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COMPGEOM
2009
ACM
15 years 4 months ago
Zigzag persistent homology and real-valued functions
We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derived from the levelsets of a real-valued function on a top...
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov
CGO
2007
IEEE
15 years 4 months ago
Iterative Optimization in the Polyhedral Model: Part I, One-Dimensional Time
Emerging microprocessors offer unprecedented parallel computing capabilities and deeper memory hierarchies, increasing the importance of loop transformations in optimizing compile...
Louis-Noël Pouchet, Cédric Bastoul, Al...
COCOON
2007
Springer
15 years 3 months ago
Colored Simultaneous Geometric Embeddings
We introduce the concept of colored simultaneous geometric embeddings as a generalization of simultaneous graph embeddings with and without mapping. We show that there exists a uni...
Ulrik Brandes, Cesim Erten, J. Joseph Fowler, Fabr...
COCOON
2007
Springer
15 years 3 months ago
Online Interval Scheduling: Randomized and Multiprocessor Cases
We consider the problem of scheduling a set of equal-length intervals arriving online, where each interval is associated with a weight and the objective is to maximize the total we...
Stanley P. Y. Fung, Chung Keung Poon, Feifeng Zhen...
COCOON
2007
Springer
15 years 3 months ago
Streaming Algorithms Measured in Terms of the Computed Quantity
The last decade witnessed the extensive studies of algorithms for data streams. In this model, the input is given as a sequence of items passing only once or a few times, and we ar...
Shengyu Zhang