Saturday, February 15, 2020
"Contributed Tirades"
My contribution is "Contributed Tirades". I wonder if I have ever had any Invited Tirades?
Thanks to Dan Larremore for the inspiration!
Tuesday, February 04, 2020
Dodgers Acquire Mookie Betts (and David Price)!
Wow!
Update: And right after the big trade above, the Dodgers traded Joc Pederson to the Los Angeles Angels for infielder Luis Rengifo.
Update (2/09/20): After the original version of the trade hit a snag (because of a medical test on Brusdar Graterol), the Dodgers, Red Sox, and Twins have now officially agreed on a trade (so it's now a done deal). Our trades with the Red Sox and Twins are now two separate deals, and a couple of other Dodger prospects (shortstop Jeter Downs and catcher Connor Wong) are now also going to the Red Sox.
Update (2/09/20): The Dodgers also get another prospect and a draft pick from the Twins, and (according to David Schoenfield) the trade of Joc Pederson to the Angels (which apparently was contingent on the trade for Betts) appears to be a casualty of the delay in finalizing the trade for Betts.
Monday, February 03, 2020
"Online Reactions to the 2017 ‘Unite the Right’ Rally in Charlottesville: Measuring Polarization in Twitter Networks Using Media Followership"
Title: Online Reactions to the 2017 ‘Unite the Right’ Rally in Charlottesville: Measuring Polarization in Twitter Networks Using Media Followership
Authors: Joseph H. Tien, Marisa C. Eisenberg, Sarah T. Cherng, and Mason A. Porter
Abstract: Network analysis of social media provides an important new lens on politics, communication, and their interactions. This lens is particularly prominent in fast-moving events, such as conversations and action in political rallies and the use of social media by extremist groups to spread their message. We study the Twitter conversation following the August 2017 ‘Unite the Right’ rally in Charlottesville, Virginia, USA using tools from network analysis and data science. We use media followership on Twitter and principal component analysis (PCA) to compute a ‘Left’/‘Right’ media score on a one-dimensional axis to characterize Twitter accounts. We then use these scores, in concert with retweet relationships, to examine the structure of a retweet network of approximately 300,000 accounts that communicated with the #Charlottesville hashtag. The retweet network is sharply polarized, with an assortativity coefficient of 0.8 with respect to the sign of the media PCA score. Community detection using two approaches, a Louvain method and InfoMap, yields communities that tend to be homogeneous in terms of Left/Right node composition. We also examine centrality measures and find that hyperlink-induced topic search (HITS) identifies many more hubs on the Left than on the Right. When comparing tweet content, we find that tweets about ‘Trump’ were widespread in both the Left and Right, although the accompanying language (i.e., critical on the Left, but supportive on the Right) was unsurprisingly different. Nodes with large degrees in communities on the Left include accounts that are associated with disparate areas, including activism, business, arts and entertainment, media, and politics. By contrast, support of Donald Trump was a common thread among the Right communities, connecting communities with accounts that reference white-supremacist hate symbols, communities with influential personalities in the alt-right, and the largest Right community (which includes the Twitter account FoxNews).
Note: And only now after several rounds of page proofs, right after it's too late, do I notice that the typesetters changed "Right" to "right" in the paper title, even though it is a proper noun. Well, we had plenty of chances to notice this typo that they introduced, so it's frustrating that this is another one of those that I notice immediately as soon as it's published (while not catching it in my numerous chances to see it).
Tuesday, January 28, 2020
Boycotting a Coin Over a "Missing" Oxford Comma
(Tip of the cap to Sam Howison.)
Monday, January 27, 2020
"Quantifying “Political Islands” with Persistent Homology"
I finally get to share my new @TheSIAMNews article (by @michellehfeng and me): "Quantifying “Political Islands” with Persistent Homology"https://t.co/ocpZN43EHg
— Mason Porter (@masonporter) January 28, 2020
You may also be interested in our associated research article and our recent follow-up article.
Saturday, January 25, 2020
New 2020 Baseball Hall of Famers
Anyway, the new Major League Baseball Hall of Famers that were just elected by the writers are Derek Jeter (in his first year of eligibility) and Larry Walker (in his 10th and final year on the writers' ballot). I'm really pleased that Larry Walker was voted in by the writers! He should have made it years ago, but thankfully he made huge gains in each of the last three years (and especially in each of the last two years). For Jeter, the only question was whether he'd be unanimous; one person left him off of their ballot. Jeter and Walker join Ted Simmons and Marvin Miller as 2020's inductees into the Hall of Fame.
This year's vote totals are available at this website, and you can also take a look at the Hall of Fame Voter Tracker, which I was following assiduously in the weeks leading up to the announcement of the new inductees.
Scott Rolen was polling at close to 50% before the results were announced. He gained a ton of votes, but after seeing where he was before the announcement, I was a bit surprised to see the final total at "only" about 35%. Todd Helton made major gains to almost 30%, perhaps because he's no longer on his first ballot. They're in good shape, but it will take a while.
