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Problem: Compute distance between points with uncertain locations (given by samples, or differing observations, or clusters). For example, if I have the following three "points" in the plane, as indicated by their colors, which is closer, blue to green, or blue to red? It's not obvious, and there are multiple factors at work: the red...

Earthmover Distance

Added by Sam Hart
Updated a year ago

I have completely taken over this channel lol

Added by Sam Hart
Updated a year ago

There's a lot of complaining about gerrymandering, but what should districts look like? We went back to the drawing board and drew a set of alternative congressional maps for the entire country. Each map has a different goal: One is designed to encourage competitive elections, for example, and another to maximize the number of majority-minority districts.

The Atlas Of Redistricting

Added by Sam Hart
Updated a year ago

Imagine fighting a war on 10 battlefields. You and your opponent each have 200 soldiers, and your aim is to win as many battles as possible. How would you deploy your troops? If you spread them out evenly, sending 20 to each battlefield, your opponent could concentrate their own troops and easily win a majority of the fights.

The Math Behind Gerrymandering and...

Connected by Sam Hart
a year ago

I just posted my latest paper on the arXiv, this one co-authored with Boris Alexeev. In this paper, we study a new technique that is currently being reviewed by the Supreme Court to detect unconstitutional gerrymandering. Recall that gerrymandering refers to the process whereby electoral district boundaries are manipulated in order to reduce or increase the voting power...

An impossibility theorem for...

Added by Sam Hart
Updated a year ago

John Steinbrink, a 68-year-old corn and soybean farmer, represented Kenosha and the surrounding area in the Wisconsin legislature for 16 years. A Democrat,he won his 2010 reelection race with more than 99 percent of the vote in the blue-tinted district.

The Supreme Court could finally end...

Added by Sam Hart
Updated a year ago

Nothing here yet...

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