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AI for Chemical Design
By combining quantum chemistry with artificial intelligence (AI) or Machine Learning,
core participants of the long program, "Navigating Chemical Compound Space for Bio and
Materials Design", achieved a scientific breakthrough expected to aid in exploring
chemical compound space, i.e. the virtual space populated by all possible chemical
compounds.Full article
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GPS Algorithms
How accurate are GPS measurements? The answer to this question is important to GPS users and to operators of the GPS constellation, who use it to optimize the geometry of GPS satellites in the sky.Full article
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Multiscale representation of macromolecular motion
How many variables do we need to describe macromolecular motion? The answer depends on the time and length scale of interest.Full article
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The Fractal® acoustic barrier
The study of the vibrations in domains with boundaries or interfaces of irregular geometry is a complex mathematical problem, for which many questions are still unsolved. Full article
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Modeling Placental Growth
Early life influences adult diseases. Such serious public health priorities as diabetes, heart disease, breast and prostate cancer, osteoporosis, and depression have all been related by recent medical studies to the development of the fetus. Full article
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Compressed Sensing Algorithms
A breakthrough in the sparse representation of data was made in the Fall of 2004 by David Donoho and by Emmanuel Candes and Terence Tao, in part at IPAM’s “Multiscale Geometry and Analysis" program. Full article
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Dimensionality Reduction for Protein Folding
Twenty years ago, commenting on macromolecular dynamics, Francis Crick wrote that “what seems
to physicists a hopelessly complicated process may have been what Nature found simplest.” Full article
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Better Seismic Imaging
The economic value to the oil industry of 3D seismic imaging is approximately $11 billion annually.
How accurately seismic imaging can be done depends on both the quality of the sensing equipment, but
also very much on the effectiveness of the mathematical algorithms that are used. Full article
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Sparse Representations
What do researchers studying infrared spectroscopy, seismic imaging, error correcting codes, and MRI's
have in common? They all can get better results if they have the right math. Full article
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