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This paper analyzes a popular loss function used in machine learning called the log-cosh loss function. A number of papers have been published using this loss function but, to date, no statistical analysis has been presented in the…

机器学习 · 统计学 2024-03-19 Resve A. Saleh , A. K. Md. Ehsanes Saleh

In this paper, we propose a Dual Focal Loss (DFL) function, as a replacement for the standard cross entropy (CE) function to achieve a better treatment of the unbalanced classes in a dataset. Our DFL method is an improvement on the recently…

计算机视觉与模式识别 · 计算机科学 2020-11-30 Md Sazzad Hossain , Andrew P Paplinski , John M Betts

The focus of the paper is functional output regression (FOR) with convoluted losses. While most existing work consider the square loss setting, we leverage extensions of the Huber and the $\epsilon$-insensitive loss (induced by infimal…

机器学习 · 统计学 2022-06-17 Alex Lambert , Dimitri Bouche , Zoltan Szabo , Florence d'Alché-Buc

The generalization performance of deep neural networks in classification tasks is a major concern in machine learning research. Despite widespread techniques used to diminish the over-fitting issue such as data augmentation,…

机器学习 · 计算机科学 2024-03-14 Mohammad Lashkari , Amin Gheibi

While language models have exceptional capabilities at text generation, they lack a natural inductive bias for emitting numbers and thus struggle in tasks involving quantitative reasoning, especially arithmetic. One fundamental limitation…

The loss function is a key component in deep learning models. A commonly used loss function for classification is the cross entropy loss, which is a simple yet effective application of information theory for classification problems. Based…

计算机视觉与模式识别 · 计算机科学 2020-10-13 Zeyu Song , Dongliang Chang , Zhanyu Ma , Xiaoxu Li , Zheng-Hua Tan

Estimating the ratio of two probability densities from a finite number of observations is a central machine learning problem. A common approach is to construct estimators using binary classifiers that distinguish observations from the two…

机器学习 · 计算机科学 2025-01-28 Werner Zellinger

We revisit logistic regression and its nonlinear extensions, including multilayer feedforward neural networks, by showing that these classifiers can be viewed as converting input or higher-level features into Dempster-Shafer mass functions…

机器学习 · 计算机科学 2019-12-13 Thierry Denoeux

We propose sparsemax, a new activation function similar to the traditional softmax, but able to output sparse probabilities. After deriving its properties, we show how its Jacobian can be efficiently computed, enabling its use in a network…

计算与语言 · 计算机科学 2016-02-09 André F. T. Martins , Ramón Fernandez Astudillo

There is no such thing as a perfect dataset. In some datasets, deep neural networks discover underlying heuristics that allow them to take shortcuts in the learning process, resulting in poor generalization capability. Instead of using…

计算与语言 · 计算机科学 2022-11-28 Frano Rajič , Ivan Stresec , Axel Marmet , Tim Poštuvan

In this work we study loss functions for learning and evaluating probability distributions over large discrete domains. Unlike classification or regression where a wide variety of loss functions are used, in the distribution learning and…

机器学习 · 计算机科学 2019-08-05 Nika Haghtalab , Cameron Musco , Bo Waggoner

Incorrectly labelled training data are frustratingly ubiquitous in both benchmark and specially curated datasets. Such mislabelling clearly adversely affects the performance and generalizability of models trained through supervised learning…

机器学习 · 计算机科学 2025-11-27 Nicholas Pellegrino , David Szczecina , Paul Fieguth

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…

机器学习 · 统计学 2023-11-30 Kevin Lam , Christian Walder , Spiridon Penev , Richard Nock

Multi-output is essential in machine learning that it might suffer from nonconforming residual distributions, i.e., the multi-output residual distributions are not conforming to the expected distribution. In this paper, we propose "Wrapped…

机器学习 · 计算机科学 2019-09-10 Chun Ting Liu , Ming Chuan Yang , Meng Chang Chen

Metric learning has become an attractive field for research on the latest years. Loss functions like contrastive loss, triplet loss or multi-class N-pair loss have made possible generating models capable of tackling complex scenarios with…

机器学习 · 计算机科学 2019-05-28 Alfonso Medela , Artzai Picon

One-class classification (OCC) aims to train a classifier only with the target class data and attracts great attention for its strong applicability in real-world application. Despite a lot of advances have been made in OCC, it still lacks…

计算机视觉与模式识别 · 计算机科学 2026-02-10 Ziyang Jiang , Peng Lin , Tianlei Wang

In knowledge graph embedding, the theoretical relationship between the softmax cross-entropy and negative sampling loss functions has not been investigated. This makes it difficult to fairly compare the results of the two different loss…

机器学习 · 计算机科学 2022-03-17 Hidetaka Kamigaito , Katsuhiko Hayashi

State-of-the-art neural networks are vulnerable to adversarial examples; they can easily misclassify inputs that are imperceptibly different than their training and test data. In this work, we establish that the use of cross-entropy loss…

机器学习 · 计算机科学 2019-01-25 Kamil Nar , Orhan Ocal , S. Shankar Sastry , Kannan Ramchandran

We propose in this paper a general framework for deriving loss functions for structured prediction. In our framework, the user chooses a convex set including the output space and provides an oracle for projecting onto that set. Given that…

机器学习 · 统计学 2020-02-27 Mathieu Blondel

Deep metric learning has yielded impressive results in tasks such as clustering and image retrieval by leveraging neural networks to obtain highly discriminative feature embeddings, which can be used to group samples into different classes.…

计算机视觉与模式识别 · 计算机科学 2022-04-05 Ismail Elezi , Jenny Seidenschwarz , Laurin Wagner , Sebastiano Vascon , Alessandro Torcinovich , Marcello Pelillo , Laura Leal-Taixe