Results 71 to 80 of about 1,823 (234)
Abstract Tensor products or, more specifically, Kronecker products play a fundamental role in quantum computing and can also help with modeling certain combinatorial problems. In this chapter, we therefore discuss Kronecker products and their properties.
Christian Bauckhage, Rafet Sifa
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Approximation with Kronecker Products [PDF]
, 1993 Let A be an m-by-n matrix with m=m1m2 and n=n1n2. We consider the problem of finding (mathematical formula omitted) so that (mathematical formula omitted) is minimized. This problem can be solved by computing the largest singular value and associated singular vectors of a permuted version of A. If A is symmetric, definite, non-negative, or banded, then
C. F. Loan, N. Pitsianis
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Optimal Control Applications and Methods, EarlyView.Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
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TomoSAR Imaging for the Study of Forested Areas: A Virtual Adaptive Beamforming Approach
Remote Sensing, 2018 Among the objectives of the upcoming space missions Tandem-L and BIOMASS, is the 3-D representation of the global forest structure via synthetic aperture radar (SAR) tomography (TomoSAR).
Gustavo D. Martín del Campo +3 more
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KoPA: Automated Kronecker Product Approximation
J. Mach. Learn. Res., 2019 We consider the problem of matrix approximation and denoising induced by the Kronecker product decomposition. Specifically, we propose to approximate a given matrix by the sum of a few Kronecker products of matrices, which we refer to as the Kronecker product approximation (KoPA).
Chencheng Cai, Rong Chen, Han Xiao
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Evaluating anisotropy‐based Monin–Obukhov similarity theory over canopies and complex terrain
Quarterly Journal of the Royal Meteorological Society, EarlyView.This study shows that an anisotropy‐based generalization of Monin–Obukhov surface‐layer scaling (SC23) applies readily across a wide range of atmospheric conditions with variable terrain, canopies, and land‐cover complexity. This work focuses on the scaling of velocity variances for 7 years at the 47 sites in the National Ecological Observation Network
Tyler S. Waterman +3 more
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article proposes a distributed resilient control framework to ensure consensus tracking for nonlinear heterogeneous multi‐agent systems (NHMAS) under aperiodic denial‐of‐service (DoS) attacks. First, a resilient observer is introduced to estimate the leader's state considering that not all agents have direct access to the leader's ...
Li Liu, Bing Yan, Junkang Ni, Peng Shi
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MathematicsThis paper introduces a novel approach employing the fast cosine transform to tackle the 2-D and 3-D fractional nonlinear Schrödinger equation (fNLSE). The fractional Laplace operator under homogeneous Neumann boundary conditions is first defined through
Peiyao Wang +3 more
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On a Generalisation of the Kronecker Product Designs
The Annals of Mathematical Statistics, 1959 The use of incomplete block designs for estimating and judging the significance of the difference of treatment effects is now standard. Fisher and Yates [2] have provided a complete table of balanced incomplete block designs (BIB) for the value of $r, k \leqq 10$.
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The role of identification in data‐driven policy iteration: A system theoretic study
International Journal of Robust and Nonlinear Control, EarlyView.Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
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