Online courses directory (19)

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Starts : 2015-02-01
14 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Graduate Mathematics MIT OpenCourseWare

This course is organized around algorithmic issues that arise in machine learning. Modern machine learning systems are often built on top of algorithms that do not have provable guarantees, and it is the subject of debate when and why they work. In this class, we focus on designing algorithms whose performance we can rigorously analyze for fundamental machine learning problems.

Starts : 2013-02-08
99 votes
Coursera Free Closed [?] Computer Sciences Combinatorics Mathematics

This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part I covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis of algorithms and basic structures such as permutations, trees, strings, words, and mappings.

Starts : 2014-09-01
15 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Mathematics MIT OpenCourseWare Undergraduate

This course analyzes combinatorial problems and methods for their solution. Topics include: enumeration, generating functions, recurrence relations, construction of bijections, introduction to graph theory, network algorithms, and extremal combinatorics.

Starts : 2003-09-01
9 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Mathematics MIT OpenCourseWare Undergraduate

Combinatorial Optimization provides a thorough treatment of linear programming and combinatorial optimization. Topics include network flow, matching theory, matroid optimization, and approximation algorithms for NP-hard problems.

4 votes
Saylor.org Free Closed [?] Mathematics Computer Science Discrete Math

This course has been designed to provide you with a clear, accessible introduction to discrete mathematics. Discrete mathematics describes processes that consist of a sequence of individual steps (as compared to calculus, which describes processes that change in a continuous manner). The principal topics presented in this course are logic and proof, induction and recursion, discrete probability, and finite state machines. As you progress through the units of this course, you will develop the mathematical foundations necessary for more specialized subjects in computer science, including data structures, algorithms, and compiler design. Upon completion of this course, you will have the mathematical know-how required for an in-depth study of the science and technology of the computer age.

Starts : 2004-02-01
15 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Mathematics MIT OpenCourseWare Undergraduate

This course introduces students to iterative decoding algorithms and the codes to which they are applied, including Turbo Codes, Low-Density Parity-Check Codes, and Serially-Concatenated Codes. The course will begin with an introduction to the fundamental problems of Coding Theory and their mathematical formulations. This will be followed by a study of Belief Propagation--the probabilistic heuristic which underlies iterative decoding algorithms. Belief Propagation will then be applied to the decoding of Turbo, LDPC, and Serially-Concatenated codes. The technical portion of the course will conclude with a study of tools for explaining and predicting the behavior of iterative decoding algorithms, including EXIT charts and Density Evolution.

Starts : 2016-01-04
116 votes
Coursera Free Closed [?] Computer Sciences English Artificial Intelligence Computer Science Engineering Mathematics

In this class you will look behind the scenes of image and video processing, from the basic and classical tools to the most modern and advanced algorithms.

Starts : 2009-09-01
9 votes
MIT OpenCourseWare (OCW) Free Business Graduate MIT OpenCourseWare Sloan School of Management

The course is a comprehensive introduction to the theory, algorithms and applications of integer optimization and is organized in four parts: formulations and relaxations, algebra and geometry of integer optimization, algorithms for integer optimization, and extensions of integer optimization.

Starts : 2004-09-01
20 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Graduate Mathematics MIT OpenCourseWare

This course introduces the basic computational methods used to understand the cell on a molecular level. It covers subjects such as the sequence alignment algorithms: dynamic programming, hashing, suffix trees, and Gibbs sampling. Furthermore, it focuses on computational approaches to: genetic and physical mapping; genome sequencing, assembly, and annotation; RNA expression and secondary structure; protein structure and folding; and molecular interactions and dynamics.

Starts : 2009-09-01
11 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Electrical Engineering and Computer Science Graduate MIT OpenCourseWare

This course is an introduction to linear optimization and its extensions emphasizing the underlying mathematical structures, geometrical ideas, algorithms and solutions of practical problems. The topics covered include: formulations, the geometry of linear optimization, duality theory, the simplex method, sensitivity analysis, robust optimization, large scale optimization network flows, solving problems with an exponential number of constraints and the ellipsoid method, interior point methods, semidefinite optimization, solving real world problems problems with computer software, discrete optimization formulations and algorithms.

