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Why heavily parameterized neural networks (NNs) do not overfit the data is an important long standing open question. We propose a phenomenological model of the NN training to explain this non-overfitting puzzle. Our linear frequency…

Machine Learning · Computer Science 2021-05-26 Yaoyu Zhang , Tao Luo , Zheng Ma , Zhi-Qin John Xu

Normal estimation for unstructured point clouds is an important task in 3D computer vision. Current methods achieve encouraging results by mapping local patches to normal vectors or learning local surface fitting using neural networks.…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Shujuan Li , Junsheng Zhou , Baorui Ma , Yu-Shen Liu , Zhizhong Han

Existing adaptive bias techniques, which seek to estimate free energies and physical properties from molecular simulations, are limited by their reliance on fixed kernels or basis sets which hinder their ability to efficiently conform to…

Statistical Mechanics · Physics 2018-04-04 Hythem Sidky , Jonathan K. Whitmer

Deep neural network (DNN) typically involves convolutions, pooling, and activation function. Due to the growing concern about privacy, privacy-preserving DNN becomes a hot research topic. Generally, the convolution and pooling operations…

Cryptography and Security · Computer Science 2024-03-04 Qian Feng , Zhihua Xia , Zhifeng Xu , Jiasi Weng , Jian Weng

We study the relationship between the frequency of a function and the speed at which a neural network learns it. We build on recent results that show that the dynamics of overparameterized neural networks trained with gradient descent can…

Machine Learning · Computer Science 2019-12-03 Ronen Basri , David Jacobs , Yoni Kasten , Shira Kritchman

This work contributes to the development of a new data-driven method (D-DM) of feedforward neural networks (FNNs) learning. This method was proposed recently as a way of improving randomized learning of FNNs by adjusting the network…

Machine Learning · Computer Science 2021-07-07 Grzegorz Dudek

Neural Radiance Fields (NeRF)-based models have achieved remarkable success in 3D reconstruction and rendering tasks. However, during both training and inference, these models rely heavily on dense point sampling along rays from multiple…

Computer Vision and Pattern Recognition · Computer Science 2025-08-01 Ranxi Lin , Canming Yao , Jiayi Li , Weihang Liu , Xin Lou , Pingqiang Zhou

Activation functions (AF) are necessary components of neural networks that allow approximation of functions, but AFs in current use are usually simple monotonically increasing functions. In this paper, we propose trainable compound AF (TCA)…

Machine Learning · Computer Science 2022-04-28 Paul M. Baggenstoss

We propose reproducing activation functions (RAFs) to improve deep learning accuracy for various applications ranging from computer vision to scientific computing. The idea is to employ several basic functions and their learnable linear…

Machine Learning · Computer Science 2021-02-23 Senwei Liang , Liyao Lyu , Chunmei Wang , Haizhao Yang

Organisms in nature have evolved to exhibit flexibility in face of changes to the environment and/or to themselves. Artificial neural networks (ANNs) have proven useful for controlling of artificial agents acting in environments. However,…

Machine Learning · Computer Science 2022-05-18 Joachim Winther Pedersen , Sebastian Risi

Neural Networks (NN) with ReLU activation functions are used to model multiparametric quadratic optimization problems (mp-QP) in diverse engineering applications. Researchers have suggested leveraging the piecewise affine property of deep…

Optimization and Control · Mathematics 2025-10-31 Fuat Can Beylunioglu , Mehrdad Pirnia , P. Robert Duimering

We improve the theoretical and empirical performance of neural-network(NN)-based active learning algorithms for the non-parametric streaming setting. In particular, we introduce two regret metrics by minimizing the population loss that are…

Machine Learning · Computer Science 2023-01-18 Yikun Ban , Yuheng Zhang , Hanghang Tong , Arindam Banerjee , Jingrui He

Overfitting is one of the fundamental challenges when training convolutional neural networks and is usually identified by a diverging training and test loss. The underlying dynamics of how the flow of activations induce overfitting is…

Machine Learning · Computer Science 2021-04-14 Karim Huesmann , Luis Garcia Rodriguez , Lars Linsen , Benjamin Risse

In recent years, deep learning models have demonstrated remarkable success in various domains, such as computer vision, natural language processing, and speech recognition. However, the generalization capabilities of these models can be…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Neelesh Mungoli

For almost 70 years, researchers have typically selected the width of neural networks' layers either manually or through automated hyperparameter tuning methods such as grid search and, more recently, neural architecture search. This paper…

Machine Learning · Computer Science 2026-02-17 Federico Errica , Henrik Christiansen , Viktor Zaverkin , Mathias Niepert , Francesco Alesiani

Integrating Spiking Neural Networks (SNNs) with Transformer architectures offers a promising pathway to balance energy efficiency and performance, particularly for edge vision applications. However, existing Spiking Transformers face two…

Neural and Evolutionary Computing · Computer Science 2026-03-23 Dehao Zhang , Fukai Guo , Shuai Wang , Jingya Wang , Jieyuan Zhang , Yimeng Shan , Malu Zhang , Yang Yang , Haizhou Li

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

Feature attributions are a popular tool for explaining the behavior of Deep Neural Networks (DNNs), but have recently been shown to be vulnerable to attacks that produce divergent explanations for nearby inputs. This lack of robustness is…

Machine Learning · Computer Science 2020-10-23 Zifan Wang , Haofan Wang , Shakul Ramkumar , Matt Fredrikson , Piotr Mardziel , Anupam Datta

Normalizing flows and autoregressive models have been successfully combined to produce state-of-the-art results in density estimation, via Masked Autoregressive Flows (MAF), and to accelerate state-of-the-art WaveNet-based speech synthesis…

Machine Learning · Computer Science 2018-04-04 Chin-Wei Huang , David Krueger , Alexandre Lacoste , Aaron Courville

Spiking Neural Network (SNN) is considered more biologically realistic and power-efficient as it imitates the fundamental mechanism of the human brain. Recently, backpropagation (BP) based SNN learning algorithms that utilize deep learning…

Neural and Evolutionary Computing · Computer Science 2022-10-11 Chengting Yu , Yangkai Du , Mufeng Chen , Aili Wang , Gaoang Wang , Erping Li