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This paper reveal the selective rotation in the CNNs' forward processing. It elucidates the activation function as a discerning mechanism that unifies and quantizes the rotational aspects of the input data. Experiments show how this defined…

Machine Learning · Computer Science 2023-12-04 Peixin Tian

Convolutional Neural Networks (CNNs) are a class of Artificial Neural Networks(ANNs) that employ the method of convolving input images with filter-kernels for object recognition and classification purposes. In this paper, we propose a…

Emerging Technologies · Computer Science 2018-08-20 Hengameh Bagherian , Scott Skirlo , Yichen Shen , Huaiyu Meng , Vladimir Ceperic , Marin Soljacic

Single neurons in neural networks are often interpretable in that they represent individual, intuitively meaningful features. However, many neurons exhibit $\textit{mixed selectivity}$, i.e., they represent multiple unrelated features. A…

Machine Learning · Statistics 2023-10-19 David Klindt , Sophia Sanborn , Francisco Acosta , Frédéric Poitevin , Nina Miolane

Artificial neural network (ANN) is a very useful tool in solving learning problems. Boosting the performances of ANN can be mainly concluded from two aspects: optimizing the architecture of ANN and normalizing the raw data for ANN. In this…

Machine Learning · Computer Science 2017-12-27 Qingjiu Zhang , Shiliang Sun

In this paper, we are introducing a novel model of artificial intelligence, the functional neural network for modeling of human decision-making processes. This neural network is composed of multiple artificial neurons racing in the network.…

Neural and Evolutionary Computing · Computer Science 2022-12-13 Frederic Jumelle , Kelvin So , Didan Deng

Cognitive Architectures are the forefront of the research into developing an artificial cognition. However, they approach the problem from a separated memory and program model of computation. This model of computation poses a fundamental…

Artificial Intelligence · Computer Science 2024-11-07 Alfredo Ibias , Hector Antona , Guillem Ramirez-Miranda , Enric Guinovart , Eduard Alarcon

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

Artificial neural networks (ANNs) are essential tools in machine learning that have drawn increasing attention in neuroscience. Besides offering powerful techniques for data analysis, ANNs provide a new approach for neuroscientists to build…

Neurons and Cognition · Quantitative Biology 2020-09-25 Guangyu Robert Yang , Xiao-Jing Wang

The conclusions provided by deep neural networks (DNNs) must be carefully scrutinized to determine whether they are universal or architecture dependent. The term DAG-DNN refers to a graphical representation of a DNN in which the…

Machine Learning · Computer Science 2023-06-19 Wen-Liang Hwang

Classical results in neural network approximation theory show how arbitrary continuous functions can be approximated by networks with a single hidden layer, under mild assumptions on the activation function. However, the classical theory…

Optimization and Control · Mathematics 2023-04-06 Tyler Lekang , Andrew Lamperski

For the study of functional aspects of the brain network. This paper is a study on the hypergraph representation, based on the functional regions of the brain network. A new parameter that can measure how many multifunctioning regions each…

Neurons and Cognition · Quantitative Biology 2023-12-20 Anagha P , Selvakumar R

Artificial neural networks are often very complex and too deep for a human to understand. As a result, they are usually referred to as black boxes. For a lot of real-world problems, the underlying pattern itself is very complicated, such…

Machine Learning · Computer Science 2020-11-26 Yang Li

Properties such as composability and automatic differentiation made artificial neural networks a pervasive tool in applications. Tackling more challenging problems caused neural networks to progressively become more complex and thus…

Category Theory · Mathematics 2022-09-07 Mattia G. Bergomi , Pietro Vertechi

The abstract mathematical rules of artificial neural network (ANN) are implemented through computation using electronic computers, photonics and in-vitro DNA computation. Here we demonstrate the physical realization of ANN in living…

Biological Physics · Physics 2020-01-06 Kathakali Sarkar , Deepro Bonnerjee , Sangram Bagh

We characterize the computational power of neural networks that follow the graph neural network (GNN) architecture, not restricted to aggregate-combine GNNs or other particular types. We establish an exact correspondence between the…

Machine Learning · Computer Science 2024-11-22 Timon Barlag , Vivian Holzapfel , Laura Strieker , Jonni Virtema , Heribert Vollmer

The recent progress of artificial intelligence (AI) has boosted the computational possibilities in fields where standard computers are not able to perform. The AI paradigm is to emulate human intelligence and therefore breaks the familiar…

The need for more transparency of the decision-making processes in artificial neural networks steadily increases driven by their applications in safety critical and ethically challenging domains such as autonomous driving or medical…

Neural and Evolutionary Computing · Computer Science 2020-05-12 Richard Meyes , Constantin Waubert de Puiseau , Andres Posada-Moreno , Tobias Meisen

The performance of artificial neural networks (ANNs) is influenced by weight initialization, the nature of activation functions, and their architecture. There is a wide range of activation functions that are traditionally used to train a…

Machine Learning · Statistics 2018-11-30 Saeid Safaei , Vahid Safaei , Solmazi Safaei , Zerotti Woods , Hamid R. Arabnia , Juan B. Gutierrez

This paper deals with the problem of neural code solving. On the basis of the formulated hypotheses the information model of a neuron-detector is suggested, the detector being one of the basic elements of an artificial neural network (ANN).…

Neural and Evolutionary Computing · Computer Science 2014-11-26 Yuri Parzhin

With computers to handle more and more complicated things in variable environments, it becomes an urgent requirement that the artificial intelligence has the ability of automatic judging and deciding according to numerous specific…

Neural and Evolutionary Computing · Computer Science 2017-08-03 Gang Wang