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A main puzzle of deep neural networks (DNNs) revolves around the apparent absence of "overfitting", defined in this paper as follows: the expected error does not get worse when increasing the number of neurons or of iterations of gradient…

Machine Learning · Computer Science 2018-07-02 Tomaso Poggio , Qianli Liao , Brando Miranda , Andrzej Banburski , Xavier Boix , Jack Hidary

The large and still increasing popularity of deep learning clashes with a major limit of neural network architectures, that consists in their lack of capability in providing human-understandable motivations of their decisions. In situations…

Machine Learning · Computer Science 2023-05-22 Gabriele Ciravegna , Pietro Barbiero , Francesco Giannini , Marco Gori , Pietro Lió , Marco Maggini , Stefano Melacci

Deep neural networks have achieved impressive supervised classification performance in many tasks including image recognition, speech recognition, and sequence to sequence learning. However, this success has not been translated to…

Machine Learning · Computer Science 2016-08-05 Arvind Neelakantan , Quoc V. Le , Ilya Sutskever

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

This paper analyzes and compares different deep learning loss functions in the framework of multi-label remote sensing (RS) image scene classification problems. We consider seven loss functions: 1) cross-entropy loss; 2) focal loss; 3)…

Computer Vision and Pattern Recognition · Computer Science 2023-01-24 Hichame Yessou , Gencer Sumbul , Begüm Demir

In this paper, we prove the universal consistency of wide and deep ReLU neural network classifiers trained on the logistic loss. We also give sufficient conditions for a class of probability measures for which classifiers based on neural…

Machine Learning · Statistics 2024-02-01 Hyunouk Ko , Xiaoming Huo

Estimating the ratio of two probability densities from a finite number of observations is a central machine learning problem. A common approach is to construct estimators using binary classifiers that distinguish observations from the two…

Machine Learning · Computer Science 2025-01-28 Werner Zellinger

We show that learning can be improved by using loss functions that evolve cyclically during training to emphasize one class at a time. In underparameterized networks, such dynamical loss functions can lead to successful training for…

Machine Learning · Computer Science 2021-06-24 Miguel Ruiz-Garcia , Ge Zhang , Samuel S. Schoenholz , Andrea J. Liu

We investigate the topics of sensitivity and robustness in feedforward and convolutional neural networks. Combining energy landscape techniques developed in computational chemistry with tools drawn from formal methods, we produce empirical…

Machine Learning · Statistics 2018-12-06 Timothy E. Wang , Yiming Gu , Dhagash Mehta , Xiaojun Zhao , Edgar A. Bernal

Dropout Regularization, serving to reduce variance, is nearly ubiquitous in Deep Learning models. We explore the relationship between the dropout rate and model complexity by training 2,000 neural networks configured with random…

Machine Learning · Computer Science 2021-08-30 Christopher Sun , Jai Sharma , Milind Maiti

Current deep learning solutions are well known for not informing whether they can reliably classify an example during inference. One of the most effective ways to build more reliable deep learning solutions is to improve their performance…

Machine Learning · Computer Science 2022-08-09 David Macêdo

The standard loss functions used in the literature on probabilistic prediction are the log loss function, the Brier loss function, and the spherical loss function; however, any computable proper loss function can be used for comparison of…

Machine Learning · Computer Science 2015-06-30 Vladimir Vovk

Classification may not be reliable for several reasons: noise in the data, insufficient input information, overlapping distributions and sharp definition of classes. Faced with several possibilities neural network may in such cases still be…

Machine Learning · Computer Science 2019-01-29 Włodzisław Duch , Rafał Adamczak , Yoichi Hayashi

Recent studies strive to incorporate various human rationales into neural networks to improve model performance, but few pay attention to the quality of the rationales. Most existing methods distribute their models' focus to…

Computation and Language · Computer Science 2021-06-04 Quzhe Huang , Shengqi Zhu , Yansong Feng , Dongyan Zhao

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…

Machine Learning · Computer Science 2022-01-05 Mingchen Li , Xuechen Zhang , Christos Thrampoulidis , Jiasi Chen , Samet Oymak

One main obstacle for the wide use of deep learning in medical and engineering sciences is its interpretability. While neural network models are strong tools for making predictions, they often provide little information about which features…

Machine Learning · Statistics 2021-12-06 Vu Dinh , Lam Si Tung Ho

Despite having excellent performances for a wide variety of tasks, modern neural networks are unable to provide a reliable confidence value allowing to detect misclassifications. This limitation is at the heart of what is known as an…

Machine Learning · Computer Science 2019-05-23 Jonathan Aigrain , Marcin Detyniecki

Structural concept complexity, class overlap, and data scarcity are some of the most important factors influencing the performance of classifiers under class imbalance conditions. When these effects were uncovered in the early 2000s,…

Machine Learning · Computer Science 2021-07-30 Kushankur Ghosh , Colin Bellinger , Roberto Corizzo , Bartosz Krawczyk , Nathalie Japkowicz

The choice of activation function can have a large effect on the performance of a neural network. While there have been some attempts to hand-engineer novel activation functions, the Rectified Linear Unit (ReLU) remains the most…

Machine Learning · Computer Science 2020-04-14 Garrett Bingham , William Macke , Risto Miikkulainen

Deep neural networks have been the driving force behind the success in classification tasks, e.g., object and audio recognition. Impressive results and generalization have been achieved by a variety of recently proposed architectures, the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-12 Grigorios G Chrysos , Markos Georgopoulos , Jiankang Deng , Jean Kossaifi , Yannis Panagakis , Anima Anandkumar