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Concept

Produit de Kronecker

Publications associées (15)

A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis

Annalisa Buffa, Yannis Dirk Voet, Espen Sande

Explicit time integration schemes coupled with Galerkin discretizations of time-dependent partial differential equations require solving a linear system with the mass matrix at each time step. For applications in structural dynamics, the solution of the li ...

2023

Quadratic serendipity element shape functions on general planar polygons

Xiaodong Wei

This paper proposes a method for the construction of quadratic serendipity element (QSE) shape functions on planar convex and concave polygons. Existing approaches for constructing QSE shape functions are linear combinations of the pair-wise products of ge ...

ELSEVIER SCIENCE SA2022

Faster Monotone Min-Plus Product, Range Mode, and Single Source Replacement Paths

Adam Teodor Polak

One of the most basic graph problems, All-Pairs Shortest Paths (APSP) is known to be solvable in n^{3-o(1)} time, and it is widely open whether it has an O(n^{3-ε}) time algorithm for ε > 0. To better understand APSP, one often strives to obtain subcubic t ...

Schloss Dagstuhl -- Leibniz-Zentrum für Informatik2021

Learning embeddings: efficient algorithms and applications

Cijo Jose

Learning to embed data into a space where similar points are together and dissimilar points are far apart is a challenging machine learning problem. In this dissertation we study two learning scenarios that arise in the context of learning embeddings and o ...

EPFL2018

Recompression Of Hadamard Products Of Tensors In Tucker Format

Daniel Kressner

The Hadamard product features prominently in tensor-based algorithms in scientific computing and data analysis. Due to its tendency to significantly increase ranks, the Hadamard product can represent a major computational obstacle in algorithms based on lo ...

Siam Publications2017

Reduction and Abstraction Techniques for BIP

Simon Bliudze

Reduction and abstraction techniques have been proposed to address the state space explosion problem in verification. In this paper, we present reduction and abstraction techniques for component-based systems modeled in BIP (Behavior, Interaction and Prior ...

Springer2014

Variational Gaussian Inference for Bilinear Models of Count Data

Young Jun Ko, Mohammad Emtiyaz Khan

Bilinear models of count data with Poisson distribution are popular in applications such as matrix factorization for recommendation systems, modeling of receptive fields of sensory neurons, and modeling of neural-spike trains. Bayesian inference in such mo ...

2014

Low-Rank Tensor Methods for Communicating Markov Processes

Daniel Kressner, Francisco Santos Paredes Quartin de Macedo

Stochastic models that describe interacting processes, such as stochastic automata networks, feature a dimensionality that grows exponentially with the number of processes. This state space explosion severely impairs the use of standard methods for the num ...

Springer-Verlag Berlin2014

Fixed-order H-infinity and H-2 Controller Design for Continuous-time Polytopic Systems: An LMI-based Approach

Alireza Karimi

In this paper, a convex set of fixed-order H-infinity and H2 dynamic output-feedback controllers for continuous-time systems with polytopic uncertainty is proposed. This approach is based on the use of some instrumental stable matrices, which operate as a ...

2013

Fixed-order Controller Design for State Space Polytopic Systems by Convex Optimization

Alireza Karimi

In this paper, a new method for fixed-order controller design of systems with polytopic uncertainty in their state space representation is proposed. The approach uses the strictly positive realness (SPRness) of some transfer functions, as a tool to decoupl ...

2013

Coupling matrix synthesis of dissipative microwave filters

Michael Mattes, Francisco Edén Sorolla Rosario

This study reviews the coupling matrix synthesis of dissipative microwave filters. It compares it to the synthesis of lossless transfer functions and shows that by correctly interpreting the mathematical operations in the lossless case, that is especially ...

Institution of Engineering and Technology2011

Reservoir optimization in recurrent neural networks using properties of Kronecker product

Martin Hasler, Mahdi Jalili, Ali Ajdari Rad

Recurrent neural networks based on reservoir computing are increasingly being used in many applications. Optimization of the topological structure of the reservoir and the internal connection weights for a given task is one of the most important problems i ...

2010

Decision support methods for closed-loop conceptual design

The dissertation deals with closed-loop product lifecycle management (PLM) approaches for the product conceptual design improvement using gathered data during the usage period of a product. In closed-loop PLM, the data generated in each lifecycle phase can ...

EPFL2009

Regioselectivity in aqueous palladium catalysed hydroxycarbonylation of styrene: a catalytic and mechanistic study

Gabor Laurenczy, Anisoara Ionescu

Regioselectivity control was studied in palladium catalyzed hydroxycarbonylation of styrene in neat water with water-sol. phosphines, mostly trisulfonated triphenylphosphine, TPPTS, but also N-bis(N',N'-diethyl-2-aminoethyl)-4-aminomethylphenyl-diphenylpho ...

2006

Nonlinear Circuit Analysis using Multivariate Volterra Operators

The work introduces a mathematical framework and a corresponding implementable algorithm to automatically perform Volterra analysis of weakly nonlinear circuits. The analysis is based on the general composition rule for multivariate Volterra operators. The ...

2011