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Categories: Mathematics: General, Mathematics: Statistics
Published Novel robust-optimal controllers based on fuzzy descriptor system
(via sciencedaily.com) Original source The Takagi--Sugeno (T--S) fuzzy descriptor system offers a promising avenue for controlling non-linear systems but lacks optimal control strategies. Moreover, while robust control methods have been developed, they add additional complexity. To address these limitations, a team of researchers has developed novel optimal and robust-optimal controllers based on the T--S fuzzy descriptor model, holding great potential for enhanced autonomous systems.
Published How scientists are accelerating chemistry discoveries with automation
(via sciencedaily.com) Original source Scientists have developed an automated workflow that could accelerate the discovery of new pharmaceutical drugs and other useful products. The new automated approach could analyze chemical reactions in real time and identify new chemical-reaction products much faster than current laboratory methods.
Published The math problem that took nearly a century to solve: Secret to Ramsey numbers
(via sciencedaily.com) Original source Little progress had been made in solving Ramsey problems since the 1930s. Now, researchers have found the answer to r(4,t), a longstanding Ramsey problem that has perplexed the math world for decades.
Published Powerful new AI can predict people's attitudes to vaccines
(via sciencedaily.com) Original source A powerful new tool in artificial intelligence is able to predict whether someone is willing to be vaccinated against COVID-19.
Published Researchers develop a new control method that optimizes autonomous ship navigation
(via sciencedaily.com) Original source Existing ship control systems using Model Predictive Control for Maritime Autonomous Surface Ships (MASS) do not consider the various forces acting on ships in real sea conditions. Addressing this gap, researchers developed a novel time-optimal control method, that accounts for the real wave loads acting on a ship, enabling effective planning and control of MASS at sea.
Published Satellites for quantum communications
(via sciencedaily.com) Original source Through steady advances in the development of quantum computers and their ever-improving performance, it will be possible in the future to crack our current encryption processes. To address this challenge, researchers are developing encryption methods that will apply physical laws to prevent the interception of messages. To safeguard communications over long distances, the QUICK space mission will deploy satellites.
Published How do neural networks learn? A mathematical formula explains how they detect relevant patterns
(via sciencedaily.com) Original source Neural networks have been powering breakthroughs in artificial intelligence, including the large language models that are now being used in a wide range of applications, from finance, to human resources to healthcare. But these networks remain a black box whose inner workings engineers and scientists struggle to understand. Now, a team has given neural networks the equivalent of an X-ray to uncover how they actually learn.
Published Balancing training data and human knowledge makes AI act more like a scientist
(via sciencedaily.com) Original source When you teach a child how to solve puzzles, you can either let them figure it out through trial and error, or you can guide them with some basic rules and tips. Similarly, incorporating rules and tips into AI training -- such as the laws of physics --could make them more efficient and more reflective of the real world. However, helping the AI assess the value of different rules can be a tricky task.
Published Method rapidly verifies that a robot will avoid collisions
(via sciencedaily.com) Original source A new safety-check technique can prove with 100 percent accuracy that a planned robot motion will not result in a collision. The method can generate a proof in seconds and does so in a way that can be easily verified by a human.
Published Drawings of mathematical problems predict their resolution
(via sciencedaily.com) Original source Solving arithmetic problems, even simple subtractions, involves mental representations whose influence remains to be clarified. Visualizing these representations would enable us to better understand our reasoning and adapt our teaching methods. A team has now analyzed drawings made by children and adults when solving simple problems. The scientists found that, whatever the age of the participant, the most effective calculation strategies were associated with certain drawing typologies. These results open up new perspectives for the teaching of mathematics.
Published Running performance helped by mathematical research
(via sciencedaily.com) Original source A new mathematical model has shown, with great precision, the impact that physiological and psychological parameters have on running performance and provides tips for optimized training.
Published Network of quantum sensors boosts precision
(via sciencedaily.com) Original source Quantum sensor technology promises even more precise measurements of physical quantities. A team has now compared the signals of up to 91 quantum sensors with each other and thus successfully eliminated the noise caused by interactions with the environment. Correlation spectroscopy can be used to increase the precision of sensor networks.
Published Pythagoras was wrong: there are no universal musical harmonies, new study finds
(via sciencedaily.com) Original source The tone and tuning of musical instruments has the power to manipulate our appreciation of harmony, new research shows. The findings challenge centuries of Western music theory and encourage greater experimentation with instruments from different cultures.
Published Maths: Smart learning software helps children during lockdowns -- and beyond
(via sciencedaily.com) Original source Intelligent tutoring systems for math problems helped pupils remain or even increase their performance during the coronavirus pandemic, according to a new study. Researchers analyzed data from five million exercises done by around 2,700 pupils in Germany over a period of five years. The study found that particularly lower-performing children benefit if they use the software regularly.
Published What math tells us about social dilemmas
(via sciencedaily.com) Original source Human coexistence depends on cooperation. Individuals have different motivations and reasons to collaborate, resulting in social dilemmas, such as the well-known prisoner's dilemma. Scientists now present a new mathematical principle that helps to understand the cooperation of individuals with different characteristics.
Published New chip opens door to AI computing at light speed
(via sciencedaily.com) Original source Engineers have developed a new chip that uses light waves, rather than electricity, to perform the complex math essential to training AI. The chip has the potential to radically accelerate the processing speed of computers while also reducing their energy consumption.
Published Researchers show classical computers can keep up with, and surpass, their quantum counterparts
(via sciencedaily.com) Original source A team of scientists has devised means for classical computing to mimic a quantum computing with far fewer resources than previously thought. The scientists' results show that classical computing can be reconfigured to perform faster and more accurate calculations than state-of-the-art quantum computers.
Published Swarming cicadas, stock traders, and the wisdom of the crowd
(via sciencedaily.com) Original source The springtime emergence of vast swarms of cicadas can be explained by a mathematical model of collective decision-making with similarities to models describing stock market crashes.
Published How does a 'reverse sprinkler' work? Researchers solve decades-old physics puzzle
(via sciencedaily.com) Original source For decades scientists have been trying to solve Feynman's Sprinkler Problem: How does a sprinkler running in reverse work? Through a series of experiments, a team of mathematicians has figured out how flowing fluids exert forces and move structures, thereby revealing the answer to this long-standing mystery.
Published New method flips the script on topological physics
(via sciencedaily.com) Original source The branch of mathematics known as topology has become a cornerstone of modern physics thanks to the remarkable -- and above all reliable -- properties it can impart to a material or system. Unfortunately, identifying topological systems, or even designing new ones, is generally a tedious process that requires exactly matching the physical system to a mathematical model. Researchers have demonstrated a model-free method for identifying topology, enabling the discovery of new topological materials using a purely experimental approach.