MIT OpenCourseWare

MIT OpenCourseWare

A free and open online publication of educational material from thousands of MIT courses, covering the entire MIT curriculum, ranging from introductory to the most advanced graduate courses. On the OCW website, each course includes a syllabus, instructional material like notes and reading lists, and learning activities like assignments and solutions. Some courses also have videos, online textbooks, and faculty insights on teaching. Knowledge is your reward. There's no signup or enrollment, and no start or end dates. OCW is self-paced learning at its best. Whether you’re a student, a teacher, or simply a curious person that wants to learn, MIT OpenCourseWare (OCW) offers a wealth of insight, inspiration, videos, and a whole lot more! Get the full picture on the OCW website at https://ocw.mit.edu. Accessibility: https://accessibility.mit.edu/ User comments policy: https://ocw.mit.edu/comments/ (Channel banner photo by Nietnagel on Flickr: https://flic.kr/p/8WXxfK.)

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Documentary: “The Courage to Be Open: MIT OpenCourseWare and the Democratization of Knowledge”

Documentary: “The Courage to Be Open: MIT OpenCourseWare and the Democratization of Knowledge”

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4 days ago

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From Bold Idea to Global Legacy: 25 Years of MIT OpenCourseWare Live Webcast

From Bold Idea to Global Legacy: 25 Years of MIT OpenCourseWare Live Webcast

MIT OpenCourseWare

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From Bold Idea to Global Legacy: 25 Years of MIT OpenCourseWare Live Webcast

From Bold Idea to Global Legacy: 25 Years of MIT OpenCourseWare Live Webcast

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Lecture 21: Early Modern? The Ming in the 16th Century

Lecture 21: Early Modern? The Ming in the 16th Century

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Lecture 1: Introduction to China's History

Lecture 1: Introduction to China's History

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Lecture 3: The Western Zhou

Lecture 3: The Western Zhou

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Lecture 23: The Qing through Qianlong

Lecture 23: The Qing through Qianlong

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13: Color Perception (cont'd), Motion Perception

13: Color Perception (cont'd), Motion Perception

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2 weeks ago

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17: The Generic Viewpoint Assumption; Object Recognition

17: The Generic Viewpoint Assumption; Object Recognition

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21: Attention (cont'd)

21: Attention (cont'd)

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2 weeks ago

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1: Introduction to Perception

1: Introduction to Perception

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23: Olfaction and Gustation

23: Olfaction and Gustation

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3: Sound Localization, Pitch, Timbre, and Loudness / Psychophysical Methods

3: Sound Localization, Pitch, Timbre, and Loudness / Psychophysical Methods

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2 weeks ago

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2: Frequency Selectivity and Nonlinearity in Hearing

2: Frequency Selectivity and Nonlinearity in Hearing

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5: Auditory Scene Analysis

5: Auditory Scene Analysis

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8: The Eye and the Retina (cont'd)

8: The Eye and the Retina (cont'd)

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16: Depth Perception (cont'd)

16: Depth Perception (cont'd)

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12: Lightness Perception, Color Perception

12: Lightness Perception, Color Perception

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14: Motion Perception (cont'd)

14: Motion Perception (cont'd)

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7: The Eye and Retina

7: The Eye and Retina

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4: Pitch Perception and Scene Analysis

4: Pitch Perception and Scene Analysis

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9: Lateral Geniculate Nucleus (LGN) / Primary Visual Cortex (V1)

9: Lateral Geniculate Nucleus (LGN) / Primary Visual Cortex (V1)

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Session 4, Part 1: Presenting Your Venture

Session 4, Part 1: Presenting Your Venture

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Session 3, Part 1: Legal Issues

Session 3, Part 1: Legal Issues

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Session 4, Part 2: Negotiation Skills

Session 4, Part 2: Negotiation Skills

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Session 3, Part 2: Organizational and People Issues

Session 3, Part 2: Organizational and People Issues

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Session 1, Part 1: Introduction: Most Startups Fail; How to Improve Your Odds

Session 1, Part 1: Introduction: Most Startups Fail; How to Improve Your Odds

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Session 6, Part 1: Why Do You Want to Be an Entrepreneur?

