Archives AI News

Frame-based Equivariant Diffusion Models for 3D Molecular Generation

arXiv:2509.19506v1 Announce Type: new Abstract: Recent methods for molecular generation face a trade-off: they either enforce strict equivariance with costly architectures or relax it to gain scalability and flexibility. We propose a frame-based diffusion paradigm that achieves deterministic E(3)-equivariance while…

Diffusion and Flow-based Copulas: Forgetting and Remembering Dependencies

arXiv:2509.19707v1 Announce Type: cross Abstract: Copulas are a fundamental tool for modelling multivariate dependencies in data, forming the method of choice in diverse fields and applications. However, the adoption of existing models for multimodal and high-dimensional dependencies is hindered by…

Metriplectic Conditional Flow Matching for Dissipative Dynamics

arXiv:2509.19526v1 Announce Type: new Abstract: Metriplectic conditional flow matching (MCFM) learns dissipative dynamics without violating first principles. Neural surrogates often inject energy and destabilize long-horizon rollouts; MCFM instead builds the conservative-dissipative split into both the vector field and a structure…

Error Propagation in Dynamic Programming: From Stochastic Control to Option Pricing

arXiv:2509.20239v1 Announce Type: cross Abstract: This paper investigates theoretical and methodological foundations for stochastic optimal control (SOC) in discrete time. We start formulating the control problem in a general dynamic programming framework, introducing the mathematical structure needed for a detailed…