After a final early morning run in the rising sun, reaching a point north of the city where I could see a nearby volcano (not Fuji-san!), I attended both morning on MCMC, with (again) a range of interesting, mostly novel, questions and solutions. With no overlap with his talk at mostly Monte Carlo last month, Sam Livingstone gave convincing motivations for using new tools for designing proper scaling (in the limit) for some adaptive MCMC. Charles Margossian’s talk was particularly exciting for pushing for single step MCMC when massively run in parallel, provided warm-up is over (enough). And Saif Syed discussing a new version of annealed SMC, using the variability of the estimated normalising constant as an assessment of the (although I could not catch how the tridimensional calibration was handled). I was less convinced by Kyle Kuang’s approach to overcome identifiability issues such as label switching, as it sounded too simple to be universally applicable. Bingjing Tang returned to the challenge of doubly intractable posteriors. With motivations from functional inference and a solution reminding me of noise contrastive estimation. until I spoke with the authors and realised it was much closer to our recent paper with Edoardo and Julien. While Bjorn Sprungk’s talk on Metropolized interacting particle sampling reminded me of our pinball sampler, presented… 30 years ago at the 1996 Valencia meeting! But using the product of posteriors as a target sounds suboptimal when a target that would keep particles apart (with the correct marginals) would prove more exploratory.

My final session—before catching a shinkansen to Tokyo for the Information Geometry, Privacy and Monte Carlo ISBA Satellite Meeting at the Institute of Statistical Mathematics—was about loss-based posteriors, with our PhD student Shreya Roy presenting her work on prequential posteriors. And Kshitij Khare on using a loss that allows for a regular Gibbs sampler implementation via a pseudo-model and consistency properties.
This cuvée of ISBA World Meeting was exceptionally (gouleyante and) enjoyable (except for my recurrent sleeping issues) from the diverse and well-balanced programme, to the choice of plenary speakers, to the practicality of the conference centre (except for the queues for the lift!) and its location in Nagoya, with its own, unsuspected, perks! With no food poisoning this time!! ISBA 2028 is scheduled to take place in Milwaukee and I am very unlikely to attend, unless a rogue mirror pops up!
![During my last visit to Ca' Foscari, it coïncided with a time series workshop organised by Christian Brownlees and Katerina Petrova. Hosted in the splendid conference room of the historical building. It had been a while since I attended an econometrics workshop and this proved an interesting refresher! Including the perplexing [imho] focus of some talks on issues I would not deem of importance. For instance, considering models with sample size dependent parameters. Or resorting to instrumental variables. But also mathematical techniques for establishing convergence or uniform results.](https://xianblog.wordpress.com/wp-content/uploads/2026/04/2026-04-22_18-03-20_797-e1776873936441.jpg?w=450)
During 