7,166 research outputs found
Online Convex Optimization with Binary Constraints
We consider online optimization with binary decision variables and convex
loss functions. We design a new algorithm, binary online gradient descent
(bOGD) and bound its expected dynamic regret. We provide a regret bound that
holds for any time horizon and a specialized bound for finite time horizons.
First, we present the regret as the sum of the relaxed, continuous round
optimum tracking error and the rounding error of our update in which the former
asymptomatically decreases with time under certain conditions. Then, we derive
a finite-time bound that is sublinear in time and linear in the cumulative
variation of the relaxed, continuous round optima. We apply bOGD to demand
response with thermostatically controlled loads, in which binary constraints
model discrete on/off settings. We also model uncertainty and varying load
availability, which depend on temperature deadbands, lockout of cooling units
and manual overrides. We test the performance of bOGD in several simulations
based on demand response. The simulations corroborate that the use of
randomization in bOGD does not significantly degrade performance while making
the problem more tractable
Developments in Legal Education, Faculty of Law, Civil Law Section, University of Ottawa
The present Faculty of Law of the University of Ottawa was inaugurated in 1953, although law had been taught at the Institution from 1887 to shortly before the First World War. This first venture in the teaching of the law was addressed to students both from Ontario and Quebec and the objective of the Faculty, at that time, was to teach both legal systems and to prepare students for the practice of law in both provinces. We will endeavour to present the developments in legal education from the perspective of the Civil Law Section although, unavoidably, the presence of the Common Law Section has had a considerable influence on these developments. Most of what is distinctive and original in the University of Ottawa\u27s program depends precisely on the interrelationship between the two Sections and the programs which have been created as a result of this rather unique opportunity
Alien Registration- Landry, Paula A. (Lewiston, Androscoggin County)
https://digitalmaine.com/alien_docs/28692/thumbnail.jp
Phonon Band Structure and Thermal Transport Correlation in a Layered Diatomic Crystal
To elucidate the relationship between a crystal's structure, its thermal
conductivity, and its phonon dispersion characteristics, an analysis is
conducted on layered diatomic Lennard-Jones crystals with various mass ratios.
Lattice dynamics theory and molecular dynamics simulations are used to predict
the phonon dispersion curves and the thermal conductivity. The layered
structure generates directionally dependent thermal conductivities lower than
those predicted by density trends alone. The dispersion characteristics are
quantified using a set of novel band diagram metrics, which are used to assess
the contributions of acoustic phonons and optical phonons to the thermal
conductivity. The thermal conductivity increases as the extent of the acoustic
modes increases, and decreases as the extent of the stop bands increases. The
sensitivity of the thermal conductivity to the band diagram metrics is highest
at low temperatures, where there is less anharmonic scattering, indicating that
dispersion plays a more prominent role in thermal transport in that regime. We
propose that the dispersion metrics (i) provide an indirect measure of the
relative contributions of dispersion and anharmonic scattering to the thermal
transport, and (ii) uncouple the standard thermal conductivity
structure-property relation to that of structure-dispersion and
dispersion-property relations, providing opportunities for better understanding
of the underlying physical mechanisms and a potential tool for material design.Comment: 30 pages, 10 figure
Alien Registration- Landry, Marie A. (Auburn, Androscoggin County)
https://digitalmaine.com/alien_docs/31169/thumbnail.jp
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