Multidimensional Asymptotic Quantization Theory with rth Power Distortion Measures

Bucklew, Wise1982Vector quantization and Voronoi theory

doi:10.1109/TIT.1982.1056486

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

Cited by

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

Relevant to

Claims this source bears on without being cited in their proofs.

Normalized trace equals Fisher-whitened k-meansTRACE-WHITENED-KMEANS