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+Applied Data Analysis and Machine Learning: Introduction to the course, Logistics and Practicalities + + + + + + + + + + + + + + + + + + + +
+ +

 

 

 

+ + + + +

Other courses on Data science and Machine Learning at UiO

+ +

+The link here https://www.mn.uio.no/english/research/about/centre-focus/innovation/data-science/studies/ gives an excellent overview of courses on Machine learning at UiO. + +

    +
  1. STK2100 Machine learning and statistical methods for prediction and classification.
  2. +
  3. IN3050 Introduction to Artificial Intelligence and Machine Learning. Introductory course in machine learning and AI with an algorithmic approach.
  4. +
  5. STK-INF3000/4000 Selected Topics in Data Science. The course provides insight into selected contemporary relevant topics within Data Science.
  6. +
  7. IN4080 Natural Language Processing. Probabilistic and machine learning techniques applied to natural language processing.
  8. +
  9. STK-IN4300 Statistical learning methods in Data Science. An advanced introduction to statistical and machine learning. For students with a good mathematics and statistics background.
  10. +
  11. INF4490 Biologically Inspired Computing. An introduction to self-adapting methods also called artificial intelligence or machine learning.
  12. +
  13. IN-STK5000 Adaptive Methods for Data-Based Decision Making. Methods for adaptive collection and processing of data based on machine learning techniques.
  14. +
  15. IN5400/INF5860 Machine Learning for Image Analysis. An introduction to deep learning with particular emphasis on applications within Image analysis, but useful for other application areas too.
  16. +
  17. TEK5040 Deep learning for autonomous systems. The course addresses advanced algorithms and architectures for deep learning with neural networks. The course provides an introduction to how deep-learning techniques can be used in the construction of key parts of advanced autonomous systems that exist in physical environments and cyber environments.
  18. +
  19. STK4051 Computational Statistics
  20. +
  21. STK4021 Applied Bayesian Analysis and Numerical Methods
  22. +
+ + +

+ +

+ + +
+ + + + + + + +
+ +
+ + + + + + diff --git a/doc/pub/Introduction/html/._Introduction-bs000.html b/doc/pub/Introduction/html/._Introduction-bs000.html new file mode 100644 index 000000000..bfac8f3e2 --- /dev/null +++ b/doc/pub/Introduction/html/._Introduction-bs000.html @@ -0,0 +1,605 @@ + + + + + + + + +Introduction to Applied Data Analysis and Machine Learning + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ +

 

 

 

+ + + + + + +
+

Introduction to Applied Data Analysis and Machine Learning

+ +

+ + +

+Morten Hjorth-Jensen [1, 2] +
+ +

+ + +

[1] Department of Physics, University of Oslo
+
[2] Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University
+
+

+

Sep 19, 2020

+
+

+

+ +

Introduction

+ +

+During the last two decades there has been a swift and amazing +development of Machine Learning techniques and algorithms that impact +many areas in not only Science and Technology but also the Humanities, +Social Sciences, Medicine, Law, indeed, almost all possible +disciplines. The applications are incredibly many, from self-driving +cars to solving high-dimensional differential equations or complicated +quantum mechanical many-body problems. Machine Learning is perceived +by many as one of the main disruptive techniques nowadays. + +

+Statistics, Data science and Machine Learning form important +fields of research in modern science. They describe how to learn and +make predictions from data, as well as allowing us to extract +important correlations about physical process and the underlying laws +of motion in large data sets. The latter, big data sets, appear +frequently in essentially all disciplines, from the traditional +Science, Technology, Mathematics and Engineering fields to Life +Science, Law, education research, the Humanities and the Social +Sciences. + +

+It has become more +and more common to see research projects on big data in for example +the Social Sciences where extracting patterns from complicated survey +data is one of many research directions. Having a solid grasp of data +analysis and machine learning is thus becoming central to scientific +computing in many fields, and competences and skills within the fields +of machine learning and scientific computing are nowadays strongly +requested by many potential employers. The latter cannot be +overstated, familiarity with machine learning has almost become a +prerequisite for many of the most exciting employment opportunities, +whether they are in bioinformatics, life science, physics or finance, +in the private or the public sector. This author has had several +students or met students who have been hired recently based on their +skills and competences in scientific computing and data science, often +with marginal knowledge of machine learning. + +

+Machine learning is a subfield of computer science, and is closely +related to computational statistics. It evolved from the study of +pattern recognition in artificial intelligence (AI) research, and has +made contributions to AI tasks like computer vision, natural language +processing and speech recognition. Many of the methods we will study are also +strongly rooted in basic mathematics and physics research. + +

