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Vincent Granville's Blog – March 2019 Archive (3)

Fascinating Developments in the Theory of Randomness

I present here some innovative results from my most recent research on stochastic processes. chaos modeling, and dynamical systems, with applications to Fintech, cryptography, number theory, and random number generators. While covering advanced topics, this article is accessible to professionals with limited knowledge in statistical or mathematical theory. It introduces new material not covered in my recent book (available …

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Added by Vincent Granville on March 21, 2019 at 7:30am — No Comments

How to Automatically Determine the Number of Clusters in your Data - and more

Determining the number of clusters when performing unsupervised clustering is a tricky problem. Many data sets don't exhibit well separated clusters, and two human beings asked to visually tell the number of clusters by looking at a chart, are likely to provide two different answers. Sometimes clusters overlap with each other, and large clusters contain sub-clusters, making a decision not easy.

For instance, how many clusters do you see in the picture below? What is the optimum number…

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Added by Vincent Granville on March 13, 2019 at 6:00pm — No Comments

Deep Analytical Thinking and Data Science Wizardry

Many times, complex models are not enough (or too heavy), or not necessary, to get great, robust, sustainable insights out of data. Deep analytical thinking may prove more useful, and can be done by people not necessarily trained in data science, even by people with limited coding experience. Here we explore what we mean by deep analytical thinking, using a case study, and how it works: combining craftsmanship, business acumen, the use and creation of tricks and rules of thumb, to provide…

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Added by Vincent Granville on March 7, 2019 at 1:46pm — No Comments

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