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A recent series of theoretical works showed that the dynamics of neural networks with a certain initialisation are well-captured by kernel methods. Concurrent empirical work demonstrated that kernel methods can come close to the performance…

Machine Learning · Computer Science 2021-06-11 Maria Refinetti , Sebastian Goldt , Florent Krzakala , Lenka Zdeborová

Classifying large scale networks into several categories and distinguishing them according to their fine structures is of great importance with several applications in real life. However, most studies of complex networks focus on properties…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Ruyue Xin , Jiang Zhang , Yitong Shao

Novelty detection is the machine learning task to recognize data, which belong to an unknown pattern. Complementary to supervised learning, it allows to analyze data model-independently. We demonstrate the potential role of novelty…

High Energy Physics - Phenomenology · Physics 2020-04-29 Jan Hajer , Ying-Ying Li , Tao Liu , He Wang

With the development of neural networks based machine learning and their usage in mission critical applications, voices are rising against the \textit{black box} aspect of neural networks as it becomes crucial to understand their limits and…

Machine Learning · Statistics 2017-08-08 El Mahdi El Mhamdi , Rachid Guerraoui , Sebastien Rouault

The learned weights of a neural network have often been considered devoid of scrutable internal structure. In this paper, however, we look for structure in the form of clusterability: how well a network can be divided into groups of neurons…

Neural and Evolutionary Computing · Computer Science 2021-03-08 Daniel Filan , Stephen Casper , Shlomi Hod , Cody Wild , Andrew Critch , Stuart Russell

Deep Neural Networks are built to generalize outside of training set in mind by using techniques such as regularization, early stopping and dropout. But considerations to make them more resilient to adversarial examples are rarely taken. As…

Machine Learning · Computer Science 2017-12-27 Arkar Min Aung , Yousef Fadila , Radian Gondokaryono , Luis Gonzalez

We consider the problem of selective prediction (also known as reject option) in deep neural networks, and introduce SelectiveNet, a deep neural architecture with an integrated reject option. Existing rejection mechanisms are based mostly…

Machine Learning · Computer Science 2019-06-28 Yonatan Geifman , Ran El-Yaniv

We propose a novel convolutional neural network for lesion detection from weak labels. Only a single, global label per image - the lesion count - is needed for training. We train a regression network with a fully convolutional architecture…

Computer Vision and Pattern Recognition · Computer Science 2017-10-31 Florian Dubost , Gerda Bortsova , Hieab Adams , Arfan Ikram , Wiro Niessen , Meike Vernooij , Marleen De Bruijne

Properties such as composability and automatic differentiation made artificial neural networks a pervasive tool in applications. Tackling more challenging problems caused neural networks to progressively become more complex and thus…

Category Theory · Mathematics 2022-09-07 Mattia G. Bergomi , Pietro Vertechi

Important insights towards the explainability of neural networks reside in the characteristics of their decision boundaries. In this work, we borrow tools from the field of adversarial robustness, and propose a new perspective that relates…

Machine Learning · Computer Science 2020-10-16 Guillermo Ortiz-Jimenez , Apostolos Modas , Seyed-Mohsen Moosavi-Dezfooli , Pascal Frossard

Recent results in nonparametric regression show that for deep learning, i.e., for neural network estimates with many hidden layers, we are able to achieve good rates of convergence even in case of high-dimensional predictor variables,…

Statistics Theory · Mathematics 2019-12-12 Alina Braun , Michael Kohler , Adam Krzyzak

Graph neural networks can accurately predict the chemical properties of many molecular systems, but their suitability for large, macromolecular assemblies such as gels is unknown. Here, graph neural networks were trained and optimised for…

Computational Physics · Physics 2025-04-14 D. A. Head

Multimodal problems are omnipresent in the real world: autonomous driving, robotic grasping, scene understanding, etc... We draw from the well-developed analysis of similarity to provide an example of a problem where neural networks are…

Machine Learning · Computer Science 2021-11-05 Hugues Moreau , Andréa Vassilev , Liming Chen

Deep neural networks can be effective means to automatically classify aerial images but is easy to overfit to the training data. It is critical for trained neural networks to be robust to variations that exist between training and test…

Computer Vision and Pattern Recognition · Computer Science 2019-09-25 Jiayun Wang , Patrick Virtue , Stella X. Yu

Label noise is a significant obstacle in deep learning model training. It can have a considerable impact on the performance of image classification models, particularly deep neural networks, which are especially susceptible because they…

Machine Learning · Computer Science 2023-04-25 Pengwei Yang , Chongyangzi Teng , Jack George Mangos

The next generation of aircraft collision avoidance systems frame the problem as a Markov decision process and use dynamic programming to optimize the alerting logic. The resulting system uses a large lookup table to determine advisories…

Systems and Control · Computer Science 2019-03-05 Kyle D. Julian , Shivam Sharma , Jean-Baptiste Jeannin , Mykel J. Kochenderfer

While gradient descent has proven highly successful in learning connection weights for neural networks, the actual structure of these networks is usually determined by hand, or by other optimization algorithms. Here we describe a simple…

Neural and Evolutionary Computing · Computer Science 2016-08-09 Thomas Miconi

SAR image classification naturally has to deal with huge noise and a high dynamic range particularly requiring robust classification models. Additionally, the deployment of these models on edge devices, such as drones and military aircraft,…

CoVariance Neural Networks (VNNs) perform convolutions on the graph determined by the covariance matrix of the data, which enables expressive and stable covariance-based learning. However, covariance matrices are typically dense, fail to…

Machine Learning · Computer Science 2026-01-21 Andrea Cavallo , Samuel Rey , Antonio G. Marques , Elvin Isufi

Adversarial robustness has become an emerging challenge for neural network owing to its over-sensitivity to small input perturbations. While being critical, we argue that solving this singular issue alone fails to provide a comprehensive…

Machine Learning · Computer Science 2021-03-02 Yu-Lin Tsai , Chia-Yi Hsu , Chia-Mu Yu , Pin-Yu Chen