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Thomas Woolf

Sequential Decisions builds from math and algorithms that can be understood and used by Coursera Students. This course will start from a consideration of the simplest type of data streams and then gradually advance to more complex types of data and more nuanced decisions being made on that data. You will be able to: (a) program optimal decisions for data arriving from known distribution functions, (b) define error bars and nuanced hedges about ongoing data streams to reflect missing data and/or missing knowledge, (c)understand and use the connections from these models to further understand Markov Chains and Markov Processes and how these ideas connect to Reinforcement Learning and (d) Understand better the nuances between time-independent, time-dependent, one-dimensional and multi-dimensional data.

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Sequential Decisions builds from math and algorithms that can be understood and used by Coursera Students. This course will start from a consideration of the simplest type of data streams and then gradually advance to more complex types of data and more nuanced decisions being made on that data. You will be able to: (a) program optimal decisions for data arriving from known distribution functions, (b) define error bars and nuanced hedges about ongoing data streams to reflect missing data and/or missing knowledge, (c)understand and use the connections from these models to further understand Markov Chains and Markov Processes and how these ideas connect to Reinforcement Learning and (d) Understand better the nuances between time-independent, time-dependent, one-dimensional and multi-dimensional data.

The course is aimed at those working with data, this includes both those charged with analyzing the data and those in charge of making decisions based on that data.

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What's inside

Syllabus

Wald and Sequential Decisions
This module introduces the class and the approach to teaching it to be used for the next five weeks. We begin with simple sequential data, similar to Wald’s model: data arrives from a distribution and is not time dependent. This can be generative data. We then explore increasingly complex data from distributions collected for health or business reasons. We finish the week with connections to code work and to AI.
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Traffic lights

Read about what's good
what should give you pause
and possible dealbreakers
Builds deep understanding of math and algorithms
Taught by experienced and well-respected instructors
Designed for professionals working with data
Provides a comprehensive study of sequential decisions
Covers a range of topics, from basic concepts to advanced techniques
Prerequisites may be required for some students

