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Articles · Rebeauty Atlas

HUM AI SCI

YI yitalan

Why Moving Points Is Not Enough: Optimal Transport from Monge to Kantorovich

The first time I wrote down Optimal Transport, I thought the problem was about finding a good map.

Jul 07, 2026 · 9 min read · 5 claps #optimal-transport #machine-learning #statistics

Why Moving Points Is Not Enough: Optimal Transport from Monge to Kantorovich

AI HUM

PR Preston Rozwood

Random Bridges vs Diffusion: Faster Sampling via Stochastic Transport

In my diffusion post, we built a tiny DDPM from scratch and used it to turn noise into a 2D checkerboard. It was simple, visual… and it…

Feb 23, 2026 · 5 min read · 4 claps #generative-ai #diffusion-models #pytorch

Random Bridges vs Diffusion: Faster Sampling via Stochastic Transport

HUM AI

FA Farshad Noravesh

Optimal Transport Between Two Graphs

Optimal transport (OT) between two graphs can mean several related but distinct problems depending on what we consider the “objects” being…

Nov 25, 2025 · 2 min read · 1 claps #optimal-transport #graph #machine-learning

HUM AI

FA Farshad Noravesh

Understanding Diffusion Schrödinger Bridge

Let me first review how schrodinger bridge is related to static optimal transport. We factor it as is beautifully shown in the slide of…

Nov 18, 2025 · 2 min read · 1 claps #diffusion-schrödinger #schrödinger-bridge #generative-model

Understanding Diffusion Schrödinger Bridge

FA Farshad Noravesh

Iterative Markovian Fitting

Below is a clear, concise explanation of Iterative Markovian Fitting (IMF) — what it is, why it appears in optimal transport / Schrödinger…

Nov 17, 2025 · 4 min read · 1 claps #iterative #markovian-fitting #schrodinger-bridge

HUM AI

FA Farshad Noravesh

Schrödinger Bridge: Dynamic Version of Entropic OT

Entropy-Regularized Optimal Transport (EOT) and the Schrödinger Bridge (SB) are deeply related, but they come from different viewpoints…

Oct 25, 2025 · 3 min read · 15 claps #schrödinger-bridge #optimal-transport #flowmatching

Schrödinger Bridge: Dynamic Version of Entropic OT

HUM AI SCI

FA Farshad Noravesh

Gaussian Coupling vs Entropic Optimal Transport (Sinkhorn)

Here’s a concise, math-first comparison between the (affine) Gaussian coupling / Gaussian–to–Gaussian OT (the closed-form optimal transport…

Oct 25, 2025 · 2 min read · 1 claps #sinkhorn-distance #optimal-transport #entropic

Gaussian Coupling vs Entropic Optimal Transport (Sinkhorn)

HUM AI

FA Farshad Noravesh

Optimal Transport based Flow Matching

Below is a clear, practical, step-by-step procedure you can follow to implement Optimal Transport (OT)–based Flow Matching for graph…

Oct 24, 2025 · 2 min read · 10 claps #optimal-transport #flowmatching #graph-generation

HUM AI TCH

FA Farshad Noravesh

Seven limitations of Sinkhorn-Knopp Algorithm for Optimal Transport used in Flow Matching

Let’s go through the limitations of using the Sinkhorn–Knopp algorithm for OT in flow matching, both conceptually and practically.

Oct 18, 2025 · 1 min read · 1 claps #sinkhorn-knopp #machine-learning #sinkhorn-distance