Fast Mixing of Parallel Glauber Dynamics and Low-Delay CSMA Scheduling
نویسندگان
چکیده
منابع مشابه
Fast Mux-based Adder with Low Delay and Low PDP
Adders, as one of the major components of digital computing systems, have a strong influence on their performance. There are various types of adders, each of which uses a different algorithm to do addition with a certain delay. In addition to low computational delay, minimizing power consumption is also a main priority in adder circuit design. In this paper, the proposed adder is divided into s...
متن کاملMixing Time of Glauber Dynamics With Parallel Updates and Heterogeneous Fugacities
Glauber dynamics is a powerful tool to generate randomized, approximate solutions to combinatorially difficult problems. Applications include Markov Chain Monte Carlo (MCMC) simulation and distributed scheduling for wireless networks. In this paper, we derive bounds on the mixing time of a generalization of Glauber dynamics where multiple vertices are allowed to update their states in parallel ...
متن کاملFast Initial Conditions for Glauber Dynamics
In the study of Markov chain mixing times, analysis has centered on the performance from a worst-case starting state. Here, in the context of Glauber dynamics for the one-dimensional Ising model, we show how new ideas from information percolation can be used to establish mixing times from other starting states. At high temperatures we show that the alternating initial condition is asymptoticall...
متن کاملGlauber dynamics on nonamenable graphs: boundary conditions and mixing time
We study the stochastic Ising model on finite graphs with n vertices and bounded degree and analyze the effect of boundary conditions on the mixing time. We show that for all low enough temperatures, the spectral gap of the dynamics with (+)-boundary condition on a class of nonamenable graphs, is strictly positive uniformly in n. This implies that the mixing time grows at most linearly in n. Th...
متن کاملGlauber Dynamics on Hyperbolic Graphs: Boundary Conditions and Mixing Time
We study a continuous time Glauber dynamics reversible with respect to the Ising model on hyperbolic graphs and analyze the effect of boundary conditions on the mixing time. Specifically, we consider the dynamics on an n-vertex ball of the hyperbolic graph H(v, s), where v is the number of neighbors of each vertex and s is the number of sides of each face, conditioned on having (+)-boundary. If...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2012
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2012.2204032