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Archive for the ‘mathematics’ category: Page 20

Mar 12, 2024

How do neural networks learn? A mathematical formula explains how they detect relevant patterns

Posted by in categories: finance, health, mathematics, robotics/AI

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 health care. But these networks remain a black box whose inner workings engineers and scientists struggle to understand.

Mar 12, 2024

Researchers explore quantum computing’s ability to speed solutions for financial sector

Posted by in categories: biotech/medical, chemistry, computing, finance, mathematics, quantum physics

The work, facilitated by the Chicago Quantum Exchange (CQE) and led by a team that includes UD, Argonne, JPMorgan Chase and University of Chicago scientists, lays groundwork for future applications—and highlights the need for cross-sector collaboration.


The third category, stochastic modeling, is used across the sciences to predict the spread of disease, the evolution of a chemical reaction, or weather patterns. The mathematical technique models complex processes by making random changes to a variable and observing how the process responds to the changes.

The method is used in finance, for instance, to describe the evolution of stock prices and interest rates. With the power of quantum computing behind it, stochastic modeling can provide faster and more accurate predictions about the market.

Continue reading “Researchers explore quantum computing’s ability to speed solutions for financial sector” »

Mar 10, 2024

Chinese Researchers on the Brink of Developing ‘Real AI Scientists’ Capable of Conducting Experiments, Solving Scientific Problems

Posted by in categories: mathematics, physics, robotics/AI

A team of researchers from Peking University and the Eastern Institute of Technology (EIT) in China has developed a new framework to train machine learning models with prior knowledge, such as the laws of physics or mathematical logic, alongside data.


Chinese researchers are on the brink of pioneering a groundbreaking approach to developing ‘AI scientists capable of conducting experiments and solving scientific problems.

Recent advances in deep learning models have revolutionized scientific research, but current models still struggle to simulate real-world physics interactions accurately.

Continue reading “Chinese Researchers on the Brink of Developing ‘Real AI Scientists’ Capable of Conducting Experiments, Solving Scientific Problems” »

Mar 10, 2024

Chinese researchers hope to create ‘real AI scientists’

Posted by in categories: mathematics, physics, robotics/AI

“Without a fundamental understanding of the world, a model is essentially an animation rather than a simulation,” said Chen Yuntian, study author and a professor at the Eastern Institute of Technology (EIT).

Deep learning models are generally trained using data and not prior knowledge, which can include things such as the laws of physics or mathematical logic, according to the paper.

But the scientists from Peking University and EIT wrote that when training the models, prior knowledge could be used alongside data to make them more accurate, creating “informed machine learning” models capable of incorporating this knowledge into their output.

Mar 9, 2024

Matrix multiplication breakthrough could lead to faster, more efficient AI models

Posted by in categories: mathematics, robotics/AI

At the heart of AI, matrix math has just seen its biggest boost “in more than a decade.”

Mar 9, 2024

MathScale: Scaling Instruction Tuning for Mathematical Reasoning

Posted by in category: mathematics

MathScale.

Scaling instruction tuning for mathematical reasoning.

Large language models (LLMs) have demonstrated remarkable capabilities in problem-solving.

Continue reading “MathScale: Scaling Instruction Tuning for Mathematical Reasoning” »

Mar 9, 2024

SBU Research Team Takes Major Step Toward a Functioning Quantum Internet

Posted by in categories: computing, internet, mathematics, quantum physics

A team of Stony Brook University physicists and their collaborators have taken a significant step toward the building of a quantum internet testbed by demonstrating a foundational quantum network measurement that employs room-temperature quantum memories. Their findings are described in a paper published in the Nature journal Quantum Information.

Research with quantum computing and quantum networks is taking place around the world in the hopes of developing a quantum internet, a network of quantum computers, sensors, and communication devices that will create, process, and transmit quantum states and entanglement. It is anticipated to enhance society’s internet system and provide certain services and securities that the current internet does not have.

The field of quantum information combines aspects of physics, mathematics, and classical computing to use quantum mechanics to solve complex problems much faster than classical computing and to transmit information in an unhackable manner. While the vision of a quantum internet system is growing and the field has seen a surge in interest from researchers and the public at large, accompanied by a steep increase in the capital invested, an actual quantum internet prototype has not been built.

Mar 9, 2024

Google’s new app uses AI to solve math problems

Posted by in categories: mathematics, robotics/AI

Stuck on math homework? Google’s Photomath can help your kid ace it (in a good way).

Mar 9, 2024

Compact Disks make Comeback: Memory could Exceed Petabytes

Posted by in categories: computing, mathematics, open access

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Memory storage technology has come a long way from compact disks. Or has it? In a recent paper, scientists report they were able to fit petabytes of memory onto a compact disk using new laser technologies and advanced material design. Is this the future of data storage? Let’s have a look.

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Mar 9, 2024

Elliptic Curve ‘Murmurations’ Found With AI Take Flight

Posted by in categories: mathematics, robotics/AI

Draw a line between P and Q. That line will intersect the curve at a third point, R. (Mathematicians have a special trick for dealing with the case where the line doesn’t intersect the curve by adding a “point at infinity.”) The reflection of R across the x-axis is your sum P + Q. Together with this addition operation, all the solutions to the curve form a mathematical object called a group.

Mathematicians use this to define the “rank” of a curve. The rank of a curve relates to the number of rational solutions it has. Rank 0 curves have a finite number of solutions. Curves with higher rank have infinite numbers of solutions whose relationship to one another using the addition operation is described by the rank.

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