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Deep Metric Learning (DML) learns a non-linear semantic embedding from input data that brings similar pairs together while keeping dissimilar data away from each other. To this end, many different methods are proposed in the last decade…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Davood Zabihzadeh , Zahraa Alitbi , Seyed Jalaleddin Mousavirad

This paper considers estimation of the predictive density for a normal linear model with unknown variance under alpha-divergence loss for -1 <= alpha <= 1. We first give a general canonical form for the problem, and then give general…

Statistics Theory · Mathematics 2013-03-12 Yuzo Maruyama , William E. Strawderman

Loss functions determine what it means for an estimator to be optimal, yet the ways in which different losses impose structurally incompatible optimality requirements are not captured by existing decision-theoretic frameworks. This paper…

Statistics Theory · Mathematics 2025-12-17 Stanisław M. S. Halkiewicz

Machine learning classifiers often produce probabilistic predictions that are critical for accurate and interpretable decision-making in various domains. The quality of these predictions is generally evaluated with proper losses, such as…

Machine Learning · Computer Science 2025-06-26 Eugène Berta , David Holzmüller , Michael I. Jordan , Francis Bach

We present a more general analysis of $H$-calibration for adversarially robust classification. By adopting a finer definition of calibration, we can cover settings beyond the restricted hypothesis sets studied in previous work. In…

Machine Learning · Computer Science 2021-05-07 Pranjal Awasthi , Anqi Mao , Mehryar Mohri , Yutao Zhong

Kernel density estimation is a key component of a wide variety of algorithms in machine learning, Bayesian inference, stochastic dynamics and signal processing. However, the unsupervised density estimation technique requires tuning a…

Machine Learning · Computer Science 2025-12-17 Sunia Tanweer , Firas A. Khasawneh

Despite the enormous success of machine learning models in various applications, most of these models lack resilience to (even small) perturbations in their input data. Hence, new methods to robustify machine learning models seem very…

Machine Learning · Computer Science 2020-10-30 Fariborz Salehi , Babak Hassibi

The empirical loss, commonly referred to as the average loss, is extensively utilized for training machine learning models. However, in order to address the diverse performance requirements of machine learning models, the use of the…

Optimization and Control · Mathematics 2024-01-04 Rufeng Xiao , Yuze Ge , Rujun Jiang , Yifan Yan

We propose a non-parametric variant of binary regression, where the hypothesis is regularized to be a Lipschitz function taking a metric space to [0,1] and the loss is logarithmic. This setting presents novel computational and statistical…

Machine Learning · Computer Science 2020-10-21 Ariel Avital , Klim Efremenko , Aryeh Kontorovich , David Toplin , Bo Waggoner

In this paper, we investigate the usage of autoencoders in modeling textual data. Traditional autoencoders suffer from at least two aspects: scalability with the high dimensionality of vocabulary size and dealing with task-irrelevant words.…

Machine Learning · Computer Science 2015-12-15 Shuangfei Zhai , Zhongfei Zhang

We propose a novel loss function that dynamically rescales the cross entropy based on prediction difficulty regarding a sample. Deep neural network architectures in image classification tasks struggle to disambiguate visually similar…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Serim Ryou , Seong-Gyun Jeong , Pietro Perona

Label hierarchies are often available apriori as part of biological taxonomy or language datasets WordNet. Several works exploit these to learn hierarchy aware features in order to improve the classifier to make semantically meaningful…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Ashima Garg , Depanshu Sani , Saket Anand

A loss function measures the discrepancy between the true values and their estimated fits, for a given instance of data. In classification problems, a loss function is said to be proper if a minimizer of the expected loss is the true…

Information Theory · Computer Science 2020-01-03 Amichai Painsky , Gregory W. Wornell

Token-level reweighting is a simple yet effective mechanism for controlling supervised fine-tuning, but common indicators are largely one-dimensional: the ground-truth probability reflects downstream alignment, while token entropy reflects…

Machine Learning · Computer Science 2026-05-28 Wenhao Yu , Shaohang Wei , Jiahong Liu , Yifan Li , Minda Hu , Aiwei Liu , Hao Zhang , Irwin King

Multi-task learning (MTL) is frequently used in settings where a target task has to be learnt based on limited training data, but knowledge can be leveraged from related auxiliary tasks. While MTL can improve task performance overall…

Machine Learning · Computer Science 2020-12-18 Rafael Peres da Silva , Chayaporn Suphavilai , Niranjan Nagarajan

Over the past decades, numerous loss functions have been been proposed for a variety of supervised learning tasks, including regression, classification, ranking, and more generally structured prediction. Understanding the core principles…

Machine Learning · Statistics 2020-03-03 Mathieu Blondel , André F. T. Martins , Vlad Niculae

The notion of metric plays a key role in machine learning problems such as classification, clustering or ranking. However, it is worth noting that there is a severe lack of theoretical guarantees that can be expected on the generalization…

Machine Learning · Computer Science 2015-04-01 Maria-Irina Nicolae , Marc Sebban , Amaury Habrard , Éric Gaussier , Massih-Reza Amini

In this paper, we study a simple and generic framework to tackle the problem of learning model parameters when a fraction of the training samples are corrupted. We first make a simple observation: in a variety of such settings, the…

Machine Learning · Computer Science 2019-02-20 Yanyao Shen , Sujay Sanghavi

Conventional semi-supervised contrastive learning methods assign pseudo-labels only to samples whose highest predicted class probability exceeds a predefined threshold, and then perform supervised contrastive learning using those selected…

Machine Learning · Computer Science 2026-01-09 Shogo Nakayama , Masahiro Okuda

We study a family of loss functions named label-distributionally robust (LDR) losses for multi-class classification that are formulated from distributionally robust optimization (DRO) perspective, where the uncertainty in the given label…

Machine Learning · Computer Science 2023-06-29 Dixian Zhu , Yiming Ying , Tianbao Yang