6 papers
Predictive multiview embedding
M. LuValle
Multiview embedding is a way to model strange attractors that takes advantage of the way measurements are often made in real chaotic systems, using multidimensional measurements to…
Statistical inference for Axiom A attractors
Michael LuValle
From the climate system to the effect of the internet on society, chaotic systems appear to have a significant role in our future. Here a method of statistical learning for a class…
Asymptotically consistent prediction of extremes in chaotic systems:1 stationary case
Michael LuValle
In many real world chaotic systems, the interest is typically in determining when the system will behave in an extreme manner. Flooding and drought, extreme heatwaves, large earthq…
Statistical Failure Mechanism Analysis of Earthquakes Revealing Time Relationships
Parsa Rastin, Michael LuValle
If we assume that earthquakes are chaotic, and influenced locally then chaos theory suggests that there should be a temporal association between earthquakes in a local region that…
A simple statistical approach to prediction in open high dimensional chaotic systems
M. LuValle
Two recent papers on prediction of chaotic systems, one on multi-view embedding1 , and the second on prediction in projection2 provide empirical evidence to support particular pred…
A note on linear prediction of large chaotic systems
M. LuValle
Reliable prediction of large chaotic sytems in the short to middle time range is of interest in a number of fields, including climate, ecology, seismology, and economics. In this p…