Pub Date : 2016-08-11DOI: 10.1109/ISIT.2016.7541420
Fabio D’Andreagiovanni, G. Caire
We consider the problem of clustering N users into K groups such that users in the same group are assigned a common service profile over M commodities. The profile of each group k sets for each commodity m the maximum of the service quality that users in the k-th group are willing to pay. The objective is to find the clustering that maximizes the total service user quality, which corresponds to the revenue of the service provider. This Service Profile Optimization Problem (SPOP) emerges in various applications, as for example the bit-loading in Hybrid Fiber Coax data distribution systems. We propose a Mixed Integer Linear Programming (MILP) model for the problem, that allows to use state-of-the-art MILP solvers as the core tool in an original powerful heuristic. We show complexity and performance gains with respect to previously proposed methods and a direct application of a state of the art MILP solver.
{"title":"An unconventional clustering problem: User Service Profile Optimization","authors":"Fabio D’Andreagiovanni, G. Caire","doi":"10.1109/ISIT.2016.7541420","DOIUrl":"https://doi.org/10.1109/ISIT.2016.7541420","url":null,"abstract":"We consider the problem of clustering N users into K groups such that users in the same group are assigned a common service profile over M commodities. The profile of each group k sets for each commodity m the maximum of the service quality that users in the k-th group are willing to pay. The objective is to find the clustering that maximizes the total service user quality, which corresponds to the revenue of the service provider. This Service Profile Optimization Problem (SPOP) emerges in various applications, as for example the bit-loading in Hybrid Fiber Coax data distribution systems. We propose a Mixed Integer Linear Programming (MILP) model for the problem, that allows to use state-of-the-art MILP solvers as the core tool in an original powerful heuristic. We show complexity and performance gains with respect to previously proposed methods and a direct application of a state of the art MILP solver.","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"262 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131995860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-08-11DOI: 10.1109/ISIT.2016.7541789
Theodoros Tsiligkaridis
This paper studies the problem of adaptively searching for an unknown target using multiple agents connected through a time-varying network topology. Agents are equipped with sensors capable of fast information processing, and we propose an asynchronous decentralized algorithm for controlling their search based on noisy observations. We propose asynchronous decentralized algorithms for adaptive query-based search that combine the Bayesian bisection method and social learning. Under standard assumptions on the time-varying network dynamics, we prove convergence to correct consensus on the value of the parameter as the number of iterations grow. Our results establish that stability and consistency can be maintained even with one-way updating and randomized pairwise averaging, thus providing a scalable low complexity alternative to the synchronous decentralized estimation algorithms studied in previous works. We illustrate the effectiveness and robustness of our algorithm for random network topologies.
{"title":"Asynchronous decentralized algorithms for the noisy 20 questions problem","authors":"Theodoros Tsiligkaridis","doi":"10.1109/ISIT.2016.7541789","DOIUrl":"https://doi.org/10.1109/ISIT.2016.7541789","url":null,"abstract":"This paper studies the problem of adaptively searching for an unknown target using multiple agents connected through a time-varying network topology. Agents are equipped with sensors capable of fast information processing, and we propose an asynchronous decentralized algorithm for controlling their search based on noisy observations. We propose asynchronous decentralized algorithms for adaptive query-based search that combine the Bayesian bisection method and social learning. Under standard assumptions on the time-varying network dynamics, we prove convergence to correct consensus on the value of the parameter as the number of iterations grow. Our results establish that stability and consistency can be maintained even with one-way updating and randomized pairwise averaging, thus providing a scalable low complexity alternative to the synchronous decentralized estimation algorithms studied in previous works. We illustrate the effectiveness and robustness of our algorithm for random network topologies.","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133039048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-08-11DOI: 10.1109/ISIT.2016.7541734
L. Palzer, R. Timo
This paper studies fixed-length compression with multiple constraints in the finite blocklength regime. We introduce two different average distortion measures and consider constraints for individual source outcomes. The concept of d-tilted information as well as recent finite-length bounds for the optimal coding rates are extended to this setting. We further particularise our results to the binary memoryless source and a sparse Gaussian source.
