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The use of machine learning methods to tackle challenging physical layer signal processing tasks has attracted significant attention. In this work, we focus on the use of neural networks (NNs) to perform pilot-assisted channel estimation in…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Michel van Lier , Alexios Balatsoukas-Stimming , Henk Corporaaal , Zoran Zivkovic

We review the basic outline of the highly successful diffusion Monte Carlo technique commonly used in contexts ranging from electronic structure calculations to rare event simulation and data assimilation, and propose a new class of…

Numerical Analysis · Mathematics 2017-10-10 Lek-Heng Lim , Jonathan Weare

Programmable linear optical interferometers are important for classical and quantum information technologies, as well as for building hardware-accelerated artificial neural networks. Recent results showed the possibility of constructing…

Low-rank matrix approximation is extremely useful in the analysis of data that arises in scientific computing, engineering applications, and data science. However, as data sizes grow, traditional low-rank matrix approximation methods, such…

Numerical Analysis · Mathematics 2020-02-26 Bolong Zhang , Michael Mascagni

LBP is a successful hand-crafted feature descriptor in computer vision. However, in the deep learning era, deep neural networks, especially convolutional neural networks (CNNs) can automatically learn powerful task-aware features that are…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Zhuo Su , Matti Pietikäinen , Li Liu

A fast algorithm for the approximation of a low rank LU decomposition is presented. In order to achieve a low complexity, the algorithm uses sparse random projections combined with FFT-based random projections. The asymptotic approximation…

Numerical Analysis · Mathematics 2016-01-19 Yariv Aizenbud , Gil Shabat , Amir Averbuch

A noiseless linear amplifier (NLA) performs the highest quality amplification allowable under the rules of quantum physics. Unfortunately, these same rules conspire against us via the no-cloning theorem, which constrains NLA operations to…

Quantum Physics · Physics 2023-10-27 Joshua J. Guanzon , Matthew S. Winnel , Deepesh Singh , Austin P. Lund , Timothy C. Ralph

Laser machining is a highly flexible non-contact manufacturing technique that has been employed widely across academia and industry. Due to nonlinear interactions between light and matter, simulation methods are extremely crucial, as they…

Computational Engineering, Finance, and Science · Computer Science 2023-01-04 Razyeh Behbahani , Hamidreza Yazdani Sarvestani , Erfan Fatehi , Elham Kiyani , Behnam Ashrafi , Mikko Karttunen , Meysam Rahmat

Graph neural networks have been shown to achieve excellent performance for several crucial tasks in particle physics, such as charged particle tracking, jet tagging, and clustering. An important domain for the application of these networks…

One of the greatest efforts of computational scientists is to translate the mathematical model describing a class of physical phenomena into large and complex codes. Many of these codes face the difficulty of implementing the mathematical…

Computational Engineering, Finance, and Science · Computer Science 2018-01-17 Edoardo Di Napoli , Elmar Peise , Markus Hrywniak , Paolo Bientinesi

Recurrent neural networks (RNNs) have recently achieved remarkable successes in a number of applications. However, the huge sizes and computational burden of these models make it difficult for their deployment on edge devices. A practically…

Machine Learning · Computer Science 2019-12-10 Liangjian Wen , Xuanyang Zhang , Haoli Bai , Zenglin Xu

Today's high performance deep artificial neural networks (ANNs) rely heavily on parameter optimization, which is sequential in nature and even with a powerful GPU, would have taken weeks to train them up for solving challenging tasks [22].…

Computer Vision and Pattern Recognition · Computer Science 2015-02-12 Kean Hong Lau , Yong Haur Tay , Fook Loong Lo

Previous works suggested the use of Branch and Bound techniques for finding the optimal allocation in (multi-unit) combinatorial auctions. They remarked that Linear Programming could provide a good upper-bound to the optimal allocation, but…

Computer Science and Game Theory · Computer Science 2007-05-23 Rica Gonen , Daniel Lehmann

We introduce randomized algorithms to Clifford's Geometric Algebra, generalizing randomized linear algebra to hypercomplex vector spaces. This novel approach has many implications in machine learning, including training neural networks to…

Machine Learning · Computer Science 2024-06-11 Yifei Wang , Sungyoon Kim , Paul Chu , Indu Subramaniam , Mert Pilanci

Non-orthogonal multiple access (NOMA) is a promising technique for optical wireless communication (OWC), enabling multiple users to share the optical spectrum simultaneously through the power domain. However, imperfect channel state…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Ahmed A. Hassan , Ahmad Adnan Qidan , Taisir Elgorashi , Jaafar Elmirghani

Randomized sampling has recently been proven a highly efficient technique for computing approximate factorizations of matrices that have low numerical rank. This paper describes an extension of such techniques to a wider class of matrices…

Numerical Analysis · Mathematics 2015-03-25 Per-Gunnar Martinsson

Deep learning using Convolutional Neural Networks (CNNs) has been shown to significantly out-performed many conventional vision algorithms. Despite efforts to increase the CNN efficiency both algorithmically and with specialized hardware,…

Computer Vision and Pattern Recognition · Computer Science 2021-05-24 Carlos Mauricio Villegas Burgos , Tianqi Yang , Nick Vamivakas , Yuhao Zhu

Nonlinear component analysis such as kernel Principle Component Analysis (KPCA) and kernel Canonical Correlation Analysis (KCCA) are widely used in machine learning, statistics and data analysis, but they can not scale up to big datasets.…

Machine Learning · Computer Science 2016-01-12 Bo Xie , Yingyu Liang , Le Song

The ever-increasing data demand craves advancements in high-speed and energy-efficient computing hardware. Analog optical neural network (ONN) processors have emerged as a promising solution, offering benefits in bandwidth and energy…

Optics · Physics 2026-04-07 Chao Luan , Ronald Davis , Zaijun Chen , Dirk Englund , Ryan Hamerly

Optical computing accelerators may help alleviate bandwidth and power consumption bottlenecks in electronics. We show an approach to implementing logarithmic-type analog co-processors in silicon photonics and use it to perform the…

Optics · Physics 2016-04-20 Yunshan Jiang , Peter T. S. DeVore , Bahram Jalali