pith. sign in

B Continuous-time Twirled Petz Map Thetwirled Petz mapis defined as TN,ρ (σ) = Z ∞ −∞ f(θ)ρ 1−iθ 2 N † h N(ρ) −1+iθ 2 σN(ρ) −1−iθ 2 i ρ 1+iθ 2 ,(S75) wheref(θ) = π 2(cosh(πθ)+1)

Derivative ofP N,ρ Now we can expandP N,ρ (σ)into PN,ρ (σ) =ρ 1 2 N(ρ) − 1 2 σN(ρ) − 1 2 +ϵL † N(ρ) − 1 2 σN(ρ) − 1 2 +O(ϵ 2) ρ 1 2 =ρ 1 2 ρ− 1 2 −ϵρ − 1 2 Lρ1/2 1 2 L(ρ) ρ− 1 2 +O

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Local Diffusion Models and Phases of Data Distributions

cs.LG · 2025-08-08 · unverdicted · novelty 6.0

The paper introduces a phase framework for data distributions connected by local denoisers and demonstrates that reverse diffusion consists of trivial and data phases separated by a transition where local score functions must fail, tied to spatial Markovianity.

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  • Local Diffusion Models and Phases of Data Distributions cs.LG · 2025-08-08 · unverdicted · none · ref 57

    The paper introduces a phase framework for data distributions connected by local denoisers and demonstrates that reverse diffusion consists of trivial and data phases separated by a transition where local score functions must fail, tied to spatial Markovianity.