This work develops robust diffusion recursive least-squares algorithms to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. The first algorithm minimizes ...
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This work develops robust diffusion recursive least-squares algorithms to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. The first algorithm minimizes an exponentially weighted least-squares cost function subject to a time-dependent constraint on the squared norm of the intermediate update at each node. A recursive strategy for computing the constraint is proposed using side information from the neighboring nodes to further improve the robustness. We also analyze the mean-square convergence behavior of the proposed algorithm. The second proposed algorithm is a modification of the first one based on the dichotomous coordinate descent iterations. It has a performance similar to that of the former, however, its complexity is significantly lower especially when input regressors of agents have a shift structure and it is well suited to practical implementation. Simulations show the superiority of the proposed algorithms over previously reported techniques in various impulsive noise scenarios.
In this work we introduce the graph-theoretic notion of mendability: for each locally checkable graph problem we can define its mending radius, which captures the idea of how far one needs to modify a partial solution...
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ISBN:
(数字)9783031099939
ISBN:
(纸本)9783031099939;9783031099922
In this work we introduce the graph-theoretic notion of mendability: for each locally checkable graph problem we can define its mending radius, which captures the idea of how far one needs to modify a partial solution in order to "patch a hole." We explore how mendability is connected to the existence of efficient algorithms, especially in distributed, parallel, and fault-tolerant settings. It is easy to see that O(1)-mendable problems are also solvable in O(log* n) rounds in the LOCAL model of distributed computing. One of the surprises is that in paths and cycles, a converse also holds in the following sense: if a problem Pi can be solved in O(log* n), there is always a restriction. Pi' subset of Pi that is still efficiently solvable but that is also O(1)-mendable. We also explore the structure of the landscape of mendability. For example, we show that in trees, the mending radius of any locally checkable problem is O(1), Theta(log n), or Theta(n), while in general graphs the structure is much more diverse.
This paper considers a resilient high-dimensional constrained consensus problem and studies a resilient distributed algorithm for complete graphs. For convex constrained sets with a singleton intersection, a sufficien...
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ISBN:
(数字)9781665451963
ISBN:
(纸本)9781665451963
This paper considers a resilient high-dimensional constrained consensus problem and studies a resilient distributed algorithm for complete graphs. For convex constrained sets with a singleton intersection, a sufficient condition on feasibility redundancy and set regularity for reaching a desired consensus exponentially fast in the presence of Byzantine agents is derived, which can be directly applied to polyhedral sets. A necessary condition on feasibility redundancy for the resilient constrained consensus problem to be solvable is also provided.
We study the gathering problem to make multiple agents initially scattered in arbitrary networks gather at a single node. There exist k agents with unique identifiers (IDs) in the network, and f of them are weakly Byz...
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ISBN:
(纸本)9781665475327
We study the gathering problem to make multiple agents initially scattered in arbitrary networks gather at a single node. There exist k agents with unique identifiers (IDs) in the network, and f of them are weakly Byzantine agents, which behave arbitrarily except falsifying their identifiers. The agents behave in synchronous rounds, and each node does not have any memory like a whiteboard. In the literature, two algorithms for solving the gathering problem have been proposed. The first algorithm assumes that the number n of nodes is given to agents and achieves the gathering in O(n(4) center dot vertical bar Lambda(good)vertical bar center dot X(n)) rounds, where vertical bar Lambda(good)vertical bar is the length of the largest ID among non-Byzantine agents, and X(n) is the number of rounds required to explore any network composed of n nodes. The second algorithm assumes that the upper bound N of n is given to agents and at least 4f(2) + 8f + 4 non-Byzantine agents exist, and achieves the gathering in O((f + vertical bar Lambda(good)vertical bar ) center dot X(N)) rounds. Both the algorithms allow agents to start gathering at different times. The first algorithm can terminate agents simultaneously, while the second one not. In this paper, we seek an algorithm that solves the gathering problem efficiently with the intermediate number of non-Byzantine agents since there is a large gap between the numbers of non-Byzantine agents in the previous works. The resultant gathering algorithm works with at least 8f + 8 non-Byzantine agents when agents start the algorithm at the same time, agents may terminate at different times, and N is given to agents. To reduce the number of agents, we propose a new technique to simulate a Byzantine consensus algorithm for synchronous message-passing systems on agent systems. The proposed algorithm achieves the gathering in O(f center dot vertical bar Lambda(good)vertical bar center dot X(N)) rounds. This algorithm is faster than the first
In standard PPP GNSS, residual atmospheric delay (RAD) is estimated independently at each agent by filtering through time, resulting in estimation periods that are too long for vehicular applications. This paper explo...
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ISBN:
(数字)9781665473385
ISBN:
(纸本)9781665473385
In standard PPP GNSS, residual atmospheric delay (RAD) is estimated independently at each agent by filtering through time, resulting in estimation periods that are too long for vehicular applications. This paper explores cooperative estimation of local vertical RAD within a network of interacting agents. After formulating the problem, the paper formulates and compares: the individual solution when there is no inter-agent interactions, the centralized solution when all agents interact with a central node, and four distributed algorithms (i.e., information-weighted consensus (IWC), covariance intersection (CI), Inverse covariance intersection (ICI), and ellipsoidal intersection (EI)). The role of information shared between agents (i.e., cross-correlation) is specifically considered. The article shows that the distributed methods estimate the common RAD faster than independent agents. This increased accuracy enables faster and more accurate estimation of the unique portion of each agent's state (e.g., horizontal position).
