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08/04/2023
Coordinate-adaptive integration of PDEs on tensor manifolds
We introduce a new tensor integration method for time-dependent PDEs tha...
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08/04/2023
Enabling Data Confidentiality with Public Blockchains
Blockchain technology is apt to facilitate the automation of multi-party...
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03/31/2023
MARTSIA: Enabling Data Confidentiality for Blockchain-based Process Execution
Multi-party business processes rely on the collaboration of various play...
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09/12/2022
The Mori-Zwanzig formulation of deep learning
We develop a new formulation of deep learning based on the Mori-Zwanzig ...
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07/25/2022
Tensor rank reduction via coordinate flows
Recently, there has been a growing interest in efficient numerical algor...
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07/21/2022
Cryptographic and Financial Fairness
A recent trend in multi-party computation is to achieve cryptographic fa...
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07/05/2022
Implicit step-truncation integration of nonlinear PDEs on low-rank tensor manifolds
Explicit step-truncation tensor methods have recently proven successful ...
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12/10/2020
Rank-adaptive tensor methods for high-dimensional nonlinear PDEs
We present a new rank-adaptive tensor method to compute the numerical so...
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08/01/2020
Step-truncation integrators for evolution equations on low-rank tensor manifolds
We develop a new class of algorithms, which we call step-truncation meth...
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07/19/2020
Dynamic tensor approximation of high-dimensional nonlinear PDEs
We present a new method based on functional tensor decomposition and dyn...
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06/29/2020
Improving neural network predictions of material properties with limited data using transfer learning
We develop new transfer learning algorithms to accelerate prediction of ...
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03/25/2020
Spectral methods for nonlinear functionals and functional differential equations
We develop a rigorous convergence analysis for finite-dimensional approx...
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11/21/2019
Density Propagation with Characteristics-based Deep Learning
Uncertainty propagation in nonlinear dynamic systems remains an outstand...
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09/17/2019
A new scalable algorithm for computational optimal control under uncertainty
We address the design and synthesis of optimal control strategies for hi...
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08/26/2019
Stability analysis of hierarchical tensor methods for time-dependent PDEs
In this paper we address the question of whether it is possible to integ...
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07/12/2019
Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs
We develop new dynamically orthogonal tensor methods to approximate mult...
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06/11/2019