3 resultados para Cliburn, Van, 1934-2013.
em CaltechTHESIS
Resumo:
For a toric Del Pezzo surface S, a new instance of mirror symmetry, said relative, is introduced and developed. On the A-model, this relative mirror symmetry conjecture concerns genus 0 relative Gromov-Witten of maximal tangency of S. These correspond, on the B-model, to relative periods of the mirror to S. Furthermore, for S not necessarily toric, two conjectures for BPS state counts are related. It is proven that the integrality of BPS state counts of the total space of the canonical bundle on S implies the integrality for the relative BPS state counts of S. Finally, a prediction of homological mirror symmetry for the open complement is explored. The B-model prediction is calculated in all cases and matches the known A-model computation for the projective plane.
Resumo:
Therapy employing epidural electrostimulation holds great potential for improving therapy for patients with spinal cord injury (SCI) (Harkema et al., 2011). Further promising results from combined therapies using electrostimulation have also been recently obtained (e.g., van den Brand et al., 2012). The devices being developed to deliver the stimulation are highly flexible, capable of delivering any individual stimulus among a combinatorially large set of stimuli (Gad et al., 2013). While this extreme flexibility is very useful for ensuring that the device can deliver an appropriate stimulus, the challenge of choosing good stimuli is quite substantial, even for expert human experimenters. To develop a fully implantable, autonomous device which can provide useful therapy, it is necessary to design an algorithmic method for choosing the stimulus parameters. Such a method can be used in a clinical setting, by caregivers who are not experts in the neurostimulator's use, and to allow the system to adapt autonomously between visits to the clinic. To create such an algorithm, this dissertation pursues the general class of active learning algorithms that includes Gaussian Process Upper Confidence Bound (GP-UCB, Srinivas et al., 2010), developing the Gaussian Process Batch Upper Confidence Bound (GP-BUCB, Desautels et al., 2012) and Gaussian Process Adaptive Upper Confidence Bound (GP-AUCB) algorithms. This dissertation develops new theoretical bounds for the performance of these and similar algorithms, empirically assesses these algorithms against a number of competitors in simulation, and applies a variant of the GP-BUCB algorithm in closed-loop to control SCI therapy via epidural electrostimulation in four live rats. The algorithm was tasked with maximizing the amplitude of evoked potentials in the rats' left tibialis anterior muscle. These experiments show that the algorithm is capable of directing these experiments sensibly, finding effective stimuli in all four animals. Further, in direct competition with an expert human experimenter, the algorithm produced superior performance in terms of average reward and comparable or superior performance in terms of maximum reward. These results indicate that variants of GP-BUCB may be suitable for autonomously directing SCI therapy.
Resumo:
I. Foehn winds of southern California.
An investigation of the hot, dry and dust laden winds
occurring in the late fall and early winter in the Los Angeles
Basin and attributed in the past to the influences of the desert
regions to the north revealed that these currents were of a
foehn nature. Their properties were found to be entirely due
to dynamical heating produced in the descent from the high level
areas in the interior to the lower Los Angeles Basin. Any dust
associated with the phenomenon was found to be acquired from the
Los Angeles area rather than transported from the desert. It was
found that the frequency of occurrence of a mild type foehn of this
nature during this season was sufficient to warrant its classification
as a winter monsoon. This results from the topography of
the Los Angeles region which allows an easy entrance to the air
from the interior by virtue of the low level mountain passes north
of the area. This monsoon provides the mild winter climate of
southern California since temperatures associated with the foehn
currents are far higher than those experienced when maritime air
from the adjacent Pacific Ocean occupies the region.
II. Foehn wind cyclo-genesis.
Intense anticyclones frequently build up over the high level
regions of the Great Basin and Columbia Plateau which lie between
the Sierra Nevada and Cascade Mountains to the west and the Rocky
Mountains to the east. The outflow from these anticyclones produce
extensive foehns east of the Rockies in the comparatively low
level areas of the middle west and the Canadian provinces of
Alberta and Saskatchewan. Normally at this season of the year very
cold polar continental air masses are present over this territory
and with the occurrence of these foehns marked discontinuity surfaces
arise between the warm foehn current, which is obliged to slide over
a colder mass, and the Pc air to the east. Cyclones are
easily produced from this phenomenon and take the form of unstable
waves which propagate along the discontinuity surface between the
two dissimilar masses. A continual series of such cyclones was
found to occur as long as the Great Basin anticyclone is maintained
with undiminished intensity.
III. Weather conditions associated with the Akron disaster.
This situation illustrates the speedy development and
propagation of young disturbances in the eastern United States
during the spring of the year under the influence of the conditionally
unstable tropical maritime air masses which characterise the
region. It also furnishes an excellent example of the superiority
of air mass and frontal methods of weather prediction for aircraft
operation over the older methods based upon pressure distribution.
IV. The Los Angeles storm of December 30, 1933 to January 1, 1934.
This discussion points out some of the fundamental interactions
occurring between air masses of the North Pacific Ocean in connection
with Pacific Coast storms and the value of topographic and
aerological considerations in predicting them. Estimates of rainfall
intensity and duration from analyses of this type may be made and
would prove very valuable in the Los Angeles area in connection with
flood control problems.