America's top banker sounds warning on US stock market fall There is a higher risk of a serious fall in US stocks than is currently being reflected in the market, the head of JP Morgan has told the BBC. Jamie Dimon, who leads America's largest bank, said he was far more worried than others about a serious market correction, which he said could come in the next six months to two years. In a rare and wide-ranging interview, the bank boss also said that the US had become a less reliable partner on the world stage. He cautioned he was still a little worried about inflation in the US, but insisted he thought the Federal Reserve would remain independent, despite repeated attacks by the Trump administration on its chair Jerome Powell. Jamie Dimon was in Bournemouth, where he was announcing an investment of about £350m in JP Morgan's campus there, as well as a £3.5m philanthropic investment in local non-profits.

The solution of a PDE over varying initial/boundary conditions on multiple domains is needed in a wide variety of applications, but it is computationally expensive if the solution is computed de novo whenever the initial/boundary conditions of the domain change. We introduce a general operator learning framework, called DIffeomorphic Mapping Operator learNing (DIMON) to learn approximate PDE solutions over a family of domains $\{\Omega_{\theta}}_\theta$, that learns the map from initial/boundary conditions and domain $\Omega_\theta$ to the solution of the PDE, or to specified functionals thereof. DIMON is based on transporting a given problem (initial/boundary conditions and domain $\Omega_{\theta}$) to a problem on a reference domain $\Omega_{0}$, where training data from multiple problems is used to learn the map to the solution on $\Omega_{0}$, which is then re-mapped to the original domain $\Omega_{\theta}$. We consider several problems to demonstrate the performance of the framework in learning both static and time-dependent PDEs on non-rigid geometries; these include solving the Laplace equation, reaction-diffusion equations, and a multiscale PDE that characterizes the electrical propagation on the left ventricle. This work paves the way toward the fast prediction of PDE solutions on a family of domains and the application of neural operators in engineering and precision medicine.

Jamie Dimon, chairman and chief executive of JPMorgan Chase, said in his 2021 letter to shareholders that waves of technological innovation are becoming faster and the science behind them increasingly complex as technology, such as artificial intelligence, is "embedded" in more products. He said: "In today's world, I cannot overemphasize the importance of implementing new technology." The bank announced in January this year that total expenses would increase by approximately $6bn, with $2.5bn mostly related to people, travel and entertainment reflecting higher inflation and increasing competition for labor. Dimon wrote: "This year, we announced that the expenses related to investments would increase from $11.5bn to $15bn. I am going to try to describe the "incremental investments" of $3.5bn, though I can't review them all (and for competitive reasons I wouldn't). But we hope a few examples will give you comfort in our decision-making process."

A popular artificial intelligence method provides a powerful tool for the survey and classification of biological data. But for the illiterate, technology presents significant difficulties. Four years ago, Google scientists showed up at neuroscientist Steve Finkbeiner's door. The researchers were based at Google Accelerated Science, a research division in Mountain View, Calif., which aims to use Google technologies to speed up the scientific search. They were also interested in applying a'deep-learning' approach to the mountains of imaging data generated by Finkbeiner's team at the Gladstone Institute of Neurological Disease in San Francisco, California.