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Local homology transfer and stratification learning

by Paul Bendich, Bei Wang, Sayan Mukherjee - In ACMSIAM Sympos. Discrete Alg , 2012
"... The objective of this paper is to show that point cloud data can under certain circumstances be clustered by strata in a plausible way. For our purposes, we consider a stratified space to be a collection of manifolds of different dimensions which are glued together in a locally trivial manner inside ..."
Abstract - Cited by 13 (5 self) - Add to MetaCart
inside some Euclidean space. To adapt this abstract definition to the world of noise, we first define a multi-scale notion of stratified spaces, providing a stratification at different scales which are indexed by a radius parameter. We then use methods derived from kernel and cokernel persistent homology

Towards Stratification Learning through Homology Inference

by Paul Bendich, Bei Wang, Sayan Mukherjee , 2010
"... A topological approach to stratification learning is developed for point cloud data drawn from a stratified space. Given such data, our objective is to infer which points belong to the same strata. First we define a multi-scale notion of a stratified space, giving a stratification for each radius le ..."
Abstract - Cited by 7 (4 self) - Add to MetaCart
A topological approach to stratification learning is developed for point cloud data drawn from a stratified space. Given such data, our objective is to infer which points belong to the same strata. First we define a multi-scale notion of a stratified space, giving a stratification for each radius

Translated Poisson mixture model for stratification learning

by Gloria Haro, Gregory Randal, Guillermo Sapiro, Gloria Haro, Gregory Randall, Guillermo Sapiro - Int. J. Comput. Vision , 2000
"... A framework for the regularized and robust estimation of non-uniform dimensionality and density in high dimensional noisy data is introduced in this work. This leads to learning stratifications, that is, mixture of manifolds representing different characteristics and complexities in the data set. Th ..."
Abstract - Cited by 24 (2 self) - Add to MetaCart
A framework for the regularized and robust estimation of non-uniform dimensionality and density in high dimensional noisy data is introduced in this work. This leads to learning stratifications, that is, mixture of manifolds representing different characteristics and complexities in the data set

Stratification learning: Detecting mixed density and dimensionality in high dimensional point clouds

by Gregory Randall, Gloria Haro, Gloria Haro, Gregory R, Guillermo Sapiro, Guillermo Sapiro - In Advances in NIPS 19 , 2006
"... The study of point cloud data sampled from a stratification, a collection of manifolds with possible different dimensions, is pursued in this paper. We present a technique for simultaneously soft clustering and estimating the mixed dimensionality and density of such structures. The framework is base ..."
Abstract - Cited by 20 (2 self) - Add to MetaCart
is based on a maximum likelihood estimation of a Poisson mixture model. The presentation of the approach is completed with artificial and real examples demonstrating the importance of extending manifold learning to stratification learning. 1

MetaCost: A General Method for Making Classifiers Cost-Sensitive

by Pedro Domingos - In Proceedings of the Fifth International Conference on Knowledge Discovery and Data Mining , 1999
"... Research in machine learning, statistics and related fields has produced a wide variety of algorithms for classification. However, most of these algorithms assume that all errors have the same cost, which is seldom the case in KDD prob- lems. Individually making each classification learner costsensi ..."
Abstract - Cited by 415 (4 self) - Add to MetaCart
Research in machine learning, statistics and related fields has produced a wide variety of algorithms for classification. However, most of these algorithms assume that all errors have the same cost, which is seldom the case in KDD prob- lems. Individually making each classification learner

stratification correction

by Mohsen Hajiloo, Yadav Sapkota, John R Mackey, Paula Robson, Russell Greiner, Sambasivarao Damaraju
"... However, ETHNOPRED was unable to produce a classifier that can accurately distinguish Chinese in Beijing vs. Chinese in Denver. Conclusions: ETHNOPRED is a novel technique for producing classifiers that can identify an individual’s continental and sub-continental heritage, based on a small number of ..."
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of SNPs. We show that its learned classifiers are simple, cost-efficient, accurate, transparent, flexible, fast, applicable to large scale GWASs, and robust to missing values.

Young Graduates and Lifelong Learning: The Impact of Institutional Stratification

by Rachel Brooks
"... The National Adult Learning Survey and the 1970 British Cohort Study have pointed to considerable differences by level of educational qualification in attitude to and participation in adult or ‘lifelong ’ learning.They suggest that graduates are more likely than other groups to engage in adult learn ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
The National Adult Learning Survey and the 1970 British Cohort Study have pointed to considerable differences by level of educational qualification in attitude to and participation in adult or ‘lifelong ’ learning.They suggest that graduates are more likely than other groups to engage in adult

Group differences in standardized testing and social stratification

by Wayne J. Camara, Amy Elizabeth Schmidt - College Board Report , 1999
"... Researchers are encouraged to freely express their professional judgment. Therefore, points of view or opinions stated in College Board Reports do not necessarily represent official College Board position or policy. Acknowledgments We would like to thank Thanos Patelis, Scott Miller, Brian O’Reilly ..."
Abstract - Cited by 32 (2 self) - Add to MetaCart
of teaching and learning and sufficient financial resources so that every student has the opportunity to succeed in college and work. The College Board champions—by means of superior research; curricular development; assessment; guidance, placement, and admission information; professional development; forums

An Abstract Approach to Stratification in Linear Logic

by Pierre Boudes , Damiano Mazza , Lorenzo Tortora De Falco
"... Abstract We study the notion of stratification, as used in subsystems of linear logic with low complexity bounds on the cut-elimination procedure (the so-called "light" subsystems), from an abstract point of view, introducing a logical system in which stratification is handled by a separa ..."
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separate modality. This modality, which is a generalization of the paragraph modality of Girard's light linear logic, arises from a general categorical construction applicable to all models of linear logic. We thus learn that stratification may be formulated independently of exponential modalities

Stratification and Isotope Separation in CP Stars ⋆

by C. R. Cowley, S. Hubrig, J. F. González , 903
"... Accepted. Received; in original form We investigate the elemental and isotopic stratification in the atmospheres of selected chemically peculiar (CP) stars of the upper main sequence. Reconfiguration of the UVES spectrograph in 2004 has made it possible to examine all three lines of the Ca ii infrar ..."
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Accepted. Received; in original form We investigate the elemental and isotopic stratification in the atmospheres of selected chemically peculiar (CP) stars of the upper main sequence. Reconfiguration of the UVES spectrograph in 2004 has made it possible to examine all three lines of the Ca ii
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