Publications related to Quaternion

Geometric Algebra for Optimal Control With Applications in Manipulation Tasks

Many problems in robotics are fundamentally problems of geometry, which have led to an increased research effort in geometric methods for robotics in recent years. The results were algorithms using the various frameworks of screw theory, Lie algebra, and d ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2023

Preserving the positivity of the deformation gradient determinant in intergrid interpolation by combining RBFs and SVD: Application to cardiac electromechanics

Alfio Quarteroni, Francesco Regazzoni

The accurate, robust and efficient transfer of the deformation gradient tensor between meshes of different resolution is crucial in cardiac electromechanics simulations. This paper presents a novel method that combines rescaled localized Radial Basis Funct ...

Lausanne2023

Unbiasing time-dependent Variational Monte Carlo by projected quantum evolution

Giuseppe Carleo, Clemens Giuliani, Alessandro Sinibaldi, Filippo Vicentini

We analyze the accuracy and sample complexity of variational Monte Carlo approaches to simulate the dynamics of many-body quantum systems classically. By systematically studying the relevant stochastic estimators, we are able to: (i) prove that the most us ...

Wien2023

Fredholm transformation on Laplacian and rapid stabilization for the heat equation

Shengquan Xiang

We study the rapid stabilization of the heat equation on the 1-dimensional torus using the backstepping method with a Fredholm transformation. This classical framework allows us to present the backstepping method with Fredholm transformations for the Lapla ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2022

Fourier non-uniqueness sets from totally real number fields

Martin Peter Stoller

Let K be a totally real number field of degree n >= 2. The inverse different of K gives rise to a lattice in Rn. We prove that the space of Schwartz Fourier eigenfunctions on R-n which vanish on the "component-wise square root" of this lattice, is infinite ...

EUROPEAN MATHEMATICAL SOC-EMS2022

Sensing soft robot shape using imus: An experimental investigation

Josephine Anna Eleanor Hughes, Francesco Stella

Shape estimation of soft robotic systems is challenging due to the range of deformations that can be achieved, and the limited availability of physically compatible sensors. We propose a method of reconstruction using Inertial Measurement Units (IMUs), whi ...

Springer Verlag2021

Large data scattering for NLKG on waveguide R-d x T

Luigi Forcella

We consider the pure-power defocusing nonlinear Klein-Gordon equation, in the H-1-subcritical case, posed on the product space R-d X T, where T is the one-dimensional flat torus. In this framework, we prove that scattering holds for any initial data belong ...

WORLD SCIENTIFIC PUBL CO PTE LTD2020

Exact Preimages of Neural Network Aircraft Collision Avoidance Systems

François Fleuret, Kyle Michael Matoba

A common pattern of progress in engineering has seen deep neural networks displacing human-designed logic. There are many advantages to this approach, divorcing decisionmaking from human oversight and intuition has costs as well. One is that deep neural ne ...

2020

Crosslingual Document Embedding as Reduced-Rank Ridge Regression

Martin Jaggi, Robert West, Martin Josifoski, Ivan Paskov

There has recently been much interest in extending vector-based word representations to multiple languages, such that words can be compared across languages. In this paper, we shift the focus from words to documents and introduce a method for embedding doc ...

2019

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Quaternion

Geometric Algebra for Optimal Control With Applications in Manipulation Tasks

Preserving the positivity of the deformation gradient determinant in intergrid interpolation by combining RBFs and SVD: Application to cardiac electromechanics

Unbiasing time-dependent Variational Monte Carlo by projected quantum evolution

Fredholm transformation on Laplacian and rapid stabilization for the heat equation

Fourier non-uniqueness sets from totally real number fields

Sensing soft robot shape using imus: An experimental investigation

Stabilization of the linearized water tank system

Large data scattering for NLKG on waveguide R-d x T

Exact Preimages of Neural Network Aircraft Collision Avoidance Systems

Crosslingual Document Embedding as Reduced-Rank Ridge Regression

Graph Chatbot

Chat with Graph Search

Fourier non-uniqueness sets from totally real number fields

Preserving the positivity of the deformation gradient determinant in intergrid interpolation by combining RBFs and SVD: Application to cardiac electromechanics

Geometric Algebra for Optimal Control With Applications in Manipulation Tasks

Large data scattering for NLKG on waveguide R-d x T

Fredholm transformation on Laplacian and rapid stabilization for the heat equation

Sensing soft robot shape using imus: An experimental investigation

Exact Preimages of Neural Network Aircraft Collision Avoidance Systems

Unbiasing time-dependent Variational Monte Carlo by projected quantum evolution

Stabilization of the linearized water tank system

Crosslingual Document Embedding as Reduced-Rank Ridge Regression