Starts : 2010-09-01
14 votes
MIT OpenCourseWare (OCW) Free Mathematics Graduate MIT OpenCourseWare

This course offers an advanced introduction to numerical linear algebra. Topics include direct and iterative methods for linear systems, eigenvalue decompositions and QR/SVD factorizations, stability and accuracy of numerical algorithms, the IEEE floating point standard, sparse and structured matrices, preconditioning, linear algebra software. Problem sets require some knowledge of MATLAB®.

Starts : 2010-09-01
9 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Graduate Mathematics MIT OpenCourseWare

This course offers an advanced introduction to numerical linear algebra. Topics include direct and iterative methods for linear systems, eigenvalue decompositions and QR/SVD factorizations, stability and accuracy of numerical algorithms, the IEEE floating point standard, sparse and structured matrices, preconditioning, linear algebra software. Problem sets require some knowledge of MATLAB®.

Starts : 2014-10-20
32 votes
Coursera Free Mathematics English

This course will cover the very basic ideas in optimization. Topics include the basic theory and algorithms behind linear and integer linear programming along with some of the important applications. We will also explore the theory of convex polyhedra using linear programming.

Starts : 2015-02-01
10 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Electrical Engineering and Computer Science MIT OpenCourseWare Undergraduate

This subject offers an interactive introduction to discrete mathematics oriented toward computer science and engineering. The subject coverage divides roughly into thirds:

  1. Fundamental concepts of mathematics: Definitions, proofs, sets, functions, relations.
  2. Discrete structures: graphs, state machines, modular arithmetic, counting.
  3. Discrete probability theory.

On completion of 6.042J, students will be able to explain and apply the basic methods of discrete (noncontinuous) mathematics in computer science. They will be able to use these methods in subsequent courses in the design and analysis of algorithms, computability theory, software engineering, and computer systems.

Interactive site components can be found on the Unit pages in the left-hand navigational bar, starting with Unit 1: Proofs.

Starts : 2007-09-01
17 votes
MIT OpenCourseWare (OCW) Free Closed [?] Computer Sciences Mathematics MIT OpenCourseWare Undergraduate

Principles of Applied Mathematics is a study of illustrative topics in discrete applied mathematics including sorting algorithms, information theory, coding theory, secret codes, generating functions, linear programming, game theory. There is an emphasis on topics that have direct application in the real world.

This course was recently revised to meet the MIT Undergraduate Communication Requirement (CR). It covers the same content as 18.310, but assignments are structured with an additional focus on writing.

Starts : 2003-09-01
8 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Graduate Mathematics MIT OpenCourseWare

This course provides an introduction to the theory and practice of quantum computation. Topics covered include: physics of information processing, quantum logic, quantum algorithms including Shor's factoring algorithm and Grover's search algorithm, quantum error correction, quantum communication, and cryptography.

Starts : 2004-02-01
10 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Graduate Mathematics MIT OpenCourseWare

In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We will start with non-bipartite matchings and cover many results extending the fundamental results of matchings, flows and matroids. The emphasis is on the derivation of purely combinatorial results, including min-max relations, and not so much on the corresponding algorithmic questions of how to find such objects. The intended audience consists of Ph.D. students interested in optimization, combinatorics, or combinatorial algorithms.

Starts : 2007-02-01
10 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Graduate Mathematics MIT OpenCourseWare

The main goal of this course is to study the generalization ability of a number of popular machine learning algorithms such as boosting, support vector machines and neural networks. Topics include Vapnik-Chervonenkis theory, concentration inequalities in product spaces, and other elements of empirical process theory.

Starts : 2003-02-01
17 votes
MIT OpenCourseWare (OCW) Free Computer Sciences Graduate Mathematics MIT OpenCourseWare

Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image processing are developed. Subject is project-based for engineering and scientific applications.

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