Publications related to Coordinate vector

Randomized flexible GMRES with deflated restarting

For a high dimensional problem, a randomized Gram-Schmidt (RGS) algorithm is beneficial in computational costs as well as numerical stability. We apply this dimension reduction technique by random sketching to Krylov subspace methods, e.g. to the generaliz ...

Springer2024

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Fabio Nobile, Yoshihito Kazashi, Fabio Zoccolan

In this paper, we set the mathematical foundations of the Dynamical Low Rank Approximation (DLRA) method for high-dimensional stochastic differential equations. DLRA aims at approximating the solution as a linear combination of a small number of basis vect ...

2023

High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics

Junming Duan

This paper develops high-order accurate entropy stable (ES) adaptive moving mesh finite difference schemes for the two- and three-dimensional special relativistic hydrodynamic (RHD) and magnetohydrodynamic (RMHD) equations, which is the high-order accurate ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2022

Learning V1 Simple Cells with Vector Representation of Local Content and Matrix Representation of Local Motion

Yufan Ren, Siyuan Huang

This paper proposes a representational model for image pairs such as consecutive video frames that are related by local pixel displacements, in the hope that the model may shed light on motion perception in primary visual cortex (V1). The model couples the ...

ASSOC ADVANCEMENT ARTIFICIAL INTELLIGENCE2022

On compact representations of Voronoi cells of lattices

Matthias Schymura, Christoph Hunkenschröder

In a seminal work, Micciancio and Voulgaris (SIAM J Comput 42(3):1364-1391, 2013) described a deterministic single-exponential time algorithm for the closest vector problem (CVP) on lattices. It is based on the computation of the Voronoi cell of the given ...

SPRINGER HEIDELBERG2020

Extinction In Lower Hessenberg Branching Processes With Countably Many Types

Sophie Myriam Hautphenne

We consider a class of branching processes with countably many types which we refer to as Lower Hessenberg branching processes. These are multitype Galton-Watson processes with typeset X = {0, 1, 2,...}, in which individuals of type i may give birth to off ...

INST MATHEMATICAL STATISTICS2019

On compact representations of Voronoi cells of lattices

Matthias Schymura, Christoph Hunkenschröder

In a seminal work, Micciancio & Voulgaris (2010) described a deterministic single-exponential time algorithm for the Closest Vector Problem (CVP) on lattices. It is based on the computation of the Voronoi cell of the given lattice and thus may need exponen ...

SPRINGER INTERNATIONAL PUBLISHING AG2018

Structure preserving model reduction of parametric Hamiltonian systems

Jan Sickmann Hesthaven, Babak Maboudi Afkham

While reduced-order models (ROMs) are popular for approximately solving large systems of differential equations, the stability of reduced models over long-time integration remains an open question. We present a greedy approach for ROM generation of paramet ...

2017

Methods and systems for low-power and pin-efficient communications with superposition signaling codes

Mohammad Amin Shokrollahi, Harm Cronie

Abstract A communication system uses a bus to transmit information, by receiving signals and mapping them to a second set of signals representing codewords of a superposition signaling code, and transmitting the second set of signals. The superposition sig ...

2016

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Coordinate vector

Randomized flexible GMRES with deflated restarting

Dynamically Orthogonal Approximation for Stochastic Differential Equations

High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics

Learning V1 Simple Cells with Vector Representation of Local Content and Matrix Representation of Local Motion

Point, Plane, Set, Match! Winning the Echo Grand SLAM

On compact representations of Voronoi cells of lattices

Extinction In Lower Hessenberg Branching Processes With Countably Many Types

On compact representations of Voronoi cells of lattices

Structure preserving model reduction of parametric Hamiltonian systems

Methods and systems for low-power and pin-efficient communications with superposition signaling codes

Graph Chatbot

Chat with Graph Search

On compact representations of Voronoi cells of lattices

Extinction In Lower Hessenberg Branching Processes With Countably Many Types

High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Randomized flexible GMRES with deflated restarting

Point, Plane, Set, Match! Winning the Echo Grand SLAM

On compact representations of Voronoi cells of lattices

Structure preserving model reduction of parametric Hamiltonian systems

Methods and systems for low-power and pin-efficient communications with superposition signaling codes

Learning V1 Simple Cells with Vector Representation of Local Content and Matrix Representation of Local Motion