+Ideally, machine learning represents the science of giving computers +the ability to learn without being explicitly programmed. The idea is +that there exist generic algorithms which can be used to find patterns +in a broad class of data sets without having to write code +specifically for each problem. The algorithm will build its own logic +based on the data. You should however always keep in mind that +machines and algorithms are to a large extent developed by humans. The +insights and knowledge we have about a specific system, play a central +role when we develop a specific machine learning algorithm. + +

+Machine learning is an extremely rich field, in spite of its young +age. The increases we have seen during the last three decades in +computational capabilities have been followed by developments of +methods and techniques for analyzing and handling large date sets, +relying heavily on statistics, computer science and mathematics. The +field is rather new and developing rapidly. Popular software packages +written in Python for machine learning like +Scikit-learn, +Tensorflow, +PyTorch and Keras, all +freely available at their respective GitHub sites, encompass +communities of developers in the thousands or more. And the number of +code developers and contributors keeps increasing. Not all the +algorithms and methods can be given a rigorous mathematical +justification, opening up thereby large rooms for experimenting and +trial and error and thereby exciting new developments. However, a +solid command of linear algebra, multivariate theory, probability +theory, statistical data analysis, understanding errors and Monte +Carlo methods are central elements in a proper understanding of many +of algorithms and methods we will discuss. + +

Learning outcomes

+ +

+These sets of lectures aim at giving you an overview of central aspects of +statistical data analysis as well as some of the central algorithms +used in machine learning. We will introduce a variety of central +algorithms and methods essential for studies of data analysis and +machine learning. + +

+Hands-on projects and experimenting with data and algorithms plays a central role in +these lectures, and our hope is, through the various +projects and exercises, to expose you to fundamental +research problems in these fields, with the aim to reproduce state of +the art scientific results. You will learn to develop and +structure codes for studying these systems, get acquainted with +computing facilities and learn to handle large scientific projects. A +good scientific and ethical conduct is emphasized throughout the +course. More specifically, you will + +

    +
  1. Learn about basic data analysis, Bayesian statistics, Monte Carlo methods, data optimization and machine learning;
  2. +
  3. Be capable of extending the acquired knowledge to other systems and cases;
  4. +
  5. Have an understanding of central algorithms used in data analysis and machine learning;
  6. +
  7. Gain knowledge of central aspects of Monte Carlo methods, Markov chains, Gibbs samplers and their possible applications, from numerical integration to simulation of stock markets;
  8. +
  9. Understand methods for regression and classification;
  10. +
  11. Learn about neural network, genetic algorithms and Boltzmann machines;
  12. +
  13. Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++, in addition to a basic knowledge of linear algebra (typically taught during the first one or two years of undergraduate studies).
  14. +
+ +There are several topics we will cover here, spanning from +statistical data analysis and its basic concepts such as expectation +values, variance, covariance, correlation functions and errors, via +well-known probability distribution functions like the uniform +distribution, the binomial distribution, the Poisson distribution and +simple and multivariate normal distributions to central elements of +Bayesian statistics and modeling. We will also remind the reader about +central elements from linear algebra and standard methods based on +linear algebra used to optimize (minimize) functions (the family of gradient descent methods) +and the Singular-value decomposition and +least square methods for parameterizing data. + +

+We will also cover Monte Carlo methods, Markov chains, well-known +algorithms for sampling stochastic events like the Metropolis-Hastings +and Gibbs sampling methods. An important aspect of all our +calculations is a proper estimation of errors. Here we will also +discuss famous resampling techniques like the blocking, the bootstrapping +and the jackknife methods and the infamous bias-variance tradeoff. + +

+The second part of the material covers several algorithms used in +machine learning. + +

Machine Learning, a small (and probably biased) introduction

+ +

+Ideally, machine learning represents the science of giving computers +the ability to learn without being explicitly programmed. The idea is +that there exist generic algorithms which can be used to find patterns +in a broad class of data sets without having to write code +specifically for each problem. The algorithm will build its own logic +based on the data. You should however always keep in mind that +machines and algorithms are to a large extent developed by humans. The +insights and knowledge we have about a specific system, play a central +role when we develop a specific machine learning algorithm. + +

Machine Learning, an extremely rich field

+ +

+Machine learning is an extremely rich field, in spite of its young +age. The increases we have seen during the last decades in +computational capabilities have been followed by developments of +methods and techniques for analyzing and handling large date sets, +relying heavily on statistics, computer science and mathematics. The +field is rather new and developing rapidly. Popular software libraries +written in Python for machine learning like +Scikit-learn, +Tensorflow, +PyTorch and Keras, all +freely available at their respective GitHub sites, encompass +communities of developers in the thousands or more. And the number of +code developers and contributors keeps increasing. + +