Curt Schilling got to 70%, so he'll make it in 2021. Nobody who has a shot is debuting on the ballot next year (well, maybe Tim Hudson will make it eventually), so 2021 is Schilling's year.
Rogers Clemens and Barry Bonds crept over 60%. I'll be very surprised if the writers elect them, as people have drawn lines in the sand, but one of the current incarnations of the Veterans Committees will put them in the Hall someday.
Omar Vizquel (sigh) broke the 50% barrier, and his eventual election is inevitable.
Billy Wagner, Gary Sheffield, and Andruw Jones made big gains. (I wonder if the latter two were helped not only by there being only one obvious newcomer but also by Harold Baines now being in the Hall? Both Jones and Sheffield were much better players than Baines.) We'll see how much Wagner gains over the next years.
Jeff Kent also made major inroads, and he'll likely make it eventually via one of the Veterans Committees.
A bunch of others (such as Manny Ramirez and Sammy Sosa) also gained a decent amount, but I doubt they'll go much of anywhere on the regular ballot (and Sosa has achieved around this many votes in some past years as well, I believe).
Bobby Abreu managed to get just enough votes to stay on the ballot next year. That's good.
And the latest entries in the exactly-one-vote club are Adam Dunn, Brad Penny, Raúl Ibañez, and J. J. Putz (who once hit Kevin Mench with a pitch, marking the only time in Major League Baseball history that a Mench got hit by a Putz).
There aren't any Hall-of-Fame-caliber standouts debuting on the 2021 ballot, so perhaps it will only be Curt Schilling from the regular ballot next year.
David Schoenfield wrote about this year's winners and losers in the Hall of Fame voting.
Here is my blog entry about the result of last year's writers' votes.
Wednesday, January 22, 2020
What Happens in Kuala Lumpur Stays in Kuala Lumpur
I am very tired. :)
Saturday, January 18, 2020
Quote of the Conference: Geodesic Spaces of Normal Shrinkage
This may be the quote of the conference. The talk in question is this one.
Wednesday, January 15, 2020
Tuesday, January 14, 2020
What Happens at the Joint Mathematics Meetings Stays at the Joint Mathematics Meetings (2020 Edition)
Also, here is the schedule of talks from my group (and a friend of my group).
I'm looking forward to @JointMath #JMM2020!
— Mason Porter (@masonporter) January 10, 2020
Here are talks from group members (@michellehfeng, @HZinnbrooks, Me) and a friend of the group!
See you at the meeting!https://t.co/Lzf9ykyJqZhttps://t.co/NPufVrBgpshttps://t.co/u0JtlWqyfMhttps://t.co/3wPmwBN6M9 pic.twitter.com/swQsszZdXU
Love Will Tear Us Apart: Geographic Edition
Make elevation maps of any location in the world in the style of Joy Division's Unknown Pleasures album cover (i.e. a ridgeline map) https://t.co/FQ3KSvU0FU
— kottke.org (@kottke) January 8, 2020
(Tip of the cap to Dan Anderson.)
Monday, January 06, 2020
Wednesday, January 01, 2020
A Band Called "f(x)"
Tuesday, December 31, 2019
The End of a Decade, with a Fair Starting Day
To do that, I'll first need to figure out when it started. ;)
Now, which starting point will allow me to maximize or minimize something interesting...
Oh, never mind; let's do this with a random-number generator: I get 2017.55793, which rounding to the nearest day (I'll round up), gives me a start to my decade of the 204th day of 2017.
My decade apparently started on 23 July 2017, so talk to me in 2027 about the end of my decade.
P.S. Happy New Year! (Well, in a few hours.)
Tales from the ArXiv: How Many Updates is the Record?
I wonder if 16 versions of a paper is an arXiv record?
Saturday, December 28, 2019
Social Seismology: The Chutzpah Scale
Personally, I think that we should measure chutzpah in a manner that is analogous to how we measure earthquakes.
— Mason Porter (@masonporter) December 28, 2019
Example usage: "Social seismologists are reporting that that incident registered as a 7.6 on the Chutzpah Scale, with an epicenter near Westwood." pic.twitter.com/EVQy8XUvC5
Tuesday, December 24, 2019
Emoji Differential Equations: Dreidels as Euler Angles
And in case you want a holiday-themed system of emoji differential equations, here are ones for unsteady precession of a dreidel.
— Mason Porter (@masonporter) December 25, 2019
Enjoy the holidays!
Euler angles: https://t.co/xk2jDceXZ8 pic.twitter.com/j0wV2u2AUX
Saturday, December 21, 2019
The Three Alternative Branches of Government
Parabolic, Elliptic, and Hyperbolic.
— Mason Porter (@masonporter) December 22, 2019
Fun Fact: The "Hyperbolic Branch" of government has plenty of shocks. :)
Bonus (for devotees of complex variables): Transcendental, Logarithmic, and Principal https://t.co/wly6LdMXBn
Really?
