From a14745f26ce185c3b0d5cc4004a15312f3ccc028 Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Sat, 27 Mar 2021 21:33:50 +0100 Subject: [PATCH] added lectures --- doc/LectureNotes/_config.yml | 72 ++++++++++++++++ doc/LectureNotes/_config.yml~ | 72 ++++++++++++++++ doc/LectureNotes/_toc.yml | 25 ++++++ doc/LectureNotes/_toc.yml~ | 20 +++++ doc/LectureNotes/content.md | 5 ++ doc/LectureNotes/intro.md | 145 ++++++++++++++++++++++++++++++++ doc/LectureNotes/intro.md~ | 41 +++++++++ doc/LectureNotes/logo.png | Bin 0 -> 700391 bytes doc/LectureNotes/references.bib | 56 ++++++++++++ doc/LectureNotes/schedule.md | 14 +++ doc/LectureNotes/schedule.md~ | 125 +++++++++++++++++++++++++++ doc/LectureNotes/teachers.md | 23 +++++ doc/LectureNotes/teachers.md~ | 58 +++++++++++++ doc/LectureNotes/textbooks.md | 38 +++++++++ doc/LectureNotes/textbooks.md~ | 10 +++ 15 files changed, 704 insertions(+) create mode 100644 doc/LectureNotes/_config.yml create mode 100644 doc/LectureNotes/_config.yml~ create mode 100644 doc/LectureNotes/_toc.yml create mode 100644 doc/LectureNotes/_toc.yml~ create mode 100644 doc/LectureNotes/content.md create mode 100644 doc/LectureNotes/intro.md create mode 100644 doc/LectureNotes/intro.md~ create mode 100644 doc/LectureNotes/logo.png create mode 100644 doc/LectureNotes/references.bib create mode 100644 doc/LectureNotes/schedule.md create mode 100644 doc/LectureNotes/schedule.md~ create mode 100644 doc/LectureNotes/teachers.md create mode 100644 doc/LectureNotes/teachers.md~ create mode 100644 doc/LectureNotes/textbooks.md create mode 100644 doc/LectureNotes/textbooks.md~ diff --git a/doc/LectureNotes/_config.yml b/doc/LectureNotes/_config.yml new file mode 100644 index 000000000..b5eb031b5 --- /dev/null +++ b/doc/LectureNotes/_config.yml @@ -0,0 +1,72 @@ +# Book settings +title: Applied Data Analysis and Machine Learning +author: Morten Hjorth-Jensen +logo: logo.png + +latex: + latex_documents: + targetname: book.tex + +repository: + url : https://github.com/mhjensen/Physics321/doc/LectureNotes/_build/html/index.html + +html: + use_repository_button: true + +launch_buttons: + binderhub_url : https://mybinder.org + +html: + use_issues_button: true + +execute: + execute_notebooks : auto # Whether to execute notebooks at build time. Must be one of ("auto", "force", "cache", "off") + cache : "" # A path to the jupyter cache that will be used to store execution artifacs. Defaults to `_build/.jupyter_cache/` + exclude_patterns : [] # A list of patterns to *skip* in execution (e.g. a notebook that takes a really long time) + timeout : 30 # The maximum time (in seconds) each notebook cell is allowed to run. + run_in_temp : false # If `True`, then a temporary directory will be created and used as the command working directory (cwd), + # otherwise the notebook's parent directory will be the cwd. + allow_errors : false # If `False`, when a code cell raises an error the execution is stopped, otherwise all cells are always run. + stderr_output : show # One of 'show', 'remove', 'remove-warn', 'warn', 'error', 'severe' + + +# Parse and render settings +parse: + myst_extended_syntax : false # enable MyST extended syntax support (see documents for details) + myst_url_schemes : [mailto, http, https] # URI schemes that will be recognised as external URLs in Markdown links + + +# HTML-specific settings +html: + favicon : "" # A path to a favicon image + use_edit_page_button : false # Whether to add an "edit this page" button to pages. If `true`, repository information in repository: must be filled in + use_repository_button : false # Whether to add a link to your repository button + use_issues_button : false # Whether to add an "open an issue" button + extra_navbar : Powered by Jupyter Book # Will be displayed underneath the left navbar. + extra_footer : "" # Will be displayed underneath the footer. + google_analytics_id : "" # A GA id that can be used to track book views. + home_page_in_navbar : true # Whether to include your home page in the left Navigation Bar + baseurl : "" # The base URL where your book will be hosted. Used for creating image previews and social links. e.g.: https://mypage.com/mybook/ + comments: + hypothesis : false + utterances : false + +####################################################################################### +# LaTeX-specific settings +latex: + latex_engine : pdflatex # one of 'pdflatex', 'xelatex' (recommended for unicode), 'luatex', 'platex', 'uplatex' + +####################################################################################### +# Launch button settings +launch_buttons: + notebook_interface : classic # The interface interactive links will activate ["classic", "jupyterlab"] + binderhub_url : https://mybinder.org # The URL of the BinderHub (e.g., https://mybinder.org) +# jupyterhub_url : "" # The URL of the JupyterHub (e.g., https://datahub.berkeley.edu) + thebe : false # Add a thebe button to pages (requires the repository to run on Binder) +# colab_url : "" # The URL of Google Colab (https://colab.research.google.com) + +repository: + url : https://github.com/mhjensen/Physics321/doc/LectureNotes/_build/html/index.html # The URL to your book's repository +# path_to_book : "" # A path to your book's folder, relative to the repository root. + branch : master # Which branch of the repository should be used when creating links + diff --git a/doc/LectureNotes/_config.yml~ b/doc/LectureNotes/_config.yml~ new file mode 100644 index 000000000..2080e6a54 --- /dev/null +++ b/doc/LectureNotes/_config.yml~ @@ -0,0 +1,72 @@ +# Book settings +title: Classical mechanics +author: Morten Hjorth-Jensen and Scott Pratt +logo: logo.png + +latex: + latex_documents: + targetname: book.tex + +repository: + url : https://github.com/mhjensen/Physics321/doc/LectureNotes/_build/html/index.html + +html: + use_repository_button: true + +launch_buttons: + binderhub_url : https://mybinder.org + +html: + use_issues_button: true + +execute: + execute_notebooks : auto # Whether to execute notebooks at build time. Must be one of ("auto", "force", "cache", "off") + cache : "" # A path to the jupyter cache that will be used to store execution artifacs. Defaults to `_build/.jupyter_cache/` + exclude_patterns : [] # A list of patterns to *skip* in execution (e.g. a notebook that takes a really long time) + timeout : 30 # The maximum time (in seconds) each notebook cell is allowed to run. + run_in_temp : false # If `True`, then a temporary directory will be created and used as the command working directory (cwd), + # otherwise the notebook's parent directory will be the cwd. + allow_errors : false # If `False`, when a code cell raises an error the execution is stopped, otherwise all cells are always run. + stderr_output : show # One of 'show', 'remove', 'remove-warn', 'warn', 'error', 'severe' + + +# Parse and render settings +parse: + myst_extended_syntax : false # enable MyST extended syntax support (see documents for details) + myst_url_schemes : [mailto, http, https] # URI schemes that will be recognised as external URLs in Markdown links + + +# HTML-specific settings +html: + favicon : "" # A path to a favicon image + use_edit_page_button : false # Whether to add an "edit this page" button to pages. If `true`, repository information in repository: must be filled in + use_repository_button : false # Whether to add a link to your repository button + use_issues_button : false # Whether to add an "open an issue" button + extra_navbar : Powered by Jupyter Book # Will be displayed underneath the left navbar. + extra_footer : "" # Will be displayed underneath the footer. + google_analytics_id : "" # A GA id that can be used to track book views. + home_page_in_navbar : true # Whether to include your home page in the left Navigation Bar + baseurl : "" # The base URL where your book will be hosted. Used for creating image previews and social links. e.g.: https://mypage.com/mybook/ + comments: + hypothesis : false + utterances : false + +####################################################################################### +# LaTeX-specific settings +latex: + latex_engine : pdflatex # one of 'pdflatex', 'xelatex' (recommended for unicode), 'luatex', 'platex', 'uplatex' + +####################################################################################### +# Launch button settings +launch_buttons: + notebook_interface : classic # The interface interactive links will activate ["classic", "jupyterlab"] + binderhub_url : https://mybinder.org # The URL of the BinderHub (e.g., https://mybinder.org) +# jupyterhub_url : "" # The URL of the JupyterHub (e.g., https://datahub.berkeley.edu) + thebe : false # Add a thebe button to pages (requires the repository to run on Binder) +# colab_url : "" # The URL of Google Colab (https://colab.research.google.com) + +repository: + url : https://github.com/mhjensen/Physics321/doc/LectureNotes/_build/html/index.html # The URL to your book's repository +# path_to_book : "" # A path to your book's folder, relative to the repository root. + branch : master # Which branch of the repository should be used when creating links + diff --git a/doc/LectureNotes/_toc.yml b/doc/LectureNotes/_toc.yml new file mode 100644 index 000000000..b39daaede --- /dev/null +++ b/doc/LectureNotes/_toc.yml @@ -0,0 +1,25 @@ +- file: intro +- part: About the course + chapters: + - file: schedule + - file: teachers + - file: textbooks +- part: From Regression to Support Vector Machines + numbered: true + chapters: + - file: chapter1.ipynb + - file: chapter2.ipynb + - file: chapter3.ipynb + - file: chapter4.ipynb +- part: Deep Learning + numbered: true + chapters: + - file: chapter5.ipynb + - file: chapter6.ipynb + - file: chapter7.ipynb + - file: chapter8.ipynb +- part: Trees and Ensemble Methods + numbered: true + chapters: + - file: chapter9.ipynb + - file: chapter10.ipynb diff --git a/doc/LectureNotes/_toc.yml~ b/doc/LectureNotes/_toc.yml~ new file mode 100644 index 000000000..b4fb57ed2 --- /dev/null +++ b/doc/LectureNotes/_toc.yml~ @@ -0,0 +1,20 @@ +- file: intro +- part: About the course + chapters: + - file: schedule + - file: teachers + - file: textbooks +- part: Introductory Material + numbered: true + chapters: + - file: chapter1.ipynb + - file: chapter2.ipynb + - file: chapter3.ipynb + - file: chapter4.ipynb +- part: Advanced Topics + numbered: true + chapters: + - file: chapter5.ipynb + - file: chapter6.ipynb + - file: chapter7.ipynb + - file: chapter8.ipynb diff --git a/doc/LectureNotes/content.md b/doc/LectureNotes/content.md new file mode 100644 index 000000000..0f6aca77a --- /dev/null +++ b/doc/LectureNotes/content.md @@ -0,0 +1,5 @@ +Content in Jupyter Book +======================= + +There are many ways to write content in Jupyter Book. This short section +covers a few tips for how to do so. diff --git a/doc/LectureNotes/intro.md b/doc/LectureNotes/intro.md new file mode 100644 index 000000000..811e85085 --- /dev/null +++ b/doc/LectureNotes/intro.md @@ -0,0 +1,145 @@ +# Applied Data Analysis and Machine Learning + + +## Introduction + +Probability theory and statistical methods play a central role in science. Nowadays we are +surrounded by huge amounts of data. For example, there are about one trillion web pages; more than one +hour of video is uploaded to YouTube every second, amounting to years of content every +day; the genomes of 1000s of people, each of which has a length of more than a billion base pairs, have +been sequenced by various labs and so on. This deluge of data calls for automated methods of data analysis, +which is exactly what machine learning aims at providing. + +## Learning outcomes + +This course aims at giving you insights and knowledge about many of the central algorithms used in Data Analysis and Machine Learning. The course is project based and through various numerical projects, normally three, you will be exposed to fundamental research problems in these fields, with the aim to reproduce state of the art scientific results. Both supervised and unsupervised methods will be covered. The emphasis is on a frequentist approach, although we will try to link it with a Bayesian approach as well. You will learn to develop and structure large codes for studying different cases where Machine Learning is applied to, 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, after this course you will + +- Learn about basic data analysis, statistical analysis, Bayesian statistics, Monte Carlo sampling, data optimization and machine learning; +- Be capable of extending the acquired knowledge to other systems and cases; +- Have an understanding of central algorithms used in data analysis and machine learning; +- Understand linear methods for regression and classification, from ordinary least squares, via Lasso and Ridge to Logistic regression; +- Learn about neural networks and deep learning methods for supervised and unsupervised learning. Emphasis on feed forward neural networks, convolutional and recurrent neural networks; +- Learn about about decision trees, random forests, bagging and boosting methods; +- Learn about support vector machines and kernel transformations; +- Reduction of data sets, from PCA to clustering; +- Autoencoders and Reinforcement Learning; +- 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++ and/or Fortran (Fortran2003 or later). + +## Prerequisites + +Basic knowledge in programming and mathematics, with an emphasis on +linear algebra. Knowledge of Python or/and C++ as programming +languages is strongly recommended and experience with Jupiter notebook +is recommended. Required courses are the equivalents to the University +of Oslo mathematics courses MAT1100, MAT1110, MAT1120 and at least one +of the corresponding computing and programming courses INF1000/INF1110 +or MAT-INF1100/MAT-INF1100L/BIOS1100/KJM-INF1100. Most universities +offer nowadays a basic programming course (often compulsory) where +Python is the recurring programming language. + + +## The course has two central parts + +1. Statistical analysis and optimization of data +2. Machine learning + +These topics will be scattered thorughout the course and may not necessarily be taught separately. Rather, we will often take an approach (during the lectures and project/exercise sessions) where say elements from statistical data