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Emergence of deep neural networks (DNNs) has raised enormous attention towards artificial neural networks (ANNs) once again. They have become the state-of-the-art models and have won different machine learning challenges. Although these…

Neural and Evolutionary Computing · Computer Science 2022-12-09 Shahriar Rezghi Shirsavar , Abdol-Hossein Vahabie , Mohammad-Reza A. Dehaqani

A common problem in time series analysis is to predict dynamics with only scalar or partial observations of the underlying dynamical system. For data on a smooth compact manifold, Takens theorem proves a time delayed embedding of the…

Machine Learning · Computer Science 2023-04-12 Charles D. Young , Michael D. Graham

Artificial neural networks (ANNs) are at the core of most Deep learning (DL) algorithms that successfully tackle complex problems like image recognition, autonomous driving, and natural language processing. However, unlike biological brains…

Neural and Evolutionary Computing · Computer Science 2024-09-16 Spyridon Chavlis , Panayiota Poirazi

Deep artificial neural networks (ANNs) can represent a wide range of complex functions. Implementing ANNs in Von Neumann computing systems, though, incurs a high energy cost due to the bottleneck created between CPU and memory.…

Neural and Evolutionary Computing · Computer Science 2018-02-21 John Mern , Jayesh K Gupta , Mykel Kochenderfer

Spiking neural networks (SNNs) have shown clear advantages over traditional artificial neural networks (ANNs) for low latency and high computational efficiency, due to their event-driven nature and sparse communication. However, the…

Neural and Evolutionary Computing · Computer Science 2020-07-03 Jibin Wu , Chenglin Xu , Daquan Zhou , Haizhou Li , Kay Chen Tan

Topological phases enable protected transport along the edges of materials, offering immunity against scattering from disorder and imperfections. These phases were suggested and demonstrated not only for electronic systems, but also for…

In this article we propose a new deep learning approach to approximate operators related to parametric partial differential equations (PDEs). In particular, we introduce a new strategy to design specific artificial neural network (ANN)…

Numerical Analysis · Mathematics 2026-05-01 Arnulf Jentzen , Adrian Riekert , Philippe von Wurstemberger

In recent years, deep learning has been a revolution in the field of machine learning, for computer vision in particular. In this approach, a deep (multilayer) artificial neural network (ANN) is trained in a supervised manner using…

Neural and Evolutionary Computing · Computer Science 2019-01-23 Amirhossein Tavanaei , Masoud Ghodrati , Saeed Reza Kheradpisheh , Timothee Masquelier , Anthony S. Maida

Synthetic dimensions based on particles' internal degrees of freedom, such as frequency, spatial modes and arrival time, have attracted significant attention. They offer ideal large-scale lattices to simulate nontrivial topological…

Synthetic photonic lattice with temporally controlled potentials is a versatile platform for realizing wave dynamics associated with physical areas of optics and quantum physics. Here, discrete optics in one-dimensionally synthetic photonic…

Optics · Physics 2020-10-28 Zengrun Wen , Kaile Wang , Baole Lu , Xinyuan Qi , Haowei Chen , Jintao Bai

Synthetic dimensions alter one of the most fundamental properties in nature, the dimension of space. They allow, for example, a real three-dimensional system to act as effectively four-dimensional. Driven by such possibilities, synthetic…

Quantum Gases · Physics 2018-03-01 Bhuvanesh Sundar , Bryce Gadway , Kaden R. A. Hazzard

Light's ability to perform massive linear operations parallelly has recently inspired numerous demonstrations of optics-assisted artificial neural networks (ANN). However, a clear advantage of optics over purely digital ANN in a…

The surge in interest in Artificial Intelligence (AI) over the past decade has been driven almost exclusively by advances in Artificial Neural Networks (ANNs). While ANNs set state-of-the-art performance for many previously intractable…

Neural and Evolutionary Computing · Computer Science 2022-09-02 Peter G. Stratton , Andrew Wabnitz , Chip Essam , Allen Cheung , Tara J. Hamilton

Artificial neural networks (ANNs) are highly flexible predictive models. However, reliably quantifying uncertainty for their predictions is a continuing challenge. There has been much recent work on "recalibration" of predictive…

Methodology · Statistics 2024-03-12 R. Torres , D. J. Nott , S. A. Sisson , T. Rodrigues , J. G. Reis , G. S. Rodrigues

The field of machine learning has been greatly transformed with the advancement of deep artificial neural networks (ANNs) and the increased availability of annotated data. Spiking neural networks (SNNs) have recently emerged as a low-power…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Marc Baltes , Nidal Abujahar , Ye Yue , Charles D. Smith , Jundong Liu

Engineering synthetic dimensions, where the physics of additional spatial dimensions is simulated within the internal states of a quantum system, allows the realisation of phenomena not otherwise accessible in experiments. Ultracold…

The field of neuromorphic computing promises extremely low-power and low-latency sensing and processing. Challenges in transferring learning algorithms from traditional artificial neural networks (ANNs) to spiking neural networks (SNNs)…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Jesse Hagenaars , Federico Paredes-Vallés , Guido de Croon

Deep Neural Networks (DNNs) are a critical component for self-driving vehicles. They achieve impressive performance by reaping information from high amounts of labeled data. Yet, the full complexity of the real world cannot be encapsulated…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Julien Rebut , Andrei Bursuc , Patrick Pérez

In this study, we explore the impact of network topology on the approximation capabilities of artificial neural networks (ANNs), with a particular focus on complex topologies. We propose a novel methodology for constructing complex ANNs…

Neural and Evolutionary Computing · Computer Science 2023-10-24 Tommaso Boccato , Matteo Ferrante , Andrea Duggento , Nicola Toschi

Deep neural networks (DNNs) have shown exceptional performances in a wide range of tasks and have become the go-to method for problems requiring high-level predictive power. There has been extensive research on how DNNs arrive at their…

Machine Learning · Computer Science 2023-02-21 Mattias Luber , Anton Thielmann , Benjamin Säfken
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