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NOC:An Introduction to Probability in Computing
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NOC:An Introduction to Probability in Computing
by Prof John Augustine

Combinatorics, Probability and Computing is a peer-reviewed scientific journal in mathematics published by Cambridge University Press. Its editor-in-chief is Béla Bollobás (DPMMS and University of Memphis). The journal covers combinatorics, probability theory, and theoretical computer science. Currently, it publishes six issues annually. As with ...

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level English
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Program Fee
FREE
About This Course

Combinatorics, Probability and Computing is a peer-reviewed scientific journal in mathematics published by Cambridge University Press. Its editor-in-chief is Béla Bollobás (DPMMS and University of Memphis). The journal covers combinatorics, probability theory, and theoretical computer science. Currently, it publishes six issues annually. As with ...

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Course Curriculum
5 Sections | 26 Lecture | 10h 56min total length
Expand all sections
NOC:An Introduction to Probability in Computing

Week 1

| 02h 11min total length
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    Introduction to Probability - A box of chocolates

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    Introduction to Probability - Axiomatic Approach to Probability Theory

    18m <?php echo $alt; ?>
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    Introduction to Probability - Verifying Matrix Multipilication?

    20m <?php echo $alt; ?>
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    Introduction to Probability - Verifying Matrix Multipilication

    26m <?php echo $alt; ?>
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    Introduction to Probability - How Strong is your Network

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    Introduction to Probability - How to Understand the World Play with it!

    19m <?php echo $alt; ?>
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    Tutorial 1

    4m <?php echo $alt; ?>
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    Tutorial 2

    4m <?php echo $alt; ?>
NOC:An Introduction to Probability in Computing

Week 2

| 01h 55min total length
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    Discrete Random Variables - Basic Definitions

    19m <?php echo $alt; ?>
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    Discrete Random Variables - Linearity of Expectation & Jensens Inequality

    20m <?php echo $alt; ?>
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    Discrete Random Variables - Conditional Expectation I

    14m <?php echo $alt; ?>
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    Discrete Random Variables - Conditional Expectation II

    23m <?php echo $alt; ?>
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    Discrete Random Variables - Geometric Random Variables & Collecting Coupons

    20m <?php echo $alt; ?>
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    Discrete Random Variables - Randomized Selection

    17m <?php echo $alt; ?>
NOC:An Introduction to Probability in Computing

Week 3

| 03h 05min total length
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    Tail Bounds I - Markov's Inequality

    42m <?php echo $alt; ?>
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    Tail Bounds I - Median via Sampling

    22m <?php echo $alt; ?>
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    Tail Bounds I - The Second Moment,Variance & Chebyshev's Inequality

    42m <?php echo $alt; ?>
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    Tail Bounds I - Median via Sampling - Analysis

    39m <?php echo $alt; ?>
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    Tail Bounds I - Moment Generating Functions and Chernoff Bounds

    39m <?php echo $alt; ?>
NOC:An Introduction to Probability in Computing

Week 4

| 02h 05min total length
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    Tail Bounds I - Parameter Estimation

    18m <?php echo $alt; ?>
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    Tail Bounds I - Control Group Selection

    20m <?php echo $alt; ?>
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    ?Applications of Tail Bounds - Routing in Sparse Networks

    23m <?php echo $alt; ?>
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    Applications of Tail Bounds - Analysis of Valiant's Rounting

    30m <?php echo $alt; ?>
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    Applications of Tail Bounds - Random Graphs

    32m <?php echo $alt; ?>
NOC:An Introduction to Probability in Computing

Live Session

| 01h 38min total length
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    Live Session 2

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    Live Session

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Review & Ratings

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