You've learned the basic algorithms now and are ready to step into the area of more complex problems and algorithms to solve them. Advanced algorithms build upon basic ones and use new ideas. We will start with networks flows which are used in more typical applications such as optimal matchings, finding disjoint paths and flight scheduling as well as more surprising ones like image segmentation in computer vision. We then proceed to linear programming with applications in optimizing budget allocation, portfolio optimization, finding the cheapest diet satisfying all requirements and many others. Next we discuss inherently hard problems for which no exact good solutions are known (and not likely to be found) and how to solve them in practice. We finish with a soft introduction to streaming algorithms that are heavily used in Big Data processing. Such algorithms are usually designed to be able to process huge datasets without being able even to store a dataset.

提供方

## 課程信息

### 學生職業成果

## 29%

## 50%

## 25%

### 您將獲得的技能

### 學生職業成果

## 29%

## 50%

## 25%

#### 可分享的證書

#### 100% 在線

#### 第 5 門課程（共 6 門）

#### 可靈活調整截止日期

#### 高級

#### 完成時間大約為22 小時

#### 英語（English）

## 教學大綱 - 您將從這門課程中學到什麼

**完成時間為 5 小時**

## Flows in Networks

Network flows show up in many real world situations in which a good needs to be transported across a network with limited capacity. You can see it when shipping goods across highways and routing packets across the internet. In this unit, we will discuss the mathematical underpinnings of network flows and some important flow algorithms. We will also give some surprising examples on seemingly unrelated problems that can be solved with our knowledge of network flows.

**完成時間為 5 小時**

**9 個視頻**

**3 個閱讀材料**

**1 個練習**

**完成時間為 5 小時**

## Linear Programming

Linear programming is a very powerful algorithmic tool. Essentially, a linear programming problem asks you to optimize a linear function of real variables constrained by some system of linear inequalities. This is an extremely versatile framework that immediately generalizes flow problems, but can also be used to discuss a wide variety of other problems from optimizing production procedures to finding the cheapest way to attain a healthy diet. Surprisingly, this very general framework admits efficient algorithms. In this unit, we will discuss some of the importance of linear programming problems along with some of the tools used to solve them.

**完成時間為 5 小時**

**10 個視頻**

**1 個閱讀材料**

**1 個練習**

**完成時間為 5 小時**

## NP-complete Problems

Although many of the algorithms you've learned so far are applied in practice a lot, it turns out that the world is dominated by real-world problems without a known provably efficient algorithm. Many of these problems can be reduced to one of the classical problems called NP-complete problems which either cannot be solved by a polynomial algorithm or solving any one of them would win you a million dollars (see Millenium Prize Problems) and eternal worldwide fame for solving the main problem of computer science called P vs NP. It's good to know this before trying to solve a problem before the tomorrow's deadline :) Although these problems are very unlikely to be solvable efficiently in the nearest future, people always come up with various workarounds. In this module you will study the classical NP-complete problems and the reductions between them. You will also practice solving large instances of some of these problems despite their hardness using very efficient specialized software based on tons of research in the area of NP-complete problems.

**完成時間為 5 小時**

**16 個視頻**

**2 個閱讀材料**

**1 個練習**

**完成時間為 5 小時**

## Coping with NP-completeness

After the previous module you might be sad: you've just went through 5 courses in Algorithms only to learn that they are not suitable for most real-world problems. However, don't give up yet! People are creative, and they need to solve these problems anyway, so in practice there are often ways to cope with an NP-complete problem at hand. We first show that some special cases on NP-complete problems can, in fact, be solved in polynomial time. We then consider exact algorithms that find a solution much faster than the brute force algorithm. We conclude with approximation algorithms that work in polynomial time and find a solution that is close to being optimal.

**完成時間為 5 小時**

**11 個視頻**

**1 個閱讀材料**

**1 個練習**

### 審閱

#### 4.6

##### 來自ADVANCED ALGORITHMS AND COMPLEXITY的熱門評論

Learned a lot. great material. Tough homework\n\nI appreciated that the grader demanded good implementations but I think it would have been good to have a little guidance as to how to get there.

The problems are really challenging, thank you! However, the instructor is not very active in the discussion forum, which is a pity when you really need help and get stucked in the problem set.

Very Educational and Enlightening. The only criticism I have is that the starter files generally need more modification than indicated to create a successful program.

As usual, complex arguments explained in simple terms!\n\nSome problems are really tough! (e.g. there's a problem from Google Code Jam).\n\nThank you for this course!

Very Very Challenging Course , it test your patience and rewards is extremely satisfying. Lot of learning on a complicated subject of NP-Hard problems.

The only thing I missed in this course (and specialization) was more visual, intuitive approach to explanation. Programming assignments are rewarding.

Another great course in this specialization with challenging and interesting assignments. However, this one is somewhat harder but rewarding.

Excellent course. One star less just because there are not very clean test cases for one particular problem among programming assignments

Thank you so much. You are doing such a great work but i appreciate if you explain week-2 (linear programming) in detail. Thank you.

This is a very challenging course in the specialization. I learned a lot form going through the programming assignments!

Very informative course with challenging assignments. It will surely make your data structure concepts clearer.

Really rigorous and fundamental with what scientist and other professionals need to know about programming.

Loved what I learnt, I also implemented a project using Google MAP API for the organization I'm working at

Very good collection of advanced topics, even useful for the 6th course in the specialization!

I am not good in this course. But I'm always try the best! Awesome course, thank you so much!

This course is wonderful.I am really feel like I have all knowledge of adsa

Thank you very much. I learned a lot in this course. I recommend it!

Liked this course, at least there are courses for advanced level.

Was fun learning advanced stuff and implementing algorithms.

Very well made course with challenging algorithm problems.

### 提供方

#### 加州大学圣地亚哥分校

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.

#### 国立高等经济大学

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 communicamathematics, engineering, and more.

## 關於 数据结构与算法 專項課程

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