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Neural network-based function approximation plays a pivotal role in the advancement of scientific computing and machine learning. Yet, training such models faces several challenges: (i) each target function often requires training a new…

Machine Learning · Computer Science 2025-10-13 Xinwen Hu , Yunqing Huang , Nianyu Yi , Peimeng Yin

Backpropagation is driving today's artificial neural networks (ANNs). However, despite extensive research, it remains unclear if the brain implements this algorithm. Among neuroscientists, reinforcement learning (RL) algorithms are often…

Neurons and Cognition · Quantitative Biology 2020-04-24 Benjamin James Lansdell , Prashanth Ravi Prakash , Konrad Paul Kording

While end-to-end training of Deep Neural Networks (DNNs) yields state of the art performance in an increasing array of applications, it does not provide insight into, or control over, the features being extracted. We report here on a…

Neural and Evolutionary Computing · Computer Science 2022-07-11 Metehan Cekic , Can Bakiskan , Upamanyu Madhow

CNN visualization and interpretation methods, like class-activation maps (CAMs), are typically used to highlight the image regions linked to class predictions. These models allow to simultaneously classify images and extract class-dependent…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Soufiane Belharbi , Ismail Ben Ayed , Luke McCaffrey , Eric Granger

Spiking neural networks (SNNs) have received significant attention for their biological plausibility. SNNs theoretically have at least the same computational power as traditional artificial neural networks (ANNs). They possess potential of…

Neural and Evolutionary Computing · Computer Science 2020-06-04 Yangfan Hu , Huajin Tang , Gang Pan

This paper introduces a structured, adaptive-length deep representation called Neural Eigenmap. Unlike prior spectral methods such as Laplacian Eigenmap that operate in a nonparametric manner, Neural Eigenmap leverages NeuralEF to…

Machine Learning · Computer Science 2023-12-11 Zhijie Deng , Jiaxin Shi , Hao Zhang , Peng Cui , Cewu Lu , Jun Zhu

Recent research has found that the activation function (AF) selected for adding non-linearity into the output can have a big impact on how effectively deep learning networks perform. Developing activation functions that can adapt…

Neural and Evolutionary Computing · Computer Science 2023-06-06 Ashish Rajanand , Pradeep Singh

Encoding input coordinates with sinusoidal functions into multilayer perceptrons (MLPs) has proven effective for implicit neural representations (INRs) of low-dimensional signals, enabling the modeling of high-frequency details. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Diana Aldana , João Paulo Lima , Daniel Csillag , Daniel Perazzo , Haoan Feng , Luiz Velho , Tiago Novello

Network representation learning (NRL) is an effective graph analytics technique and promotes users to deeply understand the hidden characteristics of graph data. It has been successfully applied in many real-world tasks related to network…

Social and Information Networks · Computer Science 2021-03-09 Ke Sun , Lei Wang , Bo Xu , Wenhong Zhao , Shyh Wei Teng , Feng Xia

Spiking Neural Networks (SNNs) have been proposed as biologically plausible and energy-efficient alternatives to conventional Artificial Neural Networks (ANNs). However, the training of SNN usually relies on surrogate gradients due to the…

Neural and Evolutionary Computing · Computer Science 2026-05-11 Himanshu Udupi , Xiaocong Yang , ChengXiang Zhai

This article is concerned with the approximation and expressive powers of deep neural networks. This is an active research area currently producing many interesting papers. The results most commonly found in the literature prove that neural…

Machine Learning · Computer Science 2019-05-08 I. Daubechies , R. DeVore , S. Foucart , B. Hanin , G. Petrova

Reinforcement learning (RL) is a goal-oriented learning solution that has proven to be successful for Neural Architecture Search (NAS) on the CIFAR and ImageNet datasets. However, a limitation of this approach is its high computational…

Neural and Evolutionary Computing · Computer Science 2019-12-04 J. Gomez Robles , J. Vanschoren

In this article we study high-dimensional approximation capacities of shallow and deep artificial neural networks (ANNs) with the rectified linear unit (ReLU) activation. In particular, it is a key contribution of this work to reveal that…

Numerical Analysis · Mathematics 2023-01-23 Lukas Gonon , Robin Graeber , Arnulf Jentzen

Ability of deep networks to extract high level features and of recurrent networks to perform time-series inference have been studied. In view of universality of one hidden layer network at approximating functions under weak constraints, the…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Sharat C. Prasad , Piyush Prasad

Deep neural networks can be trained in reciprocal space, by acting on the eigenvalues and eigenvectors of suitable transfer operators in direct space. Adjusting the eigenvalues, while freezing the eigenvectors, yields a substantial…

Machine Learning · Computer Science 2021-12-08 Lorenzo Chicchi , Lorenzo Giambagli , Lorenzo Buffoni , Timoteo Carletti , Marco Ciavarella , Duccio Fanelli

In this work, we study value function approximation in reinforcement learning (RL) problems with high dimensional state or action spaces via a generalized version of representation policy iteration (RPI). We consider the limitations of…

Machine Learning · Computer Science 2019-01-18 Sephora Madjiheurem , Laura Toni

This survey provides an in-depth and explanatory review of the approximation properties of deep neural networks, with a focus on feed-forward and residual architectures. The primary objective is to examine how effectively neural networks…

Machine Learning · Computer Science 2024-12-18 Owen Davis , Mohammad Motamed

Success of deep neural networks in diverse tasks across domains of computer vision, speech recognition and natural language processing, has necessitated understanding the dynamics of training process and also working of trained models. Two…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Yogesh Kochar , Sunil Kumar Vengalil , Neelam Sinha

Adversarial examples have shown that albeit highly accurate, models learned by machines, differently from humans, have many weaknesses. However, humans' perception is also fundamentally different from machines, because we do not see the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Danilo Vasconcellos Vargas , Bingli Liao , Takahiro Kanzaki

Periodic activation functions, often referred to as learned Fourier features have been widely demonstrated to improve sample efficiency and stability in a variety of deep RL algorithms. Potentially incompatible hypotheses have been made…

Machine Learning · Computer Science 2025-03-20 Augustine N. Mavor-Parker , Matthew J. Sargent , Caswell Barry , Lewis Griffin , Clare Lyle