3 papers
cs.CE2026
Bayesian Variational System Identification with Weak-Form Residual Likelihoods
Chengyang Huang, Siddhartha Srivastava, Krishna Garikipati +1
We consider system identification for discovering parameterized operators in governing partial differential equations (PDEs) from noisy spatiotemporal data. Building on variational…
stat.ML2026
Amortized Variational Inference for Joint Posterior and Predictive Distributions in Bayesian Uncertainty Quantification
Nan Feng, Xun Huan
Bayesian predictive inference propagates parameter uncertainty to quantities of interest through the posterior-predictive distribution. In practice, this is typically performed usi…
stat.ML2025
Bifidelity Karhunen-Loève Expansion Surrogate with Active Learning for Random Fields
Aniket Jivani, Cosmin Safta, Beckett Y. Zhou +1
We present a bifidelity Karhunen-Loève expansion (KLE) surrogate model for field-valued quantities of interest (QoIs) under uncertain inputs. The approach combines the spectral ef…