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In binary classification problems, mainly two approaches have been proposed; one is loss function approach and the other is uncertainty set approach. The loss function approach is applied to major learning algorithms such as support vector…

Machine Learning · Statistics 2012-05-01 Takafumi Kanamori , Akiko Takeda , Taiji Suzuki

Understanding the trustworthiness of a prediction yielded by a classifier is critical for the safe and effective use of AI models. Prior efforts have been proven to be reliable on small-scale datasets. In this work, we study the problem of…

Computer Vision and Pattern Recognition · Computer Science 2021-10-29 Yan Luo , Yongkang Wong , Mohan S. Kankanhalli , Qi Zhao

We suggest a loss for learning deep embeddings. The new loss does not introduce parameters that need to be tuned and results in very good embeddings across a range of datasets and problems. The loss is computed by estimating two…

Computer Vision and Pattern Recognition · Computer Science 2016-11-04 Evgeniya Ustinova , Victor Lempitsky

There has long been debates on how we could interpret neural networks and understand the decisions our models make. Specifically, why deep neural networks tend to be error-prone when dealing with samples that output low softmax scores. We…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Simiao Zuo , Jialin Wu

Statistical decision problems lie at the heart of statistical machine learning. The simplest problems are binary and multiclass classification and class probability estimation. Central to their definition is the choice of loss function,…

Machine Learning · Computer Science 2023-08-21 Robert C. Williamson , Zac Cranko

Loss functions are at the heart of deep learning, shaping how models learn and perform across diverse tasks. They are used to quantify the difference between predicted outputs and ground truth labels, guiding the optimization process to…

Machine Learning · Computer Science 2025-09-11 Omar Elharrouss , Yasir Mahmood , Yassine Bechqito , Mohamed Adel Serhani , Elarbi Badidi , Jamal Riffi , Hamid Tairi

Selective Prediction is the task of rejecting inputs a model would predict incorrectly on. This involves a trade-off between input space coverage (how many data points are accepted) and model utility (how good is the performance on accepted…

The Softmax function is used in the final layer of nearly all existing sequence-to-sequence models for language generation. However, it is usually the slowest layer to compute which limits the vocabulary size to a subset of most frequent…

Computation and Language · Computer Science 2019-03-25 Sachin Kumar , Yulia Tsvetkov

Softmax loss is arguably one of the most popular losses to train CNN models for image classification. However, recent works have exposed its limitation on feature discriminability. This paper casts a new viewpoint on the weakness of softmax…

Computer Vision and Pattern Recognition · Computer Science 2018-05-11 Xiaobo Wang , Shifeng Zhang , Zhen Lei , Si Liu , Xiaojie Guo , Stan Z. Li

Loss functions engineering and the assessment of forecasting performances are two crucial and intertwined aspects of supervised machine learning. This paper focuses on binary classification to introduce a class of loss functions that are…

Machine Learning · Computer Science 2021-03-30 Francesco Marchetti , Sabrina Guastavino , Michele Piana , Cristina Campi

There is extensive interest in metric learning methods for image retrieval. Many metric learning loss functions focus on learning a correct ranking of training samples, but strongly overfit semantically inconsistent labels and require a…

Machine Learning · Computer Science 2023-06-05 Christopher Liao , Theodoros Tsiligkaridis , Brian Kulis

Normalization is a vital process for any machine learning task as it controls the properties of data and affects model performance at large. The impact of particular forms of normalization, however, has so far been investigated in limited…

Machine Learning · Computer Science 2022-06-22 Chintan Trivedi , Konstantinos Makantasis , Antonios Liapis , Georgios N. Yannakakis

Few-shot learning (FSL) is a challenging task in machine learning, demanding a model to render discriminative classification by using only a few labeled samples. In the literature of FSL, deep models are trained in a manner of metric…

Computer Vision and Pattern Recognition · Computer Science 2025-01-27 Tong Wu , Takumi Kobayashi

We explore unique considerations involved in fitting ML models to data with very high precision, as is often required for science applications. We empirically compare various function approximation methods and study how they scale with…

Machine Learning · Computer Science 2023-02-01 Eric J. Michaud , Ziming Liu , Max Tegmark

Pair-wise loss is an approach to metric learning that learns a semantic embedding by optimizing a loss function that encourages images from the same semantic class to be mapped closer than images from different classes. The literature…

Computer Vision and Pattern Recognition · Computer Science 2022-01-28 Hong Xuan , Robert Pless

Neural networks and in particular the attention mechanism have brought significant advances to the field of Automated Essay Scoring. Many of these systems use a regression-based model which may be prone to underfitting when the model only…

Computation and Language · Computer Science 2023-05-19 Oscar Morris

The softmax layer in neural machine translation is designed to model the distribution over mutually exclusive tokens. Machine translation, however, is intrinsically uncertain: the same source sentence can have multiple semantically…

Computation and Language · Computer Science 2022-05-03 Felix Stahlberg , Shankar Kumar

This paper provides a pair similarity optimization viewpoint on deep feature learning, aiming to maximize the within-class similarity $s_p$ and minimize the between-class similarity $s_n$. We find a majority of loss functions, including the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Yifan Sun , Changmao Cheng , Yuhan Zhang , Chi Zhang , Liang Zheng , Zhongdao Wang , Yichen Wei

We study loss functions that measure the accuracy of a prediction based on multiple data points simultaneously. To our knowledge, such loss functions have not been studied before in the area of property elicitation or in machine learning…

Machine Learning · Computer Science 2017-06-06 Sebastian Casalaina-Martin , Rafael Frongillo , Tom Morgan , Bo Waggoner

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