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A University of Maryland lecturer's page linking to notes and resources for mathematics and computer science courses, including calculus, differential equations, linear algebra, abstract algebra, number theory, and algorithms. It also offers standalone class notes applicable to multiple courses.
Incanter is a Clojure-based, R-like platform for statistical computing and graphics. It provides charting and visualization, mathematical, statistical, matrix and linear algebra, and data manipulation functions. It can be used as a standalone interactive data analysis environment or embedded within other analytics systems as a modular suite of libraries.
lambda-ml is a small machine learning library written in Lisp, specifically Clojure, aimed at simple, concise implementations of machine learning techniques and utilities. It covers supervised algorithms such as neural networks, decision trees, ensemble methods, k-nearest neighbors, linear and logistic regression, naive Bayes and random forest, plus unsupervised methods including DBSCAN, hierarchical clustering, k-means and non-negative matrix factorization.
Leanpass is a NumPy-based autodiff library for small neural network experiments, designed to be readable and simple to inspect for learning how automatic differentiation works. It provides tensors with reverse-mode autodiff, activation functions, linear layers, multilayer perceptrons, loss utilities, and SGD and Adam optimizers. Its only dependency is NumPy.
A staged learning roadmap for machine learning that covers mathematics and calculus, programming, and machine learning concepts. It advises moving to the next stage only after fully understanding the current one. The mathematics section covers linear algebra, calculus, and probability and statistics, and the programming section covers Python basics and advanced Python.
ManifoldLearning.jl is a Julia package for manifold learning and nonlinear dimensionality reduction. It provides methods including Isomap, diffusion maps, locally linear embedding, Hessian eigenmaps, Laplacian eigenmaps, local tangent space alignment and t-SNE. Most methods use k-nearest neighbors to construct local subspace representation, and a custom k-nearest neighbors function is suggested for large datasets.
A repository of material for the exercise classes of a Big Data Analytics master course. Hands-on sessions cover Spark and its machine learning library, Map/Reduce implementations of linear regression and alternating least squares, streaming analytics with Recursive Least Squares, and image classification with convolutional neural networks. Material is provided as Jupyter notebooks.
MathOnline is a Wikidot site offering notes on undergraduate mathematics topics, including calculus, linear algebra, topology and number theory. The notes include examples and visuals, and the author states pages may contain typos or errors.
matlib is a Clojure library of optimisation and control theory tools and convenience functions based on the Neanderthal linear algebra library. It is available as a public repository on GitHub.
MatrixCalc is a web-based matrix calculation tool. It performs matrix operations including addition, multiplication, inversion, determinant and rank calculation, transposition, diagonalization, row echelon form conversion, exponentiation, LU decomposition, QR decomposition, and singular value decomposition. It also solves systems of linear equations with step-by-step solutions. Users can input decimal fractions, mathematical expressions, matrix literals, and use built-in functions for calculations.
MicroPad is an open-source, free non-linear note-taking app with an infinite canvas for organising notes and notebooks. It runs in a web browser and on Windows, macOS and Linux, and supports μSync for synchronising notes across devices. It can import Evernote enex files and Markdown files, and export notes to markdown-formatted plain text.
MIT 6.S191 is MIT's introductory program on deep learning methods, with applications in vision, robotics, medicine, language, game play, art and more. It is described as a high-intensity bootcamp teaching deep learning fundamentals, with lectures, software labs and a final project proposal competition. Prerequisites assume calculus and linear algebra.
Machine Learning Visualized is a book of Jupyter Notebooks that implement and mathematically derive machine learning algorithms from first principles. Each notebook's output is a visualization of the algorithm during training, converging at its optimal weights. Chapters cover optimization, clustering and reduction, linear models and activation functions, and neural networks.
ML-From-Scratch is a GitHub repository that provides bare bones NumPy implementations of machine learning models and algorithms with a focus on accessibility, aiming to cover methods from linear regression to deep learning.
Neanderthal is a Clojure library for fast native matrix and linear algebra, built with native BLAS and LAPACK for number crunching and wrapped in a small Clojure layer. It offers pluggable engine implementations, including a pure Java engine, plus primitive versions of map and reduce.
Nightmare is an introductory course on binary exploitation and reverse engineering built around CTF challenges. Its materials are structured linearly and include documented write-ups for each challenge, with most modules offering multiple problems per topic so learners can apply an attack technique to different iterations. The course uses only free and open source tools, and its static site is built with mdbook.
Nilearn provides statistical and machine-learning tools for analyses of brain volumes and surfaces, with documentation and a community. It supports general linear model based analysis and uses the scikit-learn toolbox for multivariate statistics, with applications such as predictive modeling, classification, decoding and connectivity analysis. It is written in Python and installable with pip.
An NLP toolbox for Matlab under development by researchers at UC Berkeley's AMPLab, intended to process natural language within Matlab rather than switching to other languages. It includes modules for text tokenization, text preprocessing such as stop word removal and stemming, and learning algorithms including linear regression, decision trees, support vector machines and a Naive Bayes classifier.
NumPy is a Python library providing a multidimensional array object and routines for fast operations on arrays, including mathematical, logical, sorting, Fourier transforms, linear algebra and random simulation. It is open source under a BSD license and is described as the fundamental package for scientific computing in Python, with core code written in optimized C.
A C++ implementation of an Ordinary Least Squares solver and linear regression engine with zero external dependencies. It uses a custom matrix library, modified Gram-Schmidt orthogonalization and QR decomposition. It includes a CSV test dataset from the Czech film market and computes error metrics such as RSS and MAE.
OMNIWeb is a NASA Space Physics Data Facility service providing hourly near-Earth solar wind magnetic field and plasma data, energetic proton fluxes above 1 to 60 MeV, and geomagnetic and solar activity indices. It offers plots, listings, output files, scatter plots with linear regression fits, and event or hourly lists with filtering.
The OpenConnect VPN server (ocserv) is an open source Linux SSL VPN server designed for organizations requiring a remote access VPN with enterprise user management and control. It secures VPN channels using standard protocols like TLS and Datagram TLS, and its performance scales linearly with the number of CPUs.
Orange is an open-source machine learning and data visualization toolbox. It offers visual programming in which widgets are placed on a canvas and connected to load datasets and analyze data. It supports interactive visualization methods including box plots, scatter plots, decision trees, hierarchical clustering, heatmaps, MDS, t-SNE and linear projections. Extensions add text mining, network analysis and other specialized capabilities.