4 papers
Chi-Squared Geometry for Robust Finite-Blocklength Information and Dispersion Analysis
Hassan Tavakoli, Thinh Nguyen, Bella Bose
We develop a column-wise chi-squared geometry for discrete memoryless channels (DMCs) yielding tight, logarithm-free bounds on mutual information, channel dispersion, and finite-bl…
Combinatorial Capacity Bounds for the -ary Deletion Channel
Hassan Tavakoli, Thinh Nguyen, Bella Bose
We study the \(q\)-ary deletion channel via the pattern-count scalar \(N_n(x,y)\), the number of deletion subsets mapping \(x\inΣ_q^n\) to \(y\inΣ_q^k\), which factorizes the trans…
Universal Rate-Distortion-Classification Representations for Lossy Compression
Nam Nguyen, Thuan Nguyen, Thinh Nguyen +1
In lossy compression, Wang et al. [1] recently introduced the rate-distortion-perception-classification function, which supports multi-task learning by jointly optimizing perceptua…
A Theory of Universal Rate-Distortion-Classification Representations for Lossy Compression
Nam Nguyen, Thinh Nguyen, Bella Bose
In lossy compression, Blau and Michaeli [5] introduced the information rate-distortion-perception (RDP) function, extending traditional rate-distortion theory by incorporating perc…