MIT OpenCourseWare: Free Courses from the institute

MIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024
Instructor: Yufei Zhao

Uploaded 06-11-24

View the complete course: https://ocw.mit.edu/courses/18-226-probabilistic-methods-in-combinatorics-fall-2022/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61cYB5ymvFiEbIb-wWHfaqO

Application of the probabilistic method in combinatorics to Ramsey numbers. Alteration/deletion method. Lovász Local Lemma.

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MIT IDS.333 Risk and Decision Analysis, Fall 2021
Instructor: Richard de Neufville
View the complete course: https://ocw.mit.edu/courses/ids-333-risk-and-decision-analysis-fall-2021/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62jwhTqp8_1kwrkDkxZhpQC

Uploaded 28-09-22

This shows how to calculate actual expected system performance by simulating the joint effect of the various uncertainties.

This video has been dubbed using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.

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MIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024
Instructor: Yufei Zhao

Uploaded 06-11-24

View the complete course: https://ocw.mit.edu/courses/18-226-probabilistic-methods-in-combinatorics-fall-2022/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61cYB5ymvFiEbIb-wWHfaqO

Three basic and important inequalities in probabilistic analysis.

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MIT IDS.333 Risk and Decision Analysis, Fall 2021
Instructor: Richard de Neufville
View the complete course: https://ocw.mit.edu/courses/ids-333-risk-and-decision-analysis-fall-2021/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62jwhTqp8_1kwrkDkxZhpQC

Uploaded 28-09-22

The video shows how to simulate management responses to future events using 'decision rules' in the Excel model that will mimic their decisions to exercise flexibility.

This video has been dubbed using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.

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MIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024
Instructor: Yufei Zhao

Uploaded 06-11-24

View the complete course: https://ocw.mit.edu/courses/18-226-probabilistic-methods-in-combinatorics-fall-2022/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61cYB5ymvFiEbIb-wWHfaqO

Is a random graph typically going to contain a triangle? This video explains how to analyze this problem using the first and second moment methods from the probabilistic method in combinatorics.

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MIT IDS.333 Risk and Decision Analysis, Fall 2021
Instructor: Richard de Neufville
View the complete course: https://ocw.mit.edu/courses/ids-333-risk-and-decision-analysis-fall-2021/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62jwhTqp8_1kwrkDkxZhpQC

Uploaded 28-09-22

Perfect information is a hypothetical concept that provides an easy-to-calculate upper bound on value of information. The process is simple and intuitive.

This video has been dubbed using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.

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MIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024
Instructor: Yufei Zhao

Uploaded 06-11-24

View the complete course: https://ocw.mit.edu/courses/18-226-probabilistic-methods-in-combinatorics-fall-2022/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61cYB5ymvFiEbIb-wWHfaqO

Application of the probabilistic method in combinatorics to independent sets and cliques in graphs. Proof of Turán’s theorem.

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MIT IDS.333 Risk and Decision Analysis, Fall 2021
Instructor: Richard de Neufville
View the complete course: https://ocw.mit.edu/courses/ids-333-risk-and-decision-analysis-fall-2021/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62jwhTqp8_1kwrkDkxZhpQC

Uploaded 28-09-22

This video outlines the process valuing information for a particular test. It demonstrates the complexity of process and the difficulty of obtaining the needed data. It motivates the practical approach in next video.

This video has been dubbed using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.

License: Creative Commons BY-NC-SA
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MIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024
Instructor: Yufei Zhao

Uploaded 06-11-24

View the complete course: https://ocw.mit.edu/courses/18-226-probabilistic-methods-in-combinatorics-fall-2022/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61cYB5ymvFiEbIb-wWHfaqO

Application of the probabilistic method in combinatorics to graph theory. Proof of the crossing number inequality on graph drawings.

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We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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MIT IDS.333 Risk and Decision Analysis, Fall 2021
Instructor: Richard de Neufville
View the complete course: https://ocw.mit.edu/courses/ids-333-risk-and-decision-analysis-fall-2021/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62jwhTqp8_1kwrkDkxZhpQC

Uploaded 28-09-22

Robust decisions minimize standard deviation, neglecting maximization of superior system performance. Overall, Target curves and comparative tables may best present valuation results to decision-makers.

This video has been dubbed using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.

License: Creative Commons BY-NC-SA
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More courses at https://ocw.mit.edu
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We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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