200 citations · 433 across the 16 of their papers we have counts for
7 papers · 1 filter
Invertible Low-Divergence Coding
Patrick Schulte, Rana Ali Amjad, Thomas Wiegart +1
Several applications in communication, control, and learning require approximating target distributions to within small informational divergence (I-divergence). The additional requ…
Information Rates and Error Exponents for Probabilistic Amplitude Shaping
Rana Ali Amjad
Probabilistic Amplitude Shaping (PAS) is a coded-modulation scheme in which the encoder is a concatenation of a distribution matcher with a systematic Forward Error Correction (FEC…
Hard Clusters Maximize Mutual Information
Bernhard C. Geiger, Rana Ali Amjad
In this paper, we investigate mutual information as a cost function for clustering, and show in which cases hard, i.e., deterministic, clusters are optimal. Using convexity propert…
Informational Divergence and Entropy Rate on Rooted Trees with Probabilities
Georg Böcherer, Rana Ali Amjad
Rooted trees with probabilities are used to analyze properties of a variable length code. A bound is derived on the difference between the entropy rates of the code and a memoryles…
Fixed-to-Variable Length Resolution Coding for Target Distributions
Georg Böcherer, Rana Ali Amjad
The number of random bits required to approximate a target distribution in terms of un-normalized informational divergence is considered. It is shown that for a variable-to-variabl…
Block-to-Block Distribution Matching
Georg Böcherer, Rana Ali Amjad
In this work, binary block-to-block distribution matching is considered. m independent and uniformly distributed bits are mapped to n output bits resembling a target product distri…
Fixed-to-Variable Length Distribution Matching
Rana Ali Amjad, Georg Böcherer
Fixed-to-variable length (f2v) matchers are used to reversibly transform an input sequence of independent and uniformly distributed bits into an output sequence of bits that are (a…