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Tensor time series, which is a time series consisting of tensorial observations, has become ubiquitous. It typically exhibits high dimensionality. One approach for dimension reduction is to use a factor model structure, in a form similar to…

Methodology · Statistics 2024-07-19 Yuefeng Han , Rong Chen , Dan Yang , Cun-Hui Zhang

This report considers linear multistep methods through time filtering. The approach has several advantages. It is modular and requires the addition of only one line of additional code. Error estimation and variable timesteps is…

Numerical Analysis · Mathematics 2017-08-22 Ahmet Guzel , William Layton

Due to the explosive growth of large-scale data sets, tensors have been a vital tool to analyze and process high-dimensional data. Different from the matrix case, tensor decomposition has been defined in various formats, which can be…

Optimization and Control · Mathematics 2023-12-27 Rachel Grotheer , Shuang Li , Anna Ma , Deanna Needell , Jing Qin

An accelerated class of adaptive scheme of iterative thresholding algorithms is studied analytically and empirically. They are based on the feedback mechanism of the null space tuning techniques (NST+HT+FB). The main contribution of this…

Information Theory · Computer Science 2020-05-15 Ningning Han , Shidong Li , Zhanjie Song

Tuning a complex simulation code refers to the process of improving the agreement of a code calculation with respect to a set of experimental data by adjusting parameters implemented in the code. This process belongs to the class of inverse…

Computation · Statistics 2024-08-19 Yun Am Seo , Youngsaeng Lee , Jeong-Soo Park

An inexpensive and portable approach to measure the time an experimental event occurs as measured by a specific electronic clock is presented. The clock resets in active synchronization with the experimental AC-power cycle. This allows an…

Nuclear Experiment · Physics 2009-10-31 W. J. Llope , N. Adams , K. K. Kainz

Optical Doppler shift demonstration experiments are not a simple task since the light source cannot usually be moved in a sufficiently smooth and uniform manner to keep the level of noise well below of that of the signal. For that reason…

Physics Education · Physics 2015-06-26 L. Bernal , L. Bilbao

This paper presents a novel approach for steering the state of a stochastic control-affine system to a desired target within a finite time horizon. Our method leverages the time-reversal of diffusion processes to construct the required…

Optimization and Control · Mathematics 2025-09-11 Yuhang Mei , Amirhossein Taghvaei , Ali Pakniyat

In planar metamaterial lenses, the focal point moves with the frequency. Here it is shown numerically that this movement can be controlled by properly engineering the dimensions of the metamaterial-based phase shifters that constitute the…

Optics · Physics 2013-03-01 W. J. Capecchi , N. Behdad , F. A. Volpe

Deep-tissue optical imaging is a longstanding challenge limited by scattering. Both optical imaging and treatment can benefit from focusing light in deep tissue beyond one transport mean free path. Wavefront shaping based on time-reversed…

Optics · Physics 2020-12-09 Juze Zhang , Zijian Gao , Xiaopeng Yu , Peng Ge , Feng Gao , Fei Gao

Variational methods that rely on a recognition network to approximate the posterior of directed graphical models offer better inference and learning than previous methods. Recent advances that exploit the capacity and flexibility in this…

Machine Learning · Computer Science 2018-02-21 R Devon Hjelm , Kyunghyun Cho , Junyoung Chung , Russ Salakhutdinov , Vince Calhoun , Nebojsa Jojic

Controlling waves in complex media has become a major topic of interest, notably through the concepts of time reversal and wavefront shaping. Recently, it was shown that spatial light modulators can counter-intuitively focus waves both in…

Classical Physics · Physics 2016-09-28 Philipp del Hougne , Fabrice Lemoult , Mathias Fink , Geoffroy Lerosey

This article focuses on making discrete-time Adaptive Iterative Learning Control (ILC) more effective using multiple estimation models. Existing strategies use the tracking error to adjust the parametric estimates. Our strategy uses the…

Systems and Control · Electrical Eng. & Systems 2024-06-14 Ram Padmanabhan , Rajini Makam , Koshy George

In video communication, the concealment of distortions caused by transmission errors is important for allowing for a pleasant visual quality and for reducing error propagation. In this article, Denoised Temporal Extrapolation Refinement is…

Image and Video Processing · Electrical Eng. & Systems 2022-07-11 Jürgen Seiler , Michael Schöberl , André Kaup

Recent works demonstrated the usefulness of temporal coherence to regularize supervised training or to learn invariant features with deep architectures. In particular, enforcing smooth output changes while presenting temporally-closed…

Machine Learning · Computer Science 2016-01-05 Davide Maltoni , Vincenzo Lomonaco

The continuous-time analysis of existing iterative algorithms for optimization has a long history. This work proposes a novel continuous-time control-theoretic framework for equality-constrained optimization. The key idea is to design a…

Optimization and Control · Mathematics 2026-02-02 V. Cerone , S. M. Fosson , S. Pirrera , D. Regruto

Iterative refinement (IR) is a popular scheme for solving a linear system of equations based on gradually improving the accuracy of an initial approximation. Originally developed to improve upon the accuracy of Gaussian elimination,…

Numerical Analysis · Mathematics 2025-06-24 Chai Wah Wu , Mark S. Squillante , Vasileios Kalantzis , Lior Horesh

Computational time reversal imaging can be used to locate the position of multiple scatterers in a known background medium. The current methods for computational time reversal imaging are based on the null subspace projection operator,…

Data Analysis, Statistics and Probability · Physics 2009-06-16 M. Andrecut

This paper presents an iterative inversion algorithm for computed tomography image reconstruction that performs well in terms of accuracy and speed using limited data. The computational method combines an image domain technique and…

Image and Video Processing · Electrical Eng. & Systems 2019-01-17 Victor Churchill , Anne Gelb

Optimal control of bilinear systems has been a well-studied subject in the area of mathematical control. However, techniques for solving emerging optimal control problems involving an ensemble of structurally identical bilinear systems are…

Optimization and Control · Mathematics 2016-01-14 Shuo Wang , Jr-Shin Li