Archives AI News

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…

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…

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…

Fair Clustering with Minimum Representation Constraints

arXiv:2409.02963v2 Announce Type: replace-cross Abstract: Clustering is a well-studied unsupervised learning task that aims to partition data points into a number of clusters. In many applications, these clusters correspond to real-world constructs (e.g., electoral districts, playlists, TV channels), where a…

THINNs: Thermodynamically Informed Neural Networks

arXiv:2509.19467v1 Announce Type: new Abstract: Physics-Informed Neural Networks (PINNs) are a class of deep learning models aiming to approximate solutions of PDEs by training neural networks to minimize the residual of the equation. Focusing on non-equilibrium fluctuating systems, we propose…