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Loss functions are error metrics that quantify the difference between a prediction and its corresponding ground truth. Fundamentally, they define a functional landscape for traversal by gradient descent. Although numerous loss functions…

图像与视频处理 · 电气工程与系统科学 2021-04-09 Chaitanya Kaul , Nick Pears , Hang Dai , Roderick Murray-Smith , Suresh Manandhar

Most value function learning algorithms in reinforcement learning are based on the mean squared (projected) Bellman error. However, squared errors are known to be sensitive to outliers, both skewing the solution of the objective and…

机器学习 · 计算机科学 2023-04-19 Andrew Patterson , Victor Liao , Martha White

Learning in the presence of label noise is a challenging yet important task: it is crucial to design models that are robust in the presence of mislabeled datasets. In this paper, we discover that a new class of loss functions called the…

机器学习 · 计算机科学 2020-02-18 Liu Ziyin , Blair Chen , Ru Wang , Paul Pu Liang , Ruslan Salakhutdinov , Louis-Philippe Morency , Masahito Ueda

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…

机器学习 · 计算机科学 2022-06-22 Chintan Trivedi , Konstantinos Makantasis , Antonios Liapis , Georgios N. Yannakakis

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…

We prove that the empirical risk of most well-known loss functions factors into a linear term aggregating all labels with a term that is label free, and can further be expressed by sums of the loss. This holds true even for non-smooth,…

机器学习 · 计算机科学 2016-02-11 Giorgio Patrini , Frank Nielsen , Richard Nock , Marcello Carioni

Loss function learning is a new meta-learning paradigm that aims to automate the essential task of designing a loss function for a machine learning model. Existing techniques for loss function learning have shown promising results, often…

机器学习 · 计算机科学 2025-10-14 Christian Raymond , Qi Chen , Bing Xue , Mengjie Zhang

We propose a learning framework for calibrating predictive models to make loss-controlling prediction for exchangeable data, which extends our recently proposed conformal loss-controlling prediction for more general cases. By comparison,…

机器学习 · 计算机科学 2024-01-24 Di Wang , Junzhi Shi , Pingping Wang , Shuo Zhuang , Hongyue Li

Label noise and class imbalance commonly coexist in real-world data. Previous works for robust learning, however, usually address either one type of the data biases and underperform when facing them both. To mitigate this gap, this work…

机器学习 · 计算机科学 2023-09-06 Shenwang Jiang , Jianan Li , Jizhou Zhang , Ying Wang , Tingfa Xu

We propose two novel loss functions, Multiplicative Loss and Confidence-Adaptive Multiplicative Loss, for semantic segmentation in medical and cellular images. Although Cross Entropy and Dice Loss are widely used, their additive combination…

计算机视觉与模式识别 · 计算机科学 2025-10-15 Yuto Yokoi , Kazuhiro Hotta

Missing data is an universal problem in statistics. We develop a unified framework for estimating parameters defined by general estimating equations under a missing-at-random (MAR) mechanism, based on generalized entropy calibration…

统计方法学 · 统计学 2026-03-31 Mst Moushumi Pervin , Hengfang Wang , Jae Kwang Kim

We examine a new form of smooth approximation to the zero one loss in which learning is performed using a reformulation of the widely used logistic function. Our approach is based on using the posterior mean of a novel generalized…

计算机视觉与模式识别 · 计算机科学 2015-11-19 Md Kamrul Hasan , Christopher J. Pal

Uncertainty quantification of machine learning and deep learning methods plays an important role in enhancing trust to the obtained result. In recent years, a numerous number of uncertainty quantification methods have been introduced. Monte…

机器学习 · 计算机科学 2023-02-07 Afshar Shamsi , Hamzeh Asgharnezhad , AmirReza Tajally , Saeid Nahavandi , Henry Leung

Class imbalance distribution widely exists in real-world engineering. However, the mainstream optimization algorithms that seek to minimize error will trap the deep learning model in sub-optimums when facing extreme class imbalance. It…

机器学习 · 计算机科学 2023-02-22 Liang Xie , Yibo Yang , Deng Cai , Xiaofei He

Real-world machine learning applications may require functions that are fast-to-evaluate and interpretable. In particular, guaranteed monotonicity of the learned function can be critical to user trust. We propose meeting these goals for…

We propose a novel loss function for imbalanced classification. LDAM loss, which minimizes a margin-based generalization bound, is widely utilized for class-imbalanced image classification. Although, by using LDAM loss, it is possible to…

计算机视觉与模式识别 · 计算机科学 2023-06-16 Sota Kato , Kazuhiro Hotta

Imbalanced datasets are commonplace in modern machine learning problems. The presence of under-represented classes or groups with sensitive attributes results in concerns about generalization and fairness. Such concerns are further…

机器学习 · 计算机科学 2022-01-05 Mingchen Li , Xuechen Zhang , Christos Thrampoulidis , Jiasi Chen , Samet Oymak

Many results have been proved for various nuclear norm penalized estimators of the uniform sampling matrix completion problem. However, most of these estimators are not robust: in most of the cases the quadratic loss function and its…

统计理论 · 数学 2017-07-25 Andreas Elsener , Sara van de Geer

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…

机器学习 · 计算机科学 2025-07-11 David D. Baek , Ziming Liu , Riya Tyagi , Max Tegmark

The labelling difficulty has been a longstanding problem in deep image matting. To escape from fine labels, this work explores using rough annotations such as trimaps coarsely indicating the foreground/background as supervision. We present…

计算机视觉与模式识别 · 计算机科学 2024-08-21 Wenze Liu , Zixuan Ye , Hao Lu , Zhiguo Cao , Xiangyu Yue