A multidisciplinary approach

+ +

+Not all the +algorithms and methods can be given a rigorous mathematical +justification (for example decision trees and random forests), opening up thereby large rooms for experimenting and +trial and error and thereby exciting new developments. However, a +solid command of linear algebra, multivariate theory, probability +theory, statistical data analysis, understanding errors and Monte +Carlo methods are central elements in a proper understanding of many +of the algorithms and methods we will discuss. + +

Types of Machine Learning

+ +

+The approaches to machine learning are many, but are often split into +two main categories. In supervised learning we know the answer to a +problem, and let the computer deduce the logic behind it. On the other +hand, unsupervised learning is a method for finding patterns and +relationship in data sets without any prior knowledge of the system. +Some authours also operate with a third category, namely +reinforcement learning. This is a paradigm of learning inspired by +behavioral psychology, where learning is achieved by trial-and-error, +solely from rewards and punishment. + +

+Another way to categorize machine learning tasks is to consider the +desired output of a system. Some of the most common tasks are: + +

+ + +

+ + + +

Essential elements of ML

+ +

+The methods we cover have three main topics in common, irrespective of +whether we deal with supervised or unsupervised learning. + + +

+ + + +

An optimization/minimization problem

+ +

+At the heart of basically all Machine Learning algorithms we will encounter so-called minimization or optimization algorithms. A large family of such methods are so-called gradient methods. + +

A Frequentist approach to data analysis

+ +

+When you hear phrases like predictions and estimations and +correlations and causations, what do you think of? May be you think +of the difference between classifying new data points and generating +new data points. +Or perhaps you consider that correlations represent some kind of symmetric statements like +if \( A \) is correlated with \( B \), then \( B \) is correlated with +\( A \). Causation on the other hand is directional, that is if \( A \) causes \( B \), \( B \) does not +necessarily cause \( A \). + +

+These concepts are in some sense the difference between machine +learning and statistics. In machine learning and prediction based +tasks, we are often interested in developing algorithms that are +capable of learning patterns from given data in an automated fashion, +and then using these learned patterns to make predictions or +assessments of newly given data. In many cases, our primary concern +is the quality of the predictions or assessments, and we are less +concerned about the underlying patterns that were learned in order +to make these predictions. + +

+In machine learning we normally use a so-called frequentist approach, +where the aim is to make predictions and find correlations. We focus +less on for example extracting a probability distribution function (PDF). The PDF can be +used in turn to make estimations and find causations such as given \( A \) +what is the likelihood of finding \( B \). + +

What is a good model?

+ +

+In science and engineering we often end up in situations where we want to infer (or learn) a +quantitative model \( M \) for a given set of sample points \( \boldsymbol{X} \in [x_1, x_2,\dots x_N] \). + +

+As we will see repeatedely in these lectures, we could try to fit these data points to a model given by a +straight line, or if we wish to be more sophisticated to a more complex +function. + +

+The reason for inferring such a model is that it +serves many useful purposes. On the one hand, the model can reveal information +encoded in the data or underlying mechanisms from which the data were generated. For instance, we could discover important +corelations that relate interesting physics interpretations. + +

+In addition, it can simplify the representation of the given data set and help +us in making predictions about future data samples. + +

+A first important consideration to keep in mind is that inferring the correct model +for a given data set is an elusive, if not impossible, task. The fundamental difficulty +is that if we are not specific about what we mean by a correct model, there +could easily be many different models that fit the given data set equally well. + +

What is a good model? Can we define it?

+ +

+The central question is this: what leads us to say that a model is correct or +optimal for a given data set? To make the model inference problem well posed, i.e., +to guarantee that there is a unique optimal model for the given data, we need to +impose additional assumptions or restrictions on the class of models considered. To +this end, we should not be looking for just any model that can describe the data. +Instead, we should look for a model \( M \) that is the best among a restricted class +of models. In addition, to make the model inference problem computationally +tractable, we need to specify how restricted the class of models needs to be. A +common strategy is to start +with the simplest possible class of models that is just necessary to describe the data +or solve the problem at hand. More precisely, the model class should be rich enough +to contain at least one model that can fit the data to a desired accuracy and yet be +restricted enough that it is relatively simple to find the best model for the given data. + +

+Thus, the most popular strategy is to start from the +simplest class of models and increase the complexity of the models only when the +simpler models become inadequate. For instance, if we work with a regression problem to fit a set of sample points, one +may first try the simplest class of models, namely linear models, followed obviously by more complex models. + +

+How to evaluate which model fits best the data is something we will come back to over and over again in these set of lectures. + +

