Gray–Wyner and mutual information regions for doubly symmetric binary sources and Gaussian sources
L Yu - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
Nonconvex optimization plays a key role in multi-user information theory and related fields,
but it is usually difficult to solve. The rate region of the Gray–Wyner source coding system (or …
but it is usually difficult to solve. The rate region of the Gray–Wyner source coding system (or …
Stability of Bernstein's theorem and soft doubling for vector Gaussian channels
MM Mahvari, G Kramer - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
The stability of Bernstein's characterization of Gaussian distributions is extended to vectors
by utilizing characteristic functions. Stability is used to develop a soft doubling argument that …
by utilizing characteristic functions. Stability is used to develop a soft doubling argument that …
A trust region-type normal map-based semismooth Newton method for nonsmooth nonconvex composite optimization
W Ouyang, A Milzarek - Mathematical Programming, 2024 - Springer
We propose a novel trust region method for solving a class of nonsmooth, nonconvex
composite-type optimization problems. The approach embeds inexact semismooth Newton …
composite-type optimization problems. The approach embeds inexact semismooth Newton …
A globally convergent difference-of-convex algorithmic framework and application to log-determinant optimization problems
The difference-of-convex algorithm (DCA) is a conceptually simple method for the
minimization of (possibly) nonconvex functions that are expressed as the difference of two …
minimization of (possibly) nonconvex functions that are expressed as the difference of two …
New Proofs of Gaussian Extremal Inequalities With Applications
The conventional enhancement-and-perturbation approach to establishing Gaussian
extremal inequalities is refined via a novel monotone path argument in the product …
extremal inequalities is refined via a novel monotone path argument in the product …
Optimality of the Proper Gaussian Signal in Complex MIMO Wiretap Channels
The multiple-input multiple-output (MIMO) wiretap channel (WTC) serves as a fundamental
model for exploring information-theoretic secrecy in wireless communication systems …
model for exploring information-theoretic secrecy in wireless communication systems …
Blahut-Arimoto Algorithm for Computing Capacity Region of Gaussian Vector Broadcast Channels
We design an algorithm from the perspective of information theory to calculate the capacity
region of the Gaussian vector broadcast channel with private messages. For a continuous …
region of the Gaussian vector broadcast channel with private messages. For a continuous …