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Learning from Label Proportions (LLP) is a learning setting, where the training data is provided in groups, or "bags", and only the proportion of each class in each bag is known.
On the uniform convergence of relative frequencies of events to their probabilities
Vladimir N Vapnik and A Ya Chervonenkis · 1971
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On the density of families of sets
Norbert Sauer · 1972
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A generalization of Sauer’s Lemma
David Haussler and Philip M Long · 1995
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Solving the multiple instance problem with axis-parallel rectangles
Thomas G Dietterich, Richard H Lathrop, and Tomás Lozano-Pérez · 1997
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A note on learning from multiple-instance examples
Avrim Blum and Adam Kalai · 1998
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Covering number bounds of certain regularized linear function classes
Tong Zhang · 2002
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Rademacher and gaussian complexities: Risk bounds and structural results
Peter L Bartlett and Shahar Mendelson · 2003
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Is random model better? on its accuracy and efficiency
W. Fan, H. Wang, P.S Yu, and S. Ma · 2003
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Learning about individuals from group statistics
Hendrik Kuck and Nando de Freitas · 2005
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Learning from aggregate views
B.C. Chen, L. Chen, R. Ramakrishnan, and D.R. Musicant · 2006
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Calibrating noise to sensitivity in private data analysis
C. Dwork, F. McSherry, K. Nissim, and A. Smith · 2006
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Differential privacy
Cynthia Dwork · 2006
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Supervised learning by training on aggregate outputs
D.R. Musicant, J.M. Christensen, and J.F. Olson · 2007
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Neural network learning: Theoretical foundations
Martin Anthony and Peter L Bartlett · 2009
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Estimating labels from label proportions
N. Quadrianto, A.J. Smola, T.S. Caetano, and Q.V. Le · 2009
Cited alongside, same era.
SVM classifier estimation from group probabilities
Partial Information and Distribution-Dependence in Supervised Learning Models
Sivan Sabato · 2012
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Multi-instance learning with any hypothesis class
Sivan Sabato and Naftali Tishby · 2012
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Differentially-private learning of low dimensional manifolds
A. Choromanska, K. Choromanski, G. Jagannathan, and C. Monteleoni · 2013
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Adaptive anonymity via b
Krzysztof Choromanski, Tony Jebara, and Kui Tang · 2013
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∝ \propto SVM for learning with label proportions
F. X. Yu, D. Liu, Sanjiv K., T. Jebara, and S.-F. Chang · 2013
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Object-based visual sentiment concept analysis and application
T. Chen, F. X. Yu, J. Chen, Y. Cui, Y.-Y. Chen, and S.-F. Chang · 2014
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S. Rüeping · 2010
Cited alongside, same era.
Multiple instance learning with manifold bags
Boris Babenko, Nakul Verma, Piotr Dollár, and Serge J Belongie · 2011
Cited alongside, same era.
A practical differentially private random decision tree classifier
G. Jagannathan, K. Pillaipakkamnatt, and R. N. Wright · 2012
Cited alongside, same era.
Video event detection by inferring temporal instance labels
K.-T. Lai, F. X. Yu, M.-S. Chen, and S.-F. Chang · 2014
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Modeling attributes from category-attribute proportions
F. X. Yu, L. Cao, M. Merler, T. Chen, J.R. Smith, and S.-F. Chang · 2014
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