Choice of Programming Language

+ +

+Python plays nowadays a central role in the development of machine +learning techniques and tools for data analysis. In particular, seen +the wealth of machine learning and data analysis libraries written in +Python, easy to use libraries with immediate visualization(and not the +least impressive galleries of existing examples), the popularity of the +Jupyter notebook framework with the possibility to run R codes or +compiled programs written in C++, and much more made our choice of +programming language for this series of lectures easy. However, +since the focus here is not only on using existing Python libraries such +as Scikit-Learn, Tensorflow and Pytorch, but also on developing your own +algorithms and codes, we will as far as possible present many of these +algorithms either as a Python codes or C++ or Fortran (or other languages) codes. + +

Data handling, machine learning and ethical aspects

+ +

+In most of the cases we will study, we will either generate the data +to analyze ourselves (both for supervised learning and unsupervised +learning) or we will recur again and again to data present in say +Scikit-Learn or Tensorflow. Many of the examples we end up +dealing with are from a privacy and data protection point of view, +rather inoccuous and boring results of numerical +calculations. However, this does not hinder us from developing a sound +ethical attitude to the data we use, how we analyze the data and how +we handle the data. + +

+The most immediate and simplest possible ethical aspects deal with our +approach to the scientific process. Nowadays, with version control +software like Git and various online +repositories like Github, +Gitlab etc, we can easily make our codes +and data sets we have used, freely and easily accessible to a wider +community. This helps us almost automagically in making our science +reproducible. The large open-source development communities involved +in say Scikit-Learn, +Tensorflow, +PyTorch and Keras, are +all excellent examples of this. The codes can be tested and improved +upon continuosly, helping thereby our scientific community at large in +developing data analysis and machine learning tools. It is much +easier today to gain traction and acceptance for making your science +reproducible. From a societal stand, this is an important element +since many of the developers are employees of large public institutions like +universities and research labs. Our fellow taxpayers do deserve to get +something back for their bucks. + +

+However, this more mechanical aspect of the ethics of science (in +particular the reproducibility of scientific results) is something +which is obvious and everybody should do so as part of the dialectics of +science. The fact that many scientists are not willing to share their codes or +data is detrimental to the scientific discourse. + +

+Before we proceed, we should add a disclaimer. Even though +we may dream of computers developing some kind of higher learning +capabilities, at the end (even if the artificial intelligence +community keeps touting our ears full of fancy futuristic avenues), it is we, yes you reading these lines, +who end up constructing and instructing, via various algorithms, the +machine learning approaches. Self-driving cars for example, rely on sofisticated +programs which take into account all possible situations a car can +encounter. In addition, extensive usage of training data from GPS +information, maps etc, are typically fed into the software for +self-driving cars. Adding to this various sensors and cameras that +feed information to the programs, there are zillions of ethical issues +which arise from this. + +

+For self-driving cars, where basically many of the standard machine +learning algorithms discussed here enter into the codes, at a certain +stage we have to make choices. Yes, we , the lads and lasses who wrote +a program for a specific brand of a self-driving car. As an example, +all carmakers have as their utmost priority the security of the +driver and the accompanying passengers. A famous European carmaker, which is +one of the leaders in the market of self-driving cars, had if +statements of the following type: suppose there are two obstacles in +front of you and you cannot avoid to collide with one of them. One of +the obstacles is a monstertruck while the other one is a kindergarten +class trying to cross the road. The self-driving car algo would then +opt for the hitting the small folks instead of the monstertruck, since +the likelihood of surving a collision with our future citizens, is +much higher. + +

+This leads to serious ethical aspects. Why should we opt for such an +option? Who decides and who is entitled to make such choices? Keep in +mind that many of the algorithms you will encounter in this series of +lectures or hear about later, are indeed based on simple programming +instructions. And you are very likely to be one of the people who may +end up writing such a code. Thus, developing a sound ethical attitude +to what we do, an approach well beyond the simple mechanistic one of +making our science available and reproducible, is much needed. The +example of the self-driving cars is just one of infinitely many cases +where we have to make choices. When you analyze data on economic +inequalities, who guarantees that you are not weighting some data in a +particular way, perhaps because you dearly want a specific conclusion +which may support your political views? Or what about the recent +claims that a famous IT company like Apple has a sexist bias on the +their recently launched credit card? + +

+We do not have the answers here, nor will we venture into a deeper +discussions of these aspects, but we want you think over these topics +in a more overarching way. A statistical data analysis with its dry +numbers and graphs meant to guide the eye, does not necessarily +reflect the truth, whatever that is. As a scientist, and after a +university education, you are supposedly a better citizen, with an +improved critical view and understanding of the scientific method, and +perhaps some deeper understanding of the ethics of science at +large. Use these insights. Be a critical citizen. You owe it to our +society. + +

