Much to my annoyance, at the end of March, Dark Sky announced it was now part of Apple and was immediately shutting down its Android app and would be shutting down its public API at the end of 2021. So, Dark Sky, my favorite weather service, is going to be dead to me. However, this is not the first ...
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My PhD thesis “At the Interface of Algebra and Statistics” is now on the arXiv! https://t.co/7IwEu8wqQC It uses basic tools in quantum physics to explore mathematical structure that's both algebraic & statistical. Curious? See my new 10m video on YouTube!! https://t.co/zOtBtGeQVK pic.twitter.com/U8X622mtse
— Tai-Danae Bradley (@math3ma) April 14, 2020
This thesis takes inspiration from quantum physics to investigate mathematical structure that lies at the interface of algebra and statistics. The starting point is a passage from classical probability theory to quantum probability theory. The quantum version of a probability distribution is a density operator, the quantum version of marginalizing is an operation called the partial trace, and the quantum version of a marginal probability distribution is a reduced density operator. Every joint probability distribution on a finite set can be modeled as a rank one density operator. By applying the partial trace, we obtain reduced density operators whose diagonals recover classical marginal probabilities. In general, these reduced densities will have rank higher than one, and their eigenvalues and eigenvectors will contain extra information that encodes subsystem interactions governed by statistics. We decode this information, and show it is akin to conditional probability, and then investigate the extent to which the eigenvectors capture "concepts" inherent in the original joint distribution. The theory is then illustrated with an experiment that exploits these ideas. Turning to a more theoretical application, we also discuss a preliminary framework for modeling entailment and concept hierarchy in natural language, namely, by representing expressions in the language as densities. Finally, initial inspiration for this thesis comes from formal concept analysis, which finds many striking parallels with the linear algebra. The parallels are not coincidental, and a common blueprint is found in category theory. We close with an exposition on free (co)completions and how the free-forgetful adjunctions in which they arise strongly suggest that in certain categorical contexts, the "fixed points" of a morphism with its adjoint encode interesting information.
I will write the manual in latex using the easy Lyx latex text processor. Is a free and open source so you can install it. The latex platform assures as the high cuality of the pdf. Till now I have the cover page and a previous index. I need people to write the articles of the index. People who want to collaborate please email me: kewapo@gmail.com
I haven’t taken a day off in over a month (including weekends), and it was only last week, and with medication, that I began to sleep more than three hours a night. I am keeping an eye on the…
H5P empowers everyone to create, share and reuse interactive content - all you need is a web browser and a web site that supports H5P.
The president of Liberty University, which he partially reopened to students during the pandemic, accuses a NYT photographer and ProPublica reporter of trespassing.
Even for people who have lost jobs or income during the coronavirus epidemic, there are books and reading material available online for free.
In the interests of supporting faculty, teaching staff, and students at every level, Jesse and I will be offering weekly open office hours. We welcome anyone to attend and to bring their questions and challenges to the table.
The president is failing, and Americans are paying for his failures.
David Shanske’s hosted version of Quill
Love its people, but never trust its government.
Let's create a beautiful RSS feed UI for human before its dead in next year again.
How much protection do different masks offer, and what are their limits?
The IndieWeb is a thing! They've got a conference coming up and everything. The New Yorker is even writing about it:
Om Malik writes about a renewed focus on his own blog:
“My first decree was to eschew any and all analytics. I don’t want to be driven by “views,” or what Google deems worthy of rank. I write what pleases me, not some algorithm. Walking away from quantification of my creativity was an act of taking back control. ❧
I love this quote.
Annotated on March 30, 2020 at 10:49AM
What I dwell on the most regarding syndication is the Twitter stuff. I look back at the analytics on this site at the end of every year and look at where the traffic came from — every year, Twitter is a teeny-weeny itty-bitty slice of the pie. Measuring traffic alone, that’s nowhere near the amount of effort we put into making the stuff we’re tweeting there. I always rationalize it to myself in other ways. I feel like Twitter is one of the major ways I stay updated with the industry and it’s a major source of ideas for articles. ❧
So it sounds like Twitter isn’t driving traffic to his website, but it is providing ideas and news.
Given this I would syndicate content to Twitter as easily and quickly as possible, use webmentions to deal with the interactions and then just use the Twitter timeline for reading and consuming and nothing else.
Annotated on March 30, 2020 at 10:51AM