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In the last several years, the intimate connection between convex optimization and learning problems, in both statistical and sequential frameworks, has shifted the focus of algorithmic machine learning to examine this interplay. In…

Machine Learning · Computer Science 2014-07-23 Mehrdad Mahdavi

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…

Machine Learning · Computer Science 2022-12-22 Tyler Sypherd , Mario Diaz , John Kevin Cava , Gautam Dasarathy , Peter Kairouz , Lalitha Sankar

As a prevalent distributed learning paradigm, Federated Learning (FL) trains a global model on a massive amount of devices with infrequent communication. This paper investigates a class of composite optimization and statistical recovery…

Machine Learning · Computer Science 2022-10-04 Yajie Bao , Michael Crawshaw , Shan Luo , Mingrui Liu

Recent studies have shown that deep neural networks are not well-calibrated and often produce over-confident predictions. The miscalibration issue primarily stems from using cross-entropy in classifications, which aims to align predicted…

Machine Learning · Computer Science 2025-02-05 Daehwan Kim , Haejun Chung , Ikbeom Jang

Metalearning of deep neural network (DNN) architectures and hyperparameters has become an increasingly important area of research. Loss functions are a type of metaknowledge that is crucial to effective training of DNNs, however, their…

Machine Learning · Computer Science 2020-10-05 Santiago Gonzalez , Risto Miikkulainen

In neural networks, the loss function represents the core of the learning process that leads the optimizer to an approximation of the optimal convergence error. Convolutional neural networks (CNN) use the loss function as a supervisory…

Computer Vision and Pattern Recognition · Computer Science 2020-09-30 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

Listwise learning-to-rank methods form a powerful class of ranking algorithms that are widely adopted in applications such as information retrieval. These algorithms learn to rank a set of items by optimizing a loss that is a function of…

Machine Learning · Computer Science 2021-02-08 Sebastian Bruch

While cross entropy (CE) is the most commonly used loss to train deep neural networks for classification tasks, many alternative losses have been developed to obtain better empirical performance. Among them, which one is the best to use is…

Machine Learning · Computer Science 2022-10-11 Jinxin Zhou , Chong You , Xiao Li , Kangning Liu , Sheng Liu , Qing Qu , Zhihui Zhu

Deep Metric Learning (DML) loss functions traditionally aim to control the forces of separability and compactness within an embedding space so that the same class data points are pulled together and different class ones are pushed apart.…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Michael G. DeMoor , John J. Prevost

We analyze the optimization landscape of a recently introduced tunable class of loss functions called $\alpha$-loss, $\alpha \in (0,\infty]$, in the logistic model. This family encapsulates the exponential loss ($\alpha = 1/2$), the…

Machine Learning · Computer Science 2022-12-22 Tyler Sypherd , Mario Diaz , Lalitha Sankar , Gautam Dasarathy

To ensure stability of learning, state-of-the-art generalized policy iteration algorithms augment the policy improvement step with a trust region constraint bounding the information loss. The size of the trust region is commonly determined…

Machine Learning · Computer Science 2018-04-05 Boris Belousov , Jan Peters

Designing proper loss functions is essential in training deep networks. Especially in the field of semantic segmentation, various evaluation metrics have been proposed for diverse scenarios. Despite the success of the widely adopted…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Hao Li , Chenxin Tao , Xizhou Zhu , Xiaogang Wang , Gao Huang , Jifeng Dai

In GFlowNets and variational inference, it has been shown that the mean square error between target and model log probabilities is an effective, low variance, surrogate loss for training generative models. This loss has the property that…

Machine Learning · Computer Science 2026-05-18 Jake Fawkes , Jason Hartford

The key factor in implementing machine learning algorithms in decision-making situations is not only the accuracy of the model but also its confidence level. The confidence level of a model in a classification problem is often given by the…

Machine Learning · Statistics 2024-05-02 Masanari Kimura , Hiroki Naganuma

We construct a surrogate loss to directly optimise the significance metric used in particle physics. We evaluate our loss function for a simple event classification task using a linear model and show that it produces decision boundaries…

High Energy Physics - Phenomenology · Physics 2024-12-13 Jai Bardhan , Cyrin Neeraj , Subhadip Mitra , Tanumoy Mandal

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

This paper addresses the problem of providing robust estimators under a functional logistic regression model. Logistic regression is a popular tool in classification problems with two populations. As in functional linear regression,…

Methodology · Statistics 2023-08-16 Graciela Boente , Marina Valdora

Often, the performance on a supervised machine learning task is evaluated with a emph{task loss} function that cannot be optimized directly. Examples of such loss functions include the classification error, the edit distance and the BLEU…

We propose the Linearly Adaptive Cross Entropy Loss function. This is a novel measure derived from the information theory. In comparison to the standard cross entropy loss function, the proposed one has an additional term that depends on…

Machine Learning · Computer Science 2025-07-16 Jae Wan Shim

Empirical risk minimization, a cornerstone in machine learning, is often hindered by the Optimizer's Curse stemming from discrepancies between the empirical and true data-generating distributions.To address this challenge, the robust…

Machine Learning · Computer Science 2024-08-20 Haojie Yan , Minglong Zhou , Jiayi Guo
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