{"title":"Fixed-length compression for letter-based fidelity measures in the finite blocklength regime","authors":"L. Palzer, R. Timo","doi":"10.1109/ISIT.2016.7541734","DOIUrl":"https://doi.org/10.1109/ISIT.2016.7541734","url":null,"abstract":"This paper studies fixed-length compression with multiple constraints in the finite blocklength regime. We introduce two different average distortion measures and consider constraints for individual source outcomes. The concept of d-tilted information as well as recent finite-length bounds for the optimal coding rates are extended to this setting. We further particularise our results to the binary memoryless source and a sparse Gaussian source.","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124049106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-08-11DOI: 10.1109/ISIT.2016.7541509
Tian Ding, Xiaojun Yuan, S. Liew
We study the degrees of freedom (DoF) of a symmetric multi-relay multiple-input multiple-output (MIMO) Y channel, where three users, each equipped with M antennas, exchange messages via multiple geographically separated relay nodes, each with N antennas. We formulate a general DoF achievability problem assuming the use of linear precoding and post-processing. To solve this problem, we present a new uplink-downlink asymmetric strategy where the user precoders are designed for signal alignment and the user post-processors are used for interference neutralization. Based on that, we derive an achievable DoF of the considered model for an arbitrary antenna setup. The optimality of the derived DoF is established under certain antenna configurations. Also, we show that our design considerably outperforms the conventional uplink-downlink symmetric design.
{"title":"Degrees of freedom of MIMO Y channel with multiple relays","authors":"Tian Ding, Xiaojun Yuan, S. Liew","doi":"10.1109/ISIT.2016.7541509","DOIUrl":"https://doi.org/10.1109/ISIT.2016.7541509","url":null,"abstract":"We study the degrees of freedom (DoF) of a symmetric multi-relay multiple-input multiple-output (MIMO) Y channel, where three users, each equipped with M antennas, exchange messages via multiple geographically separated relay nodes, each with N antennas. We formulate a general DoF achievability problem assuming the use of linear precoding and post-processing. To solve this problem, we present a new uplink-downlink asymmetric strategy where the user precoders are designed for signal alignment and the user post-processors are used for interference neutralization. Based on that, we derive an achievable DoF of the considered model for an arbitrary antenna setup. The optimality of the derived DoF is established under certain antenna configurations. Also, we show that our design considerably outperforms the conventional uplink-downlink symmetric design.","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124923370","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-08-11DOI: 10.1109/ISIT.2016.7541417
E. Abbe, Colin Sandon
Decelle et al. conjectured that community detection in the symmetric stochastic block model has a computational threshold given by the so-called Kesten-Stigum (KS) threshold, and that information-theoretic methods can cross this threshold for a large enough number of communities (4 or 5 depending on the regime of the parameters). This paper shows that at k = 5, it is possible to cross the KS threshold in the disassortative regime with a non-efficient algorithm that samples a clustering having typical cluster volumes. Further, the gap between the KS and information-theoretic threshold is shown to be large in some cases. In the case where edges are drawn only across clusters with an average degree of b, and denoting by k the number of communities, the KS threshold reads b ≳ k2 whereas our information-theoretic bound reads b ≳ k ln(k).
