Uncertainty
A Compositional Atlas for Algebraic Circuits
The key feature of circuits is that they enable one to precisely characterize tractability conditions (structural properties of the circuit) under which a given inference query can be computed exactly and efficiently. One can then enforce these circuit properties when compiling or learning a model to enable tractable inference.
Diffusion Twigs with Loop Guidance for Conditional Graph Generation
We introduce a novel score-based diffusion framework named Twigs that incorporates multiple co-evolving flows for enriching conditional generation tasks. Specifically, a central or trunk diffusion process is associated with a primary variable (e.g., graph structure), and additional offshoot or stem processes are dedicated