Este curso forma parte de Programa especializado: Introduction to Discrete Mathematics for Computer Science

4.7
estrellas
358 calificaciones

Alexander S. Kulikov

19.175 ya inscrito

Ofrecido Por

Programa especializado: Introduction to Discrete Mathematics for Computer ScienceUniversity of California San Diego

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In this online course we’ll implement (in Python) together efficient programs for a problem needed by delivery companies all over the world millions times per day — the travelling salesman problem. The goal in this problem is to visit all the given places as quickly as possible. How to find an optimal solution to this problem quickly? We still don’t have provably efficient algorithms for this difficult computational problem and this is the essence of the P versus NP problem, the most important open question in Computer Science. Still, we’ll implement several solutions for real world instances of the travelling salesman problem.
While designing these solutions, we will rely heavily on the material learned in the courses of the specialization: proof techniques, combinatorics, probability, graph theory. We’ll see several examples of using discrete mathematics ideas to get more and more efficient solutions.

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Curso 5 de 5 en

Programa especializado: Introduction to Discrete Mathematics for Computer Science

Nivel principiante

Aprox. 13 horas para completar

Inglés (English)

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.

Certificado para compartir

Obtén un certificado al finalizar

100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Curso 5 de 5 en

Programa especializado: Introduction to Discrete Mathematics for Computer Science

Nivel principiante

Aprox. 13 horas para completar

Inglés (English)

Instructor

Calificación del instructor

4,65/5 (24 calificaciones)

Alexander S. Kulikov

Professor

Department of Mathematics and Computer Science

700.100 alumnos

13 cursos

Ofrecido por

University of California San Diego

Programa - Qué aprenderás en este curso

Semana

Semana 1

5 horas para completar

Traveling Salesman Problem

We start this module with the definition of mathematical model of the delivery problem — the classical traveling salesman problem (usually abbreviated as TSP). We'll then review just a few of its many applications: from straightforward ones (delivering goods, planning a trip) to less obvious ones (data storage and compression, genome assembly). After that, we will together take the first steps in implementing programs for TSP.

5 horas para completar

4 videos (Total 43 minutos), 1 lectura, 5 cuestionarios

Semana

Semana 2

4 horas para completar

Exact Algorithms

We'll see two general techniques applied to the traveling salesman problem. The first one, branch and bound, is a classical approach in combinatorial optimization that is used for various problems. It can be seen as an improvement of the brute force search: we try to construct a permutation piece by piece, but at each step we check whether it still makes sense to continue constructing the permutation (if it doesn't, we just cut off the current branch). The second one, dynamic programming, is arguably the most popular algorithmic technique. It solves a problem by going through a collection of smaller subproblems.

4 horas para completar

4 videos (Total 49 minutos)

Semana

Semana 3

4 horas para completar

Approximation Algorithms

As we've seen in the previous modules, solving the traveling salesman problem exactly is hard. In fact, we don't even expect an efficient solution in the nearest future. For this reason, it makes sense to ask: is it possible to find efficiently a solution that is probably suboptimal, but at the same time is close to optimal? It turns out that the answer is yes! We'll learn two algorithms. The first one guarantees to find quickly a solution which is at most twice longer than the optimal one. The second algorithms does not have such guarantees, but it is known to work pretty well in practice.

4 horas para completar

2 videos (Total 20 minutos)

Reseñas

4.7

48 reseña

5 stars
76,53 %
4 stars
18,15 %
3 stars
2,79 %
2 stars
2,23 %
1 star
0,27 %

Principales reseñas sobre DELIVERY PROBLEM

por DS19 de sep. de 2020

Amazing course with lots of intuitive examples and puzzles

por LA30 de oct. de 2020

VERY GOOD COURSE IT IS SO BENTIFITIAL TO THE PEOLPLE WHO ARE INTERTESTED TO DEVELOP THE MATHEMATICAL SKILLS

por AG27 de jun. de 2020

Well structured introductory course into transportation problems. The code in examples is well written and clean. It was a pleasure to study this course.

por LF13 de ene. de 2020

This is a very nice course. I feel that a further explanation in the coding problems would be useful since sometimes you are not sure what one should return from the function.

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Acerca de Programa especializado: Introduction to Discrete Mathematics for Computer Science

Discrete Mathematics is the language of Computer Science. One needs to be fluent in it to work in many fields including data science, machine learning, and software engineering (it is not a coincidence that math puzzles are often used for interviews). We introduce you to this language through a fun try-this-before-we-explain-everything approach: first you solve many interactive puzzles that are carefully designed specifically for this online specialization, and then we explain how to solve the puzzles, and introduce important ideas along the way. We believe that this way, you will get a deeper understanding and will better appreciate the beauty of the underlying ideas (not to mention the self confidence that you gain if you invent these ideas on your own!). To bring your experience closer to IT-applications, we incorporate programming examples, problems, and projects in the specialization.

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Cuando compras un Certificado, obtienes acceso a todos los materiales del curso, incluidas las tareas calificadas. Una vez que completes el curso, se añadirá tu Certificado electrónico a la página Logros. Desde allí, puedes imprimir tu Certificado o añadirlo a tu perfil de LinkedIn. Si solo quieres leer y visualizar el contenido del curso, puedes participar del curso como oyente sin costo.
¿Hay ayuda económica disponible?
Sí. En ciertos programas de aprendizaje, puedes postularte para recibir ayuda económica o una beca en caso de no poder costear los gastos de la tarifa de inscripción. Si hay ayuda económica o becas disponibles para tu selección de programa de aprendizaje, verás un enlace para postularte en la página de descripción.

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Delivery Problem

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