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Reviews summary

Advanced theory for data science decisions

According to students, this course offers a rigorous and insightful exploration into the theoretical foundations of sequential decision-making in data science. Learners praise its mathematical depth and the instructor's ability to connect complex concepts like Markov Chains and Reinforcement Learning to practical applications. However, a consistent theme is the demanding prerequisite knowledge, particularly in advanced mathematics. While many find the lectures to be clear and detailed, some express a desire for more hands-on coding examples and immediate practical application, noting it can feel overly academic. The course is best suited for those seeking a strong theoretical understanding rather than a quick practical guide.
Instructor is highly knowledgeable and passionate about the subject.
"The instructor is knowledgeable and passionate about the subject matter."
"The professor is exceptional, clearly an expert in the field."
"I appreciate how the professor brilliantly connects theoretical concepts to real-world data science problems."
Provides a rigorous understanding of sequential decision theory.
"This course was an eye-opener. The way Prof. XXX connects theoretical concepts like Markov Chains to practical data science decisions is brilliant."
"I found the modules on Markov Decision Processes particularly insightful, linking directly to reinforcement learning."
"I gained a strong theoretical understanding of data science decisions, covering complex topics like change points and MDPs very well."
Lectures can be dense, fast-paced, requiring multiple re-watches.
"The lectures can be a bit fast-paced, sometimes requiring multiple re-watches to grasp the material."
"I found some parts felt a bit rushed, especially towards the end of the course."
"I had to review the material multiple times, especially if I wasn't fully comfortable with advanced math concepts."
Divisive opinions on the practical application vs. theoretical focus.
"It felt too theoretical and not practical enough; I was looking for something that would help me use data effectively in my job."
"I struggled with the delivery; it felt very academic and less practical for immediate application than I hoped."
"This course has excellent theoretical content, but I wish it had more practical, hands-on coding exercises."
"I found the theoretical concepts incredibly insightful, appreciating the mathematical rigor over immediate application."
Requires a strong background in mathematics and prior knowledge.
"This course is definitely for those with a solid math background and interest in advanced topics."
"The prerequisites are real—I realized I needed to know calculus and linear algebra thoroughly."
"I felt lost quickly because I underestimated the mathematical prerequisites; it's definitely not for beginners."
"The instructor assumed a lot of prior knowledge, which made it challenging."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Data Science Decisions in Time: Using Data Effectively with these activities:
Review Probability and Linear Algebra
Refreshing your knowledge of probability and linear algebra will provide a solid foundation for understanding the concepts in this course.
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  • Review your notes or textbooks on probability and linear algebra.
  • Solve practice problems to test your understanding.
  • Seek help from a tutor or mentor if needed.
Curate Resources on Markov Processes
Compiling resources related to Markov Processes will provide you with a valuable collection for future reference and deeper exploration.
Browse courses on Markov Processes
Show steps
  • Search for online resources on Markov Processes, including articles, tutorials, and videos.
  • Organize the resources into a structured format, such as a document or spreadsheet.
  • Annotate each resource with a brief description and your evaluation of its quality.
Review Pre-Calculus
Review the trigonometric identities and properties of functions.
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  • Revisit unit circle and special triangle ratios.
  • Refresh properties of sine, cosine, and tangent functions.
  • Examine the graphs of trigonometric functions and their transformations.
  • Practice solving trigonometric equations.
11 other activities
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Industry Expert Mentorship
Connect with experienced professionals to gain insights into real-world applications and best practices in sequential decision-making.
Browse courses on Machine Learning
Show steps
  • Identify potential mentors in relevant fields
  • Reach out and schedule informational interviews
  • Seek guidance on career development and technical challenges
Discuss Sequential Decision Making
Engaging in discussions with peers will help you clarify your understanding of sequential decision making and gain new perspectives.
Show steps
  • Find a study partner or join a study group.
  • Choose a topic related to sequential decision making.
  • Discuss your ideas and insights with your partner or group.
  • Work together to solve problems and answer questions.
Collaborative Study Groups
Enhance understanding and critical thinking by discussing concepts, solving problems, and sharing perspectives with peers.
Browse courses on Markov Processes
Show steps
  • Form a study group with 2-4 other students
  • Set regular meeting times and goals
  • Take turns presenting concepts, leading discussions, and solving problems
Explore Markov Chain Tutorials
Following this series of tutorials will help provide a conceptual understanding of how Markov Chains work and how they can be applied to real-world scenarios.
Browse courses on Markov Chains
Show steps
  • Identify introductory Markov Chain tutorials with high ratings.
  • Follow the instructions and work through the examples.
  • Apply the concepts you learned to solve practice problems.
  • Document the key concepts and techniques you learned.
Code Challenges
Reinforce theoretical concepts and improve algorithmic thinking by solving challenging programming problems.
Show steps
  • Identify key concepts and algorithms
  • Break down the problem into smaller steps
  • Implement solutions and test correctness
Build a Markov Chain Model
Building a Markov Chain model will provide you with hands-on experience and a deeper understanding of how they work.
Browse courses on Markov Chains
Show steps
  • Identify a real-world scenario that can be modeled using a Markov Chain.
  • Create a state transition matrix for your model.
  • Implement the model in a programming language.
  • Analyze the output of your model and draw conclusions.
Interactive Simulations
Develop a deeper understanding of complex concepts by creating interactive simulations that illustrate their behavior.
Browse courses on Markov Chains
Show steps
  • Choose a specific concept or model to simulate
  • Design the simulation interface and logic
  • Implement the simulation using appropriate software tools
Data Analysis Project
Apply sequential decision-making principles to real-world data and present findings in a well-structured report.
Browse courses on Data Analytics
Show steps
  • Identify a suitable dataset and problem statement
  • Develop a decision-making model and algorithm
  • Analyze data and evaluate results
Solve Markov Decision Process Problems
Solving Markov Decision Process problems will strengthen your understanding of the concepts and improve your problem-solving skills.
Browse courses on Markov Decision Processes
Show steps
  • Find a collection of Markov Decision Process practice problems.
  • Solve the problems using the concepts you learned in the course.
  • Analyze your solutions and identify areas for improvement.
  • Document the key concepts and techniques you used.
Study 'Reinforcement Learning: An Introduction'
This book provides a comprehensive overview of reinforcement learning, which builds on the concepts of Markov Decision Processes.
Show steps
  • Read the book thoroughly, taking notes on key concepts.
  • Solve the exercises and practice problems provided in the book.
  • Discuss the book's concepts with peers or a mentor.
Contribute to an Open-Source Markov Chain Library
Contributing to an open-source Markov Chain library will provide you with practical experience and strengthen your understanding of the underlying algorithms.
Browse courses on Markov Chains
Show steps
  • Identify a reputable open-source Markov Chain library.
  • Review the library's documentation and codebase.
  • Identify an area where you can contribute, such as adding a new feature or improving the documentation.
  • Submit a pull request with your changes.

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