analysis are mixed with specific Machine Learning algorithms. + +### Statistical analysis and optimization of data + +The following topics will be covered +- Basic concepts, expectation values, variance, covariance, correlation functions and errors; +- Simpler models, binomial distribution, the Poisson distribution, simple and multivariate normal distributions; +- Central elements of Bayesian statistics and modeling; +- Gradient methods for data optimization, +- Monte Carlo methods, Markov chains, Gibbs sampling and Metropolis-Hastings sampling; +- Estimation of errors and resampling techniques such as the cross-validation, blocking, bootstrapping and jackknife methods; +- Principal Component Analysis (PCA) and its mathematical foundation + +### Machine learning + +The following topics will be covered: +- Linear Regression and Logistic Regression; +- Neural networks and deep learning, including convolutional and recurrent neural networks +- Decisions trees, Random Forests, Bagging and Boosting +- Support vector machines +- Bayesian linear and logistic regression +- Boltzmann Machines +- Unsupervised learning Dimensionality reduction, from PCA to cluster models + +Hands-on demonstrations, exercises and projects aim at deepening your understanding of these topics. + +Computational aspects play a central role and you are +expected to work on numerical examples and projects which illustrate +the theory and varous algorithms discussed during the lectures. We recommend strongly to form small project groups of 2-3 participants, if possible. + +## Required Technologies + +Course participants are expected to have their own laptops/PCs. We use _Git_ as version control software and the usage of providers like _GitHub_, _GitLab_ or similar are strongly recommended. + +We will make extensive use of Python as programming language and its +myriad of available libraries. You will find +Jupyter notebooks invaluable in your work. You can run _R_ +codes in the Jupyter/IPython notebooks, with the immediate benefit of +visualizing your data. You can also use compiled languages like C++, +Rust, Julia, Fortran etc if you prefer. The focus in these lectures will be mainly +on Python. + + +If you have Python installed and you feel +pretty familiar with installing different packages, we recommend that +you install the following Python packages via _pip_ as + +* pip install numpy scipy matplotlib ipython scikit-learn mglearn sympy pandas pillow + +For OSX users we recommend, after having installed Xcode, to +install _brew_. Brew allows for a seamless installation of additional +software via for example + +* brew install python3 + +For Linux users, with its variety of distributions like for example the widely popular Ubuntu distribution, +you can use _pip_ as well and simply install Python as + +* sudo apt-get install python3 + +### Python installers + +If you don't want to perform these operations separately and venture +into the hassle of exploring how to set up dependencies and paths, we +recommend two widely used distrubutions which set up all relevant +dependencies for Python, namely + +* Anaconda:https://docs.anaconda.com/, + +which is an open source +distribution of the Python and R programming languages for large-scale +data processing, predictive analytics, and scientific computing, that +aims to simplify package management and deployment. Package versions +are managed by the package management system _conda_. + +* Enthought canopy:https://www.enthought.com/product/canopy/ + +is a Python +distribution for scientific and analytic computing distribution and +analysis environment, available for free and under a commercial +license. + +Furthermore, Google's Colab:https://colab.research.google.com/notebooks/welcome.ipynb is a free Jupyter notebook environment that requires +no setup and runs entirely in the cloud. Try it out! + +### Useful Python libraries +Here we list several useful Python libraries we strongly recommend (if you use anaconda many of these are already there) + +* _NumPy_:https://www.numpy.org/ is a highly popular library for large, multi-dimensional arrays and matrices, along with a large collection of high-level mathematical functions to operate on these arrays +* _The pandas_:https://pandas.pydata.org/ library provides high-performance, easy-to-use data structures and data analysis tools +* _Xarray_:http://xarray.pydata.org/en/stable/ is a Python package that makes working with labelled multi-dimensional arrays simple, efficient, and fun! +* _Scipy_:https://www.scipy.org/ (pronounced “Sigh Pie”) is a Python-based ecosystem of open-source software for mathematics, science, and engineering. +* _Matplotlib_:https://matplotlib.org/ is a Python 2D plotting library which produces publication quality