Personal profile
Author IDs
ORCID iD: 0000-0002-6311-0667
Scopus Author ID: 56572559000
Impact
Qualifications (Brief)
PhD – University of Genova, Italy
Biography
Dr Andrea Caponnetto's main research interests include Statistical Learning Theory, Inverse Problems and Empirical Processes. His recent research projects are aimed at the mathematical understanding of learning algorithms in the non-parametric framework, in the supervised, semi-supervised and multi-task settings. Another guiding line of his research activity is highlighting the strong connection between certain widely used learning algorithms and regularization techniques developed in the context of the ill-posed inverse problems.
Activities
Reports
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De Vito E., Rosasco L., Caponnetto A., Piana M., Verri A.Representer Theorem for Convex Loss Fuctions.DISI-TR-03-13, DISI, Università di Genova, 2003.
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De Vito E., Rosasco L., Caponnetto A., Piana M., Verri A.Minimization of Tikhonov Functional: the Continuous Setting.DISI-TR-03-14, DISI, Università di Genova, 2003.
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Caponnetto A., Rosasco L.Non Standard Support Vector Machines and Regularization Networks. [pdf]DISI-TR-04-03, DISI, Università di Genova, 2004.
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Caponnetto A., Carmeli C., De Vito E., Rosasco L., Toigo A.Discretization Error Analysis for Tikhonov Regularization. [pdf]DISI-TR-04-04, DISI, Università di Genova, 2004.
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Caponnetto A., De Vito E.Fast Rates for Regularized Least-squares Algorithm. [pdf]CBCL Paper #248/AI Memo #2005-013, Massachusetts Institute of Technology, Cambridge, MA, April, 2005.
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De Vito E., Caponnetto A.Risk Bounds for Regularized Least-Squares Algorithm with Operator-Valued Kernels. [pdf]CBCL Paper #249/AI Memo #2005-015, Massachusetts Institute of Technology, Cambridge, MA, May, 2005.
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Caponnetto A., Rosasco L., De Vito E., Verri A.Empirical Effective Dimension and Optimal Rates for Regularized Least-Squares Algorithm. [pdf]CBCL Paper #252/AI Memo #2005-019, Massachusetts Institute of Technology, Cambridge, MA, May 2005.
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Caponnetto A., Rakhlin A.Some Properties of Empirical Risk Minimization over Donsker Classes. [pdf]CBCL Paper #250/AI Memo #2005-018, Massachusetts Institute of Technology, Cambridge, MA, May 2005.
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Caponnetto A.A Note on the Role of Squared Loss in Regression. [pdf]CBCL Paper, Massachusetts Institute of Technology, Cambridge, MA, June 2005.
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Yao Y., Rosasco L., Caponnetto A.On Early Stopping in Gradient Descent Boosting.TR-2005-09, Department of Computer Science, The University of Chicago, Communicated by Partha Niyogi, 27 June 2005.
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Caponnetto A.Optimal Rates for Regularization Operators in Learning Theory. [pdf]CBCL Paper #264/ CSAIL-TR #2006-062, Massachusetts Institute of Technology, Cambridge, MA, 2006.
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Caponnetto A., Yao Y.Adaptation for Regularization Operators in Learning Theory. [pdf]CBCL Paper #265/ CSAIL-TR #2006-063, Massachusetts Institute of Technology, Cambridge, MA, 2006.
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Smale S., Poggio T., Caponnetto A., Bouvrie J.Derived Distance: towards a mathematical theory of visual cortex. [pdf]CBCL Paper, Massachusetts Institute of Technology, Cambridge, MA, November, 2007.
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Caponnetto A., Poggio T., Smale S.On a model of visual cortex: learning invariance and selectivity from image sequences. [pdf]CBCL Paper #272/ CSAIL-TR #2008-030, Massachusetts Institute of Technology, Cambridge, MA, April 4, 2008.
Research Interests/Areas
- Learning Theory
- Inverse Problems
- Empirical Processes
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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SDG 11 Sustainable Cities and Communities
Fingerprint
- 1 Similar Profiles
Research output
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A note on stability of error bounds in statistical learning theory
Li, M. & Caponnetto, A., Oct 2011, In: Analysis and Applications. 9, 4, p. 369-382Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Cross-validation based adaptation for regularization operators in learning theory
CAPONNETTO, A. & YAO, Y., Apr 2010, In: Analysis and Applications. 8, 2, p. 161-183Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
75 Link opens in a new tab Citations (Scopus) -
Mathematics of the neural response
Smale, S., Rosasco, L., Bouvrie, J., Caponnetto, A. & Poggio, T., Jan 2010, In: Foundations of Computational Mathematics. 10, 1, p. 67-91Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
41 Link opens in a new tab Citations (Scopus) -
Entropy conditions for L r -convergence of empirical processes
Caponnetto, A., De Vito, E. & Pontil, M., May 2009, In: Advances in Computational Mathematics. 30, 4, p. 355-373Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Universal multi-task Kernels
Caponnetto, A., Micchelli, C. A., Pontil, M. & Ying, Y., Jul 2008, In: Journal of Machine Learning Research. 9, p. 1615-1646Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Open Access119 Link opens in a new tab Citations (Scopus)
Projects
- 4 Finished
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GRF: Semi-supervised Learning with Integral Operators
CAPONNETTO, A. (Principal Investigator / Project Coordinator)
1/10/11 → 2/09/15
Project: Research
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GRF: Stability of Error Bounds in Statistical Learning Theory
CAPONNETTO, A. (Principal Investigator / Project Coordinator)
1/08/10 → 2/04/14
Project: Research
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SRG: Error Bound Stability in Learning Theory
CAPONNETTO, A. (Principal Investigator / Project Coordinator)
1/05/10 → 30/06/10
Project: Research
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SRG: Hierarchical Kernels for Similarity Learning
CAPONNETTO, A. (Principal Investigator / Project Coordinator)
1/04/09 → 10/10/11
Project: Research