Session 6, Part 1: Why Do You Want to Be an Entrepreneur?

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Session 6, Part 2: Common Startup Mistakes

Session 6, Part 2: Common Startup Mistakes

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Session 2, Part 2: How Are You Going to Make Money?—The Business/Venture Model

Session 2, Part 2: How Are You Going to Make Money?—The Business/Venture Model

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Session 1, Part 2: Market Identification and Sales: Finding Your Customer

Session 1, Part 2: Market Identification and Sales: Finding Your Customer

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Winning SBIR Contracts

Winning SBIR Contracts

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Session 5, Part 2: Financial Projections

Session 5, Part 2: Financial Projections

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Session 11: Gas Exchange Across the Air-sea Interface

Session 11: Gas Exchange Across the Air-sea Interface

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Session 17: Sinking Particles and Remineralization (2)

Session 17: Sinking Particles and Remineralization (2)

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Session 10: Non-conservative Processes in Estuaries/ Groundwater/Hydrothermal

Session 10: Non-conservative Processes in Estuaries/ Groundwater/Hydrothermal

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Session 14: Primary Production (2)

Session 14: Primary Production (2)

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A Critical Lens on Science Images

A Critical Lens on Science Images

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The Power of Free Knowledge

The Power of Free Knowledge

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MIT 24-Hour Challenge 2026

MIT 24-Hour Challenge 2026

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Misinformation, AI, & Science Photography

Misinformation, AI, & Science Photography

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For MIT OpenCourseWare's 25th anniversary, we want to hear your voice.

For MIT OpenCourseWare's 25th anniversary, we want to hear your voice.

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Seven Questions About Tariffs That Everyone Should Know

Seven Questions About Tariffs That Everyone Should Know

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Generative AI and Science Photography

Generative AI and Science Photography

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Lec 05. Architectures: Graphs

Lec 05. Architectures: Graphs

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Lec 09. Hacker's Guide to Deep Learning

Lec 09. Hacker's Guide to Deep Learning

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Lec 16. Generative Models: Conditional Models

Lec 16. Generative Models: Conditional Models

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Lec 15. Generative Models: Representation Learning Meets Generative Modeling

Lec 15. Generative Models: Representation Learning Meets Generative Modeling

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2 months ago

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Lec 04. Architectures: Grids

Lec 04. Architectures: Grids

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2 months ago

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Lec 02. How to Train a Neural Net

Lec 02. How to Train a Neural Net

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2 months ago

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Lec 24. Inference Methods for Deep Learning

Lec 24. Inference Methods for Deep Learning

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2 months ago

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Lec 17. Generalization: Out-of-Distribution (OOD)

Lec 17. Generalization: Out-of-Distribution (OOD)

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2 months ago

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Lec 01. Introduction to Deep Learning

Lec 01. Introduction to Deep Learning

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2 months ago

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Lec 20. Scaling Laws

Lec 20. Scaling Laws

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2 months ago

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Lec 13. Representation Learning: Theory

Lec 13. Representation Learning: Theory

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Lec 10. Architectures: Memory

Lec 10. Architectures: Memory

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2 months ago

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Lec 11. Representation Learning: Reconstruction-Based

Lec 11. Representation Learning: Reconstruction-Based

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2 months ago

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Lec 14. Generative Models: Basics

Lec 14. Generative Models: Basics

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2 months ago

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Lec 03. Approximation Theory

Lec 03. Approximation Theory

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2 months ago

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Lecture 08: Local Public Goods and Fiscal Federalism

Lecture 08: Local Public Goods and Fiscal Federalism

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2 months ago

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Lecture 04: Externalities in Practice II

Lecture 04: Externalities in Practice II

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2 months ago

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Lecture 15: Health Care III, Redistribution

Lecture 15: Health Care III, Redistribution

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2 months ago

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Lecture 14: Health Care II

Lecture 14: Health Care II

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2 months ago

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Lecture 11: Social Security

Lecture 11: Social Security

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2 months ago

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Lecture 07: Political Economy

Lecture 07: Political Economy

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2 months ago

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Lecture 03: Externalities in Theory & Practice

Lecture 03: Externalities in Theory & Practice

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2 months ago

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Lecture 05: Public Goods Theory, Optimality, and Pricing

