First installment of a course on functional equations. This time: which functions f: R --> R satisfy f(x + y) = f(x) + f(y)?

(Massachusetts Institute of Technology) Researchers from MIT are trying to improve automated planners by giving them the benefit of human intuition. By encoding the strategies of high-performing human planners in a machine-readable form, they were able to improve the performance of planning algorithms by 10 to 15 percent on a challenging set of problems.

I was having a conversation with Andrew that went like this yesterday: Andrew: Hey, someone’s giving a talk today on HMMs (that someone was Yang Chen, who was giving a talk based on her JASA paper Analyzing single-molecule protein transportation experiments via hierarchical hidden Markov models). Show More Summary

You can fit finite mixture models in Stan; see section 12 of the Stan manual. You can fit change point models in Stan; see section 14.2 of the Stan manual. You can fit mark-recapture models in Stan; see section 14.2 of the Stan manual. Show More Summary

(University of Virginia Health System) Clinical trials are now enrolling to provide the final tests for a University of Virginia-developed artificial pancreas to automatically monitor and regulate blood-sugar levels in people with type 1 diabetes.

Theoretical statistics is the theory of applied statistics: how to think about what we do Andrew Gelman, Department of Statistics and Department of Political Science, Columbia University Working scientists and engineers commonly feel that philosophy is a waste of time. Show More Summary

Jonathan Falk points to this article, “Examining the impact of grape consumption on brain metabolism and cognitive function in patients with mild decline in cognition: A double-blinded placebo controlled pilot study,” and writes: Drink...Show More Summary

An expository summary of Hyland and Power's "The Category Theoretic Understanding of Universal Algebra: Lawvere Theories and Monads" for the Kan Extension Seminar II.

(New Jersey Institute of Technology) FaceDate, a mobile dating app that matches people based on their facial features in lieu of text profiles, was created by Ph.D. students Hillol Debnath, Nafize Paiker, Jianchen Shan and master's student Pradyumna Neog under the direction of Cristian Borcea, professor and chair of the computer science department.

As anyone who’s designed a study and gathered data can tell you, getting statistical significance is difficult. Lots of our best ideas don’t pan out, and even if a hypothesis seems to be supported by the data, the magic “p less than.05” can be elusive. Show More Summary

(University of British Columbia Okanagan campus) The American black bear can rest easier thanks to conservation research conducted at UBC's Okanagan campus. A recent study indicates that while urban sprawl results in more human-bear interactions, human education can hinder negative encounters.

Daniel Kane and I have just uploaded to the arXiv our paper “A bound on partitioning clusters“, submitted to the Electronic Journal of Combinatorics. In this short and elementary paper, we consider a question that arose from biomathematical applications: given a finite family of sets (or “clusters”), how many ways can there be of partitioning […]

Frank Harrell doesn’t like p-values: In my [Frank’s] opinion, null hypothesis testing and p-values have done significant harm to science. The purpose of this note is to catalog the many problems caused by p-values. As readers post new...Show More Summary

Introduction A popular question in mathematics is this: given a function, what is its "square root" in the sense that. There are many questions about this on mathoverflow but it's also a popular subject in mathematics forums for non-experts. Show More Summary

Ivan Oransky pointed me to a delightful science-based press release, “One’s ability to make money develops before birth”: Researchers from the Higher School of Economics have shown how the level of perinatal testosterone, the sex hormone, impacts a person’s earnings in life. Show More Summary

Under the subject line, “Example of a classy response to someone pointing out an error,” Charles Jack?son writes: In their recent book, Mazur and Stein describe the discovery of an error that one of them had made in a recent paper writing:...Show More Summary

Most of them went, I believe, rather well. As always, it was fun to teach an introductory group theory course to second year physics students. Personally, I did enjoy our Lie theory course the most, given for a mixed public of both mathematics and physics students. We did the spin-group $SU(2)$ and its connection with... Continue reading ?

There are a bunch of things about this story that just don’t make a lot of sense to me. For those who haven’t been following the blog recently, here’s the quick backstory: Brian Wansink is a Cornell University business school professor...Show More Summary

There are a bunch of things about this story that just don’t make a lot of sense to me. For those who haven’t been following the blog recently, here’s the quick backstory: Brian Wansink is a Cornell University business school professor...Show More Summary

(PLOS) A team of researchers has used a computational modeling approach to analyze and compare the toxic effects of fifteen different drugs on the liver, according to a study in PLOS Computational Biology.

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