+ +

+ +

+ + +
+ + + + + + + +
+ © 1999-2020, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license +
+ + + + + + diff --git a/doc/pub/Introduction/ipynb/.ipynb_checkpoints/Introduction-checkpoint.ipynb b/doc/pub/Introduction/ipynb/.ipynb_checkpoints/Introduction-checkpoint.ipynb new file mode 100644 index 000000000..56c63bf60 --- /dev/null +++ b/doc/pub/Introduction/ipynb/.ipynb_checkpoints/Introduction-checkpoint.ipynb @@ -0,0 +1,370 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "# Introduction to Applied Data Analysis and Machine Learning\n", + "\n", + " \n", + "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n", + "\n", + "Date: **Nov 19, 2019**\n", + "\n", + "Copyright 1999-2019, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "## Introduction\n", + "\n", + "During the last two decades there has been a swift and amazing\n", + "development of Machine Learning techniques and algorithms that impact\n", + "many areas in not only Science and Technology but also the Humanities,\n", + "Social Sciences, Medicine, Law, indeed, almost all possible\n", + "disciplines. The applications are incredibly many, from self-driving\n", + "cars to solving high-dimensional differential equations or complicated\n", + "quantum mechanical many-body problems. Machine Learning is perceived\n", + "by many as one of the main disruptive techniques nowadays. \n", + "\n", + "Statistics, Data science and Machine Learning form important\n", + "fields of research in modern science. They describe how to learn and\n", + "make predictions from data, as well as allowing us to extract\n", + "important correlations about physical process and the underlying laws\n", + "of motion in large data sets. The latter, big data sets, appear\n", + "frequently in essentially all disciplines, from the traditional\n", + "Science, Technology, Mathematics and Engineering fields to Life\n", + "Science, Law, education research, the Humanities and the Social\n", + "Sciences.\n", + "\n", + "It has become more\n", + "and more common to see research projects on big data in for example\n", + "the Social Sciences where extracting patterns from complicated survey\n", + "data is one of many research directions. Having a solid grasp of data\n", + "analysis and machine learning is thus becoming central to scientific\n", + "computing in many fields, and competences and skills within the fields\n", + "of machine learning and scientific computing are nowadays strongly\n", + "requested by many potential employers. The latter cannot be\n", + "overstated, familiarity with machine learning has almost become a\n", + "prerequisite for many of the most exciting employment opportunities,\n", + "whether they are in bioinformatics, life science, physics or finance,\n", + "in the private or the public sector. This author has had several\n", + "students or met students who have been hired recently based on their\n", + "skills and competences in scientific computing and data science, often\n", + "with marginal knowledge of machine learning.\n", + "\n", + "Machine learning is a subfield of computer science, and is closely\n", + "related to computational statistics. It evolved from the study of\n", + "pattern recognition in artificial intelligence (AI) research, and has\n", + "made contributions to AI tasks like computer vision, natural language\n", + "processing and speech recognition. Many of the methods we will study are also \n", + "strongly rooted in basic mathematics and physics research. \n", + "\n", + "Ideally, machine learning represents the science of giving computers\n", + "the ability to learn without being explicitly programmed. The idea is\n", + "that there exist generic algorithms which can be used to find patterns\n", + "in a broad class of data sets without having to write code\n", + "specifically for each problem. The algorithm will build its own logic\n", + "based on the data. You should however always keep in mind that\n", + "machines and algorithms are to a large extent developed by humans. The\n", + "insights and knowledge we have about a specific system, play a central\n", + "role when we develop a specific machine learning algorithm. \n", + "\n", + "Machine learning is an extremely rich field, in spite of its young\n", + "age. The increases we have seen during the last three decades in\n", + "computational capabilities have been followed by developments of\n", + "methods and techniques for analyzing and handling large date sets,\n", + "relying heavily on statistics, computer science and mathematics. The\n", + "field is rather new and developing rapidly. Popular software packages\n", + "written in Python for machine learning like\n", + "[Scikit-learn](http://scikit-learn.org/stable/),\n", + "[Tensorflow](https://www.tensorflow.org/),\n", + "[PyTorch](http://pytorch.org/) and [Keras](https://keras.io/), all\n", + "freely available at their respective GitHub sites, encompass\n", + "communities of developers in the thousands or more. And the number of\n", + "code developers and contributors keeps increasing. Not all the\n", + "algorithms and methods can be given a rigorous mathematical\n", + "justification, opening up thereby large rooms for experimenting and\n", + "trial and error and thereby exciting new developments. However, a\n", + "solid command of linear algebra, multivariate theory, probability\n", + "theory, statistical data analysis, understanding errors and Monte\n", + "Carlo methods are central elements in a proper understanding of many\n", + "of algorithms and methods we will discuss.