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Loss functions play a key role in training superior deep neural networks. In convolutional neural networks (CNNs), the popular cross entropy loss together with softmax does not explicitly guarantee minimization of intra-class variance or…

计算机视觉与模式识别 · 计算机科学 2019-04-26 XiaoBin Li , WeiQiang Wang

The cross-entropy softmax loss is the primary loss function used to train deep neural networks. On the other hand, the focal loss function has been demonstrated to provide improved performance when there is an imbalance in the number of…

计算机视觉与模式识别 · 计算机科学 2022-06-17 Leslie N. Smith

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…

计算机视觉与模式识别 · 计算机科学 2025-01-27 Tong Wu , Takumi Kobayashi

Classification is the most important process in data analysis. However, due to the inherent non-convex and non-smooth structure of the zero-one loss function of the classification model, various convex surrogate loss functions such as hinge…

机器学习 · 计算机科学 2019-04-08 Hyenkyun Woo

Existing metric learning losses can be categorized into two classes: pair-based and proxy-based losses. The former class can leverage fine-grained semantic relations between data points, but slows convergence in general due to its high…

计算机视觉与模式识别 · 计算机科学 2020-04-01 Sungyeon Kim , Dongwon Kim , Minsu Cho , Suha Kwak

In the field of pattern classification, the training of deep learning classifiers is mostly end-to-end learning, and the loss function is the constraint on the final output (posterior probability) of the network, so the existence of Softmax…

计算机视觉与模式识别 · 计算机科学 2022-10-24 Qiuyu Zhu , Xuewen Zu

Cross-entropy is a widely used loss function in applications. It coincides with the logistic loss applied to the outputs of a neural network, when the softmax is used. But, what guarantees can we rely on when using cross-entropy as a…

机器学习 · 计算机科学 2023-06-21 Anqi Mao , Mehryar Mohri , Yutao Zhong

Few-shot object detection, the problem of modelling novel object detection categories with few training instances, is an emerging topic in the area of few-shot learning and object detection. Contemporary techniques can be divided into two…

计算机视觉与模式识别 · 计算机科学 2023-04-25 Berkan Demirel , Orhun Buğra Baran , Ramazan Gokberk Cinbis

Data-driven inverse optimization seeks to estimate unknown parameters in an optimization model from observations of optimization solutions. Many existing methods are ineffective in handling noisy and suboptimal solution observations and…

最优化与控制 · 数学 2026-05-12 Zhehao Li , Yanchen Wu , Jian Chen , Xiaojie Mao

We address the problem of minimizing a convex smooth function $f(x)$ over a compact polyhedral set $D$ given a stochastic zeroth-order constraint feedback model. This problem arises in safety-critical machine learning applications, such as…

最优化与控制 · 数学 2019-12-10 Ilnura Usmanova , Andreas Krause , Maryam Kamgarpour

Fine-tuning large language models on new data improves task performance but degrades capabilities learned during pretraining, a phenomenon known as catastrophic forgetting. Existing methods mitigate this by modifying the fine-tuning…

机器学习 · 计算机科学 2026-05-20 Parjanya Prajakta Prashant , Jiongli Zhu , Aldan Creo , Babak Salimi

Deep learning has been shown to achieve impressive results in several domains like computer vision and natural language processing. A key element of this success has been the development of new loss functions, like the popular cross-entropy…

机器学习 · 计算机科学 2019-07-19 Francesco Giannini , Giuseppe Marra , Michelangelo Diligenti , Marco Maggini , Marco Gori

Loss functions are a cornerstone of machine learning and the starting point of most algorithms. Statistics and Bayesian decision theory have contributed, via properness, to elicit over the past decades a wide set of admissible losses in…

机器学习 · 计算机科学 2020-11-06 Christian Walder , Richard Nock

Modern Hopfield networks have enjoyed recent interest due to their connection to attention in transformers. Our paper provides a unified framework for sparse Hopfield networks by establishing a link with Fenchel-Young losses. The result is…

机器学习 · 计算机科学 2024-06-06 Saul Santos , Vlad Niculae , Daniel McNamee , Andre F. T. Martins

Meta-learning has demonstrated promising results in few-shot classification (FSC) by learning to solve new problems using prior knowledge. Bayesian methods are effective at characterizing uncertainty in FSC, which is crucial in high-risk…

机器学习 · 计算机科学 2024-10-14 Tianjun Ke , Haoqun Cao , Zenan Ling , Feng Zhou

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

The follow the leader (FTL) algorithm, perhaps the simplest of all online learning algorithms, is known to perform well when the loss functions it is used on are convex and positively curved. In this paper we ask whether there are other…

机器学习 · 计算机科学 2017-02-13 Ruitong Huang , Tor Lattimore , András György , Csaba Szepesvári

Despite its empirical success, deep learning still lacks a comprehensive theoretical understanding of model fitting and generalization. This paper proposes the probability distribution (PD) learning framework to analyze the optimization and…

机器学习 · 计算机科学 2025-10-09 Binchuan Qi , Wei Gong , Li Li

We introduce a tunable loss function called $\alpha$-loss, parameterized by $\alpha \in (0,\infty]$, which interpolates between the exponential loss ($\alpha = 1/2$), the log-loss ($\alpha = 1$), and the 0-1 loss ($\alpha = \infty$), for…

机器学习 · 计算机科学 2022-12-22 Tyler Sypherd , Mario Diaz , John Kevin Cava , Gautam Dasarathy , Peter Kairouz , Lalitha Sankar

In most machine learning training paradigms a fixed, often handcrafted, loss function is assumed to be a good proxy for an underlying evaluation metric. In this work we assess this assumption by meta-learning an adaptive loss function to…