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We determine the capacity region of the secure multiplex coding with a common message, and evaluate the mutual information and the equivocation rate of a collection of secret messages to the second receiver (eavesdropper), which were not…

Information Theory · Computer Science 2011-11-09 Ryutaroh Matsumoto , Masahito Hayashi

The Information Bottleneck (IB) method (\cite{tishby2000information}) provides an insightful and principled approach for balancing compression and prediction for representation learning. The IB objective $I(X;Z)-\beta I(Y;Z)$ employs a…

Machine Learning · Computer Science 2019-10-23 Tailin Wu , Ian Fischer , Isaac L. Chuang , Max Tegmark

Inspired by Aumann's agreement theorem, Scott Aaronson studied the amount of communication necessary for two Bayesian experts to approximately agree on the expectation of a random variable. Aaronson showed that, remarkably, the number of…

Computer Science and Game Theory · Computer Science 2021-11-08 Rafael Frongillo , Eric Neyman , Bo Waggoner

We consider a source-destination pair that can only communicate through an untrusted intermediate relay node. The intermediate node is willing to employ a designated relaying scheme to facilitate reliable communication between the source…

Information Theory · Computer Science 2009-10-16 Xiang He , Aylin Yener

Ensuring the correctness of distributed system implementations remains a challenging and largely unaddressed problem. In this paper we present a protocol that can be used to certify the safety of consensus implementations. Our proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-11 Aurojit Panda

One-shot information theory addresses scenarios in source coding and channel coding where the signal blocklength is assumed to be 1. In this case, each source and channel can be used only once, and the sources and channels are arbitrary and…

Information Theory · Computer Science 2025-11-26 Yanxiao Liu

Large scale cryptocurrencies require the participation of millions of participants and support economic activity of billions of dollars, which has led to new lines of work in binary Byzantine Agreement (BBA) and consensus. The new work aims…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Thaddeus Dryja , Quanquan C. Liu , Neha Narula

Belief propagation and its variants are popular methods for approximate inference, but their running time and even their convergence depend greatly on the schedule used to send the messages. Recently, dynamic update schedules have been…

Machine Learning · Computer Science 2012-06-26 Charles Sutton , Andrew McCallum

We study channel simulation under common randomness assistance in the finite-blocklength regime and identify the smooth channel max-information as a linear program one-shot converse on the minimal simulation cost for fixed error tolerance.…

Information Theory · Computer Science 2024-10-10 Michael X. Cao , Navneeth Ramakrishnan , Mario Berta , Marco Tomamichel

Matching is one of the most fundamental and broadly applicable problems across many domains. In these diverse real-world applications, there is often a degree of uncertainty in the input which has led to the study of stochastic matching…

Data Structures and Algorithms · Computer Science 2026-04-21 Brian Brubach , Nathaniel Grammel , Will Ma , Calum MacRury , Aravind Srinivasan

We consider block codes for degraded wiretap channels in which the legitimate receiver decodes the message with an asymptotic error probability no larger than $\varepsilon$ but the leakage to the eavesdropper vanishes. For discrete…

Information Theory · Computer Science 2014-09-29 Vincent Y. F. Tan , Matthieu R. Bloch

We provide a new protocol for Validated Asynchronous Byzantine Agreement. Validated (multi-valued) Asynchronous Byzantine Agreement is a key building block in constructing Atomic Broadcast and fault-tolerant state machine replication in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Ittai Abraham , Dahlia Malkhi , Alexander Spiegelman

This paper investigates the maximal secret communication rate over a wiretap channel subject to reliability and secrecy constraints at a given blocklength. New achievability and converse bounds are derived, which are uniformly tighter than…

Information Theory · Computer Science 2017-06-14 Wei Yang , Rafael F. Schaefer , H. Vincent Poor

Today, the vast majority of the world's digital information is represented using the fundamental assumption, introduced by Claude Shannon in 1948, that ``...the semantic aspects of communication are irrelevant to the engineering problem (of…

Information Theory · Computer Science 2025-09-16 Luis A. Lastras , Barry Trager , Jonathan Lenchner , Wojtek Szpankowski , Chai Wah Wu , Mark Squillante , Ron Fagin , Alex Gray

In this paper, we design the first computationally efficient codes for simultaneously reliable and covert communication over Binary Symmetric Channels (BSCs). Our setting is as follows: a transmitter Alice wishes to potentially reliably…

Information Theory · Computer Science 2018-06-12 Qiaosheng Zhang , Mayank Bakshi , Sidharth Jaggi

Two-stage robust optimization is a fundamental paradigm for modeling and solving optimization problems with uncertain parameters. A now classical method within this paradigm is finite adaptability, introduced by Bertsimas and Caramanis…

Optimization and Control · Mathematics 2025-03-13 Safia Kedad-Sidhoum , Anton Medvedev , Frédéric Meunier

An authenticated encryption scheme allows messages to be encrypted and authenticated simultaneously. In 2003, Ma and Chen proposed such a scheme with public verifiability. That is, in their scheme the receiver can efficiently prove to a…

Cryptography and Security · Computer Science 2007-05-23 Guilin Wang , Feng Bao , Changshe Ma , Kefei Chen

We address the problem of reliable data transmission within a finite time horizon $T$ over a binary erasure channel with unknown erasure probability. We consider a feedback model wherein the transmitter can query the receiver infrequently…

Information Theory · Computer Science 2026-05-11 Haricharan Balasundaram , Krishna Jagannathan

By Solovay's celebrated completeness result on formal provability we know that the provability logic $\mathrm GL$ describes exactly all provable structural properties for any sound and strong enough arithmetical theory with a decidable…

Logic · Mathematics 2021-07-01 Joost J. Joosten

Results from the communication complexity literature have demonstrated that stable matching requires communication: one cannot find or verify a stable match without having access to essentially all of the ordinal preference information held…

Theoretical Economics · Economics 2022-12-09 Naveen Durvasula