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Page 4930 of Mathematical Reviews Vol. , Issue 99g [page]

1999 Mathematical Reviews  
99¢:68020 99¢:68020 68M10 Sadayappan, P. (1-OHS-C; Columbus, OH); Ercal, F. (1-MOR-C; Rolla, MO); Ramanujam, J. (1-LAS-EL; Baton Rouge, LA) Partitioning graphs on message-passing machines by pairwise mincut  ...  , known as partitioning by pairwise mincut (PPM).  ... 

Graph partition strategies for generalized mean field inference [article]

Eric P. Xing, Michael I. Jordan, Stuart Russell
2012 arXiv   pre-print
We provide a formal analysis of the relationship between the graph cut and the GMF approximation, and explore several graph partition strategies empirically.  ...  In this paper, we present a novel combination of graph partitioning algorithms with a generalized mean field (GMF) inference algorithm.  ...  In the following, the set Sj , ∀j: we explore several graph partitioning strategies on ran-  dom graphs with pairwise potentials (each clique con-  ... 
arXiv:1207.4156v1 fatcat:blwdiikxvzcnfl3pkvvtubmtai

An improvement of Spectral Clustering via Message Passing and Density Sensitive Similarity

Lijuan Wang, Shifei Ding, Hongjie Jia
2019 IEEE Access  
Spectral clustering transforms the data clustering problem into a graph-partitioning problem and classifies data points by finding the optimal sub-graphs.  ...  Therefore, this paper presents an algorithm on the basis of message passing, which makes use of a density adaptive similarity measure, describing the relations between data points and obtaining high-quality  ...  There are many traditional graph partitioning methods, such as MinCut, RatioCut, the normalized cut Ncut, and Min-Max cut [5] .  ... 
doi:10.1109/access.2019.2929948 fatcat:6hn7t7gymvdhfnkpbd6w5aj5ny

Measuring uncertainty in graph cut solutions

Pushmeet Kohli, Philip H.S. Torr
2008 Computer Vision and Image Understanding  
In this paper we answer this particular question by showing how the min-marginals associated with the label assignments of a random field can be efficiently computed using a new algorithm based on dynamic  ...  The min-marginal energies obtained by our proposed algorithm are exact, as opposed to the ones obtained from other inference algorithms like loopy belief propagation and generalized belief propagation.  ...  This work was supported by the epsrc research grant GR/T21790/01(P) and the ist Programme of the European Community, under the PASCAL Network of Excellence, ist-2002-506778.  ... 
doi:10.1016/j.cviu.2008.07.002 fatcat:5zrk5bb7qbav7auvklk5ljkgna

MAP Estimation of Semi-Metric MRFs via Hierarchical Graph Cuts [article]

M. Pawan Kumar, Daphne Koller
2012 arXiv   pre-print
Unlike the existing LP relaxation solvers, e.g. interior-point algorithms or tree-reweighted message passing, our method is significantly faster as it uses only the efficient st-MINCUT algorithm in its  ...  For this problem, we propose an accurate hierarchical move making strategy where each move is computed efficiently by solving an st-MINCUT problem.  ...  The first author is funded by the DARPA grant SA4996-10929-5.  ... 
arXiv:1205.2633v1 fatcat:epyqgywfafaqvl7lrqy4aoytpq

Inference in Sparse Graphs with Pairwise Measurements and Side Information [article]

Dylan J. Foster, Daniel Reichman, Karthik Sridharan
2018 arXiv   pre-print
We present new algorithms and a sharp finite-sample analysis for this problem on trees and sparse graphs with poor expansion properties such as hypergrids and ring lattices.  ...  For two-dimensional grids, our results improve over Globerson et al. (2015) by obtaining optimal recovery in the constant-height regime.  ...  -with message passing.  ... 
arXiv:1703.02728v3 fatcat:wsqawom5vbdsncvx3wjfrudbje

Dynamic Graph Cuts and Their Applications in Computer Vision [chapter]

Pushmeet Kohli, Philip H. S. Torr
2010 Studies in Computational Intelligence  
obtained by minimizing energy functions.  ...  The primary reason for this rising popularity has been the successes of efficient graph cut based minimization algorithms in solving many low level vision problems such as image segmentation, object reconstruction  ...  Observe that although the cost of the st-mincut in G and G 1 is different, the st-mincut includes the same edges for both graphs and thus induces the same partitioning of the graph.  ... 
doi:10.1007/978-3-642-12848-6_3 fatcat:sfd3k4rfargcfoog7f2r2yq2s4

Distributed Seams for Gigapixel Panoramas

Sujin Philip, Brian Summa, Julien Tierny, Peer-Timo Bremer, Valerio Pascucci
2015 IEEE Transactions on Visualization and Computer Graphics  
Current techniques based on multi-labeling Graph Cuts are too slow and memory intensive for gigapixel sized panoramas.  ...  Our technique improves the time required to compute seams for gigapixel imagery from many hours (or even days) to just a few minutes, while still producing boundaries with energy that is on-par with Graph  ...  The sending and receiving of messages are handled by a message passing engine, which internally uses MPI.  ... 
doi:10.1109/tvcg.2014.2366128 pmid:26357067 fatcat:ri3n7jhzvbfr3butrxxq2jwz2y

