{"title":"Recovering asymmetric communities in the stochastic block model","authors":"F. Caltagirone, M. Lelarge, Léo Miolane","doi":"10.1109/ALLERTON.2016.7852204","DOIUrl":"https://doi.org/10.1109/ALLERTON.2016.7852204","url":null,"abstract":"We consider the sparse stochastic block model in the case where the degrees are uninformative. The case where the two communities have approximately the same size has been extensively studied and we concentrate here on the community detection problem in the case of unbalanced communities. In this setting, spectral algorithms based on the non-backtracking matrix are known to solve the community detection problem (i.e. do strictly better than a random guess) when the signal is sufficiently large namely above the so-called Kesten Stigum threshold. In this regime and when the average degree tends to infinity, we show that if the community of a vanishing fraction of the vertices is revealed, then a local algorithm (belief propagation) is optimal down to Kesten Stigum threshold and we quantify explicitly its performance. Below the Kesten Stigum threshold, we show that, in the large degree limit, there is a second threshold called the spinodal curve below which, the community detection problem is not solvable. The spinodal curve is equal to the Kesten Stigum threshold when the fraction of vertices in the smallest community is above equation, so that the Kesten Stigum threshold is the threshold for solvability of the community detection in this case. However when the smallest community is smaller than p*, the spinodal curve only provides a lower bound on the threshold for solvability. In the regime below the Kesten Stigum bound and above the spinodal curve, we also characterize the performance of best local algorithms as a function of the fraction of revealed vertices. Our proof relies on a careful analysis of the associated reconstruction problem on trees which might be of independent interest. In particular, we show that the spinodal curve corresponds to the reconstruction threshold on the tree.","PeriodicalId":102145,"journal":{"name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"1866 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131366714","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}
{"title":"Information design for strategic coordination of autonomous devices with non-aligned utilities","authors":"M. L. Treust, Tristan Tomala","doi":"10.1109/ALLERTON.2016.7852235","DOIUrl":"https://doi.org/10.1109/ALLERTON.2016.7852235","url":null,"abstract":"In this paper, we investigate the coordination of autonomous devices with non-aligned utility functions. Both encoder and decoder are considered as players, that choose the encoding and the decoding in order to maximize their long-run utility functions. The topology of the point-to-point network under investigation, suggests that the decoder implements a strategy, knowing in advance the strategy of the encoder. We characterize the encoding and decoding functions that form an equilibrium, by using empirical coordination. The equilibrium solution is related to an auxiliary game in which both players choose some conditional distributions in order to maximize their expected utilities. This problem is closely related to the literature on “Information Design” in Game Theory. We also characterize the set of posterior distributions that are compatible with a rate-limited channel between the encoder and the decoder. Finally, we provide an example of non-aligned utility functions corresponding to parallel fading multiple access channels.","PeriodicalId":102145,"journal":{"name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130257330","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}
Cédric Richier, R. E. Azouzi, T. Jiménez, E. Altman, G. Linarès
{"title":"Predicting popularity dynamics of online contents using data filtering methods","authors":"Cédric Richier, R. E. Azouzi, T. Jiménez, E. Altman, G. Linarès","doi":"10.1109/ALLERTON.2016.7852207","DOIUrl":"https://doi.org/10.1109/ALLERTON.2016.7852207","url":null,"abstract":"This paper proposes a new prediction process to explain and predicts popularity evolution of YouTube videos. We exploit prior study on the classification of YouTube videos in order to predict the evolution of videos' view-count. This classification allows to identify important factors of the observed popularity dynamics. In particular, we use this classification as filtering method allowing to identify the factors responsible for this popularity evolution. Results given by extensive experiments show that the proposed prediction process is able to reduce the average prediction errors compared to a state-of-the-art baseline model. We also evaluate the impact of adding popularity criteria in the classification.","PeriodicalId":102145,"journal":{"name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121082603","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}
