Author

R. Sarkar

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#machine learning Preprint Aug 2026

Beyond Pairwise Graphs in Science: Hypergraph Adaptive Wavelet Operators for Parametric PDEs

The Hypergraph Adaptive waveLet Operator (HALO), which lifts the domain to a hypergraph and learns in its spectral wavelet domain, achieves best or near-best accuracy among frequency-, transformer-, DeepONet-, state-space-, and graph-based baselines and sustains stable multi-step rollouts.

R. Sarkar, Venkataramana Runkana, Souvik Chakraborty · 0 citations

#artificial intelligence Preprint Aug 2026

See, Hypothesize, Validate: Multimodal Agentic Framework for Discovering Governing PDEs

MAGE is introduced, an agentic framework that organizes PDE discovery as a confidence governed hypothesis validation loop inspired by the scientific cycle of observation, hypothesis, and falsification, and supports further study of structured agentic reasoning for library-free governing-law discovery.

Sarang Manoj Pekhale, Amartya Roy, R. Sarkar et al. · 0 citations