\n", + "\n", + "\n", + "\n", + "## Learning outcomes\n", + "\n", + "These sets of lectures aim at giving you an overview of central aspects of\n", + "statistical data analysis as well as some of the central algorithms\n", + "used in machine learning. We will introduce a variety of central\n", + "algorithms and methods essential for studies of data analysis and\n", + "machine learning. \n", + "\n", + "Hands-on projects and experimenting with data and algorithms plays a central role in\n", + "these lectures, and our hope is, through the various\n", + "projects and exercises, to expose you to fundamental\n", + "research problems in these fields, with the aim to reproduce state of\n", + "the art scientific results. You will learn to develop and\n", + "structure codes for studying these systems, get acquainted with\n", + "computing facilities and learn to handle large scientific projects. A\n", + "good scientific and ethical conduct is emphasized throughout the\n", + "course. More specifically, you will\n", + "\n", + "1. Learn about basic data analysis, Bayesian statistics, Monte Carlo methods, data optimization and machine learning;\n", + "\n", + "2. Be capable of extending the acquired knowledge to other systems and cases;\n", + "\n", + "3. Have an understanding of central algorithms used in data analysis and machine learning;\n", + "\n", + "4. Gain knowledge of central aspects of Monte Carlo methods, Markov chains, Gibbs samplers and their possible applications, from numerical integration to simulation of stock markets;\n", + "\n", + "5. Understand methods for regression and classification;\n", + "\n", + "6. Learn about neural network, genetic algorithms and Boltzmann machines;\n", + "\n", + "7. Work on numerical projects to illustrate the theory. The projects play a central role and you are expected to know modern programming languages like Python or C++, in addition to a basic knowledge of linear algebra (typically taught during the first one or two years of undergraduate studies).\n", + "\n", + "There are several topics we will cover here, spanning from \n", + "statistical data analysis and its basic concepts such as expectation\n", + "values, variance, covariance, correlation functions and errors, via\n", + "well-known probability distribution functions like the uniform\n", + "distribution, the binomial distribution, the Poisson distribution and\n", + "simple and multivariate normal distributions to central elements of\n", + "Bayesian statistics and modeling. We will also remind the reader about\n", + "central elements from linear algebra and standard methods based on\n", + "linear algebra used to optimize (minimize) functions (the family of gradient descent methods)\n", + "and the Singular-value decomposition and\n", + "least square methods for parameterizing data.\n", + "\n", + "We will also cover Monte Carlo methods, Markov chains, well-known\n", + "algorithms for sampling stochastic events like the Metropolis-Hastings\n", + "and Gibbs sampling methods. An important aspect of all our\n", + "calculations is a proper estimation of errors. Here we will also\n", + "discuss famous resampling techniques like the blocking, the bootstrapping\n", + "and the jackknife methods and the infamous bias-variance tradeoff. \n", + "\n", + "The second part of the material covers several algorithms used in\n", + "machine learning.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "## Types of Machine Learning\n", + "\n", + "\n", + "The approaches to machine learning are many, but are often split into\n", + "two main categories. In *supervised learning* we know the answer to a\n", + "problem, and let the computer deduce the logic behind it. On the other\n", + "hand, *unsupervised learning* is a method for finding patterns and\n", + "relationship in data sets without any prior knowledge of the system.\n", + "Some authours also operate with a third category, namely\n", + "*reinforcement learning*. This is a paradigm of learning inspired by\n", + "behavioral psychology, where learning is achieved by trial-and-error,\n", + "solely from rewards and punishment.\n", + "\n", + "Another way to categorize machine learning tasks is to consider the\n", + "desired output of a system. Some of the most common tasks are:\n", + "\n", + " * Classification: Outputs are divided into two or more classes. The goal is to produce a model that assigns inputs into one of these classes. An example is to identify digits based on pictures of hand-written ones. Classification is typically supervised learning.\n", + "\n", + " * Regression: Finding a functional relationship between an input data set and a reference data set. The goal is to construct a function that maps input data to continuous output values.\n", + "\n", + " * Clustering: Data are divided into groups with certain common traits, without knowing the different groups beforehand. It is thus a form of unsupervised learning.\n", + "\n", + "The methods we cover have three main topics in common, irrespective of\n", + "whether we deal with supervised or unsupervised learning. The first\n", + "ingredient is normally our data set (which can be subdivided into\n", + "training and test data), the second item is a model which is normally\n", + "a function of some parameters. The model reflects our knowledge of\n", + "the system (or lack thereof). As an example, if we know that our data\n", + "show a behavior similar to what would be predicted by a polynomial,\n", + "fitting our data to a polynomial of some degree would then determin\n", + "our model.