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Employment (2)

New York University: New York, US

2025-09-01 to present | Assistant Professor (Courant Institute of Mathematical Sciences)
Employment
Source: Self-asserted source
Nikola Kovachki

NVIDIA Corporation: Santa Clara, US

2022-08-01 to present | Research Scientist (NVIDIA Research)
Employment
Source: Self-asserted source
Nikola Kovachki

Education and qualifications (2)

California Institute of Technology: Pasadena, CA, US

2016-09-01 to 2022-06-15 | Ph.D (Applied and Computational Mathematics)
Education
Source: Self-asserted source
Nikola Kovachki

California Institute of Technology: Pasadena, CA, US

2012-09-01 to 2016-06-15 | BS (Mathematics)
Education
Source: Self-asserted source
Nikola Kovachki

Works (26)

An approximation theory framework for measure-transport sampling algorithms

Mathematics of Computation
2024 | Journal article
Contributors: Baptista, Ricardo; Hosseini, Bamdad; Kovachki, Nikola; Marzouk, Youssef; Sagiv, Amir
Source: Self-asserted source
Nikola Kovachki

Continuum Attention for Neural Operators

CoRR
2024 | Journal article
Contributors: Calvello, Edoardo; Kovachki, Nikola B; Levine, Matthew E; Stuart, Andrew M
Source: Self-asserted source
Nikola Kovachki

Data Complexity Estimates for Operator Learning

CoRR
2024 | Journal article
Contributors: Kovachki, Nikola B; Lanthaler, Samuel; Mhaskar, Hrushikesh
Source: Self-asserted source
Nikola Kovachki

Geometry-informed Neural Operator for Large-scale 3D PDEs

Advances in Neural Information Processing Systems (NeurIPS)
2024 | Conference paper
Contributors: Li, Zongyi; Kovachki, Nikola; Choy, Chris; Li, Boyi; Kossaifi, Jean; Otta, Shourya; Nabian, Mohammad Amin; Stadler, Maximilian; Hundt, Christian; Azizzadenesheli, Kamyar et al.
Source: Self-asserted source
Nikola Kovachki

Multi-Grid Tensorized Fourier Neural Operator for High- Resolution PDEs

Transactions on Machine Learning Research
2024 | Journal article
Part of ISSN: 2835-8856
Contributors: Jean Kossaifi; Nikola Borislavov Kovachki; Kamyar Azizzadenesheli; Anima Anandkumar
Source: Self-asserted source
Nikola Kovachki

Neural operators for accelerating scientific simulations and design

Nature Reviews Physics
2024 | Journal article
Contributors: Azizzadenesheli, Kamyar; Kovachki, Nikola; Li, Zongyi; Liu-Schiaffini, Miguel; Kossaifi, Jean; Anandkumar, Anima
Source: Self-asserted source
Nikola Kovachki

Operator learning: Algorithms and analysis

Numerical Analysis meets Machine Learning in Handbook of Numerical Analysis
2024 | Conference paper
Contributors: Kovachki, Nikola B; Lanthaler, Samuel; Stuart, Andrew M
Source: Self-asserted source
Nikola Kovachki

Physics-informed neural operator for learning partial differential equations

ACM/JMS Journal of Data Science
2024 | Journal article
Contributors: Li, Zongyi; Zheng, Hongkai; Kovachki, Nikola; Jin, David; Chen, Haoxuan; Liu, Burigede; Azizzadenesheli, Kamyar; Anandkumar, Anima
Source: Self-asserted source
Nikola Kovachki

Conditional Sampling with Monotone GANs: From Generative Models to Likelihood-Free Inference

SIAM/ASA Journal on Uncertainty Quantification
2024-09-30 | Journal article
Contributors: Ricardo Baptista; Bamdad Hosseini; Nikola B. Kovachki; Youssef M. Marzouk
Source: check_circle
Crossref

Physics-Informed Neural Operator for Learning Partial Differential Equations

ACM / IMS Journal of Data Science
2024-09-30 | Journal article
Contributors: Zongyi Li; Hongkai Zheng; Nikola Kovachki; David Jin; Haoxuan Chen; Burigede Liu; Kamyar Azizzadenesheli; Anima Anandkumar
Source: check_circle
Crossref

Learning Homogenization for Elliptic Operators

SIAM Journal on Numerical Analysis
2024-08-31 | Journal article
Contributors: Kaushik Bhattacharya; Nikola B. Kovachki; Aakila Rajan; Andrew M. Stuart; Margaret Trautner
Source: check_circle
Crossref

Neural Operator: Learning Maps Between Function Spaces With Applications to PDEs

Journal of Machine Learning
2023 | Journal article
Contributors: Kovachki, Nikola B; Li, Zongyi; Liu, Burigede; Azizzadenesheli, Kamyar; Bhattacharya, Kaushik; Stuart, Andrew M; Anandkumar, Anima
Source: Self-asserted source
Nikola Kovachki

