Asymptotically Optimal Block Quantization

Gersho1979Vector quantization and Voronoi theory

doi:10.1109/TIT.1979.1056067

Zador, Gersho, Bucklew–Wise, and task-aware high-rate theory

Transfer to `OPEN-D-HIGH-RATE`: these papers supply the expected $K^{-2/d}$ -type machinery, density/shape separation, and a task-aware precedent. What does not transfer: none treats the nonlinear logdet of retained conditional-score Fisher information or the profiled $D_s$ criterion, so the ScoreQuant high-rate claim remains open.

Zador and Gersho establish the classical high-rate scaling and geometric templates for fixed additive distortion; Bucklew & Wise give a rigorous multidimensional $r$ -power distortion limit. Gupta & Hero show that an inference objective—binary-detection loss—can admit high-rate vector- quantization calculus and an optimal point density.

Bucklew–Wise DOI: https://doi.org/10.1109/TIT.1982.1056486
Gupta–Hero DOI: https://doi.org/10.1109/TIT.2003.814482

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High-rate D quantization asymptoticsOPEN-D-HIGH-RATE