Об этом курсе: A good algorithm usually comes together with a set of good data structures that allow the algorithm to manipulate the data efficiently. In this course, we consider the common data structures that are used in various computational problems. You will learn how these data structures are implemented in different programming languages and will practice implementing them in our programming assignments. This will help you to understand what is going on inside a particular built-in implementation of a data structure and what to expect from it. You will also learn typical use cases for these data structures. A few examples of questions that we are going to cover in this class are the following: 1. What is a good strategy of resizing a dynamic array? 2. How priority queues are implemented in C++, Java, and Python? 3. How to implement a hash table so that the amortized running time of all operations is O(1) on average? 4. What are good strategies to keep a binary tree balanced? You will also learn how services like Dropbox manage to upload some large files instantly and to save a lot of storage space!
Для кого этот курс: Programmers with basic experience looking to understand the practical and conceptual underpinnings of algorithms, with the goal of becoming more effective software engineers. Computer science students and researchers as well as interdisciplinary students (studying electrical engineering, mathematics, bioinformatics, etc.) aiming to get more profound understanding of algorithms and hands-on experience implementing them and applying for real-world problems. Applicants who want to prepare for an interview in a high-tech company.
Автор: Калифорнийский университет в Сан-Диего, Национальный исследовательский университет "Высшая школа экономики"
Преподаватели: Alexander S. Kulikov, Visiting Professor
Department of Computer Science and Engineering
Преподаватели: Michael Levin, Lecturer
Computer Science
Преподаватели: Daniel M Kane, Assistant Professor
Department of Computer Science and Engineering / Department of Mathematics
Преподаватели: Neil Rhodes, Adjunct Faculty
Computer Science and Engineering
| Основные сведения | Course 2 of 6 in the Data Structures and Algorithms Specialization |
| Уровень | Intermediate |
| Выполнение | 4 weeks of study, 5-10 hours/week |
| Язык | English |
| Как пройти курс | Чтобы пройти курс, выполните все оцениваемые задания. |
| Оценки пользователей |
Программа курса
НЕДЕЛЯ 1
Basic Data Structures
In this module, you will learn about the basic data structures used throughout the rest of this course. We start this module by looking in detail at the fundamental building blocks: arrays and linked lists. From there, we build up two important data structures: stacks and queues. Next, we look at trees: examples of how they’re used in Computer Science, how they’re implemented, and the various ways they can be traversed. Once you’ve completed this module, you will be able to implement any of these data structures, as well as have a solid understanding of the costs of the operations, as well as the tradeoffs involved in using each data structure.
7 видео, 7 материала для самостоятельного изучения, 1 тренировочный тест
- Lecture: Welcome
- Видео: Singly-Linked Lists
- Видео: Doubly-Linked Lists
- Lecture: Slides and External References
- Видео: Stacks
- Видео: Queues
- Lecture: Slides and External References
- Видео: Trees
- Видео: Tree Traversal
- Lecture: Slides and External References
- Quiz pour s'exercer: Basic Data Structures
- Lecture: Available Programming Languages
- Lecture: FAQ on Programming Assignments
- Lecture: Acknowledgements
Оцениваемый: Programming Assignment 1: Basic Data Structures
НЕДЕЛЯ 2
Dynamic Arrays and Amortized Analysis
In this module, we discuss Dynamic Arrays: a way of using arrays when it is unknown ahead-of-time how many elements will be needed. Here, we also discuss amortized analysis: a method of determining the amortized cost of an operation over a sequence of operations. Amortized analysis is very often used to analyse performance of algorithms when the straightforward analysis produces unsatisfactory results, but amortized analysis helps to show that the algorithm is actually efficient. It is used both for Dynamic Arrays analysis and will also be used in the end of this course to analyze Splay trees.
5 видео, 1 материал для самостоятельного изучения
- Видео: Amortized Analysis: Aggregate Method
- Видео: Amortized Analysis: Banker's Method
- Видео: Amortized Analysis: Physicist's Method
- Видео: Amortized Analysis: Summary
- Lecture: Slides and External References
Оцениваемый: Dynamic Arrays and Amortized Analysis
НЕДЕЛЯ 3
Priority Queues and Disjoint Sets
We start this module by considering priority queues which are used to efficiently schedule jobs, either in the context of a computer operating system or in real life, to sort huge files, which is the most important building block for any Big Data processing algorithm, and to efficiently compute shortest paths in graphs, which is a topic we will cover in our next course. For this reason, priority queues have built-in implementations in many programming languages, including C++, Java, and Python. We will see that these implementations are based on a beautiful idea of storing a complete binary tree in an array that allows to implement all priority queue methods in just few lines of code. We will then switch to disjoint sets data structure that is used, for example, in dynamic graph connectivity and image processing. We will see again how simple and natural ideas lead to an implementation that is both easy to code and very efficient. By completing this module, you will be able to implement both these data structures efficiently from scratch.
