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We investigate prediction accuracy for time series of Echo state networks with respect to several kinds of activation functions. As a result, we found that some kinds of activation functions with an appropriate nonlinearity show high…

Neural and Evolutionary Computing · Computer Science 2019-05-24 Hanten Chang , Shinji Nakaoka , Hiroyasu Ando

Recently, Cartesian Genetic Programming has been used to evolve developmental programs to guide the formation of artificial neural networks (ANNs). This approach has demonstrated success in enabling ANNs to perform multiple tasks while…

Neural and Evolutionary Computing · Computer Science 2024-07-16 Yintong Zhang , Jason A. Yoder

Long-horizon embodied tasks remain a fundamental challenge in AI, as current methods rely on hand-engineered rewards or action-labeled demonstrations, neither of which scales. We introduce ASH, an agentic system that learns an embodied…

Artificial Intelligence · Computer Science 2026-05-15 Benjamin Schneider , Xavier Schneider , Victor Zhong , Sun Sun

Activation functions are key to effective backpropagation and expressiveness in deep neural networks. This work introduces Tangma, a new activation function that combines the smooth shape of the hyperbolic tangent with two learnable…

Neural and Evolutionary Computing · Computer Science 2025-07-16 Shreel Golwala

Unraveling the interplay between connectivity and spatio-temporal dynamics in neuronal networks is a key step to advance our understanding of neuronal information processing. Here we investigate how particular features of network…

Neurons and Cognition · Quantitative Biology 2015-07-21 Michael T. Schaub , Yazan N. Billeh , Costas A. Anastassiou , Christof Koch , Mauricio Barahona

In this article we present new results on neural networks with linear threshold activation functions. We precisely characterize the class of functions that are representable by such neural networks and show that 2 hidden layers are…

Machine Learning · Computer Science 2023-10-20 Sammy Khalife , Hongyu Cheng , Amitabh Basu

Pre-trained generalist policies are rapidly gaining relevance in robot learning due to their promise of fast adaptation to novel, in-domain tasks. This adaptation often relies on collecting new demonstrations for a specific task of interest…

Machine Learning · Computer Science 2025-06-24 Marco Bagatella , Jonas Hübotter , Georg Martius , Andreas Krause

Artificial Neural Networks (ANNs) are bio-inspired models of neural computation that have proven highly effective. Still, ANNs lack a natural notion of time, and neural units in ANNs exchange analog values in a frame-based manner, a…

Neural and Evolutionary Computing · Computer Science 2017-10-16 Davide Zambrano , Roeland Nusselder , H. Steven Scholte , Sander Bohte

Deep neural networks have exhibited remarkable performance across a wide range of real-world tasks. However, comprehending the underlying reasons for their effectiveness remains a challenging problem. Interpreting deep neural networks…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Chenxu Zhao , Wei Qian , Yucheng Shi , Mengdi Huai , Ninghao Liu

This article contributes to the current statistical theory of deep neural networks (DNNs). It was shown that DNNs are able to circumvent the so--called curse of dimensionality in case that suitable restrictions on the structure of the…

Statistics Theory · Mathematics 2020-10-14 Sophie Langer

We introduce SPLASH units, a class of learnable activation functions shown to simultaneously improve the accuracy of deep neural networks while also improving their robustness to adversarial attacks. SPLASH units have both a simple…

Machine Learning · Computer Science 2020-06-17 Mohammadamin Tavakoli , Forest Agostinelli , Pierre Baldi

The expressive power of artificial neural networks crucially depends on the nonlinearity of their activation functions. Though a wide variety of nonlinear activation functions have been proposed for use in artificial neural networks, a…

Disordered Systems and Neural Networks · Physics 2021-02-24 Jacob A. Zavatone-Veth , Cengiz Pehlevan

We consider neural networks with rational activation functions. The choice of the nonlinear activation function in deep learning architectures is crucial and heavily impacts the performance of a neural network. We establish optimal bounds…

Neural and Evolutionary Computing · Computer Science 2020-10-01 Nicolas Boullé , Yuji Nakatsukasa , Alex Townsend

Energy efficiency is a crucial performance metric in sensor networks, directly determining the network lifetime. Consequently, a key factor in WSN is to improve overall energy efficiency to extend the network lifetime. Although many…

Networking and Internet Architecture · Computer Science 2017-07-26 Gal Oren , Leonid Barenboim , Harel Levin

This paper investigates the approximation properties of deep neural networks with piecewise-polynomial activation functions. We derive the required depth, width, and sparsity of a deep neural network to approximate any H\"{o}lder smooth…

Numerical Analysis · Mathematics 2022-12-06 Denis Belomestny , Alexey Naumov , Nikita Puchkin , Sergey Samsonov

Autism spectrum disorder (ASD) is regarded as a brain disease with globally disrupted neuronal networks. Even though fMRI studies have revealed abnormal functional connectivity in ASD, they have not reached a consensus of the disrupted…

Computer Vision and Pattern Recognition · Computer Science 2017-07-26 Hongyoon Choi

Activation functions are essential to deep learning networks. Popular and versatile activation functions are mostly monotonic functions, some non-monotonic activation functions are being explored and show promising performance. But by…

Neural and Evolutionary Computing · Computer Science 2023-05-26 Junjia Chen , Zhibin Pan

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

Connecting neural activity to function is a common aim in neuroscience. How to define and conceptualize function, however, can vary. Here I focus on grounding this goal in the specific question of how a given change in behavior is produced…

Neurons and Cognition · Quantitative Biology 2023-11-14 Grace W. Lindsay

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
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