Lecture 05: Public Goods Theory, Optimality, and Pricing

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2 months ago

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Lecture 22: Wealth Taxation

Lecture 22: Wealth Taxation

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2 months ago

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Lecture 17: Redistribution and Welfare, Taxation Overview

Lecture 17: Redistribution and Welfare, Taxation Overview

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2 months ago

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Lecture 02: Externalities in Theory

Lecture 02: Externalities in Theory

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2 months ago

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Lecture 18: Overview of Taxation and Tax Base, Tax Incidence

Lecture 18: Overview of Taxation and Tax Base, Tax Incidence

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2 months ago

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Lecture 10: Social Insurance Theory

Lecture 10: Social Insurance Theory

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2 months ago

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Lecture 24: Corporate Taxation and Tax Reform

Lecture 24: Corporate Taxation and Tax Reform

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2 months ago

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Lecture 06: Cost/Benefit Analysis

Lecture 06: Cost/Benefit Analysis

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2 months ago

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S7SE Special Episode: Collaborating with Community Colleges

S7SE Special Episode: Collaborating with Community Colleges

MIT OpenCourseWare

3 months ago

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MIT Economist Jon Gruber responds to YouTube comments

MIT Economist Jon Gruber responds to YouTube comments

MIT OpenCourseWare

3 months ago

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3: Deep Learning for Computer Vision – Building Convolutional Neural Networks from Scratch

3: Deep Learning for Computer Vision – Building Convolutional Neural Networks from Scratch

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3 months ago

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10: Generative AI – Adapting LLMs with Parameter-Efficient Fine-Tuning

10: Generative AI – Adapting LLMs with Parameter-Efficient Fine-Tuning

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3 months ago

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8: Deep Learning for Natural Language – Transformers, Self-Supervised Learning

8: Deep Learning for Natural Language – Transformers, Self-Supervised Learning

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3 months ago

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9: Generative AI – Large Language Models (LLMs) and Retrieval Augmented Generation (RAG)

9: Generative AI – Large Language Models (LLMs) and Retrieval Augmented Generation (RAG)

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3 months ago

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5: Deep Learning for Natural Language – The Basics

5: Deep Learning for Natural Language – The Basics

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3 months ago

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2: Training Deep NNs (cont.); Introduction to Keras/Tensorflow; Application to Tabular Data

2: Training Deep NNs (cont.); Introduction to Keras/Tensorflow; Application to Tabular Data

MIT OpenCourseWare

3 months ago

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4: Deep Learning for Computer Vision – Transfer Learning and Fine-Tuning; Intro to HuggingFace

4: Deep Learning for Computer Vision – Transfer Learning and Fine-Tuning; Intro to HuggingFace

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3 months ago

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6: Deep Learning for Natural Language – Embeddings

6: Deep Learning for Natural Language – Embeddings

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3 months ago

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7: Deep Learning for Natural Language – Transformers

7: Deep Learning for Natural Language – Transformers

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3 months ago

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11: Generative AI – Text-to-Image Models

11: Generative AI – Text-to-Image Models

MIT OpenCourseWare

3 months ago

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1: Introduction to Neural Networks and Deep Learning; Training Deep NNs

1: Introduction to Neural Networks and Deep Learning; Training Deep NNs

MIT OpenCourseWare

3 months ago

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Lecture 16: Data Compression and Shannon’s Noiseless Coding Theorem

Lecture 16: Data Compression and Shannon’s Noiseless Coding Theorem

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4 months ago

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Lecture 7: Generating Functions for Catalan Numbers

Lecture 7: Generating Functions for Catalan Numbers

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4 months ago

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Lecture 3: Inclusion-Exclusion

Lecture 3: Inclusion-Exclusion

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4 months ago

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Lecture 17: Huffman Coding

Lecture 17: Huffman Coding

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4 months ago

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Lecture 11: Basic Group Theory

Lecture 11: Basic Group Theory

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4 months ago

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Lecture 20: Reed-Solomon Codes

Lecture 20: Reed-Solomon Codes

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4 months ago

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Lecture 9: Chernoff Bounds

Lecture 9: Chernoff Bounds

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4 months ago

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Lecture 13: Duality in Linear Programming

