How do we make critical decisions from data, especially when mistakes can be costly? In this lesson, we delve into the fundamental problem of signal detection, exploring its origins in radar and its vital applications in medical software, such as cancer screening. We'll uncover the delicate balance between false positives and false negatives, understand the concepts of sensitivity and specificity, and learn how Receiver Operating Characteristic (ROC) curves and Area Under the Curve (AUC) are used to evaluate and optimize the performance of detection algorithms.

🎯 Learning Objectives
• Understand the fundamental problem of signal detection and its relevance in medical applications.
• Identify and differentiate between true positives, false negatives, false positives, and true negatives.
• Define and explain the concepts of sensitivity and specificity in the context of detection algorithms.
• Analyze the trade-off between sensitivity and specificity when setting detection thresholds.
• Interpret Receiver Operating Characteristic (ROC) curves and Area Under the Curve (AUC) to evaluate algorithm performance.

Learn more about your ad choices. Visit megaphone.fm/adchoices

In this lesson, we delve into the critical process of deploying medical software, moving it from development to the end-user environment. We explore why planning for deployment must begin at the project's inception, addressing challenges like mobile app store gatekeepers. Key steps include ensuring software verification, finalizing documentation, identifying potential anomalies, and establishing repeatable delivery and installation procedures. The discussion also covers essential user training, setup configuration, and the vital role of risk management, including informing users about residual risks and hazards, as demonstrated by the Therac-25 case. Finally, we highlight the continuous nature of post-market clinical follow-up for ongoing safety and performance.

🎯 Learning Objectives
• Explain the crucial steps involved in deploying medical software, from development to end-user delivery.
• Understand why deployment considerations must be integrated from the very beginning of a project.
• Identify key pre-deployment tasks, including verification, documentation, and anomaly management.
• Discuss the importance of user training, configuration documentation, and repeatable deployment processes.
• Recognize the critical role of risk management and post-market surveillance in ensuring the safety of deployed medical software.

Learn more about your ad choices. Visit megaphone.fm/adchoices

Introduction to Ancient Greek History (CLCV 205)

In this lecture, Professor Kagan describes the mechanics of the Delian League and its transformation into the Athenian empire. This transformation caused Athens to rival Sparta as an equal in power and prestige. He also argues that this process took place rather smoothly due to the good relations between Sparta and Athens. Professor Kagan argues that Cimon the Athenian generally played an important part in this development. Finally, Professor Kagan begins to describe the workings of Athenian democracy by comparing it with modern American democracy.

00:00 - Chapter 1. The Rise of the Athenian Empire (Cont.)
10:25 - Chapter 2. Competition for Power between Sparta and Athens
15:51 - Chapter 3. Cimon, His Popularity and Rise to Power
30:29 - Chapter 4. The Thasian Rebellion and the Eventual Removal of Cimon
42:59 - Chapter 5. A Fuller Athenian Democracy
55:12 - Chapter 6. Organization of Athenian Democracy: The Legislative
01:04:42 - Chapter 7. Organization of Athenian Democracy: The Executive

Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses

This course was recorded in Fall 2007.

Learn more about your ad choices. Visit megaphone.fm/adchoices

Have you ever wondered how we predict the likelihood of events in complex medical scenarios? In this lesson, we delve into the critical statistical procedure of estimating probability density functions. We'll explore the necessity of using large, representative samples, the role of prior knowledge, and the fundamental differences between parametric and non-parametric estimation methods to ensure accurate predictions and reliable clinical trial results.

🎯 Learning Objectives
• Understand the process and importance of estimating probability density functions.
• Differentiate between samples and populations, emphasizing the need for representative samples.
• Discuss the role and controversies of incorporating prior knowledge in statistical estimation.
• Compare and contrast parametric and non-parametric methods for PDF estimation.
• Identify when to apply parametric versus non-parametric techniques based on data characteristics.

Learn more about your ad choices. Visit megaphone.fm/adchoices

Game Theory (ECON 159)

We consider games that have both simultaneous and sequential components, combining ideas from before and after the midterm. We represent what a player does not know within a game using an information set: a collection of nodes among which the player cannot distinguish. This lets us define games of imperfect information; and also lets us formally define subgames. We then extend our definition of a strategy to imperfect information games, and use this to construct the normal form (the payoff matrix) of such games. A key idea here is that it is information, not time per se, that matters. We show that not all Nash equilibria of such games are equally plausible: some are inconsistent with backward induction; some involve non-Nash behavior in some (unreached) subgames. To deal with this, we introduce a more refined equilibrium notion, called sub-game perfection.

00:00 - Chapter 1. Games of Imperfect Information: Information Sets
18:56 - Chapter 2. Games of Imperfect Information: Translating a Game from Matrix Form to Tree Form and Vice Versa
35:11 - Chapter 3. Games of Imperfect Information: Finding Nash Equilibria
49:59 - Chapter 4. Games of Imperfect Information: Sub-games
01:10:17 - Chapter 5. Games of Imperfect Information: Sub-game Perfect Equilibria

Complete course materials are available at the Yale Online website: online.yale.edu


This course was recorded in Fall 2007.