{"title":"The role of strong convexity-concavity in the convergence and robustness of the saddle-point dynamics","authors":"A. Cherukuri, Enrique Mallada, S. Low, J. Cortés","doi":"10.1109/ALLERTON.2016.7852273","DOIUrl":"https://doi.org/10.1109/ALLERTON.2016.7852273","url":null,"abstract":"This paper studies the projected saddle-point dynamics for a twice differentiable convex-concave function, which we term saddle function. The dynamics consists of gradient descent of the saddle function in variables corresponding to convexity and (projected) gradient ascent in variables corresponding to concavity. We provide a novel characterization of the omega-limit set of the trajectories of these dynamics in terms of the diagonal Hessian blocks of the saddle function. Using this characterization, we establish global asymptotic convergence of the dynamics under local strong convexity-concavity of the saddle function. If this property is global, and for the case when the saddle function takes the form of the Lagrangian of an equality constrained optimization problem, we establish the input-to-state stability of the saddle-point dynamics by providing an ISS Lyapunov function. Various examples illustrate our results.","PeriodicalId":102145,"journal":{"name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"268 12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123471488","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}
{"title":"Symmetry reduction of information inequalities","authors":"Kai Zhang, C. Tian","doi":"10.1109/ALLERTON.2016.7852210","DOIUrl":"https://doi.org/10.1109/ALLERTON.2016.7852210","url":null,"abstract":"Information inequalities can be used to bound the fundamental limits of communication systems and data storage systems. Information inequalities, particularly Shannon-type inequalities, and the problem-specific constraints are usually either linear equalities or inequalities of joint entropies, and thus outer bounding the fundamental limit can be viewed and solved as a linear program (LP). However, for many practical engineering problems, the resultant LP is very large. It was shown previously that symmetry in these problems can be used to reduce the scale of the LP, however the precise amount of reduction was not well understood. In this work, we provide a generic method to pinpoint this reduction. In particular, three problems are studied: extremal pairwise cyclic entropy inequalities, the regenerating code problem, and the caching problem. By viewing the symmetry as an induced permutation group on certain set, Pólya counting theorem can be applied, which however requires identifying the cycle index of the induced permutation.","PeriodicalId":102145,"journal":{"name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114290538","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}
{"title":"A two-round interactive receiver cooperation scheme for multicast channels","authors":"Victor Exposito, Sheng Yang, N. Gresset","doi":"10.1109/ALLERTON.2016.7852299","DOIUrl":"https://doi.org/10.1109/ALLERTON.2016.7852299","url":null,"abstract":"We consider the transmission of a common message from a transmitter to two receivers over a broadcast channel, also called a multicast channel in this case. The two receivers are allowed to cooperate with each other in full-duplex over non-orthogonal cooperation links. We investigate the information-theoretic upper and lower bounds on the broadcast rate. In particular, we propose a two-round cooperation scheme in which the receivers interactively perform compress-forward (CF) and then decode-forward (DF) to improve the achievable rate. Numerical results compare the proposed scheme to existing schemes and the cutset upper bound in the Gaussian case. We show that the proposed scheme outperforms the non-interactive DF and CF schemes as well as the noisy network coding scheme. The gain over the DF scheme becomes larger when the main channel becomes symmetric, while the gain over the CF scheme becomes larger when the main channel becomes asymmetric.","PeriodicalId":102145,"journal":{"name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129465237","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}
{"title":"On a notion of estimation entropy for stochastic hybrid systems","authors":"A. Awan, Majid Zamani","doi":"10.1109/ALLERTON.2016.7852312","DOIUrl":"https://doi.org/10.1109/ALLERTON.2016.7852312","url":null,"abstract":"The advent of emerging fields such as networked control systems and wireless sensor networks involving information flow over bandwidth-constrained digital channels has presented the control and information theory communities with a new set of challenges. One of these challenges is to accurately estimate the trajectory of (stochastic) nonlinear systems using sampled and quantized state measurements transmitted over a finite-bandwidth digital channel. This has led researchers to study these problems by combining notions from both control and communication domains, two fields which have been traditionally treated separately. A recent notion introduced in this context is called estimation entropy, which has been defined as the minimum bit rate required to estimate the trajectory of a deterministic nonlinear system with a given exponential convergence rate. In this paper, we show that this notion can be extended to continuous-time stochastic systems as well, particularly, a class of stochastic hybrid systems. We also provide an upper bound on the estimation entropy for this class of systems.","PeriodicalId":102145,"journal":{"name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116374894","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}
Shuang Li, Yang Cao, Christina Leamon, Yao Xie, Lei Shi, Wenzhan Song
