Paris Perdikaris

CFO: Learning Continuous-Time PDE Dynamics via Flow-Matched Neural Operators

Revisiting Conditional Whitney Forms: From Structure Preservation to Physics Recovery

Deep Learning Alternatives Of The Kolmogorov Superposition Theorem

Gradient Alignment in Physics-informed Neural Networks: A Second-Order Optimization Perspective

CViT: Continuous Vision Transformer for Operator Learning

SCORE NEURAL OPERATOR: A GENERATIVE MODEL FOR LEARNING AND GENERALIZING ACROSS MULTIPLE PROBABILITY DISTRIBUTIONS