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Ultra-short laser pulses with femtosecond to attosecond pulse duration are the shortest systematic events humans can create. Characterization (amplitude and phase) of these pulses is a key ingredient in ultrafast science, e.g., exploring…

Optics · Physics 2018-03-19 Tom Zahavy , Alex Dikopoltsev , Oren Cohen , Shie Mannor , Mordechai Segev

We use a supervised machine-learning model based on a neural network to predict the temporal and spectral intensity profiles of the pulses that form upon nonlinear propagation in optical fibers with both normal and anomalous second-order…

Optics · Physics 2020-08-26 Sonia Boscolo , Christophe Finot

Accurate prediction of resource consumption and runtime for cloud workflow jobs is critical for scheduling efficiency, yet remains challenging due to the semi-structured nature of job configurations -- comprising shell commands,…

Machine Learning · Computer Science 2026-05-18 Yuxuan Yin , Shengke Zhou , Yunjie Zhang , Ajay Mohindra , Boxun Xu , Peng Li

Ultrafast lasers have become one of the most powerful tools in coherent nonlinear optical spectroscopy. Short pulses enable direct observation of fast molecular dynamics, whereas broad spectral bandwidth offers ways of controlling nonlinear…

Chemical Physics · Physics 2015-05-13 X. G. Xu , S. O. Konorov , J. W. Hepburn , V. Milner

Underwater acoustic target detection in remote marine sensing operations is challenging due to complex sound wave propagation. Despite the availability of reliable sonar systems, target recognition remains a difficult problem. Various…

Sound · Computer Science 2023-07-27 Jarin Ritu , Ethan Barnes , Riley Martell , Alexandra Van Dine , Joshua Peeples

McKernel introduces a framework to use kernel approximates in the mini-batch setting with Stochastic Gradient Descent (SGD) as an alternative to Deep Learning. Based on Random Kitchen Sinks [Rahimi and Recht 2007], we provide a C++ library…

Machine Learning · Computer Science 2020-04-20 J. D. Curtó , I. C. Zarza , Feng Yang , Alex Smola , Fernando de la Torre , Chong Wah Ngo , Luc van Gool

Optical fibers have been enabling numerous distinguished applications involving the operation and generation of light, such as soliton transmission, light amplification, all-optical switching and supercontinuum generation. The active…

Model inference for dynamical systems aims to estimate the future behaviour of a system from observations. Purely model-free statistical methods, such as Artificial Neural Networks, tend to perform poorly for such tasks. They are therefore…

Machine Learning · Computer Science 2019-08-07 David K. E. Green , Filip Rindler

Optical computing systems provide an alternate hardware model which appears to be aligned with the demands of neural network workloads. However, the challenge of implementing energy efficient nonlinearities in optics -- a key requirement…

Optics · Physics 2025-08-04 N. Richardson , C. Bosch , R. P. Adams

This paper introduces a novel nonparametric framework for data imputation, coined multilinear kernel regression and imputation via the manifold assumption (MultiL-KRIM). Motivated by manifold learning, MultiL-KRIM models data features as a…

Signal Processing · Electrical Eng. & Systems 2024-02-07 Duc Thien Nguyen , Konstantinos Slavakis

Control applications are increasingly sampled non-equidistantly in time, including in motion control, networked control, resource-aware control, and event-triggered control. Some of these applications use measurement devices that sample…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Rodrigo A. González , Koen Tiels , Tom Oomen

We investigate nonlinear instrumental variable (IV) regression given high-dimensional instruments. We propose a simple algorithm which combines kernelized IV methods and an arbitrary, adaptive regression algorithm, accessed as a black box.…

Machine Learning · Statistics 2022-10-25 Ziyu Wang , Yuhao Zhou , Jun Zhu

Many scientific problems require identifying a small set of covariates that are associated with a target response and estimating their effects. Often, these effects are nonlinear and include interactions, so linear and additive methods can…

Computation · Statistics 2022-12-02 Raj Agrawal , Tamara Broderick

Research in modern data-driven dynamical systems is typically focused on the three key challenges of high dimensionality, unknown dynamics, and nonlinearity. The dynamic mode decomposition (DMD) has emerged as a cornerstone for modeling…

Fluid Dynamics · Physics 2022-04-27 Peter J. Baddoo , Benjamin Herrmann , Beverley J. McKeon , Steven L. Brunton

We devise a machine learning technique to solve the general problem of inferring network links that have time-delays. The goal is to do this purely from time-series data of the network nodal states. This task has applications in fields…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Amitava Banerjee , Joseph D. Hart , Rajarshi Roy , Edward Ott

Nonlinear computation is essential for a wide range of information processing tasks, yet implementing nonlinear functions using optical systems remains a challenge due to the weak and power-intensive nature of optical nonlinearities.…

Optics · Physics 2025-11-10 Md Sadman Sakib Rahman , Yuhang Li , Xilin Yang , Shiqi Chen , Aydogan Ozcan

Kernels derived from deep neural networks (DNNs) in the infinite-width regime provide not only high performance in a range of machine learning tasks but also new theoretical insights into DNN training dynamics and generalization. In this…

Machine Learning · Computer Science 2021-10-22 Sina Alemohammad , Randall Balestriero , Zichao Wang , Richard Baraniuk

Signal propagation in an optical fiber can be described by the nonlinear Schr\"odinger equation (NLSE). The NLSE has no known closed-form solution, mostly due to the interaction of dispersion and nonlinearities. In this paper, we present a…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Vinícius Oliari , Erik Agrell , Gabriele Liga , Alex Alvarado

The time-resolved detection of ultrashort pulsed THz-band electric field temporal profiles without an ultrashort laser probe is demonstrated. A non-linear interaction between a narrow-bandwidth optical probe and the THz pulse transposes the…

Optics · Physics 2015-06-11 David A. Walsh , Edward W. Snedden , Steven P. Jamison

It is well-known that spatial averaging can be realized (in space or frequency domain) using algorithms whose complexity does not depend on the size or shape of the filter. These fast algorithms are generally referred to as constant-time or…

Computer Vision and Pattern Recognition · Computer Science 2013-07-23 Kunal Narayan Chaudhury , Daniel Sage , Michael Unser