Lecture 13: Duality in Linear Programming

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4 months ago

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Lecture 18: Transmitting Information Reliably over a Noisy Channel & Shannon’s Noisy Coding Theorem

Lecture 18: Transmitting Information Reliably over a Noisy Channel & Shannon’s Noisy Coding Theorem

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4 months ago

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Lecture 14: Zero-Sum Games

Lecture 14: Zero-Sum Games

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4 months ago

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Lecture 15: Max-Flow Min-Cut Theorem

Lecture 15: Max-Flow Min-Cut Theorem

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4 months ago

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Lecture 2: Independence and Conditioning

Lecture 2: Independence and Conditioning

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4 months ago

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Lecture 5: More Counting and Generating Functions

Lecture 5: More Counting and Generating Functions

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4 months ago

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Lecture 6: More on Generating Functions

Lecture 6: More on Generating Functions

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4 months ago

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Lecture 8: Tail Bounds

Lecture 8: Tail Bounds

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4 months ago

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“Learning for Life: How Curiosity Shapes Well-Being” with Bia Adams

“Learning for Life: How Curiosity Shapes Well-Being” with Bia Adams

MIT OpenCourseWare

4 months ago

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“Learning for Life: How Curiosity Shapes Well-Being” with Bia Adams

“Learning for Life: How Curiosity Shapes Well-Being” with Bia Adams

MIT OpenCourseWare

4 months ago

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Lecture 20: Building the First Federally (CFTC) Regulated Exchange Dedicated to Trading on Events

Lecture 20: Building the First Federally (CFTC) Regulated Exchange Dedicated to Trading on Events

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4 months ago

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Lecture 1, Part III: Bond “Mathematics”

Lecture 1, Part III: Bond “Mathematics”

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4 months ago

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Lecture 13: Portfolio Management

Lecture 13: Portfolio Management

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4 months ago

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Lecture 14: Stochastic Processes II

Lecture 14: Stochastic Processes II

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4 months ago

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Lecture 4: Linear Algebra (cont.); Probability Theory

Lecture 4: Linear Algebra (cont.); Probability Theory

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4 months ago

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Lecture 23: Introduction to Machine Learning

Lecture 23: Introduction to Machine Learning

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4 months ago

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Lecture 1, Part I: Introduction of the Class

Lecture 1, Part I: Introduction of the Class

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4 months ago

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Lecture 1, Part II: Introduction of Financial Markets, Financial Terms and Concepts

Lecture 1, Part II: Introduction of Financial Markets, Financial Terms and Concepts

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4 months ago

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Lecture 21: Black-Scholes Formula, Risk Neutral Valuation

Lecture 21: Black-Scholes Formula, Risk Neutral Valuation

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4 months ago

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Lecture 2: Linear Algebra

Lecture 2: Linear Algebra

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4 months ago

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Lecture 8: Regression Analysis (cont.)

Lecture 8: Regression Analysis (cont.)

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4 months ago

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Lecture 24: Stochastic Calculus

Lecture 24: Stochastic Calculus

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4 months ago

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Lecture 9: Principal Component Analysis in Finance

Lecture 9: Principal Component Analysis in Finance

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4 months ago

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Lecture 7: Linear Rates, Products, and Models

Lecture 7: Linear Rates, Products, and Models

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4 months ago

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Lecture 10: Counterparty Risk Optimization

Lecture 10: Counterparty Risk Optimization

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4 months ago

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How to Sell Concert Tickets, with MIT Economist Jon Gruber

How to Sell Concert Tickets, with MIT Economist Jon Gruber

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4 months ago

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Can AI fix the economy?

Can AI fix the economy?

MIT OpenCourseWare

5 months ago

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MIT Economist Jon Gruber on AI, Trade-Offs & Healthcare

MIT Economist Jon Gruber on AI, Trade-Offs & Healthcare

MIT OpenCourseWare

5 months ago

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Lecture 11: Contagious Structure in Projection Theory

Lecture 11: Contagious Structure in Projection Theory

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5 months ago

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Lecture 02: Fundamental Methods of Projection Theory

Lecture 02: Fundamental Methods of Projection Theory

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5 months ago

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Lecture 13: The Balog-Szemeredi-Gowers Theorem

Lecture 13: The Balog-Szemeredi-Gowers Theorem

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5 months ago

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Lecture 04: The Fourier Method in Euclidean Space

Lecture 04: The Fourier Method in Euclidean Space

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5 months ago

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Lecture 09: Reflections on the Szemeredi-Trotter Theorem

Lecture 09: Reflections on the Szemeredi-Trotter Theorem

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5 months ago

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Lecture 22: Sharp Projection Theorems, Part 1: Introduction and Beck's Theorem.