Score-based Diffusion Models in Function Space

CoRR
2023 | Journal article
Contributors: Lim, Jae H; Kovachki, Nikola B; Baptista, Ricardo; Beckham, Christopher; Azizzadenesheli, Kamyar; Kossaifi, Jean; Voleti, Vikram; Song, Jiaming; Kreis, Karsten; Kautz, Jan et al.
Source: Self-asserted source
Nikola Kovachki

Tipping Point Forecasting in Non-Stationary Dynamics on Function Spaces

CoRR
2023 | Journal article
Contributors: Liu-Schiaffini, Miguel; Singer, Clare E; Kovachki, Nikola B; Schneider, Tapio; Azizzadenesheli, Kamyar; Anandkumar, Anima
Source: Self-asserted source
Nikola Kovachki

Convergence Rates for Learning Linear Operators from Noisy Data

SIAM/ASA Journal on Uncertainty Quantification
2023-06-30 | Journal article
Contributors: Maarten V. de Hoop; Nikola B. Kovachki; Nicholas H. Nelsen; Andrew M. Stuart
Source: check_circle
Crossref

Learning Dissipative Dynamics in Chaotic Systems

Advances in Neural Information Processing Systems (NeurIPS)
2022 | Conference paper
Contributors: Li, Zongyi; Kovachki, Nikola B; Azizzadenesheli, Kamyar; Liu, Burigede; Bhattacharya, Kaushik; Stuart, Andrew M; Anandkumar, Anima
Source: Self-asserted source
Nikola Kovachki

Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization

Mechanics of Materials
2022-02 | Journal article
Contributors: Nikola Kovachki; Burigede Liu; Xingsheng Sun; Hao Zhou; Kaushik Bhattacharya; Michael Ortiz; Andrew Stuart
Source: check_circle
Crossref

A learning-based multiscale method and its application to inelastic impact problems

Journal of the Mechanics and Physics of Solids
2022-01 | Journal article
Contributors: Burigede Liu; Nikola Kovachki; Zongyi Li; Kamyar Azizzadenesheli; Anima Anandkumar; Andrew M. Stuart; Kaushik Bhattacharya
Source: check_circle
Crossref

Continuous Time Analysis of Momentum Methods

Journal of Machine Learning Research
2021 | Journal article
Contributors: Kovachki, Nikola B; Stuart, Andrew M
Source: Self-asserted source
Nikola Kovachki

Fourier Neural Operator for Parametric Partial Differential Equations

International Conference on Learning Representations (ICLR)
2021 | Conference paper
Contributors: Li, Zongyi; Kovachki, Nikola B; Azizzadenesheli, Kamyar; Liu, Burigede; Bhattacharya, Kaushik; Stuart, Andrew M; Anandkumar, Anima
Source: Self-asserted source
Nikola Kovachki

Model Reduction and Neural Networks for Parametric PDEs

The SMAI journal of computational mathematics
2021 | Journal article
Contributors: Kaushik Bhattacharya; Bamdad Hosseini; Nikola B Kovachki; Andrew M Stuart
Source: Self-asserted source
Nikola Kovachki

On Universal Approximation and Error Bounds for Fourier Neural Operators

Journal of Machine Learning Research
2021 | Journal article
Contributors: Kovachki, Nikola B; Lanthaler, Samuel; Mishra, Siddhartha
Source: Self-asserted source
Nikola Kovachki

Multipole Graph Neural Operator for Parametric Partial Differential Equations

Advances in Neural Information Processing Systems (NeurIPS)
2020 | Conference paper
Contributors: Li, Zongyi; Kovachki, Nikola B; Azizzadenesheli, Kamyar; Liu, Burigede; Stuart, Andrew M; Bhattacharya, Kaushik; Anandkumar, Anima
Source: Self-asserted source
Nikola Kovachki

Neural Operator: Graph Kernel Network for Partial Differential Equations

CoRR
2020 | Journal article
Contributors: Li, Zongyi; Kovachki, Nikola B; Azizzadenesheli, Kamyar; Liu, Burigede; Stuart, Andrew M; Bhattacharya, Kaushik; Anandkumar, Anima
Source: Self-asserted source
Nikola Kovachki

Regression Clustering for Improved Accuracy and Training Costs with Molecular-Orbital-Based Machine Learning

Journal of Chemical Theory and Computation
2019 | Journal article
Contributors: Cheng, Lixue; Kovachki, Nikola B; Welborn, Matthew; Miller, Thomas F
Source: Self-asserted source
Nikola Kovachki

Ensemble Kalman inversion: a derivative-free technique for machine learning tasks

Inverse Problems
2019-09-01 | Journal article
Contributors: Nikola B Kovachki; Andrew M Stuart
Source: check_circle
Crossref