pith. sign in

Substitutingt= 1into the above inequality yields: ∥ψ(x0)−ψ(x ′ 0)∥ ≤exp(L v)∥x0 −x ′ 0∥.(21) Let Lψ = exp(Lv)

+ Z t 0 (vs(xs)−v s(x′ s))ds (Integral form of ODE) ≤ ∥x 0 −x ′ 0∥+ Z t 0 ∥vs(xs)−v s(x′ s)∥ds(Triangle inequality) ≤ ∥x 0 −x ′ 0∥+L v Z t 0 ∥xs −x ′ s∥ds(Lipschitz property ofv t) · arXiv 7860.14022

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P-Flow: Proxy-gradient Flows for Linear Inverse Problems

cs.LG · 2026-05-08 · unverdicted · novelty 7.0 · 2 refs

P-Flow stabilizes flow-matching models for inverse problems via proxy gradients and Gaussian spherical projections, avoiding long-chain differentiation while maintaining prior consistency.

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  • P-Flow: Proxy-gradient Flows for Linear Inverse Problems cs.LG · 2026-05-08 · unverdicted · none · ref 43 · 2 links

    P-Flow stabilizes flow-matching models for inverse problems via proxy gradients and Gaussian spherical projections, avoiding long-chain differentiation while maintaining prior consistency.