_index.org

Differential Privacy

Last edited: August 8, 2025

diffusion map

Last edited: August 8, 2025

Diffusion Models for Laproscopic Surgeries

Last edited: August 8, 2025

What if we can use diffusion models to generate Laproscopic surgeries to train surgeons?

Problem

Asking dalle to just “generate a Laproscopic surgery” is not going to work. It will give you cartoons.

Approach

  1. text problem formulation: “grasper grasp gallbladder”
  2. encode text into latents
  3. do diffusion with late fusion of latents

Data: Cholec T-45

Weighting

Scoring: Perception Prioritized Weighting + Prioritization for Signal-to-Noise

(Ho et al, 2020)

Text

“[subject] [verb] [object] [surgical phase]”

Digital Origin for Life

Last edited: August 8, 2025

dimension

Last edited: August 8, 2025

The dimension of a vector space is the length of any basis in the vector space. It is denoted as \(\dim V\).

additional information

See also finite-dimensional vector space and infinite-demensional vector space

dimension of subspace is smaller or equal to that of its parent

If we have a finite-dimensional \(V\) and a subspace thereof \(U\), then \(\dim U \leq \dim V\).

Firstly, the every subspace of a finite-dimensional vector space is a finite-dimensional vector space is itself a finite-dimensional vector space. Therefore, it has a finite dimension.