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07/19/2023
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws
We propose a numerical method to solve parameter-dependent hyperbolic pa...
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04/18/2023
A probabilistic reduced basis method for parameter-dependent problems
Probabilistic variants of Model Order Reduction (MOR) methods have recen...
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03/19/2023
Dictionary-based model reduction for state estimation
We consider the problem of state estimation from m linear measurements, ...
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11/19/2022
Moment-SoS Methods for Optimal Transport Problems
Most common Optimal Transport (OT) solvers are currently based on an app...
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12/02/2021
Approximation by tree tensor networks in high dimensions: Sobolev and compositional functions
This paper is concerned with convergence estimates for fully discrete tr...
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04/27/2021
Active learning of tree tensor networks using optimal least-squares
In this paper, we propose new learning algorithms for approximating high...
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04/25/2021
Preconditioners for model order reduction by interpolation and random sketching of operators
The performance of projection-based model order reduction methods for so...
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01/28/2021
Approximation with Tensor Networks. Part III: Multivariate Approximation
We study the approximation of multivariate functions with tensor network...
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07/30/2020
Approximation of Smoothness Classes by Deep ReLU Networks
We consider approximation rates of sparsely connected deep rectified lin...
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07/30/2020
A PAC algorithm in relative precision for bandit problem with costly sampling
This paper considers the problem of maximizing an expectation function o...
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07/02/2020
Learning with tree tensor networks: complexity estimates and model selection
In this paper, we propose and analyze a model selection method for tree ...
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06/30/2020
Approximation with Tensor Networks. Part II: Approximation Rates for Smoothness Classes
We study the approximation by tensor networks (TNs) of functions from cl...
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06/30/2020
Approximation with Tensor Networks. Part I: Approximation Spaces
We study the approximation of functions by tensor networks (TNs). We sho...
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01/23/2020
A geometry based algorithm for dynamical low-rank approximation
In this paper, we propose a geometry based algorithm for dynamical low-r...
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12/24/2019
Singular Value Decomposition in Sobolev Spaces: Part II
Under certain conditions, an element of a tensor product space can be id...
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12/17/2019
Learning high-dimensional probability distributions using tree tensor networks
We consider the problem of the estimation of a high-dimensional probabil...
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12/15/2019
Boosted optimal weighted least-squares
This paper is concerned with the approximation of a function u in a give...
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10/31/2019
Randomized linear algebra for model reduction. Part II: minimal residual methods and dictionary-based approximation
A methodology for using random sketching in the context of model order r...
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11/11/2018
Learning with tree-based tensor formats
This paper is concerned with the approximation of high-dimensional funct...
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04/30/2013