We will start with a brief introduction to combinatorics, the branch of mathematics that studies how to count. And from these objects, we will get some features, and this will constitute our data. In this module we will give an introduction to this field that will help us to answer basic versions of the above questions. We have 10 options for each digit. Can you tell how many blue circles do you have in this picture without just counting them by hand? In the end of the course we will have a project related to social network graphs. This part of the course is devoted to cycles and graphs. Learn more. The main goal of this course is to introduce topics in Discrete Mathematics relevant to Data Analysis. Okay, counting is important, but still why do we study it? Suppose a country, a state, or religion introduces a new format of a license plate, and here is a Russian example. Especially enjoyed learning the theory and Python practical in chunks and then bringing them together for the final assignment. So why do we need counting here? Our goals for probability section in this course will be to give initial flavor of this field. We have 12 options for each letter, and the reason for this is the following. supports HTML5 video. Discrete Math and Analyzing Social Graphs, National Research University Higher School of Economics, Mathematics for Data Science Specialization, Construction Engineering and Management Certificate, Machine Learning for Analytics Certificate, Innovation Management & Entrepreneurship Certificate, Sustainabaility and Development Certificate, Spatial Data Analysis and Visualization Certificate, Master's of Innovation & Entrepreneurship. We will provide you with relevant notions from the graph theory, illustrate them on the graphs of social networks and will study their basic properties. You signed in with another tab or window. Here is another real life example we will discuss later in this course. And then features will be some some properties of customers, maybe residential area, car model, phone model, and so on. And here is two example. We will use counting a lot to count probabilities, and we will need counting to estimate the size of data. To view this video please enable JavaScript, and consider upgrading to a web browser that Next, we will apply our knowledge in combinatorics to study basic Probability Theory. Is there a way to tell whether our algorithm will run in a reasonable time before implementing and actually running it? It is a Euler path which starts and ends at the same vertex. And the model gives us a prediction, will the customer like our product? Thank you. The letters must look like similar to Latin letters, and Cyrillic letters like those that are depicted on the slides are not allowed. We use optional third-party analytics cookies to understand how you use GitHub.com so we can build better products. We will provide you with relevant notions from the graph theory, illustrate them on the graphs of social networks and will study their basic properties. Our intended audience are all people that work or plan to work in Data Analysis, starting from motivated high school students. So here city areas, this is islands and banks of the river are represented as vertices, we have four vertices in the graph. So if there exists a Euler path, then the graph has at most two odd vertices. Use Git or checkout with SVN using the web URL. So there is a specific kind of Euler path which is called the Euler cycle. For example, yeah, suppose we are producing some product, and we are interested in whether customers will like our product. Work fast with our official CLI. Very informative and practical. So objects will be our customers. The quiz and programming homework is belong to coursera and edx and solutions to me. So what do we have here? Graphs represent objects and relations between them in a compact geometric form. To answer this question, we are going to represent our map as a graph, and you can see it on this picture. How many edges are adjacent to A? If nothing happens, download Xcode and try again. On this license plate we have three digits, we have three letters. Thanks to all the professors, teachers, staffs and coordinators for making this course so interesting. As prerequisites we assume only basic math (e.g., we expect you to know what is a square or how to add fractions), basic programming in Python (functions, loops, recursion), common sense and curiosity. Counting is one of the most basic tasks related to mathematics. This gives us a contradiction. they're used to gather information about the pages you visit and how many clicks you need to accomplish a task. All these questions are addressed by a mathematical field called Combinatorics. It turns out that counting is used a lot in our parts of mathematics and applications. The quiz and programming homework is belong to coursera.Please Do Not use them for any other purposes. Coursera Assignments. Applications of graphs include geoinformational systems (vertices are cities, edges are roads), social network analysis (people and friendship relations), chemistry (graphs of molecular structure), computer network topology, and many more. Find Test Answers Search for test and quiz questions and answers. And we will feed our data to machine learning model, and the model will give us some prediction. So these are the start and the end. Probability is everywhere in Data Analysis and we will study it in much more details later. So it turns out that it is not always a trivial task, and there are many important ideas on how to count. So the number of bridges which are adjacent to A should be 2k. Learn more. This is proved exactly as we did in our example of the Konigsberg bridges. We will start with a brief introduction to combinatorics, the branch of mathematics that studies how to count. [MUSIC], To view this video please enable JavaScript, and consider upgrading to a web browser that. This repository is aimed to help Coursera learners who have difficulties in their learning process. Topological Sorting. Basics of this topic are critical for anyone working in Data Analysis or Computer Science. We will illustrate new knowledge, for example, by counting the number of features in data or by estimating the time required for a Python program to run. So there is no way to visit each bridge exactly once. So here, you can see a map of Konigsberg. Therefore, if there exists a Euler cycle, then the graph has no odd vertices. Finally, we will study the combinatorial structure that is the most relevant for Data Analysis, namely graphs. The course has helped me grasp some important topics. As prerequisites we assume only basic math (e.g., we expect you to know what is a square or how to add fractions), basic programming in Python (functions, loops, recursion), common sense and curiosity. So now, we formulate our results. It turns out that in many models the amount of data you need to teach your model is comparable to the number of all possible different objects in your feature settings. Hello. Our intended audience are all people that work or plan to work in Data Analysis, starting from motivated high school students. Thanks to all the professors, teachers, staffs and coordinators for making this course so interesting. Video created by National Research University Higher School of Economics for the course "Discrete Math and Analyzing Social Graphs". Well, a path through the graph is a sequence of vertices which are connected by edges. We will mainly concentrate in this course on the graphs of social networks. We will mainly concentrate in this course on the graphs of social networks. All Categories Anthropology Biology Business Chemistry Communication Computer Economics Education English Finance Foreign Language Geography Geology Health History Human Services Math Medical Philosophy Professional Psychology The Euler path is a specific path which visits each edge exactly once. We have two islands that are denoted by A and D here, and we have two banks of the river C and B, and they are connected by seven bridges which can be seen on the map. We will provide you with relevant notions from the graph theory, illustrate them on the graphs of social …
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