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We propose a novel way to improve the generalisation capacity of deep learning models by reducing high correlations between neurons. For this, we present two regularisation terms computed from the weights of a minimum spanning tree of the…

Machine Learning · Computer Science 2023-08-10 Rubén Ballester , Carles Casacuberta , Sergio Escalera

We propose a kernelized classification layer for deep networks. Although conventional deep networks introduce an abundance of nonlinearity for representation (feature) learning, they almost universally use a linear classifier on the learned…

Machine Learning · Computer Science 2021-03-22 Sadeep Jayasumana , Srikumar Ramalingam , Sanjiv Kumar

Dropout is a popular regularization technique in deep learning. Yet, the reason for its success is still not fully understood. This paper provides a new interpretation of Dropout from a frame theory perspective. By drawing a connection to…

Machine Learning · Computer Science 2020-08-20 Dor Bank , Raja Giryes

Deep neural networks have recently achieved notable progress in 3D point cloud recognition, yet their vulnerability to adversarial perturbations poses critical security challenges in practical deployments. Conventional defense mechanisms…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Yuanmin Huang , Wenxuan Li , Mi Zhang , Xiaohan Zhang , Xiaoyu You , Min Yang

Graph representation learning aim at integrating node contents with graph structure to learn nodes/graph representations. Nevertheless, it is found that many existing graph learning methods do not work well on data with high heterophily…

Machine Learning · Computer Science 2023-10-13 Jincheng Huang , Ping Li , Rui Huang , Chen Na , Acong Zhang

Deep neural networks are widely used prediction algorithms whose performance often improves as the number of weights increases, leading to over-parametrization. We consider a two-layered neural network whose first layer is frozen while the…

Machine Learning · Computer Science 2023-04-10 Roman Worschech , Bernd Rosenow

Deep Neural Networks are highly susceptible to shortcut learning, frequently memorizing low-dimensional spurious correlations instead of underlying causal mechanisms. This phenomenon not only degrades out-of-distribution robustness but also…

Machine Learning · Computer Science 2026-04-14 Nicolas Rodriguez-Alvarez , Fernando Rodriguez-Merino

We formalize and study a phenomenon called feature collapse that makes precise the intuitive idea that entities playing a similar role in a learning task receive similar representations. As feature collapse requires a notion of task, we…

Machine Learning · Computer Science 2023-05-26 Thomas Laurent , James H. von Brecht , Xavier Bresson

This paper introduces a new technique to measure the feature dependency of neural network models. The motivation is to better understand a model by querying whether it is using information from human-understandable features, e.g.,…

Machine Learning · Computer Science 2024-10-10 Yinzhu Jin , Matthew B. Dwyer , P. Thomas Fletcher

Conventional application of convolutional neural networks (CNNs) for image classification and recognition is based on the assumption that all target classes are equal(i.e., no hierarchy) and exclusive of one another (i.e., no overlap).…

Machine Learning · Computer Science 2019-06-04 Jaehoon Cha , Kyeong Soo Kim , Sanghyuk Lee

Low dimensional structures appear ubiquitously in the eigenspectra of deep learning matrices in classification networks trained in the overparameterized regime. While theoretical advances have aimed to explain this phenomenology, they…

Machine Learning · Computer Science 2026-05-28 Connall Garrod , Jonathan P. Keating

In this paper, we propose a novel approach for implicit data representation to evaluate similarity of input data using a trained neural network. In contrast to the previous approach, which uses gradients for representation, we utilize only…

Machine Learning · Computer Science 2020-10-12 Alan Savushkin , Nikita Benkovich , Dmitry Golubev

Deep learning models suffer from opaqueness. For Convolutional Neural Networks (CNNs), current research strategies for explaining models focus on the target classes within the associated training dataset. As a result, the understanding of…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Xuehao Liu , Sarah Jane Delany , Susan McKeever

Miscalibration - a mismatch between a model's confidence and its correctness - of Deep Neural Networks (DNNs) makes their predictions hard to rely on. Ideally, we want networks to be accurate, calibrated and confident. We show that, as…

Machine Learning · Computer Science 2020-10-27 Jishnu Mukhoti , Viveka Kulharia , Amartya Sanyal , Stuart Golodetz , Philip H. S. Torr , Puneet K. Dokania

Hierarchical text classification, which aims to classify text documents into a given hierarchy, is an important task in many real-world applications. Recently, deep neural models are gaining increasing popularity for text classification due…

Computation and Language · Computer Science 2019-01-01 Yu Meng , Jiaming Shen , Chao Zhang , Jiawei Han

We present new Bayesian Last Layer neural network models in the setting of multivariate regression under heteroscedastic noise, and propose EM algorithms for parameter learning. Bayesian modeling of a neural network's final layer has the…

Machine Learning · Statistics 2026-02-02 Han Wang , Eiji Kawasaki , Guillaume Damblin , Geoffrey Daniel

Despite the popularity of deep learning, structure learning for deep models remains a relatively under-explored area. In contrast, structure learning has been studied extensively for probabilistic graphical models (PGMs). In particular, an…

Machine Learning · Computer Science 2018-03-19 Zhourong Chen , Xiaopeng Li , Nevin L. Zhang

Loss reweighting is a widely used strategy for long-tailed classification, but existing reweighting strategies often rely on heuristics and rarely define a well-specified target. Inspired by Neural Collapse (NC), the ideal simplex…

Machine Learning · Computer Science 2026-05-12 Jinping Wang , Zixin Tong , Zhiwu Xie , Zhiqiang Gao

Though deep learning has been applied successfully in many scenarios, malicious inputs with human-imperceptible perturbations can make it vulnerable in real applications. This paper proposes an error-correcting neural network (ECNN) that…

Machine Learning · Computer Science 2021-05-10 Yang Song , Qiyu Kang , Wee Peng Tay

Techniques from deep learning play a more and more important role for the important task of calibration of financial models. The pioneering paper by Hernandez [Risk, 2017] was a catalyst for resurfacing interest in research in this area. In…

Mathematical Finance · Quantitative Finance 2019-08-26 Christian Bayer , Blanka Horvath , Aitor Muguruza , Benjamin Stemper , Mehdi Tomas