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A scalable modular convex solver for regularized risk minimization
Abstract
A wide variety of machine learning problems can be described as minimizing a regularized risk functional, with different algorithms using different notions of risk and different regularizers. Examples include linear Support Vector Machines (SVMs), Logistic Regression, Conditional Random Fields (CRFs), and Lasso amongst others. This paper describes the theory and implementation of a highly scalable and modular convex solver which solves all these estimation problems. It can be parallelized on a cluster of workstations, allows for data-locality, and can deal with regularizers such as l1 and l2 penalties. At present, our solver implements 20 different estimation problems, can be easily extended, scales to millions of observations, and is up to 10 times faster than specialized solvers for many applications. The open source code is freely available as part of the ELEFANT toolbox.
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Cites
Estimating the Support of a High-Dimensional Distribution
Schölkopf, B., Platt, J. C., Shawe-Taylor, J., Smola, A. J., & Williamson, R. C. (2001) · Neural Computation · doi:10.1162/089976601750264965 · Cited by 6,168
Self-citationTools for privacy preserving distributed data mining
Clifton, C., Kantarcioglu, M., Vaidya, J., Lin, X., & Zhu, M. Y. (2002) · ACM SIGKDD Explorations Newsletter · doi:10.1145/772862.772867 · Cited by 890
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Dataset Shift in Machine Learning
(2008) · doi:10.7551/mitpress/9780262170055.001.0001 · Cited by 1,553
Scaling Distributed Machine Learning with the Parameter Server
Li, M. (2014) · Proceedings of the 2014 International Conference on Big Data Science and Computing · doi:10.1145/2640087.2644155 · Cited by 979
Cutting-plane training of structural SVMs
Joachims, T., Finley, T., & Yu, C.-N. J. (2009) · Machine Learning · doi:10.1007/s10994-009-5108-8 · Cited by 958
A Stochastic Gradient Method with an Exponential Convergence Rate for Finite Training Sets
Roux, N. L., Schmidt, M., & Bach, F. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1202.6258 · Cited by 481
Learning to rank in person re-identification with metric ensembles
Paisitkriangkrai, S., Shen, C., & van den Hengel, A. (2015) · 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) · doi:10.1109/cvpr.2015.7298794 · Cited by 385
Metadata
- Authors
- Teo, C. H., Smola, A., Vishwanathan, S. V. N., & Le, Q. V.
- Venue
- Proceedings of the 13th ACM SIGKDD international conference on Knowledge discovery and data mining
- Publisher
- ACM
- Published
- 2007-08-12
- Pages
- 727-736
- OpenAlex
- W2005688170
- Cited by
- 171
- References
- 2
- FWCI
- 12.79
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Teo, C. H., Smola, A., Vishwanathan, S. V. N., & Le, Q. V. (2007). A scalable modular convex solver for regularized risk minimization. Proceedings of the 13th ACM SIGKDD international conference on Knowledge discovery and data mining. https://doi.org/10.1145/1281192.1281270
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