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Generative Conditional Missing Imputation Networks

arXiv:2601.00517v1 Announce Type: cross Abstract: In this study, we introduce a sophisticated generative conditional strategy designed to impute missing values within datasets, an area of considerable importance in statistical analysis. Specifically, we initially elucidate the theoretical underpinnings of the Generative…

Support Vector Machine Kernels as Quantum Propagators

arXiv:2502.11153v3 Announce Type: replace-cross Abstract: Selecting optimal kernels for regression in physical systems remains a challenge, often relying on trial-and-error with standard functions. In this work, we establish a mathematical correspondence between support vector machine kernels and quantum propagators, demonstrating…

Reinforcement Learning with Function Approximation for Non-Markov Processes

arXiv:2601.00151v1 Announce Type: new Abstract: We study reinforcement learning methods with linear function approximation under non-Markov state and cost processes. We first consider the policy evaluation method and show that the algorithm converges under suitable ergodicity conditions on the underlying…

Information-Theoretic Quality Metric of Low-Dimensional Embeddings

arXiv:2512.23981v2 Announce Type: replace Abstract: In this work we study the quality of low-dimensional embeddings from an explicitly information-theoretic perspective. We begin by noting that classical evaluation metrics such as stress, rank-based neighborhood criteria, or Local Procrustes quantify distortions in…

Exploration in the Limit

arXiv:2601.00084v1 Announce Type: new Abstract: In fixed-confidence best arm identification (BAI), the objective is to quickly identify the optimal option while controlling the probability of error below a desired threshold. Despite the plethora of BAI algorithms, existing methods typically fall…