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Photonic lanterns allow the decomposition of highly multimodal light into a simplified modal basis such as single-moded and/or few-moded. They are increasingly finding uses in astronomy, optics and telecommunications. Calculating…

Capsule networks are a recently developed class of neural networks that potentially address some of the deficiencies with traditional convolutional neural networks. By replacing the standard scalar activations with vectors, and by…

Machine Learning · Computer Science 2020-01-30 Arjun Punjabi , Jonas Schmid , Aggelos K. Katsaggelos

Nano-optic imagers that modulate light at sub-wavelength scales could unlock unprecedented applications in diverse domains ranging from robotics to medicine. Although metasurface optics offer a path to such ultra-small imagers, existing…

We proposed a framework for solving inverse problems in differential equations based on neural networks and automatic differentiation. Neural networks are used to approximate hidden fields. We analyze the source of errors in the framework…

Numerical Analysis · Mathematics 2024-12-20 Kailai Xu , Eric Darve

Neural networks have shown great promise in providing a data-first approach to exploring new physics. In this work, we use the full implementation of late time cosmological data to reconstruct a number of scalar-tensor cosmological models…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Konstantinos F. Dialektopoulos , Purba Mukherjee , Jackson Levi Said , Jurgen Mifsud

Sparsity has become popular in machine learning, because it can save computational resources, facilitate interpretations, and prevent overfitting. In this paper, we discuss sparsity in the framework of neural networks. In particular, we…

Machine Learning · Computer Science 2020-06-30 Mohamed Hebiri , Johannes Lederer

Tensor networks (TNs) have been gaining interest as multiway data analysis tools owing to their ability to tackle the curse of dimensionality and to represent tensors as smaller-scale interconnections of their intrinsic features. However,…

Signal Processing · Electrical Eng. & Systems 2017-11-03 Giuseppe G. Calvi , Ilia Kisil , Danilo P. Mandic

Understanding how the visual cortex of the human brain really works is still an open problem for science today. A better understanding of natural intelligence could also benefit object-recognition algorithms based on convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2019-06-28 Anne-Ruth José Meijer , Arnoud Visser

Vision Transformer and its variants have been adopted in many visual tasks due to their powerful capabilities, which also bring significant challenges in computation and storage. Consequently, researchers have introduced various compression…

Neural and Evolutionary Computing · Computer Science 2024-07-30 Zeyu Wang , Weichen Dai , Xiangyu Zhou , Ji Qi , Yi Zhou

Recurrent neural networks are powerful tools for handling incomplete data problems in computer vision, thanks to their significant generative capabilities. However, the computational demand for these algorithms is too high to work in real…

Computer Vision and Pattern Recognition · Computer Science 2015-05-07 Ozgur Yilmaz

Deep neural networks (DNNs) are powerful machine learning models and have succeeded in various artificial intelligence tasks. Although various architectures and modules for the DNNs have been proposed, selecting and designing the…

Neural and Evolutionary Computing · Computer Science 2018-01-24 Shinichi Shirakawa , Yasushi Iwata , Youhei Akimoto

Deep Learning has become exceptionally popular in the last few years due to its success in computer vision and other fields of AI. However, deep neural networks are computationally expensive, which limits their application in low power…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Marton Szemenyei , Vladimir Estivill-Castro

A neuron is a basic physiological and computational unit of the brain. While much is known about the physiological properties of a neuron, its computational role is poorly understood. Here we propose to view a neuron as a signal processing…

Neurons and Cognition · Quantitative Biology 2014-05-14 Tao Hu , Zaid J. Towfic , Cengiz Pehlevan , Alex Genkin , Dmitri B. Chklovskii

One of the central challenges in modern machine learning is understanding how neural networks generalize knowledge learned from training data to unseen test data. While numerous empirical techniques have been proposed to improve…

Machine Learning · Computer Science 2025-04-18 Entao Yang , Xiaotian Zhang , Yue Shang , Ge Zhang

A new generation of sky surveys is poised to provide unprecedented volumes of data containing hundreds of thousands of new strong lensing systems in the coming years. Convolutional neural networks are currently the only state-of-the-art…

Instrumentation and Methods for Astrophysics · Physics 2022-07-12 Ronan Legin , Connor Stone , Yashar Hezaveh , Laurence Perreault-Levasseur

Neural networks and deep learning are changing the way that artificial intelligence is being done. Efficiently choosing a suitable network architecture and fine-tune its hyper-parameters for a specific dataset is a time-consuming task given…

Machine Learning · Computer Science 2019-05-16 David Laredo , Yulin Qin , Oliver Schütze , Jian-Qiao Sun

Neural networks have enabled state-of-the-art approaches to achieve incredible results on computer vision tasks such as object detection. However, such success greatly relies on costly computation resources, which hinders people with cheap…

Computer Vision and Pattern Recognition · Computer Science 2019-11-28 Chien-Yao Wang , Hong-Yuan Mark Liao , I-Hau Yeh , Yueh-Hua Wu , Ping-Yang Chen , Jun-Wei Hsieh

Neural networks have become increasingly prevalent within the geosciences, although a common limitation of their usage has been a lack of methods to interpret what the networks learn and how they make decisions. As such, neural networks…

Atmospheric and Oceanic Physics · Physics 2020-10-28 Benjamin A. Toms , Elizabeth A. Barnes , Imme Ebert-Uphoff

A novel artificial neural network method is proposed for solving Cauchy inverse problems. It allows multiple hidden layers with arbitrary width and depth, which theoretically yields better approximations to the inverse problems. In this…

Numerical Analysis · Mathematics 2020-01-07 Yixin Li , Xianliang Hu