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Archive for the ‘mathematics’ category: Page 41

Sep 29, 2023

Quantum Material Exhibits “Non-Local” Behavior That Mimics Brain Function

Posted by in categories: computing, information science, mathematics, neuroscience, quantum physics

We often believe computers are more efficient than humans. After all, computers can complete a complex math equation in a moment and can also recall the name of that one actor we keep forgetting. However, human brains can process complicated layers of information quickly, accurately, and with almost no energy input: recognizing a face after only seeing it once or instantly knowing the difference between a mountain and the ocean. These simple human tasks require enormous processing and energy input from computers, and even then, with varying degrees of accuracy.

Creating brain-like computers with minimal energy requirements would revolutionize nearly every aspect of modern life. Funded by the Department of Energy, Quantum Materials for Energy Efficient Neuromorphic Computing (Q-MEEN-C) — a nationwide consortium led by the University of California San Diego — has been at the forefront of this research.

UC San Diego Assistant Professor of Physics Alex Frañó is co-director of Q-MEEN-C and thinks of the center’s work in phases. In the first phase, he worked closely with President Emeritus of University of California and Professor of Physics Robert Dynes, as well as Rutgers Professor of Engineering Shriram Ramanathan. Together, their teams were successful in finding ways to create or mimic the properties of a single brain element (such as a neuron or synapse) in a quantum material.

Sep 29, 2023

Evolution wired human brains to act like supercomputers

Posted by in categories: evolution, mathematics, neuroscience, supercomputing

Now, scientists have a mathematical model that closely matches how the human brain processes visual information.

Scientists have confirmed that human brains are naturally wired to perform advanced calculations, much like a high-powered computer, to make sense of the world through a process known as Bayesian inference.

In a study published in the journal Nature Communications, researchers from the University of Sydney, University of Queensland and University of Cambridge developed a specific mathematical model that closely matches how human brains work when it comes to reading vision. The model contained everything needed to carry out Bayesian inference.

Sep 28, 2023

Breakthrough Prize for Quantum Field Theorists

Posted by in categories: mathematics, particle physics, quantum physics

The 2024 Breakthrough Prize in Fundamental Physics goes to John Cardy and Alexander Zamolodchikov for their work in applying field theory to diverse problems.

Many physicists hear the words “quantum field theory,” and their thoughts turn to electrons, quarks, and Higgs bosons. In fact, the mathematics of quantum fields has been used extensively in other domains outside of particle physics for the past 40 years. The 2024 Breakthrough Prize in Fundamental Physics has been awarded to two theorists who were instrumental in repurposing quantum field theory for condensed-matter, statistical physics, and gravitational studies.

“I really want to stress that quantum field theory is not the preserve of particle physics,” says John Cardy, a professor emeritus from the University of Oxford. He shares the Breakthrough Prize with Alexander Zamolodchikov from Stony Brook University, New York.

Sep 28, 2023

Hacking Reality [Official Film]

Posted by in categories: cosmology, mathematics, media & arts, particle physics

Is there an 8-dimensional “engine” behind our universe? Join Marion Kerr on a fun, visually exciting journey as she explores a mysterious, highly complex structure known simply as ‘E8’–a weird, 8-dimensional mathematical object that for some, strange reason, appears to encode all of the particles and forces of our 3-dimensional universe.

Meet surfer and renowned theoretical physicist Garrett Lisi as he rides the waves and paraglides over the beautiful Hawaiian island of Maui and talks about his groundbreaking discovery about E8 relates deeply to our reality; and learn why Los Angeles based Klee Irwin and his group of research scientists believe that the universe is essentially a 3-dimensional “shadow” of this enigmatic… thing… that may exist behind the curtain of our reality.

Continue reading “Hacking Reality [Official Film]” »

Sep 28, 2023

Scientists discover a 100-year-old math error, changing how humans see color

Posted by in categories: computing, information science, mapping, mathematics

In a press release, Bujack, who creates scientific visualizations at Los Alamos National Laboratory, called the current mathematical models used for color perceptions incorrect and requiring a “paradigm shift.”

