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An information theoretic privacy mechanism design problem for two scenarios is studied where the private data is either hidden or observable. In each scenario, privacy leakage constraints are considered using two different measures. In…

Information Theory · Computer Science 2022-05-11 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

Most existing work focuses on the generalization of KKT for nonsmooth convex optimization problems, but this paper explores a generalized form of Karush-Kuhn-Tucker (KKT) conditions for real continuous optimization problems.

Optimization and Control · Mathematics 2020-04-09 Stanley Yang

Optimality conditions are central to analysis of optimization problems, characterizing necessary criteria for local minima. Formalizing the optimality conditions within the type-theory-based proof assistant Lean4 provides a precise, robust,…

Optimization and Control · Mathematics 2025-03-25 Chenyi Li , Shengyang Xu , Chumin Sun , Li Zhou , Zaiwen Wen

We study the pointwise maximal leakage (PML) envelope of the Gaussian mechanism, which characterizes the smallest information leakage bound that holds with high probability under arbitrary post-processing. For the Gaussian mechanism with a…

Information Theory · Computer Science 2026-01-15 Sara Saeidian

The problem of characterising the zero-error capacity region for multiple access channels even in the noiseless case has remained an open problem for over three decades. Motivated by this challenging question, a recently developed theory of…

Information Theory · Computer Science 2019-10-29 Ghassen Zafzouf , Girish N. Nair , Jamie S. Evans

Quantum information theory is the study of the achievable limits of information processing within quantum mechanics. Many different types of information can be accommodated within quantum mechanics, including classical information, coherent…

Quantum Physics · Physics 2007-05-23 M. A. Nielsen

Most communication channels are subjected to noise. One of the goals of Information Theory is to add redundancy in the transmission of information so that the information is transmitted reliably and the amount of information transmitted…

Information Theory · Computer Science 2018-03-21 David Elkouss , David Pérez-García

We study an information theoretic privacy mechanism design problem for two scenarios where the private data is either observable or hidden. In each scenario, we first consider bounded mutual information as privacy leakage criterion, then we…

Information Theory · Computer Science 2022-12-26 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

How to provide information security while fulfilling ultra reliability and low-latency requirements is one of the major concerns for enabling the next generation of ultra-reliable and low-latency communications service (xURLLC), specially…

Information Theory · Computer Science 2023-03-09 Yao Zhu , Xiaopeng Yuan , Yulin Hu , Rafael F. Schaefer , Anke Schmeink

Quantum capacity gives the fundamental limit of information transmission through a channel. However, evaluating the quantum capacities of a continuous-variable bosonic quantum channel, as well as finding an optimal code to achieve the…

Quantum Physics · Physics 2025-10-03 Adam Taylor , Michael Hanks , Hyukjoon Kwon , M. S. Kim

We consider the problem of estimating an upper bound on the capacity of a memoryless channel with unknown channel law and continuous output alphabet. A novel data-driven algorithm is proposed that exploits the dual representation of…

Information Theory · Computer Science 2024-01-25 Christian Häger , Erik Agrell

In this paper, we aim to minimize the average file transmission delay via bandwidth allocation and cache placement in two-tier heterogeneous networks with limited storage capacity, which consists of cache capacity and buffer capacity. For…

Information Theory · Computer Science 2019-07-19 Zhaohui Yang , Cunhua Pan , Yijin Pan , Yongpeng Wu , Wei Xu , Mohammad Shikh-Bahaei , Ming Chen

Shannon's channel coding theorem characterizes the maximal rate of information that can be reliably transmitted over a communication channel when optimal encoding and decoding strategies are used. In many scenarios, however, practical…

Information Theory · Computer Science 2023-07-06 Jonathan Scarlett , Albert Guillén i Fàbregas , Anelia Somekh-Baruch , Alfonso Martinez

From the perspective of quantum information theory, the effect of Unruh radiation on a two-level accelerated detector can be modeled as a quantum channel. In this work, we employ the tools of channel-position finding to locate Unruh…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Qianqian Liu , Tonghua Liu , Cuihong Wen , Jieci Wang

To realize ultra-reliable low latency communications with high spectral efficiency and security, we investigate a joint optimization problem for downlink communications with multiple users and eavesdroppers in the finite blocklength (FBL)…

Information Theory · Computer Science 2022-08-04 Mintaek Oh , Jeonghun Park , Jinseok Choi

We study privacy guarantees in the framework of pointwise maximal leakage (PML) that satisfy two requirements: they are robust under post-processing and upper bound the failure probability, i.e., the probability that the information leakage…

Cryptography and Security · Computer Science 2026-05-21 Sara Saeidian , Carlos Pinzón , Catuscia Palamidessi

Data publishing under privacy constraints can be achieved with mechanisms that add randomness to data points when released to an untrusted party, thereby decreasing the data's utility. In this paper, we analyze this privacy-utility tradeoff…

Information Theory · Computer Science 2024-08-28 Leonhard Grosse , Sara Saeidian , Tobias Oechtering

The information leakage of a cryptographic implementation with a given degree of protection is evaluated in a typical situation when the signal-to-noise ratio is small. This is solved by expanding Kullback-Leibler divergence, entropy, and…

Information Theory · Computer Science 2021-02-05 Olivier Rioul , Wei Cheng , Sylvain Guilley

The problem of capacity achieving (optimal) input probability measures has been widely investigated for several channel models with constrained inputs. So far, no outstanding generalizations have been derived. This paper does a forward step…

Information Theory · Computer Science 2014-11-11 Vincenzo Zambianchi , Enrico Paolini , Davide Dardari

In the worst-case distributed source coding (DSC) problem of [1], the smaller cardinality of the support-set describing the correlation in informant data, may neither imply that fewer informant bits are required nor that fewer informants…

Information Theory · Computer Science 2009-07-13 Samar Agnihotri , Rajesh Venkatachalapathy
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