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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

The wiring of neurons in the brain is more flexible than the wiring of connections in contemporary artificial neural networks. It is possible that this extra flexibility is important for efficient problem solving and learning. This paper…

Machine Learning · Computer Science 2020-06-16 Florian Dietz

Trainable activation functions, whose parameters are optimized alongside network weights, offer increased expressivity compared to fixed activation functions. Specifically, trainable activation functions defined as ratios of polynomials…

Machine Learning · Computer Science 2025-07-22 Rafał Surdej , Michał Bortkiewicz , Alex Lewandowski , Mateusz Ostaszewski , Clare Lyle

Optimal control of complex environments with robotic systems faces two complementary and intertwined challenges: efficient organization of sensory state information and far-sighted action planning. Because the reinforcement learning…

Machine Learning · Computer Science 2026-01-30 Abdullah Akgül , Gulcin Baykal , Manuel Haußmann , Mustafa Mert Çelikok , Melih Kandemir

Neural networks have shown great success in many machine learning related tasks, due to their ability to act as general function approximators. Recent work has demonstrated the effectiveness of neural networks in control systems (known as…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Matthew Newton , Antonis Papachristodoulou

Artificial Intelligence has historically relied on planning, heuristics, and handcrafted approaches designed by experts. All the while claiming to pursue the creation of Intelligence. This approach fails to acknowledge that intelligence…

Neural and Evolutionary Computing · Computer Science 2020-03-27 Jordan Ott

Due to the capability of deep learning to perform well in high dimensional problems, deep reinforcement learning agents perform well in challenging tasks such as Atari 2600 games. However, clearly explaining why a certain action is taken by…

Machine Learning · Computer Science 2019-02-05 Laurens Weitkamp , Elise van der Pol , Zeynep Akata

Deep reinforcement learning, applied to vision-based problems like Atari games, maps pixels directly to actions; internally, the deep neural network bears the responsibility of both extracting useful information and making decisions based…

Machine Learning · Computer Science 2019-03-05 Giuseppe Cuccu , Julian Togelius , Philippe Cudre-Mauroux

How perception and reasoning arise from neuronal network activity is poorly understood. This is reflected in the fundamental limitations of connectionist artificial intelligence, typified by deep neural networks trained via gradient-based…

Artificial Intelligence · Computer Science 2020-02-27 Paul J. Blazek , Milo M. Lin

Developments in reinforcement learning (RL) have allowed algorithms to achieve impressive performance in highly complex, but largely static problems. In contrast, biological learning seems to value efficiency of adaptation to a…

Artificial Intelligence · Computer Science 2022-05-20 Eric Chalmers , Artur Luczak

A deep learning approach to reinforcement learning led to a general learner able to train on visual input to play a variety of arcade games at the human and superhuman levels. Its creators at the Google DeepMind's team called the approach:…

Machine Learning · Computer Science 2015-12-08 Ivan Sorokin , Alexey Seleznev , Mikhail Pavlov , Aleksandr Fedorov , Anastasiia Ignateva

In this paper, we show that, under mild assumptions, input-output behavior of a continous-time recurrent neural network (RNN) can be represented by a rational or polynomial nonlinear system. The assumptions concern the activation function…

Optimization and Control · Mathematics 2019-03-19 Thibault Defourneau , Mihaly Petreczky

Reinforcement learning methods have recently been very successful at performing complex sequential tasks like playing Atari games, Go and Poker. These algorithms have outperformed humans in several tasks by learning from scratch, using only…

Machine Learning · Computer Science 2021-09-28 Ajay Subramanian , Sharad Chitlangia , Veeky Baths

Deep reinforcement learning has been shown to be a powerful framework for learning policies from complex high-dimensional sensory inputs to actions in complex tasks, such as the Atari domain. In this paper, we explore output representation…

Machine Learning · Computer Science 2016-06-16 Ishan P. Durugkar , Clemens Rosenbaum , Stefan Dernbach , Sridhar Mahadevan

Artificial neural networks typically have a fixed, non-linear activation function at each neuron. We have designed a novel form of piecewise linear activation function that is learned independently for each neuron using gradient descent.…

Neural and Evolutionary Computing · Computer Science 2015-04-22 Forest Agostinelli , Matthew Hoffman , Peter Sadowski , Pierre Baldi

Inspired by biological neurons, the activation functions play an essential part in the learning process of any artificial neural network commonly used in many real-world problems. Various activation functions have been proposed in the…

Machine Learning · Computer Science 2022-12-29 Ameya D. Jagtap , George Em Karniadakis

Coordination is a desirable feature in many multi-agent systems such as robotic and socioeconomic networks. We consider a task allocation problem as a binary networked coordination game over an undirected regular graph. Each agent in the…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Yifei Zhang , Marcos M. Vasconcelos

Since the introduction of DQN, a vast majority of reinforcement learning research has focused on reinforcement learning with deep neural networks as function approximators. New methods are typically evaluated on a set of environments that…

Machine Learning · Computer Science 2021-05-25 Johan S. Obando-Ceron , Pablo Samuel Castro

The central tenet of reinforcement learning (RL) is that agents seek to maximize the sum of cumulative rewards. In contrast, active inference, an emerging framework within cognitive and computational neuroscience, proposes that agents act…

Machine Learning · Computer Science 2020-03-02 Alexander Tschantz , Beren Millidge , Anil K. Seth , Christopher L. Buckley

Present-day Deep Reinforcement Learning (RL) systems show great promise towards building intelligent agents surpassing human-level performance. However, the computational complexity associated with the underlying deep neural networks (DNNs)…

Machine Learning · Computer Science 2021-09-20 Adarsh Kumar Kosta , Malik Aqeel Anwar , Priyadarshini Panda , Arijit Raychowdhury , Kaushik Roy
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