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We show how two recently developed quantum information theoretic tools can be applied to obtain lower bounds on quantum information complexity. We also develop new tools with potential for broader applicability, and use them to establish a…

Quantum Physics · Physics 2022-09-14 Ashwin Nayak , Dave Touchette

We show an Omega(sqrt{n}/T) lower bound for the space required by any unidirectional constant-error randomized T-pass streaming algorithm that recognizes whether an expression over two types of parenthesis is well-parenthesized. This proves…

Computational Complexity · Computer Science 2014-07-11 Rahul Jain , Ashwin Nayak

We define the Streaming Communication model that combines the main aspects of communication complexity and streaming. We consider two agents that want to compute some function that depends on inputs that are distributed to each agent. The…

Computational Complexity · Computer Science 2016-09-23 Lucas Boczkowski , Iordanis Kerenidis , Frédéric Magniez

We introduce a new notion of information complexity for multi-pass streaming problems and use it to resolve several important questions in data streams. In the coin problem, one sees a stream of $n$ i.i.d. uniform bits and one would like to…

Computational Complexity · Computer Science 2024-04-01 Mark Braverman , Sumegha Garg , Qian Li , Shuo Wang , David P. Woodruff , Jiapeng Zhang

Information theoretically secure multi-party computation (MPC) is a central primitive of modern cryptography. However, relatively little is known about the communication complexity of this primitive. In this work, we develop powerful…

Cryptography and Security · Computer Science 2014-04-15 Deepesh Data , Vinod M. Prabhakaran , Manoj M. Prabhakaran

The question of how much communication is required between collaborating parties to compute a function of their data is of fundamental importance in the fields of theoretical computer science and information theory. In this work, the focus…

Information Theory · Computer Science 2016-02-09 Shijin Rajakrishnan , Sundara Rajan S , Vinod Prabhakaran

We give lower bounds on the communication complexity required to solve several computational problems in a distributed-memory parallel machine, namely standard matrix multiplication, stencil computations, comparison sorting, and the Fast…

Data Structures and Algorithms · Computer Science 2013-09-24 Michele Scquizzato , Francesco Silvestri

The recent breakthrough in artificial intelligence (AI), especially deep neural networks (DNNs), has affected every branch of science and technology. Particularly, edge AI has been envisioned as a major application scenario to provide…

Machine Learning · Computer Science 2024-10-30 Jiawei Shao , Jun Zhang

We define a new notion of information cost for quantum protocols, and a corresponding notion of quantum information complexity for bipartite quantum channels, and then investigate the properties of such quantities. These are the fully…

Quantum Physics · Physics 2014-04-16 Dave Touchette

Semantic communication is a novel communication paradigm that focuses on conveying the user's intended meaning rather than the bit-wise transmission of source signals. One of the key challenges is to effectively represent and extract the…

Information Theory · Computer Science 2026-05-08 Jingxuan Chai , Yong Xiao , Guangming Shi

The main contribution of this work is to relate information complexity to "tension" [Prabhakaran and Prabhakaran, 2014] - an information-theoretic quantity defined with no reference to protocols - and to illustrate that it allows deriving…

Computational Complexity · Computer Science 2014-08-28 Manoj M. Prabhakaran , Vinod M. Prabhakaran

This paper presents an unusual view of interference wireless networks based on complex system thinking. To proceed with this analysis, a literature review of the different applications of complex systems is firstly presented to illustrate…

Information Theory · Computer Science 2013-03-13 Pedro H. J. Nardelli , Paulo Cardieri , William A. Kretzschmar , Matti Latva-aho

We prove tight network topology dependent bounds on the round complexity of computing well studied $k$-party functions such as set disjointness and element distinctness. Unlike the usual case in the CONGEST model in distributed computing,…

Computational Complexity · Computer Science 2016-11-02 Arkadev Chattopadhyay , Michael Langberg , Shi Li , Atri Rudra

There is a fundamental trade-off between the communication cost and latency in information aggregation. Aggregating multiple communication messages over time can alleviate overhead and improve energy efficiency on one hand, but inevitably…

Networking and Internet Architecture · Computer Science 2017-09-25 Chi-Kin Chau , Majid Khonji , Muhammad Aftab

This paper develops a unified information-theoretic framework for artificial-intelligence (AI)-aided integrated sensing and communication (ISAC), where a learning component with limited representational capacity is embedded within the…

Information Theory · Computer Science 2025-12-16 Farshad Rostami Ghadi , F. Javier Lopez-Martinez , Kai-Kit Wong , Christos Masouros

The paper is focused on the tradeoff between performance and decoding complexity per iteration for LDPC codes in terms of their gap (in rate) to capacity. The study of this tradeoff is done via information-theoretic bounds which also enable…

Information Theory · Computer Science 2007-07-13 Igal Sason , Gil Wiechman

The first section starts with the basic definitions following mainly the notations of the book written by E. Kushilevitz and N. Nisan. At the end of the first section I examine tree-balancing. In the second section I summarize the…

Computational Complexity · Computer Science 2010-07-13 Dömötör Pálvölgyi

We prove a direct sum theorem for bounded round entanglement-assisted quantum communication complexity. To do so, we use the fully quantum definition for information cost and complexity that we recently introduced, and use both the fact…

Quantum Physics · Physics 2021-01-01 Dave Touchette

We study actively labeling streaming data, where an active learner is faced with a stream of data points and must carefully choose which of these points to label via an expensive experiment. Such problems frequently arise in applications…

Machine Learning · Computer Science 2023-07-06 Ting Cai , Kirthevasan Kandasamy

Data dissemination is a fundamental task in distributed computing. This paper studies broadcast problems in various innovative models where the communication network connecting $n$ processes is dynamic (e.g., due to mobility or failures)…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-30 Antoine El-Hayek , Monika Henzinger , Stefan Schmid
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