Deep learning from a dynamical viewpoint
NUS mathematicians have developed a new theoretical framework based on dynamical systems to understand when and how a deep neural network can learn arbitrary relationships.
NUS mathematicians have developed a new theoretical framework based on dynamical systems to understand when and how a deep neural network can learn arbitrary relationships.
Mathematics
Sep 14, 2022
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17
A groundbreaking mathematical equation that could transform medical procedures, natural gas extraction, and plastic packaging production in the future has been discovered.
Mathematics
Sep 6, 2022
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2395
Scientists from the Graduate School of Systems and Information Engineering at the University of Tsukuba created a theoretical model for describing the motion of ultrasound waves in the presence of multiple bubbles. This work ...
General Physics
Jul 11, 2022
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5
A traditional paper crane is a feat of artistry. Every fold in origami leads to the transformation of a single square sheet of paper into a bird, a dragon, or a flower. Origami discourages gluing, marking or cutting the paper, ...
General Physics
Jun 28, 2022
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170
The announcement that the Laser Interferometer Gravitational-wave Observatory (LIGO) had detected gravitational waves during the merger of two black holes sent ripples throughout the scientific community in 2016. The earthshaking ...
General Physics
Nov 10, 2021
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162
In mathematics, simple equations can generate a complex evolution in time and intriguing patterns in space. One famous example of this is the Mandelbrot set, named after the French-American mathematician of Polish origin, ...
Mathematics
May 12, 2021
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12
Many bacteria swim towards nutrients by rotating the helix-shaped flagella attached to their bodies. As they move, the cells can either 'run' in a straight line, or 'tumble' by varying the rotational directions of their flagella, ...
Cell & Microbiology
Mar 17, 2021
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10
Wormholes play a key role in many science fiction films—often as a shortcut between two distant points in space. In physics, however, these tunnels in spacetime have remained purely hypothetical. An international team led ...
General Physics
Mar 9, 2021
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To provoke more interest and excitement for students and lecturers alike, a professor from Florida Atlantic University's College of Engineering and Computer Science is spicing up the study of complex differential mathematical ...
Mathematics
Feb 17, 2021
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114
On January 5, Rosa Winter will obtain her doctorate in arithmetic geometry. She researched solutions of equations that define so-called 'del Pezzo surfaces." "I like geometry because I can imagine and draw the shapes and ...
Mathematics
Jan 4, 2021
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10