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When biology inspires mathematics: new discovery explains why a widely used evolutionary method can give false answers

Scientists identify previously unrecognized mathematical property explaining why widely used evolutionary statistical models can produce convincing but incorrect conclusions. A new decomposition of Markov models revealed hidden symmetries, allowing researchers to answer long-standing questions about species diversity.

SourceUniversity of Helsinki·JournalNature Communications·DateSep 3, 2026

Generative model unveils secrets of material disorder

Scientists at National University of Singapore developed a hybrid generative machine learning model to explore structural disorders in complex materials. The model unveiled pathways to material disorder, shedding light on factors affecting piezoelectric response. It also found evidence that domain boundaries maximize entropy.

SourceNational University of Singapore·JournalScience Advances·TypeComputational simulation/modeling·DateDec 3, 2023

Engineering safer machine learning

A new research paper challenges the idea that unlimited trials are needed to learn safe actions in unfamiliar environments. The team presents a fresh approach that ensures learning safe actions with complete confidence while managing tradeoffs between optimality and exposure to unsafe events.

SourceUniversity of Pittsburgh·JournalIEEE Transactions on Automatic Control·DateJun 14, 2023

Researchers fix ‘fundamental flaw,’ improving pandemic prediction model

Researchers from North Carolina State University identified a fundamental flaw in a commonly used pandemic model that causes it to severely underestimate disease spread. By modifying parts of an existing model, they substantially improved its accuracy when compared to real-world data on the COVID-19 Omicron variant.

SourceNorth Carolina State University·JournalProceedings of the Royal Society A Mathematical Physical and Engineering Sciences·TypeComputational simulation/modeling·DateJan 11, 2023

Mathematical theorem finds gerrymandering in Pennsylvania congressional district maps

A new mathematical theorem developed by Carnegie Mellon University and University of Pittsburgh mathematicians proves that Pennsylvania's congressional district maps are likely the result of gerrymandering. The researchers used a Markov chain to analyze the characteristics of the current map, comparing it to randomly generated typical ...

SourceCarnegie Mellon University·JournalProceedings of the National Academy of Sciences·DateFeb 28, 2017

Delivery by drone

MIT researchers have created an algorithm that enables a drone to monitor its health in real-time, allowing it to take proactive measures during delivery missions. The approach simplifies planning by separating vehicle-level and mission-level tasks, resulting in more efficient and reliable deliveries.