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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rooted trees, Hopf algebras and rough paths
有根树 Hopf代数 粗路径
2023/11/15
In this talk, we first recall some classical Hopf algebras on rooted trees, including Connes-Kreimer Hopf algebra and Loday-Ronco Hopf algebra. Then we give a combinatorial description of the coproduc...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Peak distributions and peak maps in lattice paths
晶格路径 峰分布 峰图
2023/4/13
Dyck paths are classical Catalan objects. The peak distribution of Dyck paths is an important topic of combinatorics, and further the representation of symmetric groups.
Researchers discover two paths of aging, and new insights on promoting healthspan（图）
paths aging new insights promoting healthspan
2020/7/24
Molecular biologists and bioengineers at the University of California, San Diego have unraveled key mechanisms behind the mysteries of aging. They isolated two distinct paths that cells trav...
Generating Graphs Packed with Paths
Linear cryptanalysis Differential cryptanalysis Linear Approximations
2018/8/21
When designing a new symmetric-key primitive, the designer must show resistance to know attacks. Perhaps most prominent amongst these are linear and differential cryptanalysis. However, it is notoriou...
156 early career engineering researchers to journey to frontiers of their fields,chart new paths
156 early career engineering researchers frontiers of their fields chart new paths
2017/4/27
Today, 156 early career engineering faculty begin a five-year journey that will take them to the frontiers of fundamental engineering research.Supported by grants from the National Science Foundation'...
A MODIFIED GENETIC ALGORITHM FOR FINDING FUZZY SHORTEST PATHS IN UNCERTAIN NETWORKS
Genetic Algorithm Shortest Path Problem Uncertainty
2016/7/8
In realistic network analysis, there are several uncertainties in the measurements and computation of the arcs and vertices. These uncertainties should also be considered in realizing the shortest pat...
Quantum Superpositions and Causality:On the Multiple Paths to the Measurement Result
quantum superposition causality measurement problem
2016/6/12
The following analysis attempts to provide a general account of the multiple solutions given to the quantum measurement problem in terms of causality. Leaving aside instrumentalism which restricts its...
Giant Planets Carving Paths around Four Young Stars,ALMA Observations Suggest
Giant Planets Carving Paths Four Young Stars ALMA
2015/12/22
Astronomers using the Atacama Large Millimeter/submillimeter Array (ALMA) have found the clearest evidence yet that giant planets have recently formed around four young stars. These new worlds, each p...
MULTIFRACTAL PROPERTIES OF THE SETS OF ZEROES OF BROWNIAN PATHS
independent random variables Brownian motion local time Hausdor
2015/9/29
In this paper we study Brownian zeroes in the neighborhood of which one can observe non-typical growth
rate of Brownian excursions. We interprete the multifractal curve for the Brownian zeroes calcul...
Propagation of HF radio waves over northerly paths: measurements,simulation and systems aspects
radio waves measurements simulation
2015/9/14
Large deviations in the direction of arrival of ionospherically propagating radio signals from the Great Circle Path (GCP) have serious implications for the planning and operation of communications
a...
Two Paths to Isochronicity in a Class of One Degree of Freedom Oscillators
Two Paths Isochronicity Class Freedom Oscillators
2015/8/26
We propose a class of problems in nonlinear vibrations re-lated to avoiding undesirable hysteresis and jump phenomena by designingan oscillatorfor whichthe backbone curve is a straight vertical line.
Ionospheric perturbations associated with two huge earthquakes in Japan, using principal component analysis for multiple subionospheric VLF/LF propagation paths
Ionospheric perturbations Earthquakes Subionospheric VLF/LF propagation
2015/8/24
The presence of ionospheric perturbations in possible association with two huge earthquakes (Noto-hanto peninsula and Niigata-chuetu-oki earthquakes) in 2007 was studied on the basis of a conventional...
Regularization Paths for Cox’s Proportional Hazards Model via Coordinate Descent
survival Cox model lasso elastic net
2015/8/21
We introduce a pathwise algorithm for the Cox proportional hazards model, regularized by convex combinations of `1 and `2 penalties (elastic net). Our algorithm fits via cyclical coordinate descent, a...
A Method for Extracting Stream Channel Flow Paths from LiDAR Point Cloud Data
LiDAR Point Cloud Streams
2015/8/14
Traditional methods of delineating stream channel networks use gridded raster elevation data. Direct use of LiDAR point clouds, without first creating a raster or grid, could improve efficiency and ac...
HOW TO DECOMPOSE A PERMUTATION INTO A PAIR OF LABELED DYCK PATHS BY PLAYING A GAME
PERMUTATION LABELED DYCK PATHS PLAYING A GAME
2015/8/14
We give a bijection between permutations of 1, . . . , 2n and certain pairs of Dyck paths with labels on the down steps. The bijection arises from a game in which two players alternate selecting from ...