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Training a classifier over a large number of classes, known as 'extreme classification', has become a topic of major interest with applications in technology, science, and e-commerce. Traditional softmax regression induces a gradient cost…

Machine Learning · Statistics 2020-02-18 Robert Bamler , Stephan Mandt

Maximization of mutual information between the model's input and output is formally related to "decisiveness" and "fairness" of the softmax predictions, motivating these unsupervised entropy-based criteria for clustering. First, in the…

Machine Learning · Computer Science 2024-10-01 Zhongwen Zhang , Yuri Boykov

In this paper, we introduce a threshold-based framework for multiclass classification that generalizes the standard argmax rule. This is done by replacing the probabilistic interpretation of softmax outputs with a geometric one on the…

Machine Learning · Computer Science 2025-12-02 Francesco Marchetti , Edoardo Legnaro , Sabrina Guastavino

This correspondence studies the basic problem of classifications - how to evaluate different classifiers. Although the conventional performance indexes, such as accuracy, are commonly used in classifier selection or evaluation,…

Machine Learning · Computer Science 2007-11-26 Yong Wang , Bao-Gang Hu

In most real-world scenarios, labeled training datasets are highly class-imbalanced, where deep neural networks suffer from generalizing to a balanced testing criterion. In this paper, we explore a novel yet simple way to alleviate this…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Jaehyung Kim , Jongheon Jeong , Jinwoo Shin

The learning objective is integral to collaborative filtering systems, where the Bayesian Personalized Ranking (BPR) loss is widely used for learning informative backbones. However, BPR often experiences slow convergence and suboptimal…

Information Retrieval · Computer Science 2024-06-25 Xiaodong Yang , Huiyuan Chen , Yuchen Yan , Yuxin Tang , Yuying Zhao , Eric Xu , Yiwei Cai , Hanghang Tong

Neural Networks (NNs) are vulnerable to adversarial examples. Such inputs differ only slightly from their benign counterparts yet provoke misclassifications of the attacked NNs. The required perturbations to craft the examples are often…

Cryptography and Security · Computer Science 2020-09-30 Philip Sperl , Konstantin Böttinger

A widespread approach in machine learning to evaluate the quality of a classifier is to cross -- classify predicted and actual decision classes in a confusion matrix, also called error matrix. A classification tool which does not assume…

Machine Learning · Computer Science 2019-10-02 Ivo Düntsch , Günther Gediga

Entropy and mutual information in neural networks provide rich information on the learning process, but they have proven difficult to compute reliably in high dimensions. Indeed, in noisy and high-dimensional data, traditional estimates in…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Danqi Liao , Chen Liu , Benjamin W. Christensen , Alexander Tong , Guillaume Huguet , Guy Wolf , Maximilian Nickel , Ian Adelstein , Smita Krishnaswamy

While a broad range of techniques have been proposed to tackle distribution shift, the simple baseline of training on an $\textit{undersampled}$ balanced dataset often achieves close to state-of-the-art-accuracy across several popular…

Machine Learning · Computer Science 2023-06-21 Niladri S. Chatterji , Saminul Haque , Tatsunori Hashimoto

Classification is a fundamental task in machine learning. While conventional methods-such as binary, multiclass, and multi-label classification-are effective for simpler problems, they may not adequately address the complexities of some…

In order to push the performance on realistic computer vision tasks, the number of classes in modern benchmark datasets has significantly increased in recent years. This increase in the number of classes comes along with increased ambiguity…

Machine Learning · Statistics 2016-04-14 Maksim Lapin , Matthias Hein , Bernt Schiele

A meta-model is trained on a distribution of similar tasks such that it learns an algorithm that can quickly adapt to a novel task with only a handful of labeled examples. Most of current meta-learning methods assume that the meta-training…

Machine Learning · Computer Science 2019-04-12 Minseop Park , Jungtaek Kim , Saehoon Kim , Yanbin Liu , Seungjin Choi

Cross Entropy (CE) has an important role in machine learning and, in particular, in neural networks. It is commonly used in neural networks as the cost between the known distribution of the label and the Softmax/Sigmoid output. In this…

Machine Learning · Computer Science 2020-07-17 Ron Shoham , Haim Permuter

Learning from imbalanced data is one of the most significant challenges in real-world classification tasks. In such cases, neural networks performance is substantially impaired due to preference towards the majority class. Existing…

Machine Learning · Computer Science 2022-11-13 Bronislav Yasinnik , Moshe Salhov , Ofir Lindenbaum , Amir Averbuch

We present a new method for uncertainty estimation and out-of-distribution detection in neural networks with softmax output. We extend softmax layer with an additional constant input. The corresponding additional output is able to represent…

Machine Learning · Computer Science 2019-04-09 Marcin Możejko , Mateusz Susik , Rafał Karczewski

Accurately matching visual and textual data in cross-modal retrieval has been widely studied in the multimedia community. To address these challenges posited by the heterogeneity gap and the semantic gap, we propose integrating Shannon…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Wei Chen , Yu Liu , Erwin M. Bakker , Michael S. Lew

Recent end-to-end deep neural networks for disparity regression have achieved the state-of-the-art performance. However, many well-acknowledged specific properties of disparity estimation are omitted in these deep learning algorithms.…

Computer Vision and Pattern Recognition · Computer Science 2020-05-29 Yang Chen , Zongqing Lu , Xuechen Zhang , Lei Chen , Qingmin Liao

The performance of machine learning models can significantly degrade under distribution shifts of the data. We propose a new method for classification which can improve robustness to distribution shifts, by combining expert knowledge about…

Machine Learning · Computer Science 2022-08-31 Souradeep Dutta , Yahan Yang , Elena Bernardis , Edgar Dobriban , Insup Lee

In this paper, we introduce harmonic loss as an alternative supervisory signal for training neural networks and large language models (LLMs). Harmonic loss differs from standard cross-entropy loss by (a) replacing the usual SoftMax…

Machine Learning · Computer Science 2025-07-11 David D. Baek , Ziming Liu , Riya Tyagi , Max Tegmark