\n", + "\n", + "The last ingredient is a so-called **cost**\n", + "function which allows us to present an estimate on how good our model\n", + "is in reproducing the data it is supposed to train. \n", + "\n", + "Here we will build our machine learning approach on elements of the\n", + "statistical foundation discussed above, with elements from data\n", + "analysis, stochastic processes etc. We will discuss the following\n", + "machine learning algorithms\n", + "\n", + "1. Linear regression and its variants\n", + "\n", + "2. Decision tree algorithms, from single trees to random forests\n", + "\n", + "3. Bayesian statistics and regression\n", + "\n", + "4. Support vector machines and finally various variants of\n", + "\n", + "5. Artifical neural networks and deep learning, including convolutional neural networks and Bayesian neural networks\n", + "\n", + "6. Networks for unsupervised learning using for example reduced Boltzmann machines.\n", + "\n", + "## Choice of programming language\n", + "\n", + "Python plays nowadays a central role in the development of machine\n", + "learning techniques and tools for data analysis. In particular, seen\n", + "the wealth of machine learning and data analysis libraries written in\n", + "Python, easy to use libraries with immediate visualization(and not the\n", + "least impressive galleries of existing examples), the popularity of the\n", + "Jupyter notebook framework with the possibility to run **R** codes or\n", + "compiled programs written in C++, and much more made our choice of\n", + "programming language for this series of lectures easy. However,\n", + "since the focus here is not only on using existing Python libraries such\n", + "as **Scikit-Learn** or **Tensorflow**, but also on developing your own\n", + "algorithms and codes, we will as far as possible present many of these\n", + "algorithms either as a Python codes or C++ or Fortran (or other languages) codes. \n", + "\n", + "The reason we also focus on compiled languages like C++ (or\n", + "Fortran), is that Python is still notoriously slow when we do not\n", + "utilize highly streamlined computational libraries like\n", + "[Lapack](http://www.netlib.org/lapack/) or other numerical libraries\n", + "written in compiled languages (many of these libraries are written in\n", + "Fortran). Although a project like [Numba](https://numba.pydata.org/)\n", + "holds great promise for speeding up the unrolling of lengthy loops, C++\n", + "and Fortran are presently still the performance winners. Numba gives\n", + "you potentially the power to speed up your applications with high\n", + "performance functions written directly in Python. In particular,\n", + "array-oriented and math-heavy Python code can achieve similar\n", + "performance to C, C++ and Fortran. However, even with these speed-ups,\n", + "for codes involving heavy Markov Chain Monte Carlo analyses and\n", + "optimizations of cost functions, C++/C or Fortran codes tend to\n", + "outperform Python codes. \n", + "\n", + "Presently thus, the community tends to let\n", + "code written in C++/C or Fortran do the heavy duty numerical\n", + "number crunching and leave the post-analysis of the data to the above\n", + "mentioned Python modules or software packages. However, with the developments taking place in for example the Python community, and seen\n", + "the changes during the last decade, the above situation may change swiftly in the not too distant future. \n", + "\n", + "Many of the examples we discuss in this series of lectures come with\n", + "existing data files or provide code examples which produce the data to\n", + "be analyzed. Most of the applications we will discuss deal with\n", + "small data sets (less than a terabyte of information) and can easily\n", + "be analyzed and tested on standard off the shelf laptops you find in general \n", + "stores.\n", + "\n", + "## Data handling, machine learning and ethical aspects\n", + "\n", + "In most of the cases we will study, we will either generate the data\n", + "to analyze ourselves (both for supervised learning and unsupervised\n", + "learning) or we will recur again and again to data present in say\n", + "**Scikit-Learn** or **Tensorflow**. Many of the examples we end up\n", + "dealing with are from a privacy and data protection point of view,\n", + "rather inoccuous and boring results of numerical\n", + "calculations. However, this does not hinder us from developing a sound\n", + "ethical attitude to the data we use, how we analyze the data and how\n", + "we handle the data.\n", + "\n", + "The most immediate and simplest possible ethical aspects deal with our\n", + "approach to the scientific process. Nowadays, with version control\n", + "software like [Git](https://git-scm.com/) and various online\n", + "repositories like [Github](https://github.com/),\n", + "[Gitlab](https://about.gitlab.com/) etc, we can easily make our codes\n", + "and data sets we have used, freely and easily accessible to a wider\n", + "community. This helps us almost automagically in making our science\n", + "reproducible. The large open-source development communities involved\n", + "in say [Scikit-Learn](http://scikit-learn.org/stable/),\n", + "[Tensorflow](https://www.tensorflow.org/),\n", + "[PyTorch](http://pytorch.org/) and [Keras](https://keras.io/), are\n", + "all excellent examples of this. The codes can be tested and improved\n", + "upon continuosly, helping thereby our scientific community at large in\n", + "developing data analysis and machine learning tools. It is much\n", + "easier today to gain traction and acceptance for making your science\n", + "reproducible. From a societal stand, this is an important element\n", + "since many of the developers are employees of large public institutions like\n", + "universities and research labs. Our fellow taxpayers do deserve to get\n", + "something back for their bucks.