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We investigate the complexity of the reachability problem for (deep) neural networks: does it compute valid output given some valid input? It was recently claimed that the problem is NP-complete for general neural networks and…

Computational Complexity · Computer Science 2026-04-08 Marco Sälzer , Martin Lange

We investigate the complexity of the reachability problem for (deep) neural networks: does it compute valid output given some valid input? It was recently claimed that the problem is NP-complete for general neural networks and conjunctive…

Computational Complexity · Computer Science 2022-03-16 Marco Sälzer , Martin Lange

Rank weights and generalized rank weights have been proven to characterize error and erasure correction, and information leakage in linear network coding, in the same way as Hamming weights and generalized Hamming weights describe classical…

Information Theory · Computer Science 2016-04-25 Umberto Martínez-Peñas

In-network caching is one of the fundamental operations of Information-centric networks (ICN). The default caching strategy taken by most of the current ICN proposals is caching along--default--path, which makes popular objects to be cached…

Networking and Internet Architecture · Computer Science 2015-02-10 Sumanta Saha , Andrey Lukyanenko , Antti Ylä-Jääski

This paper discusses the complexity of graph pebbling, dealing with both traditional pebbling and the recently introduced game of cover pebbling. Determining whether a configuration is solvable according to either the traditional definition…

Combinatorics · Mathematics 2007-05-23 Nathaniel G. Watson

This article presents a general solution to the problem of computational complexity. First, it gives a historical introduction to the problem since the revival of the foundational problems of mathematics at the end of the 19th century.…

Computational Complexity · Computer Science 2023-12-25 Rami Zaidan

This paper has the following ambitious goal: to convince the reader that content caching is an exciting research topic for the future communication systems and networks. Caching has been studied for more than 40 years, and has recently…

Networking and Internet Architecture · Computer Science 2018-05-31 Georgios S. Paschos , George Iosifidis , Meixia Tao , Don Towsley , Giuseppe Caire

In recent years, there is an increasing demand of big memory systems so to perform large scale data analytics. Since DRAM memories are expensive, some researchers are suggesting to use other memory systems such as non-volatile memory (NVM)…

Performance · Computer Science 2016-10-03 Gaoying Ju , Yongkun Li , Yinlong Xu , Jiqiang Chen , John C. S. Lui

In-network caching promises to improve the performance of networked and edge applications as it shortens the paths data need to travel. This is by storing so-called hot items in the network switches on-route between clients who access the…

Networking and Internet Architecture · Computer Science 2022-03-10 Roy Friedman , Or Goaz , Dor Hovav

Coded caching has been shown to result in significant throughput gains, but its gains were proved only by assuming a placement phase with no transmission cost. A free placement phase is, however, an unrealistic assumption that could stand…

Information Theory · Computer Science 2019-12-17 Yousef AlHassoun , Faisal Alotaibi , Aly El Gamal , Hesham El Gamal

Caching content at the edge network is a popular and effective technique widely deployed to alleviate the burden of network backhaul, shorten service delay and improve service quality. However, there has been some controversy over privacy…

Networking and Internet Architecture · Computer Science 2026-02-02 Xianzhi Zhang , Yipeng Zhou , Di Wu , Quan Z. Sheng , Shazia Riaz , Miao Hu , Linchang Xiao

As ubiquitous and personalized services are growing boomingly, an increasingly large amount of traffic is generated over the network by massive mobile devices. As a result, content caching is gradually extending to network edges to provide…

Networking and Internet Architecture · Computer Science 2020-12-11 Qilin Fan , Xiuhua Li , Jian Li , Qiang He , Kai Wang , Junhao Wen

We consider wireless caches located in the plane according to general point process and specialize the results for the homogeneous Poisson process. A large data file is stored at the caches, which have limited storage capabilities. Hence,…

Networking and Internet Architecture · Computer Science 2013-09-04 Eitan Altman , Konstantin Avrachenkov , Jasper Goseling

Virtual memory of computers is usually implemented by demand paging. For some page replacement algorithms the number of page faults may increase as the number of page frames increases. Belady, Nelson and Shedler constructed reference…

Operating Systems · Computer Science 2010-03-13 Peter Fornai , Antal Ivanyi

It is well known that most of the common clustering objectives are NP-hard to optimize. In practice, however, clustering is being routinely carried out. One approach for providing theoretical understanding of this seeming discrepancy is to…

Machine Learning · Statistics 2015-10-20 Shai Ben-David

We consider caching in cellular networks in which each base station is equipped with a cache that can store a limited number of files. The popularity of the files is known and the goal is to place files in the caches such that the…

Networking and Internet Architecture · Computer Science 2017-11-27 Konstantin Avrachenkov , Jasper Goseling , Berksan Serbetci

Modern processors use cache memory: a memory access that "hits" the cache returns early, while a "miss" takes more time. Given a memory access in a program, cache analysis consists in deciding whether this access is always a hit, always a…

Programming Languages · Computer Science 2019-09-24 David Monniaux , Valentin Touzeau

The main objective of this paper is to present a mechanism of enhanced paging support for the second generation microkernels in the form of explicit support of multi-pager environment for the tasks running in the system. Proposed mechanism…

Operating Systems · Computer Science 2014-07-11 Yauhen Klimiankou

This work studies the coded caching problem in a setting where the users are simultaneously endowed with a private cache and a shared cache. The setting consists of a server connected to a set of users, assisted by a smaller number of…

Information Theory · Computer Science 2024-03-26 Elizabath Peter , K. K. Krishnan Namboodiri , B. Sundar Rajan

While the cost of computation is an easy to understand local property, the cost of data movement on cached architectures depends on global state, does not compose, and is hard to predict. As a result, programmers often fail to consider the…

Performance · Computer Science 2020-01-07 Tobias Gysi , Tobias Grosser , Laurin Brandner , Torsten Hoefler
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