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Alireza Doostan

University of Colorado at Boulder

CO

SCHOLARLY PAPERS

9

DOWNLOADS

320

TOTAL CITATIONS

0

Scholarly Papers (9)

1.

Constrained or Unconstrained? Neural-Network-Based Equation Discovery from Data

Number of pages: 39 Posted: 23 Aug 2024
affiliation not provided to SSRN, Sandia National Laboratories, Sandia National Laboratories, University of Colorado at Boulder and University of Colorado at Boulder
Downloads 68 (899,324)

Abstract:

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Equation Discovery, Data-Driven Modeling, Nonlinear Dynamics, Partial Differential Equations, Data-Driven Discovery, Machine Learning

2.

Quadconv: Quadrature-Based Convolutions with Applications to Non-Uniform Pde Data Compression

Number of pages: 23 Posted: 14 Mar 2023
University of Colorado at Boulder, University of Colorado at Boulder, University of Colorado at Boulder and University of Colorado at Boulder
Downloads 63 (942,565)

Abstract:

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quadrature, Convolution, Deep-Learning, Compression

3.

Derivative-Based SINDy (DSINDy): Addressing the Challenge of Discovering Governing Equations from Noisy Data

Number of pages: 39 Posted: 10 Mar 2023
Jacqueline Wentz and Alireza Doostan
University of Colorado at Boulder and University of Colorado at Boulder
Downloads 45 (1,121,190)

Abstract:

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sparse regression, Nonlinear Dynamics, SINDy, denoising, data-driven modeling

4.

Online Randomized Interpolative Decomposition With A Posteriori Error Estimator for Temporal Pde Data Reduction

Number of pages: 33 Posted: 31 Jul 2024
Angran Li, Stephen Becker and Alireza Doostan
affiliation not provided to SSRN, University of Colorado at Boulder and University of Colorado at Boulder
Downloads 36 (1,236,159)

Abstract:

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Low-rank Approximation, Single-pass Algorithm, Interpolative Decomposition, Column Subset Selection, Randomized Algorithm, Error Estimation

5.

Ensemble Wsindy for Data Driven Discovery of Governing Equations from Laser-Based Full-Field Measurements

Number of pages: 25 Posted: 28 Dec 2024
affiliation not provided to SSRN, University of Colorado at Boulder and affiliation not provided to SSRN
Downloads 30 (1,332,057)

Abstract:

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equation discovery, WSINDy, data driven mechanics, ensemble methods, full-field measurements, laser vibrometry

6.

Genmod: A Generative Modeling Approach for Spectral Representation of Pdes with Random Inputs

Number of pages: 56 Posted: 16 Feb 2022
Jacqueline Wentz and Alireza Doostan
University of Colorado at Boulder and University of Colorado at Boulder
Downloads 29 (1,332,057)

Abstract:

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Uncertainty Quantification, polynomial chaos expansion, compressed sensing, nonlinear approximation, sparse approximation

7.

Bi-fidelity Interpolative Decomposition for Multimodal Data

Number of pages: 23 Posted: 11 Sep 2025
Stanford University, Stanford University, Stanford University, University of Colorado at Boulder and Stanford University
Downloads 25 (1,399,036)

Abstract:

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Bi-fidelity approximation, Interpolative decomposition, Uncertainty quantification, Low-rank approximation

8.

In Situ Training of Implicit Neural Compressors for Scientific Simulations via Sketch-Based Regularization

Number of pages: 22 Posted: 09 Feb 2026
Cooper Simpson, Stephen Becker and Alireza Doostan
University of Washington, University of Colorado at Boulder and University of Colorado at Boulder
Downloads 13 (1,548,648)

Abstract:

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Continual learning, Neural fields, Streaming data, Scientific Machine Learning, Unstructured data, Catastrophic forgetting

9.

LEARNING GRADIENT FLOW: USING EQUATION DISCOVERY TO ACCELERATE ENGINEERING OPTIMIZATION

Number of pages: 44 Posted: 17 Feb 2026
Grant Norman, Conor Rowan, K.K. Maute and Alireza Doostan
affiliation not provided to SSRN, affiliation not provided to SSRN, University of Colorado at Boulder and University of Colorado at Boulder
Downloads 11 (1,541,665)

Abstract:

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Equation discovery, Data-driven modeling, Gradient flow, Surrogate models, Optimization