issei Sato , Masashi Sugiyama

Classification is an important statistical learning tool. In real application, besides high prediction accuracy, it is often desirable to estimate class conditional probabilities for new observations. For traditional problems where the…

Statistics Theory · Mathematics 2025-03-18 Guo Xian Yau , Chong Zhang

Primarily motivated by the drug development process, several publications have now presented methodology for the design of multi-arm multi-stage experiments with normally distributed outcome variables of known variance. Here, we extend…

Methodology · Statistics 2017-12-04 Michael Grayling , James Wason , Adrian Mander

Traditional error detection approaches require user-defined parameters and rules. Thus, the user has to know both the error detection system and the data. However, we can also formulate error detection as a semi-supervised classification…

Machine Learning · Computer Science 2019-08-20 Felix Neutatz , Mohammad Mahdavi , Ziawasch Abedjan

Inverse reinforcement learning (IRL) usually assumes the reward function model is pre-specified as a weighted sum of features and estimates the weighting parameters only. However, how to select features and determine a proper reward model…

Machine Learning · Computer Science 2025-04-01 Chendi Qu , Jianping He , Xiaoming Duan , Jiming Chen

One of the most important problems in system identification and statistics is how to estimate the unknown parameters of a given model. Optimization methods and specialized procedures, such as Empirical Minimization (EM) can be used in case…

Methodology · Statistics 2024-02-09 Braghadeesh Lakshminarayanan , Cristian R. Rojas

In this paper we propose strategies for estimating performance of a classifier when labels cannot be obtained for the whole test set. The number of test instances which can be labeled is very small compared to the whole test data size. The…

Machine Learning · Computer Science 2018-02-21 Anurag Kumar , Bhiksha Raj

Collecting large quantities of high-quality data can be prohibitively expensive or impractical, and a bottleneck in machine learning. One may instead augment a small set of $n$ data points from the target distribution with data from more…

Machine Learning · Computer Science 2024-12-05 Ayush Jain , Andrea Montanari , Eren Sasoglu

We consider large scale empirical risk minimization (ERM) problems, where both the problem dimension and variable size is large. In these cases, most second order methods are infeasible due to the high cost in both computing the Hessian…

Optimization and Control · Mathematics 2017-05-24 Mark Eisen , Aryan Mokhtari , Alejandro Ribeiro

This guide provides a reference for high-probability regret bounds in empirical risk minimization (ERM). The presentation is modular: we begin with intuition and general proof strategies, then state broadly applicable guarantees under…

Machine Learning · Statistics 2026-03-04 Lars van der Laan

Rejection sampling methods have recently been proposed to improve the performance of discriminator-based generative models. However, these methods are only optimal under an unlimited sampling budget, and are usually applied to a generator…

Machine Learning · Computer Science 2024-03-04 Alexandre Verine , Muni Sreenivas Pydi , Benjamin Negrevergne , Yann Chevaleyre