2 papers
cs.SC2025
Differentiation methods as a systematic uncertainty source in equation discovery
Maria Khilchuk, Ilya Markov, Alexander Hvatov
In differential equation discovery algorithms, numerical differentiation is usually a fixed preliminary step. Current methods improve robustness with data subsampling and sparsity…
cs.LG2025
Towards Universal Neural Operators through Multiphysics Pretraining
Mikhail Masliaev, Dmitry Gusarov, Ilya Markov +1
Although neural operators are widely used in data-driven physical simulations, their training remains computationally expensive. Recent advances address this issue via downstream l…