variational-methods

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PR-Smoother: Simulator-Preserving Non-Gaussian Smoothing for Data Assimilation

arXiv cs.LG ↗ · 2026-09-24 Cached

PR-Smoother is an amortized smoother for data assimilation that preserves prescribed simulators by learning future-conditioned corrections to capture non-Gaussian posteriors. It scales to high-dimensional systems and supports joint state, parameter, and sensor-bias inference from observations alone.

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#variational-methods

Separable Neural Architectures as Physical World Models: from Mathematical Theory to Applications

arXiv cs.LG ↗ · 2026-06-16 Cached

This paper introduces Separable Neural Architecture (SNA), a function class that combines neural approximation with tensor decomposition to efficiently solve parametric PDEs. The method achieves dramatic speedups (up to 150,000×) over traditional grid-based methods in engineering applications like laser powder bed fusion and material property prediction.

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#variational-methods

Information-Theoretic Decomposition for Multimodal Interaction Learning

arXiv cs.LG ↗ · 2026-06-11 Cached

This paper presents an information-theoretic analysis of multimodal learning, revealing the need to capture sample-specific interactions, and proposes DMIL, a paradigm that explicitly models and learns from these interactions via variational decomposition and fine-tuning, achieving superior performance.

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