Blog & Talks

Interactive write-ups from my talks and research notes.

New · DyNoSeD & BPPB seminar

Discovering dynamics from snapshots

Published research explained · October 8, 2026

How can unordered measurements constrain a rule of motion? An interactive example, the intuition behind the Fokker–Planck approach, and what DyNoSeD reveals about parameter ambiguity. Based on our published paper and my October 2 BPPB talk.

Read the explainer & try the example →

New · Research notes

Why stable generation can have an arrow of time

The intuition & proof · October 8, 2026

Why replaying a trajectory backward differs from generating it stably. A guide to the geometric obstruction, from connected unstable leaves and disconnected stable fibers to an entropy contradiction, with a schematic and expandable technical details.

Read the explanation →

Attention as Energy-Landscape Hopping

Santa Fe Institute · Part II of the talk · May 2026

A self-contained derivation showing that single-head self-attention is exactly one step of the Concave–Convex Procedure (CCCP) on a Gaussian-mixture energy landscape — geometrically, a "hop" along the surface normal followed by a fixed linear readout. Includes the tanh and linear kernel variants and a live interactive demo.

Read the write-up & open the demo →