Daily Arxiv

This page organizes papers related to artificial intelligence published around the world.
This page is summarized using Google Gemini and is operated on a non-profit basis.
The copyright of the paper belongs to the author and the relevant institution. When sharing, simply cite the source.

Y-shaped Generative Flows

Created by
  • Haebom

Author

Arip Asadulaev, Semyon Semenov, Abduragim Shtanchaev, Eric Moulines, Fakhri Karray, Martin Takac

Outline

We introduce a Y-shaped generative flow, which operates by moving probability masses together along a shared path and then branching to a target-specific endpoint. This paper builds on a novel velocity-based objective function with a sublinear exponent (between 0 and 1) that compensates for joint and rapid mass movement. We implement this as a scalable neural ODE training objective, recognizing hierarchical structures, improving distribution metrics compared to robust flow-based baselines, and reaching the goal with fewer integration steps.

Takeaways, Limitations

Takeaways:
The Y-shaped generation flow overcomes the limitations of V-shaped transport by taking into account the shared structure of data.
Encourages joint mass transfer through a new velocity-based objective function and sublinear exponentials.
It has been shown to be effective in achieving its goals by recognizing hierarchical structures, improving distribution metrics, and reducing integration steps on synthetic, image, and biological datasets.
Limitations:
There is no specific mention of Limitations in the paper itself (based on the abstract).
👍