{"title":"Crossing the KS threshold in the stochastic block model with information theory","authors":"E. Abbe, Colin Sandon","doi":"10.1109/ISIT.2016.7541417","DOIUrl":"https://doi.org/10.1109/ISIT.2016.7541417","url":null,"abstract":"Decelle et al. conjectured that community detection in the symmetric stochastic block model has a computational threshold given by the so-called Kesten-Stigum (KS) threshold, and that information-theoretic methods can cross this threshold for a large enough number of communities (4 or 5 depending on the regime of the parameters). This paper shows that at k = 5, it is possible to cross the KS threshold in the disassortative regime with a non-efficient algorithm that samples a clustering having typical cluster volumes. Further, the gap between the KS and information-theoretic threshold is shown to be large in some cases. In the case where edges are drawn only across clusters with an average degree of b, and denoting by k the number of communities, the KS threshold reads b ≳ k2 whereas our information-theoretic bound reads b ≳ k ln(k).","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122837303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-08-11DOI: 10.1109/ISIT.2016.7541461
Nir Shlezinger, R. Dabora
In many communications scenarios the channel exhibits periodic characteristics. Periodicity may be expressed as a periodically time-varying channel transfer function as well as an additive noise with periodically time-varying statistics. Examples for such scenarios include interference-limited communications, both wireless and wireline, and also power line communications (PLC). In this work, we characterize the capacity of discrete-time, finite-memory Gaussian multiple-input multiple-output (MIMO) channels with periodic characteristics. The derivation transforms the periodic MIMO channel into an extended time-invariant MIMO channel, for which we obtain a closed-form capacity expression. It is shown that capacity can be achieved by an appropriate waterfilling scheme. The capacity expression obtained is numerically evaluated for practical PLC scenarios, and compared to the achievable rate of an ad-hoc orthogonal frequency division multiplexing based scheme, and the gains from optimally handling the periodicity of the channel are quantified.
{"title":"The capacity of discrete-time Gaussian MIMO channels with periodic characteristics","authors":"Nir Shlezinger, R. Dabora","doi":"10.1109/ISIT.2016.7541461","DOIUrl":"https://doi.org/10.1109/ISIT.2016.7541461","url":null,"abstract":"In many communications scenarios the channel exhibits periodic characteristics. Periodicity may be expressed as a periodically time-varying channel transfer function as well as an additive noise with periodically time-varying statistics. Examples for such scenarios include interference-limited communications, both wireless and wireline, and also power line communications (PLC). In this work, we characterize the capacity of discrete-time, finite-memory Gaussian multiple-input multiple-output (MIMO) channels with periodic characteristics. The derivation transforms the periodic MIMO channel into an extended time-invariant MIMO channel, for which we obtain a closed-form capacity expression. It is shown that capacity can be achieved by an appropriate waterfilling scheme. The capacity expression obtained is numerically evaluated for practical PLC scenarios, and compared to the achievable rate of an ad-hoc orthogonal frequency division multiplexing based scheme, and the gains from optimally handling the periodicity of the channel are quantified.","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"625 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132054297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-08-10DOI: 10.1109/ISIT.2016.7541716
Zhijie Ren, J. Goseling, J. Weber, M. Gastpar
Compute-and-forward (CF) is a technique which exploits broadcast and superposition in wireless networks. In this paper, the CF energy benefit is studied for networks with unicast sessions and modeled by connected graphs. This benefit is defined as the ratio of the minimum energy consumption by traditional routing techniques, not using broadcast and superposition features, and the corresponding CF consumption. It is shown to be upper bounded by min(d̅, K, 12√K), where d̅ and K are the average hop-count distance and the number of sessions, respectively. Also, it can be concluded that the energy benefit of network coding (NC) is also upper bounded by the same value, which is a new scaling law of the energy benefit for NC as a function of K.
{"title":"On the energy benefit of compute-and-forward for multiple unicasts","authors":"Zhijie Ren, J. Goseling, J. Weber, M. Gastpar","doi":"10.1109/ISIT.2016.7541716","DOIUrl":"https://doi.org/10.1109/ISIT.2016.7541716","url":null,"abstract":"Compute-and-forward (CF) is a technique which exploits broadcast and superposition in wireless networks. In this paper, the CF energy benefit is studied for networks with unicast sessions and modeled by connected graphs. This benefit is defined as the ratio of the minimum energy consumption by traditional routing techniques, not using broadcast and superposition features, and the corresponding CF consumption. It is shown to be upper bounded by min(d̅, K, 12√K), where d̅ and K are the average hop-count distance and the number of sessions, respectively. Also, it can be concluded that the energy benefit of network coding (NC) is also upper bounded by the same value, which is a new scaling law of the energy benefit for NC as a function of K.","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131089898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-07-26DOI: 10.1109/ISIT.2016.7541820
G. Vazquez-Vilar
Alternative exact expressions are derived for the minimum error probability of a hypothesis test discriminating among M quantum states. The first expression corresponds to the error probability of a binary hypothesis test with certain parameters; the second involves the optimization of a given information-spectrum measure. Particularized in the classical-quantum channel coding setting, this characterization implies the tightness of two existing converse bounds; one derived by Matthews and Wehner using hypothesis-testing, and one obtained by Hayashi and Nagaoka via an information-spectrum approach.