\n", + "\n", + "However, this more mechanical aspect of the ethics of science (in\n", + "particular the reproducibility of scientific results) is something\n", + "which is obvious and everybody should do so as part of the dialectics of\n", + "science. The fact that many scientists are not willing to share their codes or \n", + "data is detrimental to the scientific discourse.\n", + "\n", + "Before we proceed, we should add a disclaimer. Even though\n", + "we may dream of computers developing some kind of higher learning\n", + "capabilities, at the end (even if the artificial intelligence\n", + "community keeps touting our ears full of fancy futuristic avenues), it is we, yes you reading these lines,\n", + "who end up constructing and instructing, via various algorithms, the\n", + "machine learning approaches. Self-driving cars for example, rely on sofisticated\n", + "programs which take into account all possible situations a car can\n", + "encounter. In addition, extensive usage of training data from GPS\n", + "information, maps etc, are typically fed into the software for\n", + "self-driving cars. Adding to this various sensors and cameras that\n", + "feed information to the programs, there are zillions of ethical issues\n", + "which arise from this.\n", + "\n", + "For self-driving cars, where basically many of the standard machine\n", + "learning algorithms discussed here enter into the codes, at a certain\n", + "stage we have to make choices. Yes, we , the lads and lasses who wrote\n", + "a program for a specific brand of a self-driving car. As an example,\n", + "all carmakers have as their utmost priority the security of the\n", + "driver and the accompanying passengers. A famous European carmaker, which is\n", + "one of the leaders in the market of self-driving cars, had **if**\n", + "statements of the following type: suppose there are two obstacles in\n", + "front of you and you cannot avoid to collide with one of them. One of\n", + "the obstacles is a monstertruck while the other one is a kindergarten\n", + "class trying to cross the road. The self-driving car algo would then\n", + "opt for the hitting the small folks instead of the monstertruck, since\n", + "the likelihood of surving a collision with our future citizens, is\n", + "much higher.\n", + "\n", + "This leads to serious ethical aspects. Why should we opt for such an\n", + "option? Who decides and who is entitled to make such choices? Keep in\n", + "mind that many of the algorithms you will encounter in this series of\n", + "lectures or hear about later, are indeed based on simple programming\n", + "instructions. And you are very likely to be one of the people who may\n", + "end up writing such a code. Thus, developing a sound ethical attitude\n", + "to what we do, an approach well beyond the simple mechanistic one of\n", + "making our science available and reproducible, is much needed. The\n", + "example of the self-driving cars is just one of infinitely many cases\n", + "where we have to make choices. When you analyze data on economic\n", + "inequalities, who guarantees that you are not weighting some data in a\n", + "particular way, perhaps because you dearly want a specific conclusion\n", + "which may support your political views? Or what about the recent\n", + "claims that a famous IT company like Apple has a sexist bias on the\n", + "their recently [launched credit card](https://qz.com/1748321/the-role-of-goldman-sachs-algorithms-in-the-apple-credit-card-scandal/)?\n", + "\n", + "We do not have the answers here, nor will we venture into a deeper\n", + "discussions of these aspects, but we want you think over these topics\n", + "in a more overarching way. A statistical data analysis with its dry\n", + "numbers and graphs meant to guide the eye, does not necessarily\n", + "reflect the truth, whatever that is. As a scientist, and after a\n", + "university education, you are supposedly a better citizen, with an\n", + "improved critical view and understanding of the scientific method, and\n", + "perhaps some deeper understanding of the ethics of science at\n", + "large. Use these insights. Be a critical citizen. You owe it to our\n", + "society." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/doc/pub/NeuralNet/ipynb/logs/events.out.tfevents.1584552722.Mortens-MacBook-Pro.local b/doc/pub/NeuralNet/ipynb/logs/events.out.tfevents.1584552722.Mortens-MacBook-Pro.local new file mode 100644 index 0000000000000000000000000000000000000000..3914b7df6eebfd6f510e3bea317fbb94147cb99c GIT binary patch literal 2167746 zcmdqKYmj7Dc_3IftJSLhTCHx~ZnWa+Ep{<3A*cFw3qgTe{gQ-O(KPB-0~%RHR%O!4 zRaRChv#RNq&BF_Lu`$7V@M9QbW19hE2Oh7z2HWe|jrGprg;)`UW5U5Y9A1Y5ypFa1 z_z{l4v9rs5=Y7t-=bZbUn_2SMicob{R^~n5`*qIwzFQW=f1mxpe|gWog@q6PuRrza 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