Contents
This lecture gives an introduction into the basic and commonly used classification concepts. First the necessary statistical concepts are revised and the Bayes classifier is introduced. Further concepts include generative and discriminative models such as the Gaussian classifier and Naive Bayes, and logistic regression, Linear Discriminant Analysis, the Perceptron and Support Vector Machines (SVMs). Finally more complex methods like the Expectation Maximization Algorithm, which is used to estimate the parameters of Gaussian Mixture Models (GMM), are discussed.
In addition to the mentioned classifiers, methods necessary for practical application like dimensionality reduction, optimization methods and the use of kernel functions are explained.
Finally, we focus on Independent Component Analysis (ICA), combine weak classifiers to get a strong one (AdaBoost), and discuss the performance of machine classifiers.
In the tutorials the methods and procedures that are presented in this lecture are illustrated using theoretical and practical exercises.
Literature:
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we introduce the lecture and look into the first example for pattern recognition.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we present the postulates of pattern recognition and measures of evaluation for classification systems.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we put all the topics of the lecture into context.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into the concepts of sensitvity, specificity, re-testing, ROC Analysis, and some ideas towards boosting classifiers.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this short video, we introduce probability theory, conditional probability, class conditionals, priors, and posteriors.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into the optimality of the Bayes Classifier.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into the difference between classification and regression and show a simple example for linear regression.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we introduce the logistic function.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we combine the logistic function with the Gaussian probability density function.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into further probability density and mass functions of the exponential family.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into the actual logistic regression and how to formulate the optimization problem.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we learn how to estimate the parameters of the logistic function effectively.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we have a look at the naive Bayes classifier.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we start introducing discriminant transforms and look at their basic concept.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into some useful properties of discriminant analyses.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we introduce a rank-reduced version of the LDA.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we have a look at the original formulation of LDA as Fisher Transform.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into some example applications of LDA and PCA.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into the concepts of convex optimization, constrained optimization, regularized regression, and strong duality.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we introduce basic concepts on how to regularize regression using L2 and L1 norms.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we introduce norms on matrices and vectors and the corresponding unit balls.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we show the effects of norm-dependent regression.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we introduce the Rosenblatt Perceptron and perform a convergence analysis.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we have a short introduction to the multi-layer perceptron.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into optimization using gradient descent and back-tracking line search.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we see how different norms alter the direction of the gradient during the optimization.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we explain the basic concept of the support vector machine.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into the concept of duality in optimization and strong duality in convex problems.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we see how strong duality helps us with the support vector machine optimization.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look at kernels for Support Vector Machines and the Perceptron and learn about Mercer’s Theorem.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look at the Kernel PCA and advanced kernels such as sequence kernels.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we introduce the Laplacian SVM.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we have a look at the expectation maximization algorithm using Gaussian Mixture Models.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we analyze the expectation-maximization algorithm and relate it to Kullback-Leibler statistics in the context of the missing information principle.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we show how to apply the EM Algorithm to Magnetic Resonance Imaging for simultaneous bias field correction and image segmentation.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we introduce the concept of independent component analysis.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we discuss the importance of non-gaussianity for the extraction of independent components.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we discuss three measures to determine „non-gaussianity“.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we introduce the „no free lunch“ theorem and the bias-variance trade-off.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we look into how to estimate reliable performance measures on finite data.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we introduce the Adaboost Algorithm that fuses many weak classifiers to a strong one.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we show that Adaboost is actually optimizing the exponential loss.
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Music Reference: Damiano Baldoni – Thinking of You
Kurs-Verknüpfung
Pattern Recognition [PR]
Lehrende(r)
Prof. Dr. Andreas Maier
Sprache
Englisch
Einrichtung
Friedrich-Alexander-Universität Erlangen-Nürnberg
In this video, we show how Adaboost is used in the Viola-Jones Algorithm for face detection.
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Music Reference: Damiano Baldoni – Thinking of You