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
0
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
5
2395
How many intelligent civilizations should there be in our galaxy right now? In 1961, U.S. astrophysicist Frank Drake, who passed away on September 2 at the age of 92, came up with an equation to estimate this. The Drake ...
Space Exploration
Sep 6, 2022
7
29
For about a decade now, mathematicians and mathematics educators have been weighing in on a particular debate rooted in school mathematics that shows no signs of abating.
Mathematics
Aug 29, 2022
2
16
A new analysis of seismic data from NASA's Mars InSight mission has revealed a couple of surprises.
Planetary Sciences
Aug 11, 2022
12
7879
New large-scale research led by the University of Leicester shows that winning does not cause people to cheat, in stark contrast to a previous high-profile study.
Social Sciences
Aug 2, 2022
0
145
Every biological process depends critically on temperature. It's true of the very small, the very large, and every scale in between, from molecules to ecosystems and across every environment.
Ecology
Jul 19, 2022
0
397
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
0
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
0
170
A team of researchers from the University of Shanghai for Science and Technology and the University of Dayton has developed a way to bend light into a vortex ring using mirrors, lasers and lenses. In their study, published ...