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Il y a 6 modules dans ce cours
This is part of our specialization on Making Decision in Time. For this second course we start with a landmark paper from Chernoff and build new insights into the ideas that his paper sparked. The ending point should bring new code and new algorithm insights into perspective, and use, by many computer and data scientists.
We extend Wald's ideas for sequential hypothesis testing to a new -- and closely related -- problem. In this second course we evaluate how best to choose from a set of hypothesis for sequentially arriving data. This has many modern applications, for example how best to set a price for a new product, what is the best therapy for a patient, how to determine the rare events in a stream of visual images and many many more. We begin by examining a type of visual search for the 'odd one out' and then build from that first week.
Inclus
3 vidéos1 lecture2 devoirs
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3 vidéos•Total 36 minutes
Given a visual grid of pictures: can you find the odd one out?•12 minutes
Rationalizing how odd-one-out is determined by Chernoff's ideas•9 minutes
The ABC of Chernoff's 1959 paper•15 minutes
1 lecture•Total 10 minutes
Searching Visually•10 minutes
2 devoirs•Total 210 minutes
How well do you understand Chernoff's method?•30 minutes
Quiz 1•180 minutes
Hierarchical Searching for Alternative Hypothesis
Module 2•4 heures à terminer
Détails du module
Searching within an ordered hierarchical setting can improve the search. But, it is not immediately obvious how to setup the data structure to support this type of search. In this part of the course we explore how to define a biased walk, based on information, to quickly find an 'odd one out'. From this concept of walking along a tree structure, we then move into thinking about how to best setup that tree structure.
Inclus
3 vidéos1 lecture2 devoirs
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3 vidéos•Total 30 minutes
Looking for rare images in large image libraries at scale•7 minutes
Creating a random walk that efficiently explores a binary tree•9 minutes
Using MCMC to find an optimal (and explainable) tree•14 minutes
1 lecture•Total 10 minutes
Hierarchy can be good for you•10 minutes
2 devoirs•Total 210 minutes
What is a binary tree?•30 minutes
Quiz 2•180 minutes
Large Hypothesis and/or Action Spaces
Module 3•4 heures à terminer
Détails du module
Many real-world applications have extremely large action and/or hypothesis spaces. For the application of Chernoff's ideas there has to be a way to apply the algorithms quickly at scale. In this set of material we examine how approximations may work and how Chernoff's ideas have been extended to different types of problems.
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3 vidéos1 lecture2 devoirs
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3 vidéos•Total 30 minutes
A clinical dream: testing for cancer with a blood 'biopsy'•9 minutes
Two stages of active hypothesis testing may be better than one•10 minutes
Greedy approximate algorithm to handle a blood 'biopsy'•10 minutes
1 lecture•Total 10 minutes
Bringing a large set into focus•10 minutes
2 devoirs•Total 210 minutes
Can you define Greedy?•30 minutes
Quiz 3•180 minutes
Sequential Hypothesis for Biology and Medicine
Module 4•4 heures à terminer
Détails du module
The ideas that we have been exploring can also be applied to data slices collected at disparate windows in time, can be applied to improving MRI scans and can be applied to molecular protein design. These applications all share the concept of using sequential hypothesis testing to improve understanding. In addition, all three of these ideas are under active code development.
Inclus
3 vidéos1 lecture2 devoirs
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3 vidéos•Total 27 minutes
Can you connect that health data point to a story?•11 minutes
How to make MRI scans be faster•8 minutes
Directed Evolution can be Hypothesis Driven•8 minutes
1 lecture•Total 10 minutes
Sharpen your insights•10 minutes
2 devoirs•Total 210 minutes
New Quiz•30 minutes
Quiz 4•180 minutes
Putting it together: testing on visual images
Module 5•4 heures à terminer
Détails du module
In our fifth week we explore how to move beyond the 'odd one out' and into multiple hypothesis testing for streams of data. This could be for setting a dosage level on a medication or on how to identify objects in a set of images.
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5 vidéos1 lecture2 devoirs
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5 vidéos•Total 50 minutes
Covid as Example•9 minutes
Adaptive Hypothesis Testing: Part One•7 minutes
Adaptive Hypothesis Testing: Part Two•9 minutes
Learn then Test: Part-one•14 minutes
Learn then Test: Part-two•11 minutes
1 lecture•Total 10 minutes
Can you see the connections to our start?•10 minutes
2 devoirs•Total 210 minutes
Can you describe a graph for hypothesis testing?•30 minutes
Quiz 5•180 minutes
Untitled Module
Module 6•3 heures à terminer
Détails du module
Inclus
1 devoir
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1 devoir•Total 180 minutes
Final Exam•180 minutes
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