Defines diffusion processes on implicit data manifolds via proximity-graph approximations to the infinitesimal generator and carré-du-champ operator, proves convergence in law to the continuous manifold process, and provides an Euler-Maruyama integrator validated on synthetic and MNIST manifolds.
Stochastic differential equations
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Derives discretization-free algebraic conditions for second-moment stability boundaries of linear time-invariant stochastic DDEs via reduction of a correlation-function boundary-value problem.
ZeNO frames noise optimization as a path-integral control problem solvable from zeroth-order reward evaluations, connecting to implicit Langevin dynamics for reward-tilted distributions.
citing papers explorer
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Diffusion Processes on Implicit Manifolds
Defines diffusion processes on implicit data manifolds via proximity-graph approximations to the infinitesimal generator and carré-du-champ operator, proves convergence in law to the continuous manifold process, and provides an Euler-Maruyama integrator validated on synthetic and MNIST manifolds.
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Algebraic conditions for second-moment stability boundaries of linear, time-invariant stochastic delay-differential equations
Derives discretization-free algebraic conditions for second-moment stability boundaries of linear time-invariant stochastic DDEs via reduction of a correlation-function boundary-value problem.
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Gradient-Free Noise Optimization for Reward Alignment in Generative Models
ZeNO frames noise optimization as a path-integral control problem solvable from zeroth-order reward evaluations, connecting to implicit Langevin dynamics for reward-tilted distributions.