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Archive for the ‘mathematics’ category: Page 134

Feb 19, 2019

Observation of quantized heating in quantum matter

Posted by in categories: energy, law, mathematics, quantum physics

Shaking a physical system typically heats it up, in the sense that the system continuously absorbs energy. When considering a circular shaking pattern, the amount of energy that is absorbed can potentially depend on the orientation of the circular drive (clockwise/anti-clockwise), a general phenomenon known as circular dichroism.

In 2017, Nathan Goldman (ULB, Brussels), Peter Zoller (IQOQI, Innsbruck) and coworkers predicted that can be quantized in (heating is then constrained by strict integers) forming a “topological state.” According to this , the quantization of energy absorption upon circular driving can be directly related to topology, a fundamental mathematical concept that characterizes these intriguing states of matter.

Writing in Nature Physics, the experimental group of Klaus Sengstock and Christof Weitenberg (Hamburg), in collaboration with the team of Nathan Goldman, reports on the first observation of quantized circular dichroism. Following the theoretical proposal of Goldman, Zoller et al., the experimentalists realized a topological state using an ultracold atomic gas subjected to , and studied its heating properties upon circular shaking of the gas. By finely monitoring the heating rates of their system, for a wide range of driving frequencies, they were able to validate the quantization law predicted by Goldman, Zoller et al. in 2017, in agreement with the underlying topological state realized in the laboratory.

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Feb 6, 2019

Bees have brains for basic math, study finds

Posted by in categories: mathematics, neuroscience

Researchers have found bees can do basic mathematics, in a discovery that expands our understanding of the relationship between brain size and brain power.

Building on their finding that honeybees can understand the concept of zero, Australian and French researchers set out to test whether bees could perform arithmetic operations like addition and subtraction.

Solving requires a sophisticated level of cognition, involving the complex mental management of numbers, long-term rules and short term working memory.

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Feb 6, 2019

To conserve energy, AI clears up cloudy forecasts

Posted by in categories: mathematics, robotics/AI

If the forecast calls for rain, you’ll probably pack an umbrella. If it calls for cold, you may bring your mittens. That same kind of preparation happens in buildings, where sophisticated heating and cooling systems adjust themselves based on the predicted weather.

But when the forecast is imperfect—as it often is—buildings can end up wasting , just as we may find ourselves wet, cold or burdened with extra layers we don’t need.

A new approach developed by Fengqi You, professor in engineering at Cornell University, predicts the accuracy of the forecast using a machine learning model trained with years’ worth of data on forecasts and actual weather conditions. You combined that predictor with a that considers characteristics including the size and shape of rooms, the construction materials, the location of sensors and the position of windows.

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Feb 3, 2019

Neural Networks Need a Cookbook. Here Are the Ingredients

Posted by in categories: mathematics, robotics/AI

Neural networks can be as unpredictable as they are powerful. Now mathematicians are beginning to reveal how a neural network’s form will influence its function.

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Feb 2, 2019

AHS18 Michael Rose — Evolutionary Biology of Diet, Aging, and Mismatch

Posted by in categories: biological, evolution, life extension, mathematics

Human health depends on age and evolutionary history. Firstly, adaptation is age-specific, with Hamilton’s forces of natural selection leading to much greater adaptation at earlier ages than later ages. This of course is how evolutionary biologists explain the existence of aging in the first place. Secondly, when environmental conditions change, it takes surprisingly few generations for populations to adapt to such new conditions, at least at early ages when natural selection is intense. Thirdly, at later ages, when the forces of natural selection are weak, natural selection will often fail to produce adaptation to a selective environment that is not evolutionarily ancient. All three of these themes will be illustrated using both explicit mathematical theory and findings from experimental evolution. At the end of the presentation, we will apply these general scientific insights to the case of human evolutionary history, human aging, and optimal human diets.

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Jan 21, 2019

AI Created in DNA-Based Artificial Neural Networks

Posted by in categories: bioengineering, biotech/medical, mathematics, neuroscience, robotics/AI, security

Mention artificial intelligence (AI) or artificial neural networks, and images of computers may come to mind. AI-based pattern recognition has a wide variety of real-world uses, such as medical diagnostics, navigation systems, voice-based authentication, image classification, handwriting recognition, speech programs, and text-based processing. However, artificial intelligence is not limited to digital technology and is merging with the realm of biology—synthetic biology and genomics, to be more precise. Pioneering researchers led by Dr. Lulu Qian at the California Institute of Technology (Caltech) have created synthetic biochemical circuits that are able to perform information processing at the molecular level–an artificial neural network consisting of DNA instead of computer hardware and software.