{"title":"Multiple quantum hypothesis testing expressions and classical-quantum channel converse bounds","authors":"G. Vazquez-Vilar","doi":"10.1109/ISIT.2016.7541820","DOIUrl":"https://doi.org/10.1109/ISIT.2016.7541820","url":null,"abstract":"Alternative exact expressions are derived for the minimum error probability of a hypothesis test discriminating among M quantum states. The first expression corresponds to the error probability of a binary hypothesis test with certain parameters; the second involves the optimization of a given information-spectrum measure. Particularized in the classical-quantum channel coding setting, this characterization implies the tightness of two existing converse bounds; one derived by Matthews and Wehner using hypothesis-testing, and one obtained by Hayashi and Nagaoka via an information-spectrum approach.","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"37 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114138386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-07-18DOI: 10.1109/ISIT.2016.7541592
M. Dalai, Yury Polyanskiy
We give new bounds on the reliability function of a typewriter channel with 5 inputs and crossover probability 1/2. The lower bound is more of theoretical than practical importance; it improves very marginally the expurgated bound, providing a counterexample to a conjecture on its tightness by Shannon, Gallager and Berlekamp which does not need the construction of algebraic-geometric codes previously used by Katsman, Tsfasman and Vlăduţ. The upper bound is derived by using an adaptation of the linear programming bound and it is essentially useful as a low-rate anchor for the straight line bound.
{"title":"Bounds on the reliability of a typewriter channel","authors":"M. Dalai, Yury Polyanskiy","doi":"10.1109/ISIT.2016.7541592","DOIUrl":"https://doi.org/10.1109/ISIT.2016.7541592","url":null,"abstract":"We give new bounds on the reliability function of a typewriter channel with 5 inputs and crossover probability 1/2. The lower bound is more of theoretical than practical importance; it improves very marginally the expurgated bound, providing a counterexample to a conjecture on its tightness by Shannon, Gallager and Berlekamp which does not need the construction of algebraic-geometric codes previously used by Katsman, Tsfasman and Vlăduţ. The upper bound is derived by using an adaptation of the linear programming bound and it is essentially useful as a low-rate anchor for the straight line bound.","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123989578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-07-10DOI: 10.1109/ISIT.2016.7541565
A. Zeh, A. Wachter-Zeh
New optimal constructions of locally repairable codes over small fields and their polynomial-time erasure list decoding are considered. Our code constructions are based on generalized code concatenation and give optimal binary codes with locality r = 2; 3. The impact of alphabet-dependent list recovery for alternant codes when applied to erasure list decoding of our constructed binary locally repairable codes is analyzed.
{"title":"Improved erasure list decoding locally repairable codes using alphabet-dependent list recovery","authors":"A. Zeh, A. Wachter-Zeh","doi":"10.1109/ISIT.2016.7541565","DOIUrl":"https://doi.org/10.1109/ISIT.2016.7541565","url":null,"abstract":"New optimal constructions of locally repairable codes over small fields and their polynomial-time erasure list decoding are considered. Our code constructions are based on generalized code concatenation and give optimal binary codes with locality r = 2; 3. The impact of alphabet-dependent list recovery for alternant codes when applied to erasure list decoding of our constructed binary locally repairable codes is analyzed.","PeriodicalId":198767,"journal":{"name":"2016 IEEE International Symposium on Information Theory (ISIT)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115391181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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