Associate Professor @UofTStatSci and @UTSC. I work on mathematical finance, probability, optimal transport, information geometry, and their applications.
New paper on the JKO scheme with Cale Rankin:
https://t.co/yASVehuTus
We prove convergence of JKO schemes with general transport costs. They are particularly useful when the Riemannian Wasserstein distance is computationally intractable but a suitable cost is.
New paper with Steven Campbell who was my PhD student at U of T. The excess growth rate is a fundamental logarithmic functional in portfolio theory. We connect it with various information-theoretic concepts and provide three axiomatic characterization theorems!
Finally, this paper has been published at IEEE Transactions on Information Theory. Very proud of Cale (now at Monash University) and Amanjit who made this happen. We are honoured to dedicate this work to Prof. Amari.
https://t.co/aZBwq9J26f
New version on https://t.co/ZAEbHWNSm8. Couldn't have done it without help from my student Amanjit who joined as a co-author. Includes new implementations with neural OT. Figure shows our primal and dual displacement interpolations w.r.t. "transport KL-geometry" on the simplex.
I've not mentioned it yet on Twitter, but since my department announced it today, I'll do so too. I was promoted to Full Professor 🎉 (effective July 2024, in fact). Those of you who are professors will know how critical mentors and students are to our success, and this is very much the case in my case. I couldn't have asked for a better string of students (and postdocs). They have all found incredible success, and I'm happy to call them colleagues. In fact, one of my postdocs, Thibault Randrianarisoa, has just accepted a tenure track position at UTSC. Congrats, Thibault. In a week, I'm hoping to come back and congratulate yet another student.
🏆Good News. The journal Information Geometry has received its first #ImpactFactor of 🌟1.2🌟!
Ranked as
Q1 (84th/483) in SCIE/ESCI mathematics journals worldwide.👏👏👏
👉https://t.co/Ej4fnKJCuB
cf. CiteScore @Scopus 2024: 2.0
Thanks to all our authors, reviewers and editors!
New version on https://t.co/ZAEbHWNSm8. Couldn't have done it without help from my student Amanjit who joined as a co-author. Includes new implementations with neural OT. Figure shows our primal and dual displacement interpolations w.r.t. "transport KL-geometry" on the simplex.
Proud to present my new paper with Cale Rankin @FieldsInstitute
We study the Bregman-Wasserstein divergence - the optimal transport cost where the cost function is a Bregman divergence.
https://t.co/ZAEbHWNSm8
Article #OTD 1/2
"Logarithmic divergences from optimal transport and Rényi geometry"
L(±α)-divergences induce geometries are dually projectively flat with constant sectional curvatures
Happy to share my new paper on macroscopic properties of the US equity market with Steven Campbell and Qien Song. We study several macroscopic properties such as the capital distribution curve (see figure), market diversity and intrinsic volatility.
https://t.co/w8CcSWVZn5
Professor Shun-ichi Amari, aged 89, giving a brief but passionate speech after all the presentations of "Open Problems in Information Geometry" at #FDIG2025, on March 21, 2025, The University of Tokyo.
Are you a Canadian citizen or PR? 3rd or 4th year in undergrad? Available June 2-13 for a fully funded summer school in statistics?
Learn more and apply here:
https://t.co/zBfdor6DEa
Yours truly will be teaching you some online learning theory.
Recently, Acciaio, Hou, and Pammer extended our method to cover the multivariate case with entropic regularization. Together, we obtained a good understanding of adapted OT between Gaussian processes.
https://t.co/0qGwojmDLo
New paper with my PhD student Madhu Gunasingam. We derive the adapted (bicausal) 2-Wasserstein distance between Gaussian distributions. It leads to an adapted version of the Bures-Wasserstein distance.
https://t.co/86giYONGAf
Comment from Dr. Shun-ichi Amari, RIKEN Honorary Science Advisor, Former Director, RIKEN Brain Science Institute, regarding the 2024 Nobel Prize in Physics
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https://t.co/7TL82dyZj4
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#NovelPrizeInPhysics#AI#Neuroscience#riken#rikencbs@RIKEN_CBS