Videoreihe – Pattern Recognition [PR] 2020/2021

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:

  • lecture notes
  • Duda R., Hart P. and Stork D.: Pattern Classification
  • Niemann H.: Klassifikation von Mustern
  • Niemann H.: Pattern Analysis and Understanding

Pattern Recognition [PR] 2020/2021 - Teil 1: Introduction

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

Pattern Recognition [PR] 2020/2021 - Teil 2: Postulates of Pattern Recognition

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

Pattern Recognition [PR] 2020/2021 - Teil 3: The Big Picture

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

Pattern Recognition [PR] 2020/2021 - Teil 4: Evaluation Measures

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

Pattern Recognition [PR] 2020/2021 - Teil 5: Basics - Bayes Theorem

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

Pattern Recognition [PR] 2020/2021 - Teil 6: Basics - Optimal Classifier

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

Pattern Recognition [PR] 2020/2021 - Teil 7: Classification vs Regression

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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Pattern Recognition [PR] 2020/2021 - Teil 8: The Logistic Function

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

Pattern Recognition [PR] 2020/2021 - Teil 9: The Logistic Function Example

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

Pattern Recognition [PR] 2020/2021 - Teil 10: The Exponential Family

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

Pattern Recognition [PR] 2020/2021 - Teil 11: Logistic Regression - Loss Function

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

Pattern Recognition [PR] 2020/2021 - Teil 12: Logistic Regression - Function Fit

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

Pattern Recognition [PR] 2020/2021 - Teil 13: The Naive Bayes Classifier

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

Pattern Recognition [PR] 2020/2021 - Teil 14: Discriminant Analisys - Concept

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

Pattern Recognition [PR] 2020/2021 - Teil 15: Discriminant Analisys - Properties

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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Pattern Recognition [PR] 2020/2021 - Teil 16: LDA - Rank-Reduced Form

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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Pattern Recognition [PR] 2020/2021 - Teil 17: LDA - Original Formulation

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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Pattern Recognition [PR] 2020/2021 - Teil 18: LDA - Examples

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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Pattern Recognition [PR] 2020/2021 - Teil 19: LDA - Optimization Primer

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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Pattern Recognition [PR] 2020/2021 - Teil 20: Regularized Regression

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

Pattern Recognition [PR] 2020/2021 - Teil 21: Norms and Unit Balls

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

Pattern Recognition [PR] 2020/2021 - Teil 22: Norm-Dependent Regression

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

Pattern Recognition [PR] 2020/2021 - Teil 23: Rosenblatt Perceptron

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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Pattern Recognition [PR] 2020/2021 - Teil 24: Multi-Layer Perceptron

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

Pattern Recognition [PR] 2020/2021 - Teil 25: Gradient Descent & Back Line

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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Pattern Recognition [PR] 2020/2021 - Teil 26: Norm-Dependent Gradient

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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Pattern Recognition [PR] 2020/2021 - Teil 27: Support Vector Machine Concept

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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Pattern Recognition [PR] 2020/2021 - Teil 28: Duality in Optimization

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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Pattern Recognition [PR] 2020/2021 - Teil 29: Support Vector Machine Optimization

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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Pattern Recognition [PR] 2020/2021 - Teil 30: Mercer's Theorem & the Kernel Support Vector Machines

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

Pattern Recognition [PR] 2020/2021 - Teil 31: Kernel PCA & Sequence Kernels

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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Pattern Recognition [PR] 2020/2021 - Teil 32: Laplacian Support Vector Machines

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

Pattern Recognition [PR] 2020/2021 - Teil 33: Expectation Maximization - Introduction

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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Pattern Recognition [PR] 2020/2021 - Teil 34: Expectation Maximization Algorithm

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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Pattern Recognition [PR] 2020/2021 - Teil 35: EM Algorithm Example

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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Pattern Recognition [PR] 2020/2021 - Teil 36: Independent components - Introduction

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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Pattern Recognition [PR] 2020/2021 - Teil 37: independent Components & "Gaussianity"

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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Pattern Recognition [PR] 2020/2021 - Teil 38: ICA Measures of "Non-Gaussianity"

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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Pattern Recognition [PR] 2020/2021 - Teil 39: "No Free Lunch" and Bias-Variance Trade-Off

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

Pattern Recognition [PR] 2020/2021 - Teil 40: Performance Measures on Finite Data

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

Pattern Recognition [PR] 2020/2021 - Teil 41: Adaboost Concept

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

Pattern Recognition [PR] 2020/2021 - Teil 42: Adaboost & Exponential Loss

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.

This video is released under CC BY 4.0. Please feel free to share and reuse.

For reminders to watch the new video follow on Twitter or LinkedIn. Also, join our network for information about talks, videos, and job offers in our Facebook and LinkedIn Groups.

Music Reference: Damiano Baldoni – Thinking of You

Pattern Recognition [PR] 2020/2021 - Teil 43: Viola-Jones Algorithm

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.

This video is released under CC BY 4.0. Please feel free to share and reuse.

For reminders to watch the new video follow on Twitter or LinkedIn. Also, join our network for information about talks, videos, and job offers in our Facebook and LinkedIn Groups.

Music Reference: Damiano Baldoni – Thinking of You