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Statistical learning theory information


Statistical learning theory is a framework for machine learning drawing from the fields of statistics and functional analysis.[1][2][3] Statistical learning theory deals with the statistical inference problem of finding a predictive function based on data. Statistical learning theory has led to successful applications in fields such as computer vision, speech recognition, and bioinformatics.

  1. ^ Vapnik, Vladimir N. (1995). The Nature of Statistical Learning Theory. New York: Springer. ISBN 978-1-475-72440-0.
  2. ^ Hastie, Trevor; Tibshirani, Robert; Friedman, Jerome H. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer Series in Statistics. New York, NY: Springer. ISBN 978-0-387-84857-0.
  3. ^ Mohri, Mehryar; Rostamizadeh, Afshin; Talwalkar, Ameet (2012). Foundations of Machine Learning. US, Massachusetts: MIT Press. ISBN 9780262018258.

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Statistical learning theory

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Statistical learning theory deals with the statistical inference problem of finding a predictive function based on data. Statistical learning theory has led to...

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Early stopping

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Generalization error Regularization (mathematics) Statistical learning theory Boosting (machine learning) Cross-validation, in particular using a "validation...

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Empirical risk minimization

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Empirical risk minimization is a principle in statistical learning theory which defines a family of learning algorithms based on evaluating performance over...

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Outline of machine learning

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for learning Semantic analysis Similarity learning Sparse dictionary learning Stability (learning theory) Statistical learning theory Statistical relational...

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Vladimir Vapnik

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Learning theory

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learning theory, a mathematical theory to analyze machine learning algorithms. Online machine learning, the process of teaching a machine. Statistical learning...

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Space partitioning

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in a space partition plays a central role in some results in probability theory. See Growth function for more details. There are many studies and applications...

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Language acquisition

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empiricist theories of language acquisition include the statistical learning theory. Charles F. Hockett of language acquisition, relational frame theory, functionalist...

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List of important publications in statistics

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Statistical Decision Functions Author: Abraham Wald Publication data: 1950. John Wiley & Sons. Description: Exposition of statistical decision theory...

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Supervised learning

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doi:10.1109/IJCNN.2011.6033571. Vapnik, V. N. The Nature of Statistical Learning Theory (2nd Ed.), Springer Verlag, 2000. A. Maity (2016). "Supervised...

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Neural network

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Machine Learning. New York: Springer. ISBN 978-0-387-31073-2. Vapnik, Vladimir N.; Vapnik, Vladimir Naumovich (1998). The nature of statistical learning theory...

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Computational learning theory

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computational learning theory (or just learning theory) is a subfield of artificial intelligence devoted to studying the design and analysis of machine learning algorithms...

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Machine learning

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Machine learning (ML) is a field of study in artificial intelligence concerned with the development and study of statistical algorithms that can learn...

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Ensemble learning

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constituent learning algorithms alone. Unlike a statistical ensemble in statistical mechanics, which is usually infinite, a machine learning ensemble consists...

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Generalization error

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For supervised learning applications in machine learning and statistical learning theory, generalization error (also known as the out-of-sample error...

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Model selection

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one. In the context of machine learning and more generally statistical analysis, this may be the selection of a statistical model from a set of candidate...

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Kernel method

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eigenproblems and are statistically well-founded. Typically, their statistical properties are analyzed using statistical learning theory (for example, using...

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Statistical inference

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Statistical inference is the process of using data analysis to infer properties of an underlying distribution of probability. Inferential statistical...

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Algebraic statistics

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applications to statistical learning theory, including a generalization of the Akaike information criterion to singular statistical models. A gap in...

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Growth function

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especially used in the context of statistical learning theory, where it is used to study properties of statistical learning methods. The term 'growth function'...

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Proximal gradient methods for learning

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(forward backward splitting) methods for learning is an area of research in optimization and statistical learning theory which studies algorithms for a general...

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Distribution learning theory

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The distributional learning theory or learning of probability distribution is a framework in computational learning theory. It has been proposed from...

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Inferential theory of learning

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the ITL varies from other machine learning theories like Computational Learning Theory and Statistical Learning Theory; which both use singular forms of...

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