15 видео, 6 материала для самостоятельного изучения, 1 тренировочный тест
- Видео: Naive Implementations of Priority Queues
- Lecture: Slides
- Видео: Binary Trees
- Lecture: Tree Height Remark
- Видео: Basic Operations
- Видео: Complete Binary Trees
- Видео: Pseudocode
- Lecture: Slides and External References
- Видео: Heap Sort
- Видео: Building a Heap
- Видео: Final Remarks
- Lecture: Slides and External References
- Видео: Overview
- Видео: Naive Implementations
- Lecture: Slides and External References
- Видео: Trees for Disjoint Sets
- Видео: Union by Rank
- Видео: Path Compression
- Видео: Analysis (Optional)
- Lecture: Slides and External References
- Quiz pour s'exercer: Priority Queues and Disjoint Sets
Оцениваемый: Priority Queues: Quiz
Оцениваемый: Quiz: Disjoint Sets
Оцениваемый: Programming Assignment 2: Priority Queues and Disjoint Sets
НЕДЕЛЯ 4
Hash Tables
In this module you will learn about very powerful and widely used technique called hashing. Its applications include implementation of programming languages, file systems, pattern search, distributed key-value storage and many more. You will learn how to implement data structures to store and modify sets of objects and mappings from one type of objects to another one. You will see that naive implementations either consume huge amount of memory or are slow, and then you will learn to implement hash tables that use linear memory and work in O(1) on average! In the end, you will learn how hash functions are used in modern disrtibuted systems and how they are used to optimize storage of services like Dropbox, Google Drive and Yandex Disk!
22 видео, 4 материала для самостоятельного изучения, 1 тренировочный тест
- Видео: Analysing Service Access Logs
- Видео: Direct Addressing
- Видео: List-based Mapping
- Видео: Hash Functions
- Видео: Chaining Scheme
- Видео: Chaining Implementation and Analysis
- Видео: Hash Tables
- Lecture: Slides and External References
- Видео: Phone Book Problem
- Видео: Phone Book Problem - Continued
- Видео: Universal Family
- Видео: Hashing Integers
- Видео: Proof: Upper Bound for Chain Length (Optional)
- Видео: Proof: Universal Family for Integers (Optional)
- Видео: Hashing Strings
- Видео: Hashing Strings - Cardinality Fix
- Lecture: Slides and External References
- Видео: Search Pattern in Text
- Видео: Rabin-Karp's Algorithm
- Видео: Optimization: Precomputation
- Видео: Optimization: Implementation and Analysis
- Lecture: Slides and External References
- Видео: Instant Uploads and Storage Optimization in Dropbox
- Видео: Distributed Hash Tables
- Lecture: Slides and External References
- Quiz pour s'exercer: Hashing
Оцениваемый: Hash Tables and Hash Functions
Оцениваемый: Programming Assignment 3: Hash Tables
НЕДЕЛЯ 5
Binary Search Trees
In this module we study binary search trees, which are a data structure for doing searches on dynamically changing ordered sets. You will learn about many of the difficulties in accomplishing this task and the ways in which we can overcome them. In order to do this you will need to learn the basic structure of binary search trees, how to insert and delete without destroying this structure, and how to ensure that the tree remains balanced.
7 видео, 2 материала для самостоятельного изучения, 1 тренировочный тест
- Видео: Search Trees
- Видео: Basic Operations
- Видео: Balance
- Lecture: Slides and External References
- Видео: AVL Trees
- Видео: AVL Tree Implementation
- Видео: Split and Merge
- Lecture: Slides and External References
- Quiz pour s'exercer: Binary Search Trees
НЕДЕЛЯ 6
Binary Search Trees 2
In this module we continue studying binary search trees. We study a few non-trivial applications. We then study the new kind of balanced search trees - Splay Trees. They adapt to the queries dynamically and are optimal in many ways.
4 видео, 2 материала для самостоятельного изучения, 1 тренировочный тест
- Lecture: Slides and External References
- Видео: Splay Trees: Introduction
- Видео: Splay Trees: Implementation
- Видео: (Optional) Splay Trees: Analysis
- Lecture: Slides and External References
- Quiz pour s'exercer: Splay Trees
Оцениваемый: Programming Assignment 4: Binary Search Trees
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Авторы
Калифорнийский университет в Сан-Диего
UC San Diego is an academic powerhouse and economic engine, recognized as one of the top 10 public universities by U.S. News and World Report. Innovation is central to who we are and what we do. Here, students learn that knowledge isn't just acquired in the classroom—life is their laboratory.
Национальный исследовательский университет "Высшая школа экономики"
National Research University - Higher School of Economics (HSE) is one of the top research universities in Russia. Established in 1992 to promote new research and teaching in economics and related disciplines, it now offers programs at all levels of university education across an extraordinary range of fields of study including business, sociology, cultural studies, philosophy, political science, international relations, law, Asian studies, media and communications, IT, mathematics, engineering, and more.
Learn more on www.hse.ru
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