Every answer can result in a new question. — Yiddish proverb
— Yiddish Proverbs (@YiddishProverbs) December 22, 2019
Thursday, December 19, 2019
TMNTing Wikipedia Pages: A Twitter Account
Pseudo-random number samplinghttps://t.co/bTMMPJhmlL pic.twitter.com/Sh8cScM65b
— Wiki Titles Singable to TMNT Themesong (@wiki_tmnt) December 19, 2019
(Tip of the cap to Evelyn Lamb.)
Tuesday, December 17, 2019
"A Two-Patch Epidemic Model with Nonlinear Relapse"
Title: A Two-Patch Epidemic Model with Nonlinear Relapse
Authors: Juan G. Calvo, Alberto Hernández, Mason A. Porter, and Fabio Sanchez
Abstract (English version): The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but illustrative example, we examine interactions between urban and rural populations on the dynamics of disease spreading. Using a compartmental framework of susceptible–infected–susceptible (SIŜ) dynamics with some level of immunity, we formulate a model that allows nonlinear reinfection. We investigate the effects of population movement in a simple scenario: a case with two patches, which allows us to model population movement between urban and rural areas. To study the dynamics of the system, we compute a basic reproduction number for each population (urban and rural). We also compute steady states, determine the local stability of the disease-free steady state, and identify conditions for the existence of endemic steady states. From our analysis and computational experiments, we illustrate that population movement plays an important role in disease dynamics. In some cases, it can be rather beneficial, as it can enlarge the region of stability of a disease-free steady state.
Note: The published paper also has a Spanish version of the abstract.
Monday, December 16, 2019
What Happens in Vancouver Stays in Vancouver (2019 Edition)
We'll be binge-gaming, and in particular we are going to get as far as we can through Pandemic Legacy: Season 1, which was a gift from my one of recently-finished doctoral students. (The gift actually helped provide an impetus for this trip to happen, as getting a regular set of players for a 'legacy' or other campaign is not easy for me.)
As I'll be playing a Pandemic game, I guess I won't be escaping from networks entirely. :)
Saturday, December 14, 2019
Agent-Based Models with Emoji
This may inspire some snark. Possibly.
I forgot about this thing! So much fun. Here's a little zombie simulation I threw together: https://t.co/vyn6zssehU
— Ted Aronson (@tedw4rd) December 14, 2019
(Tip of the cap to Alice Schwarze.)
Friday, December 13, 2019
Best Journal Spam E-Mail Ever?
Best predatory journal spam invite ever 🤣 pic.twitter.com/0hU7N9kauN
— Richard Sever Ⓤ (@cshperspectives) December 14, 2019
(Tip of the cap to Laura Kubatko.)
Tuesday, December 10, 2019
Tales from the ArXiv: The "Chicken McNugget Monoid"
Apparently, this comes from the standard nugget counts in boxes of Chicken McNuggets. Here is one line from the paper: Under regular integer addition, ⟨6,9,20⟩ forms a monoid, meaning the sum of any two McNugget numbers is again a McNugget number. And if this sounds like something out of The Onion, you may be interested in this recent article.
Also, in case you were wondering: Using [17, Proposition 1 and Table 1], it follows that the Frobenius number of 🐤 is 43. This is the largest number of Chicken McNuggets that cannot be ordered using whole boxes of sizes 6, 9, or 20.
"Effect of Antipsychotics on Community Structure in Functional Brain Networks"
Title: Effect of Antipsychotics on Community Structure in Functional Brain Networks
Authors: Ryan Flanagan, Lucas Lacasa, Emma K. Towlson, Sang Hoon Lee, and Mason A. Porter
Abstract: Schizophrenia, a mental disorder that is characterized by abnormal social behaviour and failure to distinguish one’s own thoughts and ideas from reality, has been associated with structural abnormalities in the architecture of functional brain networks. In this article, we (1) investigate whether mesoscale network properties give relevant information to distinguish groups of patients from controls in different scenarios and (2) use this lens to examine network effects of different antipsychotic treatments. Using various methods of network analysis, we examine the effect of two classical therapeutic antipsychotics—Aripiprazoleand Sulpiride—on the architecture of functional brain networks of both controls (i.e., a set of people who were deemed to be healthy) and patients (who were diagnosed with schizophrenia). We compare community structures of functional brain networks of different individuals using mesoscopic response functions, which measure how community structure changes across different scales of a network. Our approach does a reasonably good job of distinguishing patients from controls, and the distinction is sharper for patients and controls who have been treated with Aripiprazole. Unexpectedly, we find that this increased separation between patients and controls is associated with a change in the control group, as the functional brain networks of the patient group appear to be predominantly unaffected by this drug. This suggests that Aripiprazole has a significant and measurable effect on community structure in healthy individuals but not in individuals who are diagnosed with schizophrenia, something that conflicts with the naive assumption that the drug alters the mesoscale network properties of the patients (rather than the controls). By contrast, we are less successful at separating the networks of patients from those of controls when the subjects have been given the drug Sulpiride. Taken together, in our results, we observe differences in the effects of the drugs (and a placebo) on community structure in patients and controls and also that this effect differs across groups. From a network-science perspective, we thereby demonstrate that different types of antipsychotic drugs selectively affect mesoscale properties of brain networks, providing support that structures such as communities are meaningful functional units in the brain.
