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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 ...

5.0  (1251 Ratings) 1479 Learner
validy img Validity Unlimited
level All Level
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

    55m <?php echo $alt; ?>
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    Live Session

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Review & Ratings

5.0
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