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Loopy belief propagation for approximate inference: An empirical study. In:

by Kevin P Murphy , Yair Weiss , Michael I Jordan - Proceedings of Uncertainty in AI, , 1999
"... Abstract Recently, researchers have demonstrated that "loopy belief propagation" -the use of Pearl's polytree algorithm in a Bayesian network with loops -can perform well in the context of error-correcting codes. The most dramatic instance of this is the near Shannon-limit performanc ..."
Abstract - Cited by 676 (15 self) - Add to MetaCart
nothing directly to do with coding or decoding will show that in some sense belief propagation "converges with high probability to a near-optimum value" of the desired belief on a class of loopy DAGs Progress in the analysis of loopy belief propagation has been made for the case of networks

Probabilistic Analysis of Mean-Field Games

by René Carmona, François Delarue , 2013
"... The purpose of this paper is to provide a complete probabilistic analysis of a large class of stochastic differential games with mean field interactions. We implement the Mean-Field Game strategy developed analytically by Lasry and Lions in a purely probabilistic framework, relying on tailor-made fo ..."
Abstract - Cited by 26 (5 self) - Add to MetaCart
The purpose of this paper is to provide a complete probabilistic analysis of a large class of stochastic differential games with mean field interactions. We implement the Mean-Field Game strategy developed analytically by Lasry and Lions in a purely probabilistic framework, relying on tailor

Bounds on the deviation of discrete-time Markov chains from their mean-field model

by Luca Bortolussi A, Richard A. Hayden C
"... We consider a generic mean-field scenario, in which a sequence of population models, described by discretetime Markov chains (DTMCs), converges to a deterministic limit in discrete time. Under the assumption that the limit has a globally attracting equilibrium, the steady states of the sequence of D ..."
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We consider a generic mean-field scenario, in which a sequence of population models, described by discretetime Markov chains (DTMCs), converges to a deterministic limit in discrete time. Under the assumption that the limit has a globally attracting equilibrium, the steady states of the sequence

Stochastic Modeling of Large-Scale Solid-State Storage Systems: Analysis, Design Tradeoffs and Optimization

by Yongkun Li, Patrick P. C. Lee, John C. S. Lui
"... Solid state drives (SSDs) have seen wide deployment in mobiles, desktops, and data centers due to their high I/O performance and low energy consumption. As SSDs write data out-of-place, garbage collection (GC) is required to erase and reclaim space with invalid data. However, GC poses additional wri ..."
Abstract - Cited by 7 (2 self) - Add to MetaCart
of any GC algorithm. We first present a stochastic Markov chain model that captures the I/O dynamics of large-scale SSDs, and adapt the mean-field approach to derive the asymptotic steady-state performance. We further prove the model convergence and generalize the model for all types of workload

Mean field analysis for inhomogeneous bike sharing systems

by Christine Fricker, Nicolas Gast, Hanene Mohamed - In 23rd Intern. Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA’12 , 2012
"... In the paper, bike sharing systems with stations having a finite capacity are studied as large stochastic networks. The inhomogeneity is modeled by clusters. We use a mean field limit to derive the limiting stationary distribution of the number of bikes at the stations. This approach is an alternati ..."
Abstract - Cited by 8 (3 self) - Add to MetaCart
In the paper, bike sharing systems with stations having a finite capacity are studied as large stochastic networks. The inhomogeneity is modeled by clusters. We use a mean field limit to derive the limiting stationary distribution of the number of bikes at the stations. This approach

Self-determination and persistence in a real-life setting: Toward a motivational model of high school dropout.

by Robert J Vallerand , Michelle S Fbrtier , Frederic Guay - Journal of Personality and Social Psychology, , 1997
"... The purpose of this study was to propose and test a motivational model of high school dropout. The model posits that teachers, parents, and the school administration's behaviors toward students influence students' perceptions of competence and autonomy. The less autonomy supportive the so ..."
Abstract - Cited by 183 (19 self) - Add to MetaCart
intentions to drop out of high school, which are later implemented, leading to actual dropout behavior. This model was tested with high school students (N = 4,537) by means of a prospective design. Results from analyses of variance and a structural equation modeling analysis (with L1SREL) were found

Noname manuscript No. (will be inserted by the editor) Mean-field Analysis of Hybrid Markov Population Models with Time-inhomogeneous Rates

by Anton Stefanek, Richard A. Hayden, Jeremy T. Bradley
"... the date of receipt and acceptance should be inserted later Abstract We consider a hybrid extension of Population Continuous Time Markov Chains (PCTMC) – a class of Markov processes capturing interactions between large groups of identically behaved agents. We augment the discrete state space of a P ..."
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. We extend mean-field techniques for PCTMCs and show how to derive a system of integral equations that approximate the evolution of means and higher-order moments of populations and continuous variables in a hybrid PCTMC. We prove first- and second-order convergence results that justify

Analysis of Long-Running Replicated Systems

by Sriram Ramabhadran , et al. - IN PROC. OF THE 25TH IEEE ANNUAL CONFERENCE ON COMPUTER COMMUNICATIONS (INFOCOM , 2006
"... We address the problem of using replication to reliably maintain state in a distributed system for time spans that far exceed the lifetimes of individual replicas. This scenario is relevant for any system comprised of a potentially large and selectable number of replicated components, each of which ..."
Abstract - Cited by 50 (4 self) - Add to MetaCart
We address the problem of using replication to reliably maintain state in a distributed system for time spans that far exceed the lifetimes of individual replicas. This scenario is relevant for any system comprised of a potentially large and selectable number of replicated components, each of which

Replication in Ficus Distributed File Systems

by John S. Heidemann, et al. - PROCEEDINGS OF THE WORKSHOP ON MANAGEMENT OF REPLICATED DATA, IEEE , 1990
"... Ficus is a replicated general filing environment for Unix intended to scale to very large (nationwide) networks. The system employs an optimistic "one copy availability" model in which conflicting updates to the file system's directory information are automatically reconciled, while c ..."
Abstract - Cited by 41 (2 self) - Add to MetaCart
Ficus is a replicated general filing environment for Unix intended to scale to very large (nationwide) networks. The system employs an optimistic "one copy availability" model in which conflicting updates to the file system's directory information are automatically reconciled, while

On parametric empirical Bayes methods for comparing multiple groups using replicated gene expression profiles

by C.M. Kendziorski, M.A. Newton, H. Lan, M.N. Gould
"... DNA microarrays provide for unprecedented, large-scale views of gene expression and, as a result, have emerged as a fundamental measurement tool in the study of diverse biological systems. Statistical questions abound; but many traditional data analytic approaches do not apply, in large part becaus ..."
Abstract - Cited by 115 (10 self) - Add to MetaCart
DNA microarrays provide for unprecedented, large-scale views of gene expression and, as a result, have emerged as a fundamental measurement tool in the study of diverse biological systems. Statistical questions abound; but many traditional data analytic approaches do not apply, in large part
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