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Categories: Biology: Molecular, Mathematics: General

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A new study finds that a 200-year-old technique called Fourier analysis can reveal crucial information about how the form of artificial intelligence called deep neural networks (DNN) learn to perform tasks involving complex physics. Researchers discovered the technique can directly connect what a DNN has learned to the physics of the complex system the DNN is modeling.

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If scaled up successfully, the team's new system could help answer questions about certain kinds of superconductors and other unusual states of matter.

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A mathematician was keen to forecast the evolution of the COVID epidemic. Instead, he ended up solving a problem which had troubled computer scientists for decades.

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A new paper presents a mathematical model for the motion of bacteria that includes cell division and death, the basic ingredients of the cell cycle.

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Mathematical analysis identifies a vortex structure that is impervious to decay.

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The reliability of data storage and writing speed in advanced magnetic devices depend on drastic, complex changes in microscopic magnetic domain structures. However, it is extremely challenging to quantify these changes, limiting our understanding of magnetic phenomena. To tackle this, researchers developed, using machine learning and topology, an analysis method that quantifies the complexity of the magnetic domain structures, revealing hidden features of magnetization reversal that are hardly seen by human eyes.

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With the theory that for every action, even those seemingly complex and random, there is a math problem that describes it, a researcher is publishing a new formula that helps find that equation quickly. Yes, he's speeding up science.

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Researchers have devised a computer-based platform for drug discovery that could make the process more effective, more efficient and less costly.

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Researchers have identified a new method for scheduling radiation therapy that could be as much as 22 percent more effective at killing cancer cells than current standard radiation treatment regimens.

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Coupling two approaches of game theory can shed light on how moral norms evolve.

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A new study by mathematicians shows that math borrowed from neuroscience can describe how swarms of these unique insects coordinate their light show, capturing key details about how they behave in the wild.

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Reducing redundant information to find simplifying patterns in data sets and complex networks is a scientific challenge in many knowledge fields. Moreover, detecting the dimensionality of the data is still a hard-to-solve problem. A new article presents a method to infer the dimensionality of complex networks through the application of hyperbolic geometrics, which capture the complexity of relational structures of the real world in many diverse domains.

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America was unprepared for the magnitude of the pandemic, which overwhelmed many counties and filled some hospitals to capacity. A new study suggests there may have been a mathematical method, of sorts, to the madness of those early COVID days.

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Music and arts classes are often first on the chopping block when schools face tight budgets and pressure to achieve high scores on standardized tests. But it's precisely those classes that can increase student interest in school and even benefit their math achievement, according to a new study.

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Policy makers assume that adding more detail to mathematical models will produce more accurate predictions, but that's not always the case, a new study shows.

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Predicting the rupture of aneurysms is crucial for medical prevention and treatment. As aspect ratio and size ratio increase and an aneurysm expands, the stress applied against the aneurysm walls and the time blood spends within it increase. This leads the probability of rupture to rise. Researchers develop a patient-specific mathematical model to examine what aneurysm parameters influence rupture risk prior to surgery. Computed tomography scans are fed into the model, which reconstructs the geometry and blood flow of the aneurysm. It then uses equations to describe the fluid flow, generating information about the blood vessel walls and blood flow patterns.

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Two researchers have published a study that asked students if they see themselves as a math or science person, then followed up with them several times in following years. Results showed those who said yes in ninth grade were much likelier to major in STEM subjects and work in related fields after college. The results show the importance of helping students have positive math and science experiences early and could be a way to help address equity gaps in STEM.

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Mathematical models indicate that as few as one in five cases of COVID-19 which occurred during the first 29 months of the pandemic are accounted for in the half billion cases officially reported.

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Researchers have developed a new mathematical technique to begin to understand how a cell's nucleus is organized. They hope this understanding will expose vulnerabilities that can be targeted to reprogram a cell to stop cancer or other diseases.

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Researchers have developed a new approach that uses math to determine the best ways to group individuals to maximize learning. Their work has broad implications in education, as well as in economics, music, medicine, and sports.