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Related papers: A General and Adaptive Robust Loss Function

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Highly increased interest in Artificial Neural Networks (ANNs) have resulted in impressively wide-ranging improvements in its structure. In this work, we come up with the idea that instead of static plugins that the currently available loss…

Machine Learning · Computer Science 2020-07-27 Aditya Shrivastava

A loss function measures the discrepancy between the true values and their estimated fits, for a given instance of data. In classification problems, a loss function is said to be proper if a minimizer of the expected loss is the true…

Information Theory · Computer Science 2020-01-03 Amichai Painsky , Gregory W. Wornell

Deep neural networks tend to underestimate uncertainty and produce overly confident predictions. Recently proposed solutions, such as MC Dropout and SDENet, require complex training and/or auxiliary out-of-distribution data. We propose a…

Machine Learning · Computer Science 2021-10-14 Akib Mashrur , Wei Luo , Nayyar A. Zaidi , Antonio Robles-Kelly

The goal of Continual Learning (CL) task is to continuously learn multiple new tasks sequentially while achieving a balance between the plasticity and stability of new and old knowledge. This paper analyzes that this insufficiency arises…

Machine Learning · Computer Science 2024-05-28 Hanxi Xiao , Fan Lyu

Graph Neural Networks (GNNs) became useful for learning on non-Euclidean data. However, their best performance depends on choosing the right model architecture and the training objective, also called the loss function. Researchers have…

Machine Learning · Computer Science 2025-06-18 Khushnood Abbas , Ruizhe Hou , Zhou Wengang , Dong Shi , Niu Ling , Satyaki Nan , Alireza Abbasi

Advancing loss function design is pivotal for optimizing neural network training and performance. This work introduces Random Linear Projections (RLP) loss, a novel approach that enhances training efficiency by leveraging geometric…

Machine Learning · Computer Science 2024-06-03 Shyam Venkatasubramanian , Ahmed Aloui , Vahid Tarokh

We propose a theoretical framework for an adaptive learning rate policy for the Mean Absolute Error loss function and Quantile loss function and evaluate its effectiveness for regression tasks. The framework is based on the theory of…

Machine Learning · Computer Science 2020-06-25 Snehanshu Saha , Tejas Prashanth , Suraj Aralihalli , Sumedh Basarkod , T. S. B Sudarshan , Soma S Dhavala

A loss function measures the discrepancy between the true values (observations) and their estimated fits, for a given instance of data. A loss function is said to be proper (unbiased, Fisher consistent) if the fits are defined over a unit…

Information Theory · Computer Science 2018-05-11 Amichai Painsky , Gregory W. Wornell

Metric learning has attracted a lot of interest over the last decade, but the generalization ability of such methods has not been thoroughly studied. In this paper, we introduce an adaptation of the notion of algorithmic robustness…

Machine Learning · Computer Science 2019-01-25 Aurélien Bellet , Amaury Habrard

Supervised learning is all about the ability to generalize knowledge. Specifically, the goal of the learning is to train a classifier using training data, in such a way that it will be capable of classifying new unseen data correctly. In…

Machine Learning · Computer Science 2011-04-04 Ido Ginodi , Amir Globerson

The traditional notion of generalization---i.e., learning a hypothesis whose empirical error is close to its true error---is surprisingly brittle. As has recently been noted in [DFH+15b], even if several algorithms have this guarantee in…

Data Structures and Algorithms · Computer Science 2016-06-03 Rachel Cummings , Katrina Ligett , Kobbi Nissim , Aaron Roth , Zhiwei Steven Wu

Convolutional Neural Networks (CNNs) are widely used for image classification in a variety of fields, including medical imaging. While most studies deploy cross-entropy as the loss function in such tasks, a growing number of approaches have…

Computer Vision and Pattern Recognition · Computer Science 2021-08-11 Vasileios Baltatzis , Loic Le Folgoc , Sam Ellis , Octavio E. Martinez Manzanera , Kyriaki-Margarita Bintsi , Arjun Nair , Sujal Desai , Ben Glocker , Julia A. Schnabel

Projection-free optimization via different variants of the Frank-Wolfe (FW) method has become one of the cornerstones in large scale optimization for machine learning and computational statistics. Numerous applications within these fields…

Optimization and Control · Mathematics 2021-08-03 Pavel Dvurechensky , Kamil Safin , Shimrit Shtern , Mathias Staudigl

Learning representations that capture the underlying data generating process is a key problem for data efficient and robust use of neural networks. One key property for robustness which the learned representation should capture and which…

Machine Learning · Computer Science 2022-06-24 Mathieu Chevalley , Charlotte Bunne , Andreas Krause , Stefan Bauer

We introduce a novel loss function, Covariance Loss, which is conceptually equivalent to conditional neural processes and has a form of regularization so that is applicable to many kinds of neural networks. With the proposed loss, mappings…

Machine Learning · Computer Science 2025-04-02 Boseon Yoo , Jiwoo Lee , Janghoon Ju , Seijun Chung , Soyeon Kim , Jaesik Choi

We introduce a general framework for the reconstruction of vector-valued functions from finite and possibly noisy data, acquired through a known measurement operator. The reconstruction is done by the minimization of a loss functional…

Optimization and Control · Mathematics 2025-07-08 Vincent Guillemet , Michaël Unser

Efficient online learning with pairwise loss functions is a crucial component in building large-scale learning system that maximizes the area under the Receiver Operator Characteristic (ROC) curve. In this paper we investigate the…

Machine Learning · Statistics 2013-01-24 Yuyang Wang , Roni Khardon , Dmitry Pechyony , Rosie Jones

We study the problem of bivariate discrete or continuous probability density estimation under low-rank constraints.For discrete distributions, we assume that the two-dimensional array to estimate is a low-rank probability matrix. In the…

Statistics Theory · Mathematics 2024-10-23 Julien Chhor , Olga Klopp , Alexandre Tsybakov

While modern large-scale datasets often consist of heterogeneous subpopulations -- for example, multiple demographic groups or multiple text corpora -- the standard practice of minimizing average loss fails to guarantee uniformly low losses…

Machine Learning · Computer Science 2022-08-12 John Duchi , Tatsunori Hashimoto , Hongseok Namkoong

Regularized empirical risk minimization including support vector machines plays an important role in machine learning theory. In this paper regularized pairwise learning (RPL) methods based on kernels will be investigated. One example is…

Statistics Theory · Mathematics 2015-10-13 Andreas Christmann , Ding-Xuan Zhou