Lecture 22: Sharp Projection Theorems, Part 1: Introduction and Beck's Theorem.

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5 months ago

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Lecture 01: Introduction to Projection Theory

Lecture 01: Introduction to Projection Theory

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5 months ago

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Lecture 23: Sharp Projection Theorems, Part 2: AD Regular Case

Lecture 23: Sharp Projection Theorems, Part 2: AD Regular Case

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5 months ago

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Lecture 15: The Bourgain Projection Theorem, Part 2

Lecture 15: The Bourgain Projection Theorem, Part 2

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5 months ago

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Lecture 03: Projection Theory in Euclidean Space

Lecture 03: Projection Theory in Euclidean Space

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Lecture 05: The Large Sieve

Lecture 05: The Large Sieve

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5 months ago

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Lecture 07: Applications of the Large Sieve to Number Theory

Lecture 07: Applications of the Large Sieve to Number Theory

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5 months ago

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Lecture 20: Homogeneous Dynamics, Part 1

Lecture 20: Homogeneous Dynamics, Part 1

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5 months ago

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Lecture 10: Sum-Product Theory

Lecture 10: Sum-Product Theory

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5 months ago

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Lecture 19: Random Walks on Finite Groups, Part 3

Lecture 19: Random Walks on Finite Groups, Part 3

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5 months ago

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Student Project 1: How to Make a Chinese Calligraphy Brush Stand

Student Project 1: How to Make a Chinese Calligraphy Brush Stand

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5 months ago

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Student Project 2: Ink and Thread: Incorporating Chinese Calligraphy in Fashion

Student Project 2: Ink and Thread: Incorporating Chinese Calligraphy in Fashion

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5 months ago

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Session 4-1: Networked Geothermal: The European Experience

Session 4-1: Networked Geothermal: The European Experience

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5 months ago

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Session 8-3: Thermal Energy Network Evolution of the Penn South Community in Manhattan

Session 8-3: Thermal Energy Network Evolution of the Penn South Community in Manhattan

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5 months ago

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Session 1-3: Health Impacts of Methane ("Natural") Gas Systems

Session 1-3: Health Impacts of Methane ("Natural") Gas Systems

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5 months ago

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Session 7-3: Techno-Economic Modeling of GENs with HEATNETS Model

Session 7-3: Techno-Economic Modeling of GENs with HEATNETS Model

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Session 5-3: Introduction to Design of GENs

Session 5-3: Introduction to Design of GENs

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5 months ago

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Session 8-2: Framingham, Massachusetts UTEN Pilot Project Overview

Session 8-2: Framingham, Massachusetts UTEN Pilot Project Overview

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5 months ago

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Session 6-2: Emerging Code & Standards for Ambient Temperature Loops

Session 6-2: Emerging Code & Standards for Ambient Temperature Loops

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Session 5-2: Differences Between Geothermal Heat Pumps and GEN

Session 5-2: Differences Between Geothermal Heat Pumps and GEN

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Session 3-4: Geothermal Energy Networks: Transforming Our Thermal

Session 3-4: Geothermal Energy Networks: Transforming Our Thermal

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5 months ago

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Session 4-2: Deploying Geothermal Networks At City and Country Scale: Utility Perspective on Scaling

Session 4-2: Deploying Geothermal Networks At City and Country Scale: Utility Perspective on Scaling

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5 months ago

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Session 1-2: Carbon Reduction Pathways for Building Stocks

Session 1-2: Carbon Reduction Pathways for Building Stocks

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5 months ago

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Session 8-1: ATL District Systems Overview

Session 8-1: ATL District Systems Overview

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5 months ago

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8-4: Intro to the MIT Thermal Energy Networks Plan for Rapid, Cost-Effective Campus Decarbonization