Artificial intelligence is in the early stages of a renaissance period—a rebirth that is largely due to advances in deep learning techniques with artificial neural networks that have contributed to improvements in pattern recognition. Specifically, the resurgence is largely due to a mathematical tool that calculates derivatives called backpropagation (backward propagation)—it enables artificial neural networks to adjust hidden layers of neurons when there are outlier outcomes for more precise results.

Artificial neural networks (ANN) are a type of machine learning method with concepts borrowed from neuroscience. The structure and function of the nervous system and brain were inspiration for artificial neural networks. Instead of biological neurons, ANNs have artificial nodes. Instead of synapses, ANNs have connections that are able to transmit signals between nodes. Like neurons, the nodes of ANNs are able to receive and process data, as well as activate other nodes connected to it.

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Jan 20, 2019

Bees May Understand Zero, a Concept That Took Humans Millennia to Grasp

Posted by in categories: mathematics, robotics/AI

Brief mention of AI implications…


As a mathematical concept, the idea of zero is relatively new in human society—and indisputably revolutionary. It’s allowed humans to develop algebra, calculus and Cartesian coordinates ; questions about its properties continue to incite mathematical debate today. So it may sound unlikely that bees — complex and community-based insects to be sure, but insects nonetheless — seem to have mastered their own numerical concept of nothingness.

Despite their sesame-seed-sized brains, honey bees have proven themselves the prodigies of the insect world. Researcher has found that they can count up to about four, distinguish abstract patterns, and communicate locations with other bees. Now, Australian scientists have found what may be their most impressive cognitive ability yet: “zero processing,” or the ability to conceptualize nothingness as a numerical value that can be compared with more tangible quantities like one and two.

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Jan 16, 2019

The Independent Core Observer Model Computational Theory of Consciousness and the Mathematical model for Subjective Experience

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

Graeme Ross: “Once again the over-riding need to measure the immeasurable raises it‘s ugly head. Statistics are proof of ignorance. Numbers are not knowledge. It has been mooted that we are a mental construct that incorporates multiple persona in our subconscious and semi-conscious mind. Find the theory for yourself. I wont quote what you can find yourselves. If we are a construct, ever-changing, ever-evolving in complexity and moment-to-moment inner focus, and if, as it has been mooted, we have constant and endless conversation with these ever-changing inner mental persona, then it follows that without capturing that process in mid-flight (as it were) we can‘t deduce the reasoning that results from these conversations. Therefore we are not able to quantify these processes in any way at all. It is ephemeral. Thought takes place in the interval between knowing and asking. Trying to build a machine that will think would take far more resources than mankind will ever possess.”


Abstract: This paper outlines the Independent Core Observer Model (ICOM) Theory of Consciousness defined as a computational model of consciousness that is objectively measurable and an abstraction produced by a mathematical model where the subjective experience of the system is only subjective from the point of view of the abstracted logical core or conscious part of the system where it is modeled in the core of the system objectively. Given the lack of agreed-upon definitions around consciousness theory, this paper sets precise definitions designed to act as a foundation or baseline for additional theoretical and real-world research in ICOM based AGI (Artificial General Intelligence) systems that can have qualia measured objectively.

Published via Conference/Review Board: ICIST 2018 – International Conference on Information Science and Technology – China – April 20-22nd. (IEEE conference) [release pending] and https://www.itm-conferences.org/

Continue reading “The Independent Core Observer Model Computational Theory of Consciousness and the Mathematical model for Subjective Experience” »

Jan 12, 2019

Mathematicians Discovered a Computer Problem that No One Can Ever Solve

Posted by in categories: mathematics, robotics/AI

Researchers working on machine learning have discovered a problem that no one, anywhere in the universe, will ever be able to solve.

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Jan 12, 2019

A Proof About Where Symmetries Can’t Exist

Posted by in category: mathematics

In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture.

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