{"title":"Online seismic event picking via sequential change-point detection","authors":"Shuang Li, Yang Cao, Christina Leamon, Yao Xie, Lei Shi, Wenzhan Song","doi":"10.1109/ALLERTON.2016.7852311","DOIUrl":"https://doi.org/10.1109/ALLERTON.2016.7852311","url":null,"abstract":"Seismic event picking plays a key role in seismology studies. The goal of seismic event picking is to detect the onset of a seismic event, which typically causes an increase in the amplitude of the recorded signal. In this paper, we present a sequential change-point detection method for online seismic event detection, based on the generalized maximum likelihood statistic. We assume that the signals prior to the event are i.i.d. Gaussian random variables with zero mean and known variance, and after the event are i.i.d. Gaussian with zero mean and an increased unknown variance. We form a generalized likelihood ratio (GLR) based statistic by replacing the unknown variance with its maximum likelihood estimate, which takes a simple form and has a recursive implementation. An event is detected whenever the statistic exceeds a prescribed threshold. We compare the performance of our GLR procedure relative to the commonly used short-term-average/long-term-average (STA/LTA) algorithm, which is the state-of-the-art for seismic event detection, using large-scale seismic dataset and demonstrate the benefits of our GLR statistic. We also present a joint detection method to utilize the capability of seismic sensors to record signals through three independent channels, to achieve much better detection performance. We also present a method to combine GLR procedure with P-wave and S-wave filtering.","PeriodicalId":102145,"journal":{"name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124227986","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}
Georges El Rahi, Anibal Sanjab, W. Saad, N. Mandayam, H. Poor
{"title":"Prospect theory for enhanced smart grid resilience using distributed energy storage","authors":"Georges El Rahi, Anibal Sanjab, W. Saad, N. Mandayam, H. Poor","doi":"10.1109/ALLERTON.2016.7852237","DOIUrl":"https://doi.org/10.1109/ALLERTON.2016.7852237","url":null,"abstract":"The proliferation of distributed generation and storage units is leading to the development of local, small-scale distribution grids, known as microgrids (MGs). In this paper, the problem of optimizing the energy trading decisions of MG operators (MGOs) is studied using game theory. In the formulated game, each MGO chooses the amount of energy that must be sold immediately or stored for future emergencies, given the prospective market prices which are influenced by other MGOs' decisions. The problem is modeled using a Bayesian game to account for the incomplete information that MGOs have about each others' levels of surplus. The proposed game explicitly accounts for each MGO's subjective decision when faced with the uncertainty of its opponents' energy surplus. In particular, the so-called framing effect, from the framework of prospect theory (PT), is used to account for each MGO's valuation of its gains and losses with respect to an individual utility reference point. The reference point is typically different for each individual and originates from its past experiences and future aspirations. A closed-form expression for the Bayesian Nash equilibrium is derived for the standard game formulation. Under PT, a best response algorithm is proposed to find the equilibrium. Simulation results show that, depending on their individual reference points, MGOs can tend to store more or less energy under PT compared to classical game theory. In addition, the impact of the reference point is found to be more prominent as the emergency price set by the power company increases.","PeriodicalId":102145,"journal":{"name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122266698","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}
{"title":"A bisimulation-like algorithm for abstracting control systems","authors":"Andrew J. Wagenmaker, N. Ozay","doi":"10.1109/ALLERTON.2016.7852282","DOIUrl":"https://doi.org/10.1109/ALLERTON.2016.7852282","url":null,"abstract":"Motivated by the recent interest in abstraction-based correct-by-construction control synthesis, in this paper we propose a new algorithm to construct finite abstractions for “large”, possibly infinite, transition systems. As opposed to the standard bisimulation algorithms that create a partition of the state space, the new algorithm uses overlapping subsets of the state space as the states of the abstraction. We show that the output of the new bisimulation-like algorithm preserves realizability of linear-time properties. Several interesting properties of the algorithm are analyzed. In particular, when a finite bisimulation of the original system exists, the new algorithm is shown to always terminate in a finite number of steps. Moreover, we show with an example that even when the original system does not have a finite bisimulation, the new algorithm can result in a finite transition system whose infinite traces are equivalent to those of the original system. In the second part of the paper, we focus on the application of this algorithm to construct finite abstractions for discrete-time linear control systems and discuss several of its advantages over the standard bisimulation algorithm. Finally, the new algorithm is compared to the existing algorithms with some numerical examples.","PeriodicalId":102145,"journal":{"name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121440832","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}