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New ActivityThe latest activity to be updated on this site is called "Snail Race" (A race between 12 snails. Which snail is most likely to win? This is the students' version of the race simulation.). So far this activity has been accessed 206865 times and 1125 people have earned a Transum Trophy for completing it. Recent News:Synchronization in neural nets: Mathematical insight into neuron readout drives significant improvements in prediction accuracyResearchers applied the mathematical theory of synchronization to clarify how recurrent neural networks (RNNs) generate predictions, revealing a certain map, based on the generalized synchronization, that yields correct target values. They showed that conventional reservoir computing (RC), a type of RNN, can be viewed as a linear approximation, and introduced a 'generalized readout' incorporating further order approximations. Using a chaotic time-series forecasting task, they demonstrated that this approach dramatically enhances both prediction accuracy and robustness. more... Pioneering mathematical model could help protect privacy and ensure safer use of AIAI tools are increasingly being used to track and monitor us both online and in-person, yet their effectiveness comes with big risks. Computer scientists have developed a new mathematical model which could help people better understand the risks posed by AI and assist regulators in protecting peoples' privacy. more... How do directional connections shape complex dynamics in neuronal networks?In order to uncover the relationship between structure and function, researchers used microfluidic devices to study neuronal networks. more... How does a hula hoop master gravity? Mathematicians prove that shape mattersHula hooping is so commonplace that we may overlook some interesting questions it raises: 'What keeps a hula hoop up against gravity?' and 'Are some body types better for hula hooping than others?' A team of mathematicians explored and answered these questions with findings that also point to new ways to better harness energy and improve robotic positioners. more... Physicists 'bootstrap' validity of string theoryString theory remains elusive as a 'provable' phenomenon. But a team of physicists has now taken a significant step forward in validating string theory by using an innovative mathematical method that points to its 'inevitability.' more... String figures shed light on cultural connections and the roots of mathematical reasoningNew research suggests that the making of string figures, a globally documented practice, may point to shared cultural heritage stretching back millennia. The research offers a new way to investigate the evolution and distribution of cultural phenomena using mathematical methods. more... Physics and emote design: Quantifying clarity in digital imagesWhen analyzing artworks, understanding the visual clarity of compositions is crucial. Inspired by digital artists, researchers have created a metric to quantify clarity in digital images. As a result, scientists can accurately capture changes in structure during artistic processes and physical transformations. This new metric can improve analysis and decision-making across the scientific and creative domains, potentially transforming how we understand and evaluate the structure of images. It has been tested on digital artworks and physical systems. more... |
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