Monday, December 09, 2019
"Customer Mobility and Congestion in Supermarkets"
Title: Customer Mobility and Congestion in Supermarkets
Authors: Fabian Ying, Alisdair O. G. Wallis, Mariano Beguerisse-Díaz, Mason A. Porter, & Samuel D. Howison
Abstract: The analysis and characterization of human mobility using population-level mobility models is important for numerous applications, ranging from the estimation of commuter flows in cities to modeling trade flows between countries. However, almost all of these applications have focused on large spatial scales, which typically range between intracity scales and intercountry scales. In this paper, we investigate population-level human mobility models on a much smaller spatial scale by using them to estimate customer mobility flow between supermarket zones. We use anonymized, ordered customer-basket data to infer empirical mobility flow in supermarkets, and we apply variants of the gravity and intervening-opportunities models to fit this mobility flow and estimate the flow on unseen data. We find that a doubly-constrained gravity model and an extended radiation model (which is a type of intervening-opportunities model) can successfully estimate 65%–70% of the flow inside supermarkets. Using a gravity model as a case study, we then investigate how to reduce congestion in supermarkets using mobility models. We model each supermarket zone as a queue, and we use a gravity model to identify store layouts with low congestion, which we measure either by the maximum number of visits to a zone or by the total mean queue size. We then use a simulated-annealing algorithm to find store layouts with lower congestion than a supermarket’s original layout. In these optimized store layouts, we find that popular zones are often in the perimeter of a store. Our research gives insight both into how customers move in supermarkets and into how retailers can arrange stores to reduce congestion. It also provides a case study of human mobility on small spatial scales.
Sunday, December 08, 2019
Tales from the ArXiv: Modeling Stupid People
Here is a screenshot to whet your appetite.
Marvin Miller and Ted Simmons are in the Hall of Fame!
I look forward to seeing people like Lou Whitaker eventually get in as well!
(Given the Harold Baines debacle from last year, there was basically no chance for me to be as annoyed about the 'Veterans Commitee' selections as I was last year at this time.)
Update: The article above has now been updated with the vote totals. Simmons got 13 votes and Miller got 12, and Dwight Evans was next with 8. The rest of the vote totals are as follows: "Dave Parker received seven votes, and Steve Garvey and Lou Whitaker six each. Tommy John, Don Mattingly, Thurman Munson and Dale Murphy all got three or fewer."
Saturday, December 07, 2019
Karate Clubbuccino (Take 2)
Karate Clubbuccino, take 2.
— Mason Porter (@masonporter) December 7, 2019
(Thanks to Sofia Piltz for making this happen.) pic.twitter.com/Gi0vMbfNQs
Below is take 1.
In case you ever wanted to see the Karate Club network visualized using a capuccino embedding.
— Mason Porter (@masonporter) November 10, 2019
(Thanks to University of Michigan postdoc Sofia Piltz for trying this out for me at BeanBerry Cafe in Ann Arbor. She'll try it with a higher-contrast and more circular picture later.) pic.twitter.com/nqLpcJrfmY
Friday, December 06, 2019
The Devil's Mathematical Dictionary
Inspired by a comment in today's presentation, my new goal is to write a mathematics paper that uses the "Feeling" environment.
— Mason Porter (@masonporter) December 7, 2019
(This, in turn, inspired the present document. I decided to do this in a style akin to that of the Devil's Dictionary.) pic.twitter.com/UzpWKjQRRV
Thursday, December 05, 2019
A Black Box with Weights on the Inside
Stitchfix algos did white elephant where we had to put a clue on the outside. So I made a black box with weights inside pic.twitter.com/Uc7dC2BElM
— Dr. Donut ☕️ (@BEBischof) December 6, 2019
(Tip of the cap to Adrienne Porter Felt [no relation].)
A Very Cool Science Cake about Soil
Because someone had to do it. 🔼
— Karen Vaughan (@vaughan_soil) December 5, 2019
Thanks to all the students and faculty who helped bake cakes! I’ll share the assembly video below. #WorldSoilDay pic.twitter.com/pOtnyMHPgc
(Tips of the cap to Anne Jefferson and Meghan Duffy.)
Thursday, November 28, 2019
My TDA (Topological Data Analysis) Origin Story
During one of my daily arXiv routines, I noticed a paper by Konstantin and collaborators that used topological data analysis (TDA), so I saw that we were looking at the same systems, but in different ways. I contacted him, visited him early in 2013, and we started a joint TDA project --- but it turned out to be on spreading dynamics on networks, rather than on granular networks. Our first paper (which was led by Dane Taylor and coauthored with many other excellent people, including my Oxford colleague Heather Harrington) was published in final form in Nature Communications in 2015. I viewed this as just one paper; I never intended to start a large new direction in my research program. Back at Oxford, one student saw that I was part of that and wanted to work with Heather and me on applications of TDA. Then more students saw the 2015 paper and what this student was doing, and they wanted to work with us on TDA.
