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Category: mathematics – Page 148

Vision-free MIT Cheetah

MIT’s Cheetah 3 robot can now leap and gallop across rough terrain, climb a staircase littered with debris, and quickly recover its balance when suddenly yanked or shoved, all while essentially blind.

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The Massachusetts Institute of Technology is an independent, coeducational, privately endowed university in Cambridge, Massachusetts. Our mission is to advance knowledge; to educate students in science, engineering, and technology; and to tackle the most pressing problems facing the world today. We are a community of hands-on problem-solvers in love with fundamental science and eager to make the world a better place.
The MIT YouTube channel features videos about all types of MIT research, including the robot cheetah, LIGO, gravitational waves, mathematics, and bombardier beetles, as well as videos on origami, time capsules, and other aspects of life and culture on the MIT campus. Our goal is to open the doors of MIT and bring the Institute to the world through video.

Teaching evolutionary theory to artificial intelligence reveals cancer’s life history

Scientists have developed the most accurate computing method to date to reconstruct the patchwork of genetic faults within tumors and their history during disease development, in new research funded by Cancer Research UK and published in Nature Genetics.

Their powerful approach combines with the mathematical models of Charles Darwin’s theory of evolution to analyze genetic data more accurately than ever before, paving the way for a fundamental shift in how ’s genetic diversity is used to deliver tailored treatments to patients.

Applying these to DNA data taken from patient samples revealed that tumors had a simpler genetic structure than previously thought. The algorithms showed that tumors had fewer distinct subpopulations of cells, called “subclones,” than previously suggested. The scientists, based at The Institute of Cancer Research, London, and Queen Mary University of London, could also tell how old each subclone was and how fast it was growing.

Superluminal Motion-Assisted 4-Dimensional Light-in-Flight Imaging

Abstract: Advances in high speed imaging techniques have opened new possibilities for capturing ultrafast phenomena such as light propagation in air or through media. Capturing light-in-flight in 3-dimensional xyt-space has been reported based on various types of imaging systems, whereas reconstruction of light-in-flight information in the fourth dimension z has been a challenge. We demonstrate the first 4-dimensional light-in-flight imaging based on the observation of a superluminal motion captured by a new time-gated megapixel single-photon avalanche diode camera. A high resolution light-in-flight video is generated with no laser scanning, camera translation, interpolation, nor dark noise subtraction. A machine learning technique is applied to analyze the measured spatio-temporal data set. A theoretical formula is introduced to perform least-square regression, and extra-dimensional information is recovered without prior knowledge. The algorithm relies on the mathematical formulation equivalent to the superluminal motion in astrophysics, which is scaled by a factor of a quadrillionth. The reconstructed light-in-flight trajectory shows a good agreement with the actual geometry of the light path. Our approach could potentially provide novel functionalities to high speed imaging applications such as non-line-of-sight imaging and time-resolved optical tomography.

Mathematicians Solve Part of the Weirdest Open Problem Ever

Two mathematicians say they’ve untangled the first part of Paul Erdos’s famously thorny and unproven conjecture. In a new paper they’ve uploaded to arXiv and submitted to journals, mathematicians Thomas Bloom and Olof Sisask say they’ve jumped the first hurdle in the Erdos conjecture. If this is true, the next generation of researchers could start from that point with the first part finished and in hand.

➗ You love numbers. So do we. Let’s nerd out over numbers together.

From sociology of quantification to ethics of quantification

Quantifications are produced by several disciplinary houses in a myriad of different styles. The concerns about unethical use of algorithms, unintended consequences of metrics, as well as the warning about statistical and mathematical malpractices are all part of a general malaise, symptoms of our tight addiction to quantification. What problems are shared by all these instances of quantification? After reviewing existing concerns about different domains, the present perspective article illustrates the need and the urgency for an encompassing ethics of quantification. The difficulties to discipline the existing regime of numerification are addressed; obstacles and lock-ins are identified. Finally, indications for policies for different actors are suggested.

Gearing for the 20/20 Vision of Our Cybernetic Future — The Syntellect Hypothesis, Expanded Edition | Press Release

“A neuron in the human brain can never equate the human mind, but this analogy doesn’t hold true for a digital mind, by virtue of its mathematical structure, it may – through evolutionary progression and provided there are no insurmountable evolvability constraints – transcend to the higher-order Syntellect. A mind is a web of patterns fully integrated as a coherent intelligent system; it is a self-generating, self-reflective, self-governing network of sentient components… that evolves, as a rule, by propagating through dimensionality and ascension to ever-higher hierarchical levels of emergent complexity. In this book, the Syntellect emergence is hypothesized to be the next meta-system transition, developmental stage for the human mind – becoming one global mind – that would constitute the quintessence of the looming Cybernetic Singularity.” –Alex M. Vikoulov, The Syntellect Hypothesis https://www.ecstadelic.net/e_news/gearing-for-the-2020-visio…ss-release

#SyntellectHypothesis

Ecstadelic Media Group releases the new 2020 expanded edition of The Syntellect Hypothesis: Five Paradigms of the Mind’s Evolution by Alex M. Vikoulov as eBook and Paperback (Press Release, San Francisco, CA, USA, January 15, 2020 10.20 AM PST)

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Named “The Book of the Year” by futurists and academics alike in 2019 and maintaining high rankings in Amazon charts in Cybernetics, Physics of Time, Phenomenology, and Phenomenological Philosophy, it has now been released as The 2020 Expanded New Deluxe Edition (2020e) in eBook and paperback versions. In one volume, the author covers it all: from quantum physics to your experiential reality, from the Big Bang to the Omega Point, from the ‘flow state’ to psychedelics, from ‘Lucy’ to the looming Cybernetic Singularity, from natural algorithms to the operating system of your mind, from geo-engineering to nanotechnology, from anti-aging to immortality technologies, from oligopoly capitalism to Star-Trekonomics, from the Matrix to Universal Mind, from Homo sapiens to Holo syntellectus.

Continue reading “Gearing for the 20/20 Vision of Our Cybernetic Future — The Syntellect Hypothesis, Expanded Edition | Press Release” | >

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