A surprise finding

Being able to accurately model human color perception has a tremendous impact on automating image processing, computer graphics, and visualization. Bujack’s team first set out to develop algorithms that would automatically enhance color maps used in data visualization to make it easier to read them.

Sep 25, 2023

ChatGPT can now see, hear, and speak

Posted by in categories: mathematics, robotics/AI

We are beginning to roll out new voice and image capabilities in ChatGPT. They offer a new, more intuitive type of interface by allowing you to have a voice conversation or show ChatGPT what you’re talking about.

Voice and image give you more ways to use ChatGPT in your life. Snap a picture of a landmark while traveling and have a live conversation about what’s interesting about it. When you’re home, snap pictures of your fridge and pantry to figure out what’s for dinner (and ask follow up questions for a step by step recipe). After dinner, help your child with a math problem by taking a photo, circling the problem set, and having it share hints with both of you.

We’re rolling out voice and images in ChatGPT to Plus and Enterprise users over the next two weeks. Voice is coming on iOS and Android (opt-in in your settings) and images will be available on all platforms.

Sep 24, 2023

Never-before-seen mathematical patterns found in human cell

Posted by in categories: biotech/medical, mathematics

The researchers compiled an extensive dataset of over 1,200 distinct cell groups, estimating size ranges, mass, and cell counts for each group across 60 tissue systems in three reference humans — an adult man, woman, and child.

“For the first time, we have systematically measured the size and abundance of cells across all major tissues and organs,” said Dr. Hatton. This spans seven orders of magnitude from tiny red blood cells to large muscle fibers.

While many contemporary works focus on molecular profiling, this study adopts a classical cell biology approach, quantifying morphological features of known cell types. The team integrated decades of histological and anatomical research to establish a framework. They discovered a striking near-inverse relationship between cell size and abundance, implying a trade-off between the two variables.

Sep 24, 2023

Is physical reality a hoax | Peter Atkins, James Ladyman, Joanna Kavenna

Posted by in categories: mathematics, particle physics

Peter Atkins, James Ladyman, and Joanna Kavenna argue over the existence of physical reality.

Watch the full debate at https://iai.tv/video/the-world-that-disappeared?utm_source=Y…escription.

Continue reading “Is physical reality a hoax | Peter Atkins, James Ladyman, Joanna Kavenna” »

Sep 22, 2023

Arithmetic Has a Biological Origin—It’s an Expression in Symbols of the ‘Deep Structure’ of Our Perception

Posted by in categories: biological, mathematics

By stepping outside the box of our usual way of thinking about numbers, my colleagues and I have recently shown that arithmetic has biological roots and is a natural consequence of how perception of the world around us is organized.

Our results explain why arithmetic is true and suggest that mathematics is a realization in symbols of the fundamental nature and creativity of the mind.

Thus, the miraculous correspondence between mathematics and physical reality that has been a source of wonder from the ancient Greeks to the present—as explored in astrophysicist Mario Livio’s book Is God a Mathematician?—suggests the mind and world are part of a common unity.

Sep 20, 2023

Telling AI model to “take a deep breath” causes math scores to soar in study

Posted by in categories: mathematics, robotics/AI

Google DeepMind researchers recently developed a technique to improve math ability in AI language models like ChatGPT by using other AI models to improve prompting—the written instructions that tell the AI model what to do. It found that using human-style encouragement improved math skills dramatically, in line with earlier results.

In a paper called “Large Language Models as Optimizers” listed this month on arXiv, DeepMind scientists introduced Optimization by PROmpting (OPRO), a method to improve the performance of large language models (LLMs) such as OpenAI’s ChatGPT and Google’s PaLM 2. This new approach sidesteps the limitations of traditional math-based optimizers by using natural language to guide LLMs in problem-solving. “Natural language” is a fancy way of saying everyday human speech.

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