After I moved to UCLA, more students (starting with Michelle Feng) saw that I had some papers on TDA and wanted to work with me on those topics, partly because they wanted to do things with applications but also wanted to continue pursuing more theoretical mathematical subjects as well. I also really like the idea of taking "traditionally pure" areas of mathematics and bringing more and more of them into applications. It's a really exciting thing to do. And the work on applications also yields really great insights into the mathematical theory. (Because it does go in both directions, after all.)
Most recently, at least among people who have officially joined my group, Abby Hickok saw the work that Michelle and I have been doing, and she has ideas for building further on that work. And now TDA (along with work involving the intersection of dynamics, networks, and simplicial complexes) has become an important part of my research program,
Anyway, it was an all an accident.
Wednesday, November 27, 2019
Facial Recognition Software for Sheep
Okay... pic.twitter.com/Qbsm6yptuH
— Thomas Lumley (@tslumley) November 27, 2019
(Tip of the cap to Richard Parker.)
A Golden Age of Mathematics: Happening Right Now!
My opinion is that we are, right now, in a golden age of mathematics.
— Mason Porter (@masonporter) November 27, 2019
I really like the quote below, and that's what I try to convey to my students and postdocs. https://t.co/EDt196FML9 pic.twitter.com/MmkbY28HN6
Monday, November 25, 2019
Tales from the ArXiv: Mathematics Paper or Science-Fiction Novel?
Tropical PCA sounds very promising and fascinating. Additionally, I think the title of this paper would make a great title for a science-fiction novel.
Saturday, November 23, 2019
Data Analysis of Exuberant and Uncouth College Fight Songs
UCLA's fight song is apparently called "Sons of Westwood" (ugh).
How can they write such an article without mentioning Tom Lehrer?
Friday, November 22, 2019
Tetris with Gelatin
Jelly Tetris pic.twitter.com/fVMuMyrHd3
— Universal Curiosity (@UniverCurious) November 22, 2019
Wednesday, November 20, 2019
Some of my Past Materials Related to Academic Job Applications and Related Things
In case it's of interest to those of you on the academic job market (or people with mentees on the market), I have posted some of my materials: (1) a research statement; (2) a teaching statement; and (3) two equity, diversity, and inclusion statements: https://t.co/HDMKUPNTvF
— Mason Porter (@masonporter) November 20, 2019
It's Applied-Mathematician Season
https://t.co/c0u86Szfc9 pic.twitter.com/6I1rK9viu6
— Conor Finn (@Conor_Finn) November 20, 2019
Tuesday, November 19, 2019
AirBnB Rental of a Pirate Ship on the Mississippi River
Monday, November 18, 2019
LaTeX Without Hats
This is what we're supposed to do with this LaTeX package, right?
— Mason Porter (@masonporter) November 19, 2019
cc: @MenWithoutHats1 https://t.co/zBVHpjZ9qB pic.twitter.com/e3WGYXF9Cg
Note: I think that the official lyrics have "We can..." in the first line that I show, but when Men Without Hats sing it, it does sound somewhat like they include an extra de facto syllable.
Update (11/19/19): I did a copy-and-paste and clearly should have looked a bit more for a better website. I didn't even notice the "They're are" until I saw Ernie Barreto's comment on Facebook. Here is a better site.
Sunday, November 17, 2019
Friday, November 15, 2019
Thursday, November 14, 2019
2019 Most Valuable Player Awards
You can find the vote tallies of all players who received MVP votes on this page, and you can take a look at ESPN's summary of this season's awards in Major League Baseball on this page.
Wednesday, November 13, 2019
2019 Cy Young Awards
You can read ESPN's summary of this week's Major Baseball Awards on this page.
Tuesday, November 12, 2019
2019 Managers of the Year
ESPN is tabulate this week's award winners on this page.
Monday, November 11, 2019
Tales from the ArXiv: "Tautological Algebra"
2019 Rookies of the Year
Take a look at this page for a tabulation of Major League Baseball's 2019 awards. Today's announcement of the Rookies of the Year kicks off a week of pronouncements. The three finalists for each award were announced previously.
Update: The vote tallies are available at this page.
Sunday, November 10, 2019
Paper Title of the Day: "p-ing Everywhere"
The sort of paper title that one ultimately regrets, I think. pic.twitter.com/g19H4yTdn7
— Stuart Ritchie (@StuartJRitchie) November 10, 2019
(Tip of the cap to Chris Marcum.)
Saturday, November 09, 2019
Visualization of the Zachary Karate Club Network Using a Cappuccino Embedding
In case you ever wanted to see the Karate Club network visualized using a capuccino embedding.
— Mason Porter (@masonporter) November 10, 2019
(Thanks to University of Michigan postdoc Sofia Piltz for trying this out for me at BeanBerry Cafe in Ann Arbor. She'll try it with a higher-contrast and more circular picture later.) pic.twitter.com/nqLpcJrfmY
Sofia found this picture in one of Petter Holme's presentations, although it reminds me of one of them from old papers and t-shirt designs.