8-4: Intro to the MIT Thermal Energy Networks Plan for Rapid, Cost-Effective Campus Decarbonization

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5 months ago

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Session 2-1: An Ecological View of the Energy Transition

Session 2-1: An Ecological View of the Energy Transition

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5 months ago

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Session Introduction: Geothermal Energy Networks: Transforming Our Thermal Energy System

Session Introduction: Geothermal Energy Networks: Transforming Our Thermal Energy System

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5 months ago

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Class 15 Video: Encoding Corpora and Voice Leading

Class 15 Video: Encoding Corpora and Voice Leading

MIT OpenCourseWare

6 months ago

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Video 7b: Streams as Hierarchies: Types of Containers in music21

Video 7b: Streams as Hierarchies: Types of Containers in music21

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6 months ago

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Video 6b: Representations of Ontologies: Craig Sapp’s Rosetta Stone

Video 6b: Representations of Ontologies: Craig Sapp’s Rosetta Stone

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6 months ago

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Video 22b: Problem Sets 7-8: Working and Composing with Scales, Chords, and Roman Numerals

Video 22b: Problem Sets 7-8: Working and Composing with Scales, Chords, and Roman Numerals

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6 months ago

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Video 7a: Unlocking Duration and Note Objects in music21

Video 7a: Unlocking Duration and Note Objects in music21

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6 months ago

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Video 12d: How to Work with Ties in music21

Video 12d: How to Work with Ties in music21

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6 months ago

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Video 6a: Music Representation (III): Unlocking Pitch in music21

Video 6a: Music Representation (III): Unlocking Pitch in music21

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6 months ago

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Class 27 Video: Feature Extraction and Machine Learning

Class 27 Video: Feature Extraction and Machine Learning

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6 months ago

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Video 4b: Music Representation in General

Video 4b: Music Representation in General

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6 months ago

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Video 7d: Partwise vs. Timewise Polyphonic Representations

Video 7d: Partwise vs. Timewise Polyphonic Representations

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6 months ago

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Video 12a: Painting Emotions in Music and Text

Video 12a: Painting Emotions in Music and Text

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6 months ago

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Video 32a: Tipping the Iceberg

Video 32a: Tipping the Iceberg

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6 months ago

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Video 7c: music21 Streams, Corpus, and Meter Features

Video 7c: music21 Streams, Corpus, and Meter Features

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6 months ago

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Video 12c: Graphing and Plotting in music21

Video 12c: Graphing and Plotting in music21

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6 months ago

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Video 3a: Introduction to Pitch Representation

Video 3a: Introduction to Pitch Representation

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6 months ago

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AI + Open Education Initiative: AI Literacies and Evaluation

AI + Open Education Initiative: AI Literacies and Evaluation

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6 months ago

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AI + Open Education Initiative: Professional Education and the Judicious Use of AI

AI + Open Education Initiative: Professional Education and the Judicious Use of AI

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6 months ago

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Video 9: All There Is to Unlearn - MIT Innovation Teams

Video 9: All There Is to Unlearn - MIT Innovation Teams

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6 months ago

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Video 5: Prototype Problems Not Products - MIT Innovation Teams

Video 5: Prototype Problems Not Products - MIT Innovation Teams

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6 months ago

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Video 1: Congratulations, You Are a Terrible Robot - MIT Innovation Teams

Video 1: Congratulations, You Are a Terrible Robot - MIT Innovation Teams

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6 months ago

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Video 3: Technology Isn’t What You Think It Is - MIT Innovation Teams

Video 3: Technology Isn’t What You Think It Is - MIT Innovation Teams

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6 months ago

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Introduction: How to Move Technologies from Lab to Impact - MIT Innovation Teams

Introduction: How to Move Technologies from Lab to Impact - MIT Innovation Teams

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6 months ago

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Video 2: All Great Ideas Start Out Bad - MIT Innovation Teams

Video 2: All Great Ideas Start Out Bad - MIT Innovation Teams

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6 months ago

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Video 7: Lessons From a Real Garage - MIT Innovation Teams

Video 7: Lessons From a Real Garage - MIT Innovation Teams

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