arXiv Machine Learning By Mohsen Amidzadeh, Lauri Viitasaari, Mario Di Francesco

Non-Parametric Optimization for Scalable Learning in Stochastic Decision Problems

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The paper introduces a stochastic variational framework using Malliavin calculus to derive non‑parametric optimality conditions for time‑varying stochastic optimization problems. It proposes the Stochastic Path Follower (SPF), a deep‑learning algorithm that remains scalable regardless of parameter‑space dimensionality. Experiments on least‑squares recovery and logistic regression under distribution drift demonstrate that SPF outperforms existing learning‑based and gradient‑based methods in both performance and scalability.

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