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Many popular feature-attribution methods for interpreting deep neural networks rely on computing the gradients of a model's output with respect to its inputs. While these methods can indicate which input features may be important for the…

Machine Learning · Computer Science 2023-07-11 Kevin Du , Lucas Torroba Hennigen , Niklas Stoehr , Alexander Warstadt , Ryan Cotterell

In the brain, learning signals change over time and synaptic location, and are applied based on the learning history at the synapse, in the complex process of neuromodulation. Learning in artificial neural networks, on the other hand, is…

Neural and Evolutionary Computing · Computer Science 2018-12-11 Dennis G Wilson , Sylvain Cussat-Blanc , Hervé Luga , Kyle Harrington

Deep neural networks are often seen as different from other model classes by defying conventional notions of generalization. Popular examples of anomalous generalization behaviour include benign overfitting, double descent, and the success…

Machine Learning · Computer Science 2025-07-11 Andrew Gordon Wilson

We explore artificial neural networks as a tool for the reconstruction of spectral functions from imaginary time Green's functions, a classic ill-conditioned inverse problem. Our ansatz is based on a supervised learning framework in which…

Federated learning of deep learning models for supervised tasks, e.g. image classification and segmentation, has found many applications: for example in human-in-the-loop tasks such as film post-production where it enables sharing of domain…

Machine Learning · Statistics 2021-11-22 Cangxiong Chen , Neill D. F. Campbell

This paper introduces feature gradient flow, a new technique for interpreting deep learning models in terms of features that are understandable to humans. The gradient flow of a model locally defines nonlinear coordinates in the input data…

Image and Video Processing · Electrical Eng. & Systems 2023-07-26 Yinzhu Jin , Jonathan C. Garneau , P. Thomas Fletcher

Despite intense interest and considerable effort, the current generation of neural networks suffers a significant loss of accuracy under most practically relevant privacy training regimes. One particularly challenging class of neural…

Machine Learning · Computer Science 2021-06-07 Huanyu Zhang , Ilya Mironov , Meisam Hejazinia

An important problem in deep learning is the privacy and security of neural networks (NNs). Both aspects have long been considered separately. To date, it is still poorly understood how privacy enhancing training affects the robustness of…

Cryptography and Security · Computer Science 2021-05-18 Franziska Boenisch , Philip Sperl , Konstantin Böttinger

The superior performance of modern deep networks usually comes with a costly training procedure. This paper presents a new curriculum learning approach for the efficient training of visual backbones (e.g., vision Transformers). Our work is…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Yulin Wang , Yang Yue , Rui Lu , Tianjiao Liu , Zhao Zhong , Shiji Song , Gao Huang

Understanding the training dynamics of deep learning models is perhaps a necessary step toward demystifying the effectiveness of these models. In particular, how do data from different classes gradually become separable in their feature…

Machine Learning · Computer Science 2021-10-13 Jiayao Zhang , Hua Wang , Weijie J. Su

Deep learning has arguably achieved tremendous success in recent years. In simple words, deep learning uses the composition of many nonlinear functions to model the complex dependency between input features and labels. While neural networks…

Machine Learning · Statistics 2019-04-16 Jianqing Fan , Cong Ma , Yiqiao Zhong

As deep learning applications continue to deploy increasingly large artificial neural networks, the associated high energy demands are creating a need for alternative neuromorphic approaches. Optics and photonics are particularly compelling…

Optics · Physics 2025-08-19 Nicola Dal Cin , Florian Marquardt , Clara C. Wanjura

Understanding the training dynamics of deep neural networks remains a major open problem, with physics-inspired approaches offering promising insights. Building on this perspective, we develop a thermodynamic framework to describe the…

Machine Learning · Computer Science 2026-05-15 Ildus Sadrtdinov , Ekaterina Lobacheva , Ivan Klimov , Mikhail Burtsev , Mikhail I. Katsnelson , Dmitry Vetrov

Neural networks can be used to learn the solution of partial differential equations (PDEs) on arbitrary domains without requiring a computational mesh. Common approaches integrate differential operators in training neural networks using a…

Machine Learning · Computer Science 2022-07-07 Shamsulhaq Basir , Inanc Senocak

Gradient descent prevails in artificial neural network training, but seems inept for spiking neural networks as small parameter changes can cause sudden, disruptive (dis-)appearances of spikes. Here, we demonstrate exact gradient descent…

Neurons and Cognition · Quantitative Biology 2025-01-29 Christian Klos , Raoul-Martin Memmesheimer

The performance of deep segmentation models often degrades due to distribution shifts in image intensities between the training and test data sets. This is particularly pronounced in multi-centre studies involving data acquired using…

Image and Video Processing · Electrical Eng. & Systems 2021-08-03 Zhendong Liu , Van Manh , Xin Yang , Xiaoqiong Huang , Karim Lekadir , Víctor Campello , Nishant Ravikumar , Alejandro F Frangi , Dong Ni

The success of deep neural networks largely depends on the statistical structure of the training data. While learning dynamics and generalization on isotropic data are well-established, the impact of pronounced anisotropy on these crucial…

Machine Learning · Statistics 2026-01-13 Taishi Watanabe , Ryo Karakida , Jun-nosuke Teramae

Deep learning models are increasingly popular in many machine learning applications where the training data may contain sensitive information. To provide formal and rigorous privacy guarantee, many learning systems now incorporate…

Machine Learning · Computer Science 2021-03-19 Xiangyi Chen , Zhiwei Steven Wu , Mingyi Hong

Neural integral equations are deep learning models based on the theory of integral equations, where the model consists of an integral operator and the corresponding equation (of the second kind) which is learned through an optimization…

Numerical Analysis · Mathematics 2025-11-14 Emanuele Zappala

Training loss and throughput can hide distinct internal representation in language-model training. To examine these hidden mechanics, we use spectral measurements as practical and operational diagnostics. Using a controlled family of…

Machine Learning · Statistics 2026-05-08 Andy Zeyi Liu , Elliot Paquette , John Sous
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