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We present efficient and practical algorithms for a large, distributed system of processors to achieve reliable computations in a secure manner. Specifically, we address the problem of computing a general function of several private inputs…

Cryptography and Security · Computer Science 2021-01-29 Donald Rozinak Beaver

This paper investigates the problem of secure communication in a wireline noiseless scenario where a source wishes to communicate to a number of destinations in the presence of a passive external adversary. Different from the multicast…

Information Theory · Computer Science 2019-01-10 Gaurav Kumar Agarwal , Martina Cardone , Christina Fragouli

In contrast to the network coding problem wherein the sinks in a network demand subsets of the source messages, in a network computation problem the sinks demand functions of the source messages. Similarly, in the functional index coding…

Information Theory · Computer Science 2016-03-18 Anindya Gupta , B. Sundar Rajan

We consider secure computation of randomized functions between two users, where both the users (Alice and Bob) have inputs, Alice sends a message to Bob over a rate-limited, noise-free link, and then Bob produces the output. We study two…

Information Theory · Computer Science 2017-05-22 Deepesh Data , Vinod M. Prabhakaran

We consider in-network computation of an arbitrary function over an arbitrary communication network. A network with capacity constraints on the links is given. Some nodes in the network generate data, e.g., like sensor nodes in a sensor…

Networking and Internet Architecture · Computer Science 2010-10-01 Virag Shah , Bikash Kumar Dey , D. Manjunath

In this paper, we consider different aspects of the network functional compression problem where computation of a function (or, some functions) of sources located at certain nodes in a network is desired at receiver(s). The rate region of…

Information Theory · Computer Science 2010-12-01 Soheil Feizi , Muriel Medard

Wireless sensor networks are often deployed in public or otherwise untrusted and even hostile environments, which prompts a number of security issues. Although security is a necessity in other types of networks, it is much more so in sensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-27 Christophe Guyeux , Abdallah Makhoul , Jacques M. Bahi

We investigate linear network coding in the context of robust function computation, where a sink node is tasked with computing a target function of messages generated at multiple source nodes. In a previous work, a new distance measure was…

Information Theory · Computer Science 2024-09-18 Hengjia Wei , Min Xu , Gennian Ge

This paper characterizes the secret message capacity of three networks where two unicast sessions share some of the communication resources. Each network consists of erasure channels with state feedback. A passive eavesdropper is assumed to…

Information Theory · Computer Science 2018-10-16 Gaurav Kumar Agarwal , Martina Cardone , Christina Fragouli

A router is a device, in the computer networks, that is used to forward a data packet. Because of its function, the router becomes an important role in measuring the performance of computer networks. It needs to process the incoming data…

Networking and Internet Architecture · Computer Science 2019-03-01 Kurniawan D. Irianto

In this paper we investigate formal verification problems for Neural Network computations. Of central importance will be various robustness and minimization problems such as: Given symbolic specifications of allowed inputs and outputs in…

Artificial Intelligence · Computer Science 2024-03-21 Adrian Wurm

We seek to develop network algorithms for function computation in sensor networks. Specifically, we want dynamic joint aggregation, routing, and scheduling algorithms that have analytically provable performance benefits due to in-network…

Networking and Internet Architecture · Computer Science 2012-06-25 Siddhartha Banerjee , Piyush Gupta , Sanjay Shakkottai

In secure summation, $K$ users, each holds an input, wish to compute the sum of the inputs at a server without revealing any information about {\em all the inputs} even if the server may collude with {\em an arbitrary subset of users}. In…

Information Theory · Computer Science 2023-04-20 Zhou Li , Yizhou Zhao , Hua Sun

We suggest two new methodologies for the design of efficient secure protocols, that differ with respect to their underlying computational models. In one methodology we utilize the communication complexity tree (or branching for f and…

Cryptography and Security · Computer Science 2007-05-23 Moni Naor , Kobbi Nissim

One of the main theoretical motivations for the emerging area of network coding is the achievability of the max-flow/min-cut rate for single source multicast. This can exceed the rate achievable with routing alone, and is achievable with…

Information Theory · Computer Science 2008-02-04 Terence Chan , Alex Grant

We consider a two-user secure computation problem in which Alice and Bob communicate interactively in order to compute some deterministic functions of the inputs. The privacy requirement is that each user should not learn any additional…

Information Theory · Computer Science 2020-05-12 Gowtham R. Kurri , Vinod M. Prabhakaran

We consider the distributed function computation problem in asymmetric communication scenarios, where the sink computes some deterministic function of the data split among N correlated informants. The distributed function computation…

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

Distributed linearly separable computation, where a user asks some distributed servers to compute a linearly separable function, was recently formulated by the same authors and aims to alleviate the bottlenecks of stragglers and…

Information Theory · Computer Science 2021-02-02 Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

In network function computation is as a means to reduce the required communication flow in terms of number of bits transmitted per source symbol. However, the rate region for the function computation problem in general topologies is an open…

Information Theory · Computer Science 2020-01-23 Derya Malak , Alejandro Cohen , Muriel Medard

A receiver wants to compute a function of two correlated sources separately observed by two transmitters. One of the transmitters may send a possibly private message to the other transmitter in a cooperation phase before both transmitters…

Information Theory · Computer Science 2015-04-08 Milad Sefidgaran , Aslan Tchamkerten