Wednesday, November 06, 2019
Tales from the ArXiv: An Epic 1-Panel Figure
Monday, November 04, 2019
"Supracentrality Analysis of Temporal Networks with Directed Interlayer Coupling"
Titles: Supracentrality Analysis of Temporal Networks with Directed Interlayer Coupling
Authors: Dane Taylor, Mason A. Porter, and Peter J. Mucha
Abstract: We describe centralities in temporal networks using a supracentrality framework to study centrality trajectories, which characterize how the importances of nodes change in time. We study supracentrality generalizations of eigenvector-based centralities, a family of centrality measures for time-independent networks that includes PageRank, hub and authority scores, and eigenvector centrality. We start with a sequence of adjacency matrices, each of which represents a time layer of a network at a different point or interval of time. Coupling centrality matrices across time layers with weighted interlayer edges yields a supracentrality matrix ℂ(𝜔), where ω controls the extent to which centrality trajectories change over time. We can flexibly tune the weight and topology of the interlayer coupling to cater to different scientific applications. The entries of the dominant eigenvector of ℂ(𝜔) represent joint centralities, which simultaneously quantify the importance of every node in every time layer. Inspired by probability theory, we also compute marginal and conditional centralities. We illustrate how to adjust the coupling between time layers to tune the extent to which nodes’ centrality trajectories are influenced by the oldest and newest time layers. We support our findings by analysis in the limits of small and large ω.
Sunday, November 03, 2019
7th Century: Service Obligations Interfering with Research and Teaching
Academics complaining that departmental service obligations interfere with their research and teaching. Assyria, mid 7th century BC: pic.twitter.com/SCkmgFk8by
— Christopher Jones (@cwjones89) November 2, 2019
(Tip of the cap to multiple people.)
Friday, November 01, 2019
"Challenge Accepted"
Challenge accepted. pic.twitter.com/JxM5XhB28D
— You Had One Job (@WayThingWorks) November 2, 2019
(Tip of the cap to Card Colm Mulcahy.)
Thursday, October 31, 2019
Tonight is a Night for Spectral Graph Theory
I couldn't wait until Halloween to make this picture... pic.twitter.com/r9ivfghzpj
— Mason Porter (@masonporter) September 24, 2014
Wednesday, October 30, 2019
Monday, October 21, 2019
The Two–Infinity Norm and Beyond!
Two–infinity and beyond!!! pic.twitter.com/b2KGnIol35
— Mason Porter (@masonporter) October 21, 2019
Sunday, October 20, 2019
What Happens in Washington, D.C. Stays in Washington, D.C.
In any event, today I am heading off to Washington, D.C. to principal-investigator workshop that is related to a new NSF grant of mine.
On Thursday, I'll be giving a seminar in the Department of Mathematical Sciences at George Mason University. It will be Mason@Mason — a fixed point!
Friday, October 18, 2019
A Beautiful Map of Mathematics
My latest pseudo-mathematical project.... pic.twitter.com/BzNYMw3DEt
— Sam Cohen (@SamCMaths) October 18, 2019
For details of the construction, see this page.
I am — literally! — all over the map.
Wednesday, October 16, 2019
A Skirt Made of Rejection Letters
“I just searched for ‘unfortunately’ and ‘we regret to inform you’ in my email.”
— hardmaru 😷 (@hardmaru) October 16, 2019
Michigan State PhD student made a skirt using rejection letters she received through the course of her doctoral program while defending her dissertation last week.https://t.co/KeziG3GcJc
(Tip of the cap to Petter Holme.)
Saturday, October 12, 2019
What Happens in Torino Stays in Torino
Tuesday, October 08, 2019
A Spectacular List of Errata
Friday, October 04, 2019
Tales from the ArXiv: Awesome First Sentence
In case you're wondering, it is from this song
Tuesday, October 01, 2019
Charles Babbage and "Street Nuisances"
One of my fave things about Charles Babbage is he dedicated 28 pages (!!) of his autobiography to street nuisances, in which he classified:
— Dr Elizabeth Bruton 🏳️🌈 (@lizbruton) October 1, 2019
1) Instruments of torture permitted by the govt to be in
daily & nightly use in the streets of London
2) Encouragers of Street Music
1/2 pic.twitter.com/sUN8g4MskA
Monday, September 30, 2019
Cool Art: Geometric Flat Lays from Kristen Meyer
Prop stylist and designer Kristen Meyer melds quotidian materials into distinctive outlines in her series of geometric flat lays. She gathers crackers, sticks, spaghetti, herbs, and other common raw materials and arranges them in circles and squares https://t.co/8nE9JZAZWx pic.twitter.com/UTip8Onsnf
— Massimo (@Rainmaker1973) September 30, 2019
Take a look at her Instagram page. Among her particularly nice pieces is this one.
Sunday, September 29, 2019
Dodgers Win Franchise-Record 106 Games!
Clayton Kershaw pitched a scoreless inning in relief, although his earned run average remained above 3.00 (he would have needed to pitch 3 scoreless innings to get below 3.00), after a Major-League-record 10 consecutive seasons with an ERA less than 3.00. (The number 10 depends on a certain minimum number of innings pitched, so one can quibble with exactly how one should count things.) The second-largest consecutive streak, by Greg Maddux and at least one other, encompasses seven straight seasons.
