This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. In addition, this course 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.
Analytic Combinatorics teaches a calculus that enables precise quantitative predictions of large combinatorial structures. This course introduces the symbolic method to derive functional relations among ordinary, exponential, and multivariate generating functions, and methods in complex analysis for deriving accurate asymptotics from the GF equations.
This course introduces the concepts, applications, algorithms, programming, and design of recommender systems--software systems that recommend products or information, often based on extensive personalization. Learn how web merchants such as Amazon.com personalize product suggestions and how to apply the same techniques in your own systems!
This multidisciplinary production class serves as an introduction to, and exploration of electronic media in the arts. Lectures will cover concepts and presentations of artists working in various capacities with computers, as well as tutorials on specific software packages.
Learn how to write composable software that stays responsive at all times by being elastic under load and resilient in the presence of failures. Model systems after human organizations or inter-human communication.
Cryptography is essentially the science of writing in secret code. In data and telecommunications, cryptography has specific security requirements, such as authentication, privacy or confidentiality, integrity, and non-repudiation. To meet these security requirements, we employ secret key (or symmetric) cryptography, public-key (or asymmetric) cryptography, and hash functions. In the first part of the course, we will review a number of different ciphers that were used before World War II. These ciphers would be easily broken nowadays, since cryptography has advanced quickly over the past couple of decades with the advent of modern computers. We will cover block cipher algorithms and describe the advanced encryption standard for a symmetric-key encryption adopted by the U.S. government. We will also learn about the important MD5 and SHA-1 hash functions as well as the message authentication code. This course will focus on public key cryptography, which is best exemplified by the RSA algorithm (na…
This course teaches the concepts and computational methods in the exciting interdisciplinary field of bioinformatics and their applications in life sciences. The lectures are taught in both Mandarin Chinese and English with slides in English.
生物信息学是一门新兴的生命科学与计算科学的前沿交叉学科。本课程讲授生物信息学主要概念和方法,以及如何应用生物信息学手段解决生命科学问题。本课程同时提供中文普通话授课和英文授课两个版本,以及英文幻灯片。
学习运用计算思维分析社会学、经济学问题的方法,加深对某些生活现象的理解,体会计算与社会科学的互动。
Learn to analyze and reason about problems in social sciences with computational thinking, appreciate interactions between computing and social sciences, as well as gain deeper understanding of some common phenomena in life and society
In this course you will learn a whole lot of modern physics (classical and quantum) from basic computer programs that you will download, generalize, or write from scratch, discuss, and then hand in. Join in if you are curious (but not necessarily knowledgeable) about algorithms, and about the deep insights into science that you can obtain by the algorithmic approach.
We will present the state of the art energy minimization algorithms that are used to perform inference in modern artificial vision models: that is, efficient methods for obtaining the most likely interpretation of a given visual input. We will also cover the popular max-margin framework for estimating the model parameters using inference.
Machine learning is the study that allows computers to adaptively improve their performance with experience accumulated from the data observed. The course teaches the most fundamental algorithmic, theoretical and practical tools that any user of machine learning needs to know. [機器學習旨在讓電腦能由資料中累積的經驗來自我進步。本課程將介紹各領域中的機器學習使用者都應該知道的基礎演算法、理論及實務工具。]
Learn about the historical and philosophical foundations of contemporary science.
Explore cutting-edge debates in the philosophy of the physical sciences and philosophy of the cognitive sciences.
Lernen Sie die Technologien, aus denen das Web besteht, und designen und entwickeln Sie Ihre eigene Webpräsenz. Von der Chronik des Internets über die Grundlagen des Webs und des Screendesigns bis hin zum Tuning der Website.
Lernen Sie, eine mobile Web-App zu designen und entwickeln. Vielleicht sogar ein Echtzeit-Multiplayer-Spiel? Wir zeigen Ihnen den Weg, wie Sie Ihre Idee in den App Store bringen.
Курс «Введение в биоинформатику» адресован тем, кто хочет получить расширенное представление о том, что такое биоинформатика и как она помогает биологам и медикам в их работе.
The course is aimed at those who would like to have a better idea of what bioinformatics is and how it helps biologists and medical scientists in research and clinical work.
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