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01/13/2023
Solving PDEs with Incomplete Information
We consider the problem of numerically approximating the solutions to a ...
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09/19/2022
Nonlinear approximation spaces for inverse problems
This paper is concerned with the ubiquitous inverse problem of recoverin...
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04/05/2022
RL4ReAl: Reinforcement Learning for Register Allocation
We propose a novel solution for the Register Allocation problem, leverag...
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02/07/2022
Composable and Modular Code Generation in MLIR: A Structured and Retargetable Approach to Tensor Compiler Construction
Despite significant investment in software infrastructure, machine learn...
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07/28/2021
Recursive Estimation of a Failure Probability for a Lipschitz Function
Let g : Ω = [0, 1] d → R denote a Lipschitz function that can be evaluat...
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05/12/2021
Optimal pointwise sampling for L^2 approximation
Given a function u∈ L^2=L^2(D,μ), where D⊂ℝ^d and μ is a measure on D, a...
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03/25/2021
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients
This paper studies numerical methods for the approximation of elliptic P...
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01/15/2021
Secure Optimization Through Opaque Observations
Secure applications implement software protections against side-channel ...
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10/21/2020
Optimal sampling and Christoffel functions on general domains
We consider the problem of reconstructing an unknown function u∈ L^2(D,μ...
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09/21/2020
Optimal Stable Nonlinear Approximation
While it is well known that nonlinear methods of approximation can often...
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09/06/2020
Nonlinear reduced models for state and parameter estimation
State estimation aims at approximately reconstructing the solution u to ...
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05/06/2020
Nonlinear Methods for Model Reduction
The usual approach to model reduction for parametric partial differentia...
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02/25/2020
MLIR: A Compiler Infrastructure for the End of Moore's Law
This work presents MLIR, a novel approach to building reusable and exten...
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02/01/2020
State Estimation – The Role of Reduced Models
The exploration of complex physical or technological processes usually r...
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04/06/2019
On the Representation of Partially Specified Implementations and its Application to the Optimization of Linear Algebra Kernels on GPU
Traditional optimizing compilers rely on rewrite rules to iteratively ap...
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03/06/2019
Studying EM Pulse Effects on Superscalar Microarchitectures at ISA Level
In the area of physical attacks, system-on-chip (SoC) designs have not r...
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05/28/2018
Sequential sampling for optimal weighted least squares approximations in hierarchical spaces
We consider the problem of approximating an unknown function u∈ L^2(D,ρ)...
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03/28/2018
An Approach for Finding Permutations Quickly: Fusion and Dimension matching
Polyhedral compilers can perform complex loop optimizations that improve...
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02/13/2018