A Geometric Characterization of Fisher Information from Quantized Samples with Applications to Distributed Statistical Estimation

Barnes, Han, Özgür2018Quantization for estimation

doi:10.1109/ALLERTON.2018.8635899 PDF

Barnes, Han & Özgür (2018)

Result: multivariate conditional-score geometry and trace-FI bounds under finite-bit quantization; special geometric optimality results.
Use: closest published multivariate score-space ancestor.

Cited by

Quantized Fisher-information identityFI-QUANT-IDENTITY
Reported versus true retention of a frozen label map under a score error: an exact two-term expansion in the Fisher-whitened score errorSCORE-ERROR-RETENTION-BUDGET
Normalized trace equals Fisher-whitened k-meansTRACE-WHITENED-KMEANS