Optimal transport (OT) is a framework that allows for optimal allocation of limited resources in a network consisting of sources and targets. The standard OT paradigm does not extend over a large population of differe...
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ISBN:
(纸本)9781665409261
Optimal transport (OT) is a framework that allows for optimal allocation of limited resources in a network consisting of sources and targets. The standard OT paradigm does not extend over a large population of different types. In this paper, we establish a new OT framework with a large and heterogeneous population of target nodes. The heterogeneity of targets is described by a type distribution function. We consider two instances in which the distribution is known and unknown to the sources, i.e., transport designer. For the former case, we propose a fully distributed algorithm to obtain the solution. For the latter case in which the targets' type distribution is not available to the sources, we develop a collaborative learning algorithm to compute the OT scheme efficiently. We evaluate the performance of the proposed learning algorithm using a case study.
In recent years, with the increasingly widespread application of digital technology in various enterprises, the role of databases in various enterprises will also become increasingly important. A lot of useful and cri...
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In recent years, with the increasingly widespread application of digital technology in various enterprises, the role of databases in various enterprises will also become increasingly important. A lot of useful and critical information is often hidden in a large amount of information stored in the database system. How to obtain this information efficiently and accurately has always been a problem, so data mining technology came into being. This paper aims to study the application of association rule algorithm in distributed NewSQL database design. On the basis of analyzing the classical association rule algorithm, the advantages of NewSQL database and the processing process of SQL, the traditional association rule algorithm is improved and a distributed algorithm is designed. NewSQL database, in order to improve the performance of the algorithm for testing, this paper uses multiple computers to form a local area network to simulate the NewSQL database system. The test results show that when the minimum support is low, the execution efficiency of the improved association rule algorithm is slightly better than that of the traditional association rule algorithm
Chatterjee, Gmyr, and Pandurangan [PODC 2020] recently introduced the notion of awake complexity for distributed algorithms, which measures the number of rounds in which a node is awake. In the other rounds, the node ...
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ISBN:
(纸本)9781450391467
Chatterjee, Gmyr, and Pandurangan [PODC 2020] recently introduced the notion of awake complexity for distributed algorithms, which measures the number of rounds in which a node is awake. In the other rounds, the node is sleeping and performs no computation or communication. Measuring the number of awake rounds can be of significance in many settings of distributed computing, e.g., in sensor networks where energy consumption is of concern. In that paper, Chatterjee et al. provide an elegant randomized algorithm for the Maximal Independent Set (MIS) problem that achieves an O(1) node-averaged awake complexity. That is, the average awake time among the nodes is O(1) rounds. However, to achieve that, the algorithm sacrifices the more standard round complexity measure from the well-known O(log n) bound of MIS, due to Luby [STOC'85], to O(log(3.41)n) rounds. Our first contribution is to present a simple randomized distributed MIS algorithm that, with high probability, has O( 1) nodeaveraged awake complexity and O (log n) worst-case round complexity. Our second, and more technical contribution, is to show algorithms with the same O(1) node-averaged awake complexity and O(log n) worst-case round complexity for 1 +epsilon approximation of maximum matching and 2 +epsilon approximation of minimum vertex cover, where.. denotes an arbitrary small positive constant.
This paper considers standard T-interval dynamic networks, where the N nodes in the network proceed in lock-step rounds, and where the topology of the network can change arbitrarily from round to round, as determined ...
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ISBN:
(纸本)9781450391467
This paper considers standard T-interval dynamic networks, where the N nodes in the network proceed in lock-step rounds, and where the topology of the network can change arbitrarily from round to round, as determined by an adversary. The adversary promises that in every T consecutive rounds, the T (potentially different) topologies in those.. rounds contain a common connected subgraph that spans all nodes. Within such a context, we propose novel algorithms for solving some fundamental distributed computing problems such as Count/Consensus/Max. Our algorithms are the first algorithms whose complexities do not contain an Omega(N) term, under constant T values. Previous sublinear algorithms require significantly larger T values.
Among fundamental problems in the context of distributed computing by mobile robots, the Pattern Formation (PF) is certainly the most representative. Given a multi-set F of points in the Euclidean plane and a set R of...
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Among fundamental problems in the context of distributed computing by mobile robots, the Pattern Formation (PF) is certainly the most representative. Given a multi-set F of points in the Euclidean plane and a set R of robots such that vertical bar R vertical bar=vertical bar F vertical bar , PF asks for a distributed algorithm that moves robots so as to reach a configuration similar to F . Similarity means that robots must be disposed as F regardless of translations, rotations, reflections, uniform scalings. In the literature, PF has been approached by assuming asynchronous robots endowed with chirality, i.e. a common handedness. The proposed algorithm along with its correctness proof turned out to be flawed. In this paper, we propose a new algorithm on the basis of a recent methodology studied for approaching problems in the context of distributed computing by mobile robots. According to this methodology, the correctness proof results to be well-structured and less prone to faulty arguments. We then ultimately characterize PF when chirality is assumed.
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