figures in a variety of hardcopy formats and interactive environments across platforms. +* _Autograd_:https://github.com/HIPS/autograd can automatically differentiate native Python and Numpy code. It can handle a large subset of Python's features, including loops, ifs, recursion and closures, and it can even take derivatives of derivatives of derivatives +* _SymPy_:https://www.sympy.org/en/index.html is a Python library for symbolic mathematics. +* _scikit-learn_:https://scikit-learn.org/stable/ has simple and efficient tools for machine learning, data mining and data analysis +* _TensorFlow_:https://www.tensorflow.org/ is a Python library for fast numerical computing created and released by Google +* _Keras_:https://keras.io/ is a high-level neural networks API, written in Python and capable of running on top of TensorFlow, CNTK, or Theano +* And many more such as _pytorch_:https://pytorch.org/, _Theano_:https://pypi.org/project/Theano/ etc + diff --git a/doc/LectureNotes/intro.md~ b/doc/LectureNotes/intro.md~ new file mode 100644 index 000000000..0c3dd4b10 --- /dev/null +++ b/doc/LectureNotes/intro.md~ @@ -0,0 +1,41 @@ +# PHY321 Classical Mechanics I, Michigan State University, Spring 2021 + +This is the Jupyter-Book for the Classical Mechanics course at MSU + +![plot](logo.png) + +## Learning outcomes + +After the course you should: + +- be able to analyze forces that act on objects, apply Newton’s laws to determine the equations of motion, and solve these analytically and numerically, +- Know about inertial frames and their relation to accelerating and rotating frames (non-inertial frames) +- Know about forces, work, energy, angular momentum, linear momentum and conservation laws +- Know about various types of motions, falling objects, objects moving in various fields +- Know how to analyze energy diagrams and defining effective potential +- Have knowledge about small oscillations, Harmonic oscillator potential and equations of motion +- Have knowledge about transformation of variables that allow for analytical solutions, example two-body problems +- Have knowledge about central forces and two-body problems, center-of-mass and relative coordinates as reference frame +- Have knowledge about two-body scattering problems, classical scattering cross section +- Have knowledge about Variational calculus and Lagrangian formalism +- Know how to derive the equations of motion from the Lagrangian formalism with and without constraints (Lagrangian multipliers) + +To solve many of these problems, we have through different projects and weekly exercises studied many systems numerically, from falling objects with and without friction/air resistance, small oscillations (harmonic oscillator), gravitational problems and other central force problems, rotations and the classical pendulum. To solve these systems, we have applied different algorithms for solving differential equations. These are +- Euler-Cromer and Velocity-Verlet as energy conserving algorithms (time-independent forces) +- Runge-Kutta family of algorithms for time-dependent forces +We have also, in connection with for example the work-energy theorem studied methods for evaluating integrals. These are +- Numerical integration using the Trapezoidal, midpoint and Simpson's rule. + +You should also have acquired skills in structuring a numerical project, as well as having developed a critical understanding of the pros and cons of the methods and an understanding of their limits and what can go wrong. Computing means solving scientific problems using computers. It covers numerical as well as symbolic computing. Computing is also about developing an understanding of the scientific process by enhancing algorithmic thinking when solving problems. Computing competence has +always been a central part of the science and engineering education. +In particular, some of the competences that are important in the development of your own understanding of +computations, we would like to emphasize +- derivation, verification, and implementation of algorithms +- understanding what can go wrong with algorithms +- overview of important, known algorithms for solving mechanics problems (To a extent large differential equations and integration) +- understanding how algorithms are used to solve mathematical problems +- Making science (your results) reproducible +- algorithmic thinking for gaining deeper insights about scientific problems + + + diff --git a/doc/LectureNotes/logo.png b/doc/LectureNotes/logo.png new file mode 100644 index 0000000000000000000000000000000000000000..4ab529a39e5aacaf631c56a54e05fe2f8bd06aab GIT binary patch literal 700391 zcmeFYbyQSs-zbctC?!aDONVqbbV`eqFocwpbTcR=-Cfcs-61dnN=lb>gLL=I>@#>j 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