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CORR
2011
Springer
198views Education» more  CORR 2011»
13 years 4 months ago
Kron Reduction of Graphs with Applications to Electrical Networks
Abstract. Consider a weighted and undirected graph, possibly with self-loops, and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements correspon...
Florian Dörfler, Francesco Bullo
ECCC
2011
202views ECommerce» more  ECCC 2011»
13 years 4 months ago
New strong direct product results in communication complexity
We show two new direct product results in two different models of communication complexity. Our first result is in the model of one-way public-coin model. Let f ⊆ X × Y × Z ...
Rahul Jain
IANDC
2011
129views more  IANDC 2011»
13 years 4 months ago
Rigid tree automata and applications
We introduce the class of Rigid Tree Automata (RTA), an extension of standard bottom-up automata on ranked trees with distinguished states called rigid. Rigid states define a res...
Florent Jacquemard, Francis Klay, Camille Vacher
MMAS
2011
Springer
13 years 4 months ago
Scalable Bayesian Reduced-Order Models for Simulating High-Dimensional Multiscale Dynamical Systems
While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and thei...
Phaedon-Stelios Koutsourelakis, Elias Bilionis
MP
2011
13 years 4 months ago
Statistical ranking and combinatorial Hodge theory
We propose a number of techniques for obtaining a global ranking from data that may be incomplete and imbalanced — characteristics that are almost universal to modern datasets co...
Xiaoye Jiang, Lek-Heng Lim, Yuan Yao, Yinyu Ye
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