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In this paper, we analyze embeddings of grid graphs on orientable surfaces. We determine the genus of a large class of k-dimensional grid graphs and effective two-sided bounds for the genus of any 3-dimensional grid graph, both in terms of…

Combinatorics · Mathematics 2022-04-20 Christian Millichap , Fabian Salinas

As a vital cognitive function of animals, the navigation skill is first built on the accurate perception of the directional heading in the environment. Head direction cells (HDCs), found in the limbic system of animals, are proven to play…

Neural and Evolutionary Computing · Computer Science 2021-09-23 Zhenshan Bing , Amir EI Sewisy , Genghang Zhuang , Florian Walter , Fabrice O. Morin , Kai Huang , Alois Knoll

Recent advances in deep learning have allowed Artificial Intelligence (AI) to reach near human-level performance in many sensory, perceptual, linguistic or cognitive tasks. There is a growing need, however, for novel, brain-inspired…

Artificial Intelligence · Computer Science 2021-02-23 Rufin VanRullen , Ryota Kanai

In this paper we review the mathematical foundations of convolutional neural nets (CNNs) with the goals of: i) highlighting connections with techniques from statistics, signal processing, linear algebra, differential equations, and…

Machine Learning · Computer Science 2021-07-08 Shengli Jiang , Victor M. Zavala

Graph neural networks provide a powerful toolkit for embedding real-world graphs into low-dimensional spaces according to specific tasks. Up to now, there have been several surveys on this topic. However, they usually lay emphasis on…

Machine Learning · Computer Science 2022-02-28 Yu Zhou , Haixia Zheng , Xin Huang , Shufeng Hao , Dengao Li , Jumin Zhao

A table arranging data in rows and columns is a very effective data structure, which has been widely used in business and scientific research. Considering large-scale tabular data in online and offline documents, automatic table recognition…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Wenyuan Xue , Baosheng Yu , Wen Wang , Dacheng Tao , Qingyong Li

Early olfactory pathway responses to the presentation of an odor exhibit remarkably similar dynamical behavior across phyla from insects to mammals, and frequently involve transitions among quiescence, collective network oscillations, and…

Neurons and Cognition · Quantitative Biology 2020-09-29 Pamela B Pyzza , Katherine A Newhall , Douglas Zhou , Gregor Kovacic , David Cai

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

Systems and Control · Computer Science 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Deep convolutional neural networks (CNNs) achieve remarkable performance on image classification tasks. Recent studies, however, have demonstrated that generalization abilities are more important than the depth of neural networks for…

Computer Vision and Pattern Recognition · Computer Science 2017-10-04 Atsushi Takeda

Graph neural network (GNN) models are increasingly being used for the classification of electroencephalography (EEG) data. However, GNN-based diagnosis of neurological disorders, such as Alzheimer's disease (AD), remains a relatively…

Neurons and Cognition · Quantitative Biology 2023-12-21 Dominik Klepl , Fei He , Min Wu , Daniel J. Blackburn , Ptolemaios G. Sarrigiannis

To perform any meaningful optimization task, distribution grid operators need to know the topology of their grids. Although power grid topology identification and verification has been recently studied, discovering instantaneous interplay…

Information Theory · Computer Science 2019-11-11 Qiuling Yang , Mario Coutino , Gang Wang , Georgios B. Giannakis , Geert Leus

Deep neural networks have made tremendous gains in emulating human-like intelligence, and have been used increasingly as ways of understanding how the brain may solve the complex computational problems on which this relies. However, these…

Machine Learning · Computer Science 2024-01-24 Shanka Subhra Mondal , Steven Frankland , Taylor Webb , Jonathan D. Cohen

Grid computing has attracted many researchers over a few years, and as a result many new protocols have emerged and also evolved since its inception a decade ago. Grid protocols play major role in implementing services that facilitate…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-25 Harshad B. Prajapati , Vipul K. Dabhi

Grid and cloud computing systems have been extensively used to solve large and complex problems in science and engineering areas. These systems include powerful computing resources connected through high-speed networks. Due to recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-17 Sayed Chhattan Shah

Is Power Line Communications (PLC) a good candidate for Smart Grid applications? The objective of this paper is to address this important question. To do so we provide an overview of what PLC can deliver today by surveying its history and…

Networking and Internet Architecture · Computer Science 2011-01-13 Stefano Galli , Anna Scaglione , Zhifang Wang

Encoding information about continuous variables using noisy computational units is a challenge; nonetheless, asymptotic theory shows that combining multiple periodic scales for coding can be highly precise despite the corrupting influence…

Neurons and Cognition · Quantitative Biology 2013-08-22 Alexander Mathis , Andreas V. M. Herz , Martin B. Stemmler

The big strides seen in generative AI are not based on somewhat obscure algorithms, but due to clearly defined generative principles. The resulting concrete implementations have proven themselves in large numbers of applications. We suggest…

Artificial Intelligence · Computer Science 2025-11-21 Claudius Gros

The topology of artificial neural networks has a significant effect on their performance. Characterizing efficient topology is a field of promising research in Artificial Intelligence. However, it is not a trivial task and it is mainly…

Neural and Evolutionary Computing · Computer Science 2022-05-23 Fabien Furfaro , Avner Bar-Hen , Geoffroy Berthelot

It is a popular hypothesis in neuroscience that ganglion cells in the retina are activated by selectively detecting visual features in an observed scene. While ganglion cell firings can be predicted via data-trained deep neural nets, the…

Machine Learning · Computer Science 2024-01-04 Yasaman Parhizkar , Gene Cheung , Andrew W. Eckford
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