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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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2 results for “PONITA”

Roto-Translation Invariant Metrics on Position-Orientation Spacemath.DG

A new metric mav offers a practical alternative to costly Riemannian distance.

problem Efficiently compute Riemannian distance on SE(3) invariant metrics.

method Propose mav distance, defined as Riemannian length of a curve.

result Mav distance offers a trainable invariant for geometric deep learning.

Riemannian metrics SE(3) invariance geometric deep learning PONITA molecular properties

2025-04-04abs ↗pdf ↗

Universal Collection of Euclidean Invariants between Pairs of Position-Orientationsmath.DG

A universal collection of 4 invariants improves neural network accuracy for molecular dynamics.

problem Improving accuracy of neural networks in molecular dynamics.

method Developed a universal collection of 4 smooth scalar invariants on M(3) x M(3) and evaluated their effectiveness in a PONITA neural network architecture.

result Using a universal collection of invariants significantly improves neural network accuracy.

neural networks molecular dynamics equivariant invariants universal

2025-04-04abs ↗pdf ↗