High-resolution fMRI reveals a shared cortical map in which fractions and integers are organized by magnitude in educated adults performing a comparison task. Subject of Research: Cortical representation of integer and fraction magnitudes in the human brain Article Title: A…
A recurrent neural network trained on simulation data predicts soliton dynamics in Kerr resonators about twenty times faster than traditional Lugiato–Lefever computations.
Researchers have developed a gas-kinetic scheme with space-time adaptive mesh refinement that lets different grid regions advance at different time steps, cutting computational cost in simulations of shocks, vortices and singular flows. News Source: Audrey Campbell. (October 28, 2026). New space-time adaptive…
Researchers have introduced an augmented multiscale finite element formulation that enforces incompressibility through an iterative penalty approach and shows improved accuracy and robustness across a series of benchmark flow problems. News Source: Audrey Campbell. (October 27, 2026). New Augmented Multiscale Method Sharpens…
A Sandia-led project within the Department of Energy’s Genesis Mission will combine physics-constrained AI, large-scale simulation and Bayesian methods to quantify uncertainty in turbulent-flow predictions. Researchers led by Sandia National Laboratories are developing a physics-constrained artificial intelligence foundation model for…
NASA researchers used Computation Tree Logic model-checking to formally verify that their machine learning runway configuration tool meets crosswind and tailwind safety limits in 94 percent of realistic scenarios. Subject of Research: Formal verification of a machine learning runway configuration tool…
OpenAI recently achieved a solution to the Navier-Stokes existence and smoothness problem, one of mathematics’ most enduring challenges, the company says. The internal AI model reportedly cost more to produce the result than the $1 million prize offered by the Clay…
Building a good mathematics test is a surprisingly hard optimization problem. Every item in a test bank carries its own content domain, difficulty level, cognitive demand, and point value, and a well-constructed exam must balance all of these simultaneously while…
A new nested multi-time-scale stochastic approximation method eliminates ratio-induced bias in likelihood-free parameter estimation, improving accuracy by up to two orders of magnitude at the same computational cost. News Source: Denise Maddox. (October 17, 2026). Ratio-Free Algorithm Cuts Hidden Bias in Likelihood-Free…
New mathematics papers in journals and on arXiv as reported in the news: Nature and other journal papers, preprints and notable new results.
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