A differentiable variant of the Gillespie algorithm enables gradient-based optimization for stochastic chemical kinetics, facilitating efficient parameter estimation and the design of biochemical ...

Recurrent spiking networks that process input stimuli with optimal efficiency have key emerging properties that are similar to those of biological neural networks.

The study of wave phenomena by means of mathematical models often leads to a certain class of nonlinear partial differential equations referred to as integrable systems. My main area of research deals ...

Internationally renowned (6th in the UK, QS World University Rankings by Subject 2024: Mathematics), UCL Mathematics is home to world-leading researchers in a wide range of fields, especially geometry ...

and structured proper differential algebraic equations (DAEs) that allow for implicit index reduction are also supported. The solvers philosophy is to always work on the implicitly linearized (for ...

The system, called "AlphaGeometry2" (AG2), is an advanced AI framework capable of solving 84% of geometry problems posed in the International Mathematical Olympiad (IMO). The average IMO gold ...

Experiments coupling light and sound reveal the surprising effect that measuring nothing can cool the vibrations of an object. We use measurements to understand the world around us. With our eyes ...