Kovachki, Nikola B.

1. Model Reduction and Neural Networks for Parametric PDEs
   2020/05/07 by Bhattacharya, Kaushik, Hosseini, Bamdad, Kovachki, Nikola B. +1 · 32 citations
   #60H15 #60H30 #62M45 #65N75 #68T05 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA)
2. Operator Learning: Algorithms and Analysis
   2024/02/24 by Kovachki, Nikola B., Lanthaler, Samuel, Stuart, Andrew M. · 23 citations
   #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
3. Score-based Diffusion Models in Function Space
   2023/02/14 by Jae Hyun Lim, Lim, Jae Hyun, Nikola Kovachki +23 · 14 citations
   Biochemistry, Genetics and Molecular Biology · Computer Science · #46B09 (Primary) #60J22 (Secondary) #Cell Image Analysis Techniques #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Gaussian Processes and Bayesian Inference #Generative Adversarial Networks and Image Synthesis #I.2.6 #J.2 #Machine Learning (cs.LG) #Machine Learning (stat.ML)
4. Conditional Sampling with Monotone GANs: from Generative Models to Likelihood-Free Inference
   2020/06/11 by Baptista, Ricardo, Hosseini, Bamdad, Kovachki, Nikola B. +1 · 8 citations
   #Computation (stat.CO) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
5. Data Complexity Estimates for Operator Learning
   2024/05/25 by Nikola Kovachki, Kovachki, Nikola B., Samuel Lanthaler +3 · 6 citations
   Computer Science · Engineering · #Anomaly Detection Techniques and Applications #FOS: Computer and information sciences #FOS: Mathematics #Fault Detection and Control Systems #Machine Learning (cs.LG) #Machine Learning and Data Classification #Numerical Analysis (math.NA)
6. Memorization and Regularization in Generative Diffusion Models
   2025/01/27 by Baptista, Ricardo, Dasgupta, Agnimitra, Kovachki, Nikola B. +2 · 6 citations
   #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC)
7. Continuum Attention for Neural Operators
   2024/06/10 by Calvello, Edoardo, Kovachki, Nikola B., Levine, Matthew E. +1 · 2 citations
   #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)