It was a very nice touch when Madison Bumgarner, in possibly his last game as a Giant, had a pinch-hitting appearance against Clayton Kershaw in the 5th inning.
Also, today was the last game in Bruce Bochy's managerial career. He had announced long ago — before the beginning of the season, I think — that 2019 would be his final season. He'll be entering the Hall of Fame as a manager.
Wednesday, September 25, 2019
Alexa: Coming Soon with Samuel L. Jackson's Voice
The possibilities are glorious.
However, it may still not be as cool as Samuel J. Jackson as the voice of God when reading from the bible.
Headline of the Day: Blasphemy Edition
The headline (in the preview, as seen on a Facebook post): Irish police drop Stephen Fry blasphemy investigation due to 'lack of outraged people'
The headline in the article itself is of the same spirit (and still great), but the wording is slightly different.
P.S. Don't ask me how much a headline weighs.
(Tip of the cap to whoever posts on behalf of the Douglas Adams page on Facebook.)
Update: Note that the article is from 2017, so it is not new news.
Tuesday, September 24, 2019
"Forecasting Failure Locations in 2-Dimensional Disordered Lattices"
Title: Forecasting Failure Locations in 2-Dimensional Disordered Lattices
Authors: Estelle Berthier, Mason A. Porter, and Karen E. Daniels
Abstract: Forecasting fracture locations in a progressively failing disordered structure is of paramount importance when considering structural materials. We explore this issue for gradual deterioration via beam breakage of 2-dimensional (2D) disordered lattices, which we represent as networks, for various values of mean degree. We study experimental samples with geometric structures that we construct based on observed contact networks in 2D granular media. We calculate geodesic edge betweenness centrality, which helps quantify which edges are on many shortest paths in a network, to forecast the failure locations. We demonstrate for the tested samples that, for a variety of failure behaviors, failures occur predominantly at locations that have larger geodesic edge betweenness values than the mean one in the structure. Because only a small fraction of edges have values above the mean, this is a relevant diagnostic to assess failure locations. Our results demonstrate that one can consider only specific parts of a system as likely failure locations and that, with reasonable success, one can assess possible failure locations of a structure without needing to study its detailed energetic states.
Significance Statement: Disordered lattices are used widely for mechanical applications because they are lightweight and robust. Due to their heterogeneous structure, it is a complicated task to understand and forecast their progressive degradation. To safely use these materials and design structures with optimized mechanical properties, it is crucial to understand where failures occur. We show that a simple test that consists of comparing the importance of a beam with respect to the other beams in a lattice permits a successful forecast of the locations of failures. It allows one to consider only a small fraction of the beams as likely failure locations. Our approach also provides a roadmap for studies of failures in other spatial networks.
Monday, September 23, 2019
Saturday, September 21, 2019
What Happens When You Finish a PhD in Complex Systems
When you finish a PhD in complex systems, they take you to a special room and tell you that people are not actually particles.
— Mason Porter (@masonporter) September 22, 2019
After you recover, you’re sworn to secrecy, and you can try to publish papers in Nature again. Either that, or you can now join a sociology department. https://t.co/jXAzDuoJ7o
(By the way, I have been enjoying various instances of this meme that I have encountered during the last couple of days.)
Wednesday, September 18, 2019
I Have "NoIDEA"
It turns out that there is a journal called "Nonlinear Differential Equations and Applications". The acronym it uses is "NoDEA".
— Mason Porter (@masonporter) September 18, 2019
I feel inspired!
I am going to start a journal called "Nonlinear Integro-Differential Equations and Applications", and its acronym will be "NoIDEA"!
Journal Idea: "Nonlinear Integro-Differential Equations and Applications" (NoIDEA)
I feel inspired!
I am going to start a journal called "Nonlinear Integro-Differential Equations and Applications", and its acronym will be "NoIDEA"!
A Very Large Roll of the Dice (for a Very Large Fireball)
I love the last line of the article: "The truck was undamaged, having made its saving throw."
Note: It would be quite a fireball to require this many d6 rolls!
Note 2: The article title is annoying, as the "perfect" comment is plain wrong. And the 756,000 number doesn't even come from a role. It is estimate based on an equal probability of each outcome for each die and an estimate of the number of dice.
Update: It occurs to me: I'm going to turn this incident into a problem for my mathematical-modeling course.
Tuesday, September 17, 2019
New Journal Paper: "The Value of Thoughts and Prayers"
This paper seems very worthy of an Ig Nobel Prize, though just seeing the title of it mostly makes me feel sad, despite its amusing (and 'improbable') nature.
(Tip of the cap to Bruno Gonçalves.)
Sunday, September 15, 2019
Pictures from Beijing, China (September, 2019)
RIP Ric Ocasek (1944–2019)
He was older than I thought, although their debut album is from the 1970s, so this age does make sense. I like several of their songs quite a bit, and my favorite is probably "You Might Think".
(Tip of the cap to Misty Beaird.)
Update (9/16/19): There is a nice obituary in The New York Times. (Tip of the cap to Diana Thomas.)
