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Traditional analytical reflectance models, while compact and interpretable, lack the capacity to accurately represent physical measurements. Recent neural models, which closely fit input data, are less generalizable and often more expensive…

Graphics · Computer Science 2026-04-28 Xuanzhe Shen , Xiaohe Ma , Kun Zhou , Hongzhi Wu

In this work, we propose activation functions for neuronal networks that are refinable and sum the identity. This new class of activation functions allows the insertion of new layers between existing ones and/or the increase of neurons in a…

Numerical Analysis · Mathematics 2025-05-07 Sergio López-Ureña

Many experiments have been performed that use evolutionary algorithms for learning the topology and connection weights of a neural network that controls a robot or virtual agent. These experiments are not only performed to better understand…

Neural and Evolutionary Computing · Computer Science 2019-05-23 Benjamin Inden , Jürgen Jost

We propose a novel graph-driven generative model, that unifies multiple heterogeneous learning tasks into the same framework. The proposed model is based on the fact that heterogeneous learning tasks, which correspond to different…

Machine Learning · Computer Science 2019-11-21 Wenlin Wang , Hongteng Xu , Zhe Gan , Bai Li , Guoyin Wang , Liqun Chen , Qian Yang , Wenqi Wang , Lawrence Carin

Automated Feature Engineering (AutoFE) has become an important task for any machine learning project, as it can help improve model performance and gain more information for statistical analysis. However, most current approaches for AutoFE…

Machine Learning · Computer Science 2023-08-16 Sammuel Ramos Silva , Rodrigo Silva

We present the soft exponential activation function for artificial neural networks that continuously interpolates between logarithmic, linear, and exponential functions. This activation function is simple, differentiable, and parameterized…

Neural and Evolutionary Computing · Computer Science 2016-02-04 Luke B. Godfrey , Michael S. Gashler

A crucial property for achieving secure, trustworthy and interpretable deep learning systems is their robustness: small changes to a system's inputs should not result in large changes to its outputs. Mathematically, this means one strives…

Machine Learning · Computer Science 2024-06-04 Bernd Prach , Christoph H. Lampert

Successful training of convolutional neural networks is often associated with sufficiently deep architectures composed of high amounts of features. These networks typically rely on a variety of regularization and pruning techniques to…

Computer Vision and Pattern Recognition · Computer Science 2017-10-23 Martin Mundt , Tobias Weis , Kishore Konda , Visvanathan Ramesh

Computational models of neurodegeneration aim to emulate the evolving pattern of pathology in the brain during neurodegenerative disease, such as Alzheimer's disease. Previous studies have made specific choices on the mechanisms of…

Quantitative Methods · Quantitative Biology 2023-08-11 Tiantian He , Elinor Thompson , Anna Schroder , Neil P. Oxtoby , Ahmed Abdulaal , Frederik Barkhof , Daniel C. Alexander

Convolutional networks have been the paradigm of choice in many computer vision applications. The convolution operation however has a significant weakness in that it only operates on a local neighborhood, thus missing global information.…

Computer Vision and Pattern Recognition · Computer Science 2020-09-11 Irwan Bello , Barret Zoph , Ashish Vaswani , Jonathon Shlens , Quoc V. Le

Diversity conveys advantages in nature, yet homogeneous neurons typically comprise the layers of artificial neural networks. Here we construct neural networks from neurons that learn their own activation functions, quickly diversify, and…

Machine Learning · Computer Science 2023-09-01 Anshul Choudhary , Anil Radhakrishnan , John F. Lindner , Sudeshna Sinha , William L. Ditto

In the context of multi-agent systems of binary interacting particles, a kinetic model for action potential dynamics on a neural network is proposed, accounting for heterogeneity in the neuron-to-neuron connections, as well as in the brain…

Biological Physics · Physics 2026-02-24 Marzia Bisi , Martina Conte , Maria Groppi

The article is devoted to the study of neural networks with one hidden layer and a modified activation function for solving physical problems. A rectified sigmoid activation function has been proposed to solve physical problems described by…

Numerical Analysis · Mathematics 2024-12-31 Vasiliy A. Es'kin , Alexey O. Malkhanov , Mikhail E. Smorkalov

Artificial neural networks (ANN), typically referred to as neural networks, are a class of Machine Learning algorithms and have achieved widespread success, having been inspired by the biological structure of the human brain. Neural…

Machine Learning · Computer Science 2022-04-08 Murilo Gustineli

Neural networks are generally built by interleaving (adaptable) linear layers with (fixed) nonlinear activation functions. To increase their flexibility, several authors have proposed methods for adapting the activation functions…

Machine Learning · Statistics 2017-11-27 Simone Scardapane , Steven Van Vaerenbergh , Simone Totaro , Aurelio Uncini

We propose a new generative modeling technique for learning multidimensional cumulative distribution functions (CDFs) in the form of copulas. Specifically, we consider certain classes of copulas known as Archimedean and hierarchical…

Machine Learning · Computer Science 2022-05-30 Yuting Ng , Ali Hasan , Khalil Elkhalil , Vahid Tarokh

NeuroEvolution (NE) methods are known for applying Evolutionary Computation to the optimisation of Artificial Neural Networks(ANNs). Despite aiding non-expert users to design and train ANNs, the vast majority of NE approaches disregard the…

Neural and Evolutionary Computing · Computer Science 2020-04-02 Filipe Assunção , Nuno Lourenço , Bernardete Ribeiro , Penousal Machado

We describe a novel family of models of multi- layer feedforward neural networks in which the activation functions are encoded via penalties in the training problem. Our approach is based on representing a non-decreasing activation function…

Machine Learning · Computer Science 2018-06-22 Armin Askari , Geoffrey Negiar , Rajiv Sambharya , Laurent El Ghaoui

Generating high-resolution, photo-realistic images has been a long-standing goal in machine learning. Recently, Nguyen et al. (2016) showed one interesting way to synthesize novel images by performing gradient ascent in the latent space of…

Computer Vision and Pattern Recognition · Computer Science 2017-04-13 Anh Nguyen , Jeff Clune , Yoshua Bengio , Alexey Dosovitskiy , Jason Yosinski

An artificial neuron is modelled as a weighted summation followed by an activation function which determines its output. A wide variety of activation functions such as rectified linear units (ReLU), leaky-ReLU, Swish, MISH, etc. have been…

Machine Learning · Computer Science 2019-12-30 Fayyaz ul Amir Afsar Minhas , Amina Asif