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We consider distributed computations between two parties carried out over a noisy channel that may erase messages. Following a noise model proposed by Dani et al. (2018), the noise level observed by the parties during the computation in our…

Data Structures and Algorithms · Computer Science 2019-09-17 Ran Gelles , Siddharth Iyer

Two parties observing correlated data seek to exchange their data using interactive communication. How many bits must they communicate? We propose a new interactive protocol for data exchange which increases the communication size in steps…

Information Theory · Computer Science 2017-11-15 Himanshu Tyagi , Pramod Viswanath , Shun Watanabe

Large-scale quantum computation will only be achieved if experimentally implementable quantum error correction procedures are devised that can tolerate experimentally achievable error rates. We describe a quantum error correction procedure…

Quantum Physics · Physics 2011-02-22 David S. Wang , Austin G. Fowler , Lloyd C. L. Hollenberg

The input to the stochastic orienteering problem consists of a budget $B$ and metric $(V,d)$ where each vertex $v$ has a job with deterministic reward and random processing time (drawn from a known distribution). The processing times are…

Data Structures and Algorithms · Computer Science 2014-05-12 Nikhil Bansal , Viswanath Nagarajan

We consider the problem of implementing distributed protocols, despite adversarial channel errors, on synchronous-messaging networks with arbitrary topology. In our first result we show that any $n$-party $T$-round protocol on an undirected…

Data Structures and Algorithms · Computer Science 2015-04-30 William M. Hoza , Leonard J. Schulman

We study the problem of sorting under incomplete information, when queries are used to resolve uncertainties. Each of $n$ data items has an unknown value, which is known to lie in a given interval. We can pay a query cost to learn the…

Data Structures and Algorithms · Computer Science 2021-04-16 Magnús M. Halldórsson , Murilo S. de Lima

This paper introduces the first theoretical framework for quantifying the efficiency and performance gain opportunity size of adaptive inference algorithms. We provide new approximate and exact bounds for the achievable efficiency and…

Machine Learning · Computer Science 2024-02-08 Soheil Hor , Ying Qian , Mert Pilanci , Amin Arbabian

Error probabilities of random codes for memoryless channels are considered in this paper. In the area of communication systems, admissible error probability is very small and it is sometimes more important to discuss the relative gap…

Information Theory · Computer Science 2015-06-11 Junya Honda

We consider a setting of non-cooperative communication where a receiver wants to recover randomly generated sequences of symbols that are observed by a strategic sender. The sender aims to maximize an average utility that may not align with…

Information Theory · Computer Science 2025-03-03 Anuj S. Vora , Ankur A. Kulkarni

In this paper, we consider encoding strategies for the Z-channel with noiseless feedback. We analyze the combinatorial setting where the maximum number of errors inflicted by an adversary is proportional to the number of transmissions,…

Information Theory · Computer Science 2021-02-11 Christian Deppe , Vladimir Lebedev , Georg Maringer , Nikita Polyanskii

We study the problem of opportunistic approachability: a generalization of Blackwell approachability where the learner would like to obtain stronger guarantees (i.e., approach a smaller set) when their adversary limits themselves to a…

Machine Learning · Computer Science 2026-02-26 Teodor Vanislavov Marinov , Mehryar Mohri , Princewill Okoroafor , Jon Schneider , Julian Zimmert

In Part I \cite{Zhao13TSPasync1}, we introduced a fairly general model for asynchronous events over adaptive networks including random topologies, random link failures, random data arrival times, and agents turning on and off randomly. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

Window decoding, first proposed to reduce decoding complexity for real-time decoding, is an essential component to realize scalable, universal-fault tolerant computation. Prior work has focused on improving throughput through…

Quantum Physics · Physics 2026-05-05 Tina Oberoi , Joshua Viszlai , Frederic T. Chong

The error threshold for fault tolerant quantum computation with concatenated encoding of qubits is penalized by internal communication overhead. Many quantum computation proposals rely on nearest-neighbour communication, which requires…

Quantum Physics · Physics 2007-05-23 T. Szkopek , P. O. Boykin , H. Fan , V. Roychowdhury , E. Yablonovitch , G. Simms , M. Gyure , B. Fong

We consider the problem of communication over a network containing a hidden and malicious adversary that can control a subset of network resources, and aims to disrupt communications. We focus on omniscient node-based adversaries, i.e., the…

Information Theory · Computer Science 2016-05-09 Peida Tian , Sidharth Jaggi , Mayank Bakshi , Oliver Kosut

The optimal fault-tolerance achievable by any protocol has been characterized in a wide range of settings. For example, for state machine replication (SMR) protocols operating in the partially synchronous setting, it is possible to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-01 Andrew Lewis-Pye , Tim Roughgarden

We characterise bounds on the optimal broadcast rate for a few classes of pliable-index-coding instances. Unlike the majority of currently solved instances, which belong to a special class where all receivers with a certain side-information…

Information Theory · Computer Science 2025-12-09 Lawrence Ong , Badri N. Vellambi , Parastoo Sadeghi , Jörg Kliewer

Consensus is one of the most thoroughly studied problems in distributed computing, yet there are still complexity gaps that have not been bridged for decades. In particular, in the classical message-passing setting with processes' crashes,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-25 MohammadTaghi HajiAghayi , Dariusz R. Kowalski , Jan Olkowski

For every p in (0,1/2), we give an explicit construction of binary codes of rate approaching "capacity" 1-H(p) that enable reliable communication in the presence of worst-case additive errors}, caused by a channel oblivious to the codeword…

Information Theory · Computer Science 2010-05-04 Venkatesan Guruswami , Adam Smith

We present an upper bound on the error probability achievable using variable-length stop feedback codes, for a fixed size of the information payload and a given constraint on the maximum latency and the average service time. Differently…

Information Theory · Computer Science 2020-02-20 Johan Östman , Rahul Devassy , Giuseppe Durisi , Erik G. Ström