Learn more about your ad choices. Visit megaphone.fm/adchoices

This video is the live capture of the Yale Quantum Institute Course on Quantum Error Correction, held at the Yale University in July 2025, in partnership with NC A&T.

This short course will provide viewers strong foundation on Quantum Error Detection & Quantum Error Correction. Viewers are encouraged to take an introduction to quantum information science before viewing this content.

Thank you to the Yale ASCEND Initiative for making this short course possible.

And for more information on everything quantum at Yale, visit quantuminstitute.yale.edu

Learn more about your ad choices. Visit megaphone.fm/adchoices

Introduction to Ancient Greek History (CLCV 205)

In this lecture, Professor Kagan addresses what scholars call the Homeric question. He asks: what society do Homer's poems describe? He argues that in view of the long oral transmission of the poems, the poems of Homer probably reflect various ages from the Mycenaean world to the Dark Ages. More importantly, close scrutiny of the poems will yield historical information for the historian. In this way, one is able to reconstruct through the poems, to a certain extent, the post-Mycenaean world. Finally, Professor Kagan says a few words on the heroic ethic of the Greek world.

00:00 - Chapter 1. The Importance of Homeric Poems
13:08 - Chapter 2. The Society Described in Homer's Poems
35:49 - Chapter 3. Political Structures
52:26 - Chapter 4. Ethics and Values

Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses

This course was recorded in Fall 2007.

Learn more about your ad choices. Visit megaphone.fm/adchoices

Milton (ENGL 220)

In this second lecture on Paradise Regained, the three temptations are examined and Milton's unusual departure from their account in the Gospel of Luke is discussed. The poem's tacit assertion of the superiority of knowledge and ethics over action is probed. Considerable time is spent examining the Son's rejection of classical literature. Finally, Book Four's allusion to the riddle of the sphinx serves as a springboard to a consideration of the poem's Oedipal elements.

00:00 - Chapter 1. Introduction: The Notion of Identity in Paradise Regained and "Paradise Lost"
03:48 - Chapter 2. Who is John Milton?
10:31 - Chapter 3. The Three Temptations of the Son of God by Satan
42:33 - Chapter 4. Oedipus and the Sphinx's Riddle

Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses

This course was recorded in Fall 2007.

Learn more about your ad choices. Visit megaphone.fm/adchoices

In this lesson, discover how standardizing your processes is essential for scaling your social venture and ensuring its long-term sustainability beyond the founders. We explore the critical role of operations management, the power of process mapping, and the implementation of policies and manuals to professionalize your organization and maximize its impact.

🎯 Learning Objectives
• Understand the purpose of standardizing processes to ensure organizational endurance and growth.
• Define operations as the management of your social venture's value chain and daily activities.
• Learn how process mapping standardizes decision points and steps for delivering your offering.
• Identify other crucial tools for standardization, including policies, procedures, and manuals.
• Recognize how professionalizing processes supports team expansion and maximizes impact.

📚 About the Course
Have you ever wondered what it would be like to create real change? You don't have to start your own organization to make a difference in the world. Everyone can learn the social entrepreneurship mindset and skillset to build social impact. In this course, you will immerse yourself in a social or environmental challenge you want to tackle. You'll start by researching your topic of choice, talking to people, and ideating a potential solution that you can contribute. Then, you'll build a business model around that solution, understanding concepts like measuring social change, ensuring financial viability, funding and pitching.

This course is a safe space to experiment and explore. You'll be guided by a ten stage framework to help structure your journey. Along the way, you'll hear from social entrepreneurs around the world through case studies and campus conversations. These include Yale alumni, members of the New Haven community, and global changemakers. Everyone is welcome to join this course! You can apply your lived, learned, or professional experience to discover how you're going to make a difference.

📺 Watch the full playlist on YouTube: https://www.youtube.com/playlist?list=PLh9mgdi4rNezbi0aRJeVnt99ynTVZG1PL

🎓 Enroll on Coursera for assessments and a certificate: https://online.yale.edu/courses/creating-change-through-social-entrepreneurship

🌐 Explore more learning opportunities on Yale Online: https://online.yale.edu/courses/creating-change-through-social-entrepreneurship

#SocialEntrepreneurship #YaleCourse #Impact #Changemakers #BusinessPlan #DesignThinking

Learn more about your ad choices. Visit megaphone.fm/adchoices

Game Theory (ECON 159)

We apply the idea of evolutionary stability to consider the evolution of social conventions. Then we consider games that involve aggressive (Hawk) and passive (Dove) strategies, finding that sometimes, evolutionary populations are mixed. We discuss how such games can help us to predict how behavior might vary across settings. Finally, we consider a game in which there is no evolutionary stable population and discuss an example from nature.

00:00 - Chapter 1. Monomorphic and Polymorphic Populations Theory: Definition
30:50 - Chapter 2. Monomorphic and Polymorphic Populations Theory: Hawk vs. Dove
50:00 - Chapter 3. Monomorphic and Polymorphic Populations Theory: Discussion
55:39 - Chapter 4. Monomorphic and Polymorphic Populations Theory: Identification and Testability

Complete course materials are available at the Yale Online website: online.yale.edu


This course was recorded in Fall 2007.

Learn more about your ad choices. Visit megaphone.fm/adchoices