Trees to Flows and Back: Unifying Decision Trees and Diffusion Models(arxiv.org)
52 分 | 作者 rsn243 1天前
5 条评论
- niksmather 1天前Apologies if I didn't understand the paper, but why do you want to apply diffusion models to tabular datasets in the first place?
Do we think they'll be better than decision trees? Is there some tabular problem that can be handled by diffusion but not trees?
- semessier 1天前this lacks the math for any bold claims
- henrydark 1天前Is the code available somewhere?
- rsn243 1天前Decision trees and diffusion models are ostensibly disparate model classes, one discrete and hierarchical, the other continuous and dynamic. This work unifies the two by establishing a crisp mathematical correspondence between hierarchical decision trees and diffusion processes in appropriate limiting regimes. Our unification reveals a shared optimization principle: \emph{Global Trajectory Score Matching (GTSM)}, for which gradient boosting (in an idealized version) is asymptotically optimal. We underscore the conceptual value of our work through two key practical instantiations: \treeflow, which achieves competitive generation quality on tabular data with higher fidelity and a 2\times computational speedup, and \dsmtree, a novel distillation method that transfers hierarchical decision logic into neural networks, matching teacher performance within 2\% on many benchmarks.
- Jaxan 1天前You could at least fix the latex commands when copy pasting the abstract. ;-)
- gorold 1天前Figure 1 definitely cleared up any misunderstandings I had about the paper
Second, yes, they think some tabular data will be fit better by their combination of trees with diffusion than just with trees.