Topology-aware task mapping for reducing communication contention on large parallel machines

T. Agarwal, A. Sharma, A. Laxmikant, L.V. Kale
2006 Proceedings 20th IEEE International Parallel & Distributed Processing Symposium  
However, for torus and grid networks now being used in large machines such as BlueGene/L and the Cray XT3, such contention becomes an issue.  ...  We quantify the effect of this contention with benchmarks that vary the number of hops traveled by each communicated byte.  ...  Even for a relatively moderate machine size messages might travel a large number of hops on average.  ... 
doi:10.1109/ipdps.2006.1639379 dblp:conf/ipps/AgarwalSLK06 fatcat:ya34op3xpbb6znqliew3htrlde

A Distributed Mincut/Maxflow Algorithm Combining Path Augmentation and Push-Relabel [chapter]

Alexander Shekhovtsov, Václav Hlavác̆
2011 Lecture Notes in Computer Science  
network constructed by (extended) breadth first search" -Y.  ...  fax +420 2 2435 7385, phone +420 2 2435 7637, www: http://cmp.felk.cvut.cz "Needless to say, their version not only has its own real beauty, but is somewhat "sexy" running depth first search on the layered  ...  Additionally, the gap heuristic has to take into account all nodes, unlike only the boundary nodes in S-ARD. msg -passing the messages (updating flow and labels on the boundary), discharge -work done by  ... 
doi:10.1007/978-3-642-23094-3_1 fatcat:cg66ldrypbagxddpktg7cfaosq

A Distributed Mincut/Maxflow Algorithm Combining Path Augmentation and Push-Relabel [article]

Alexander Shekhovtsov, Vaclav Hlavac
2011 arXiv   pre-print
The interaction between regions is considered expensive (regions are loaded into the memory one-by-one or located on separate machines in a network).  ...  The algorithm works in sweeps - passes over all regions. Let B be the set of vertices incident to inter-region edges of the graph.  ...  Additionally, the gap heuristic has to take into account all nodes, unlike only the boundary nodes in S-ARD. msg -passing the messages (updating flow and labels on the boundary), discharge -work done by  ... 
arXiv:1109.1146v1 fatcat:cnu35aurk5e4rnozvdctddxgx4

Multi-dimensional Parametric Mincuts for Constrained MAP Inference [article]

Yongsub Lim, Kyomin Jung, Pushmeet Kohli
2013 arXiv   pre-print
In this paper, we propose novel algorithms for inferring the Maximum a Posteriori (MAP) solution of discrete pairwise random field models under multiple constraints.  ...  We show how this constrained discrete optimization problem can be formulated as a multi-dimensional parametric mincut problem via its Lagrangian dual, and prove that our algorithm isolates all constraint  ...  Further, a number of heuristics or approximation algorithms based on belief propagation [34] , tree reweighted message passing [33] , and graph-cut [3] have also been proposed for the problem.  ... 
arXiv:1307.7793v1 fatcat:dfb3er6i5jaetmk7ntjyeadkdu

Scalable performance of ScaleGraph for large scale graph analysis

Miyuru Dayarathna, Charuwat Houngkaew, Hidefumi Ogata, Toyotaro Suzumura
2012 2012 19th International Conference on High Performance Computing  
calculation) on Tsubame 2.0 distributed memory environment.  ...  We make scalability evaluation by analyzing a synthetic Kronecker graph with 40.3 million edges (for all the three algorithms), and a real social network with 69 million edges (for degree distribution  ...  ACKNOWLEDGMENT This research was supported by the Japan Science and Technology Agency's CREST project titled "Development of System Software Technologies for post-Peta Scale High Performance Computing"  ... 
doi:10.1109/hipc.2012.6507498 dblp:conf/hipc/DayarathnaHOS12 fatcat:bgptnzn26bae7m3mzdrisdnggm

Structured Learning and Prediction in Computer Vision

Sebastian Nowozin
2010 Foundations and Trends in Computer Graphics and Vision  
Note that all edges now pass the message of type opposite of what they passed in the leaf-to-root phase. Thus, for each edge both message types are available.  ...  Optimizing within N α (y) can be posed as a linear s − t-mincut problem on a suitably constructed directed graph, details can be found in .  ...  However, it has a relatively weak convergence rate of O( √ ε) [Nedic and Bertsekas, 2000] , i.e. reducing the distance between w cur and w * by a factor of ε can require O( 1 ε 2 ) iterations.  ... 
doi:10.1561/0600000033 fatcat:zaj7fmxw4ngj7f7x63js7dkm2u

Benefits of Topology Aware Mapping for Mesh Interconnects

Abhinav Bhatelé, Laxmikant V. Kalé
2008 Parallel Processing Letters  
By co-locating communicating tasks on nearby processors, the distance traveled by messages and hence the communication traffic can be minimized, thereby reducing communication latency and contention on  ...  Applications running on these machines can benefit from topology-awareness while mapping tasks to processors at runtime.  ...  This research also used running time on Blue Gene/P of the Argonne Leadership Computing Facility at Argonne National Laboratory, which is supported by the Office of Science of the U.S.  ... 
doi:10.1142/s0129626408003569 fatcat:xanlzwzqvngrxaj6bnptsvlmci
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