Friday, September 13, 2019
2019 Ig Nobel Prizes
Maybe I will get one in one of these years...
Friday, September 06, 2019
Turing Clouds: Some Awesome Mathematical Art
Here are a couple of stills from Blake's website.
The site has plenty of videos and stills, as well as some behind-the-hood blurbs with lay descriptions of some of
the math and computer science.
Wednesday, September 04, 2019
Sunday, September 01, 2019
A LaTeX Typesetting Game
Do you love LaTeX? Play the nerdiest game ever: https://t.co/YQLFipwOjU
— Melanie Mitchell (@MelMitchell1) September 1, 2019
Saturday, August 31, 2019
What Happens in Beijing Stays in Beijing
Wednesday, August 28, 2019
Quiz: Guess the Paper Topic from the Last Line of the Abstract
Your job is to guess the topic of the paper. (In case you want to cheat, you can look at the paper.)
Monday, August 26, 2019
RIP KFOG 104.5
After KSCA 101.9's brief adult-alternative format died (it too broadcast The Dr. Demento Show) and it was possible to get radio stations from around the country over the internet, I listened to KFOG (which had a similar format, as well as Dr. D) a good amount for a while. Whenever my Mac would die and I didn't have access to iTunes for a while, KFOG was a also a station that I sought out during the dry spells.
Alas, as announced today, KFOG is switching formats after many years. It's a pity. In many ways, it's a natural progression — I, and many others, meet our musical needs differently nowadays — but it still makes me feel a bit sad.
Incidentally, it was through 101.9 and the aforementioned format that I first heard a song by Loreena McKennitt.
Sunday, August 25, 2019
Emoji Expression
I hope that some of you will be able to figure out the song.
Using emoji:
— Mason Porter (@masonporter) August 26, 2019
Relationship status: 👤
Kids: 🙄
Pets: ❌
Favorite color: 🍇
Favorite foods: ☕️🍦🍒
Favorite animal: 🦖🦕
Favorite season: ⚾️
Favorite holiday: 🎲🎮♟
Favorite song:😍🤫
Favorite books:🐉🐲⚔️🗡😈👻👹👾
Favorite sports: ⚾️🏓🎱
Occupation: 👨🏻🔬👨🏻🏫♾
Most used emoji: 😱 https://t.co/dyTkTjzK2e
Tuesday, August 20, 2019
Very Cool Artwork of Light and Shadow
The unique light and shadow installations of artist Kumi Yamashita are usually made from ordinary, everyday objects – building blocks, thread, nails, paper cutouts, fabric, and wood, which she then manages to turn into sophisticated imagery https://t.co/OhF8hLF7HA pic.twitter.com/bCRGwq1vMA
— Massimo (@Rainmaker1973) August 20, 2019
Friday, August 16, 2019
Cicadas and Amusing Lab Hijinks
A few weeks ago I left a cicada shell on my colleague’s desk to scare her. Today I came in to find this on my desk - our full lab reconstructed in terrifying detail. There’s an Irish one wearing glasses READING MY REVIEW PAPER. I’m simultaneously traumatised and dying of laughter pic.twitter.com/NzF25pBpYe
— Dr Grace Hallinan (@GraceHallinan) August 16, 2019
(Tip of the cap to Lindsey N. Walker.)
Thursday, August 15, 2019
Trying to Trademark the Word "The"
I love University of Michigan's response on Twitter.
— University of Michigan (@UMich) August 14, 2019
Wednesday, August 14, 2019
List: "Critically Acclaimed Horror Film of the 2010s or Your Ph.D. Program"
(Tip of the cap to Suzanne Sindi.)
Tuesday, August 13, 2019
Monday, August 12, 2019
What Happens at WorldCon Stays at WorldCon
My schedule is below.
I'll be presenting a few mathematical and science things at #WorldCon2019 #Dublin2019 (@Dublin2019) in a couple of weeks, my first time presenting at a science-fiction convention!
— Mason Porter (@masonporter) August 1, 2019
Here is my schedule.
And the website for my academic friends: https://t.co/J4WQPQ1Q0t pic.twitter.com/Aoh6nDgYy7
Saturday, August 10, 2019
One of my Favorite Oxonian Ironies: 5 Years Ago Today
Oxford is a place of ironies — that's one of its great charms — and one of my favorite ones occurred 5 years ago today.
— Mason Porter (@masonporter) August 10, 2019
On that day, an outdoor showing of the movie "Singing in the Rain" was cancelled because of rain. pic.twitter.com/701kNm1Xk4
Thursday, August 08, 2019
Friday, August 02, 2019
Critical-Failure Dice
And I especially like the new rainbow version of these dice!
Update (8/05/19): My dice arrived today!
Thursday, August 01, 2019
Gerrymandering Fonts
If the exact intersection of your interests is graphic design and a deeply abiding hatred of partisan gerrymandering, then have I got the font for you: pic.twitter.com/w1j6iQvANh
— Morgan Baskin (@mhbaskin) August 1, 2019














