Permanent link -
Posted 17 hours ago (via mathlesstraveled.com)

A few days ago we made use of Bézout’s Identity, which states that if and have a greatest common divisor , then there exist integers and such that . For completeness, let’s prove it. Consider the set of all linear … Continue reading →...

Permanent link -
Posted 17 hours ago (via flowingdata.com)

NeuralTalk2 uses neural networks to caption images quickly. To demonstrate, the video below shows a webcam feed that continuously updates with new image captions based on what the computer sees.…Tags: classification, images, neural networks...

Permanent link -
Posted 17 hours ago (via flowingdata.com)

Millions of Americans will fly home this Thanksgiving weekend. (Based on my morning commute, the holiday already started a couple of days early.) Josh Katz and Quoctrung Bui for the…Tags: flights, New York Times, Thanksgiving...

Permanent link -
Posted 17 hours ago (via andrewgelman.com)

Here’s the announcement: Using Stan for variational inference, plus a couple lightning talks Dustin Tran will give a talk on using Stan for variational inference, then we’ll have a couple lightening (5 minute-ish) talks on projects. David Sparks will talk, I will talk about some of my work and we’re looking for 1-2 more volunteers. […]
The post Boston Stan meetup 1 Dec appe...

Permanent link -
Posted 17 hours ago (via andrewgelman.com)

In response to some of the discussion that inspired yesterday’s post, Gary McClelland writes: I remain convinced that discretizing a continuous variable, especially for multiple regression, is the road to perdition. Here I explain my concerns. First, I don’t buy the motivation that discretized analyses are easier to explain to lay citizens and the press. […]
The post Gary McClelland ...

Permanent link -
Posted 2 days ago (via blog.computationalcomplexity.org)

In the wake of Leonard Nimoy's death last February, I decided to rewatch the entire original Star Trek series, all 79 episodes. I had watched them each many times over in high school in the 70's, though the local station removed a scene or two from each episode to add commercial time and I often missed the opening segment because I didn't get home from school in time. Back in those stone ages we h...

Permanent link -
Posted 2 days ago (via mathlesstraveled.com)

So, where are we? We assumed that is divisible by , but is not prime. We picked a divisor of and used it to define a group , and yesterday we showed that has order in . Today we’ll use … Continue reading →...

Permanent link -
Posted 2 days ago (via mathlesstraveled.com)

Yesterday, from the assumption that is divisible by , we deduced the equations and which hold in the group . So what do these tell us about the order of ? Well, first of all, the second equation tells us … Continue reading →...

Permanent link -
Posted 2 days ago (via mathlesstraveled.com)

Now we’re going to figure out the order of in the group . Remember that we started by assuming that passed the Lucas-Lehmer test, that is, that is divisible by . Remember that we also showed for all . In … Continue reading →...