Generative modeling

PhylaFlow: Hybrid flow matching in phylogenetic tree space

PhylaFlow: Hybrid flow matching in phylogenetic tree space

PhylaFlow is a hybrid flow-matching framework that navigates Billera–Holmes–Vogtmann (BHV) tree space to accelerate Bayesian phylogenetic inference. By learning geodesic paths from random trees to posterior samples, PhylaFlow efficiently initializes MCMC chains, drastically reducing the "burn-in" time. A PhylaFlow-MCMC variant, which guides MrBayes move acceptance, significantly outperforms traditional methods and even existing machine learning baselines for posterior sampling, achieving better results within the same computational budget. The work also explores conditioning on sequence embeddings, aiming for a future phylogenetics foundation model capable of zero-shot inference.

Binomial Flows: Denoising and flow matching for discrete ordinal data

Binomial Flows: Denoising and flow matching for discrete ordinal data

Shenfeld presents binomial flows, a discrete analogue of Tweedie-based diffusion for ordinal, non-negative integer data. The method pairs binomial thinning for noising with a Poisson-type continuous-time Markov chain whose rate is expressed through a learned denoiser, enabling training with MSE, sampling, and exact likelihood estimation. Results include the best reported CIFAR-10 FID among ordinal discrete diffusion models, obtained by adapting the EDM framework.