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DTSTART:20191103T020000
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DTSTART:20190310T020000
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BEGIN:VEVENT
UID:calendar.1096.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20190821T013827Z
CREATED:20190816T123449Z
DESCRIPTION:MC 6460\n\n\n\n\n\nSpeaker\n\n\n\nAndersen (Man Shun) Ang | Uni
versity of Mons\, Belgium\n\nTitle\n\n\n\nNon-negative Matrix Factorizatio
n: Applications\, Theory and Computations\n\n Abstract\n\n\n\nGiven a non-
negative matrix M\, the goal of Non-negative Matrix Factorization (NMF) is
to decompose M into two (smaller) matrices U and V such that their produc
t fits M under some distance function. This talk gives a high-level genera
l overview of what is happening in NMF across three topics: applications\,
theory and computation.\n\n\n\nDue to the non-negativity\, the decomposed
factors of NMF enjoy a higher interpretability than the factors obtained
by other methods\, hence NMF finds many applications in machine learning a
nd other areas. The first part of the talk will be on NMF in various appli
cation scenarios. Despite the success of NMF in many applications\, the NM
F model itself is an ill-posed\, underdetermined problem. So different new
NMF formulations have been proposed in the past decade. \n\n\n\nThe secon
d part of this talk discusses what is going on with NMF in this direction:
from the classical separability condition\, to the sufficiently scattered
condition\, the minimum volume criterion\, and the generalized separabili
ty. \n\n\n\nFinally\, the third part of this talk focuses on computational
issues for NMF. In particular\, an extrapolated block coordinate descent
framework called Heuristic Extrapolation with Restarts (HER) will be intro
duced. Applying HER to Non-negative Tensor Factorization will also be disc
ussed.
DTSTART;TZID=America/Toronto:20190820T143000
DTEND;TZID=America/Toronto:20190820T143000
LAST-MODIFIED:20190816T123513Z
SUMMARY:Applied Math Seminar | Andersen (Man Shun) Ang\, Non-negative Matri
x Factorization: Applications\, Theory and Computations
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/applied-math-s
eminar-andersen-man-shun-ang-non-negative
END:VEVENT
BEGIN:VEVENT
UID:calendar.1091.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20190821T013827Z
CREATED:20190808T200431Z
DESCRIPTION:MC 6460\n\n\n\n\n\nSpeaker\n\n\n\nPeter Kloeden | Universitat
Tubingen\, Germany\n\nTitle\n\n\n\nRandom ordinary differential equations
and their numerical approximation\n\n Abstract\n\n\n\nRandom ordinary diff
erential equations (RODEs) are pathwise ordinary differential equations t
hat contain a stochastic process in their vector field functions. They
have been used for many years in a wide range of applications\, but have
been very much overshadowed by stochastic ordinary differential equation
s (SODEs). The stochastic process could be a fractional Brownian motion o
r a Poisson process\, but when it is a diffusion process then there is a
close connection between RODEs and SODEs through the Doss-Sussmann transf
ormation and its generalisations\, which relate a RODE and an SODE with
the same (transformed) solutions. RODEs play an important role in the the
ory of random dynamical systems and random attractors. \n Classical numeri
cal schemes such as Runge-Kutta schemes can be used for RODEs but do not
achieve their usual high order since the vector field does not inherit e
nough smoothness in time from the driving process. It will be shown how\,
nevertheless\, various kinds of Taylor-like expansions of the solutions
of RODES can be obtained when the stochastic process has Hölder continuo
us or even measurable sample paths and then used to derive pathwise conv
ergent numerical schemes of arbitrarily high order. The use of bounded noi
se and an application in biology will be considered.
DTSTART;TZID=America/Toronto:20190822T143000
DTEND;TZID=America/Toronto:20190822T143000
LAST-MODIFIED:20190808T200458Z
SUMMARY:Applied Math Seminar | Peter Kloeden\, Random ordinary differential
equations and their numerical approximation
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/applied-math-s
eminar-peter-kloeden-random-ordinary
END:VEVENT
BEGIN:VEVENT
UID:calendar.1088.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20190821T013827Z
CREATED:20190724T132614Z
DESCRIPTION:MC 6460\n\n\n\n\n\nCandidate\n\n\n\nJanelle Resch | Applied Mat
h\, University of Waterloo\n\nTitle\n\n\n\nPhysical Modeling and the Assoc
iated Acoustic Behavior of Trumpet and Trombones\n\nAbstract\n\n\n\nAccura
tely modelling the production of realistic musical notes in brass instrume
nts is no easy task. Compared to woodwind instruments\, brass instruments
are considerably longer and constructed with bends\, valves or coils\, a m
outhpiece with a cup rather than a reed or double-reed\, as well as a larg
e flare. Mathematically\, this means that the sound wave propagation throu
gh the instrument could exhibit various nonlinear behaviours that are not
examined within the field of linear acoustics. In this thesis\, we attempt
to accurately model the timbre of musical notes produced on the trumpet a
nd trombone and study the associated acoustic behaviours of both instrumen
ts. To accomplish this\, we investigate the relevance of the interaction b
etween the player and instrument to ensure the problem is computationally
reasonable\, as we need to decipher what aspects and parameters can be neg
lected\, and which are essential to consider. This was done through a seri
es of physical experiments and numerical studies\, which also provided ver
ification of previous claims and findings published in the literature. Ult
imately\, we determined there are factors more essential to incorporate ov
er modelling vibroacoustic and thermoviscous effects. We therefore focus o
n these components and model the nonlinear wave propagation through the in
struments in the time-domain using the compressible Euler equations\, and
numerically solve the system via the discontinuous Galerkin method. Severa
l musical notes played at various dynamic levels are simulated. The numeri
cal solutions are compared against the measured data to evaluate how well
the timbre of the different musical tones can be recreated. Although sever
al simplifying assumptions were made\, we found that our model produces th
e most accurate results compared to previous findings. Furthermore\, to ou
r knowledge\, we are the first to numerically reproduce (from real data) t
he production of shock waves in the trombone\, thereby theoretically and n
umerically verifying the experimental work published by Hirschberg et al.
in 1995 (https://doi.org/10.1121/1.414698).
DTSTART;TZID=America/Toronto:20190906T130000
DTEND;TZID=America/Toronto:20190906T130000
LAST-MODIFIED:20190802T151934Z
SUMMARY:PhD Thesis Defence | Janelle Resch\, Physical Modeling and the Asso
ciated Acoustic Behavior of Trumpet and Trombones
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/phd-thesis-def
ence-janelle-resch-physical-modeling-and
END:VEVENT
BEGIN:VEVENT
UID:calendar.1093.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20190821T013827Z
CREATED:20190808T201656Z
DESCRIPTION:MC 6460\n\nSpeaker\n\n\n\nBahman Gharesifard | Queen's Universi
ty \n\nTitle\n\n\n\nFundamental Limits in Control and Optimization of Netw
orked Systems\n\n Abstract\n\n\n\nThe emergence of network sciences within
the disciplines of engineering\, biological\, and social systems has reve
al numerous opportunities for sensing and feedback. This development\, tog
ether with the availability of an abundance of useful data\, has provided
capabilities that allow for the execution of remarkably complex tasks\, wh
ich cannot be handled by individual systems. I will provide an overview of
some of the recent advancements on control and optimization of large-scal
e networked systems\, mathematically modelled as dynamical systems with ex
ternal inputs over graphs. The talk will focus on fundamental limits to de
centralization\; I will show graph-theoretic conditions that decentralizat
ion imposes on the controllability and stabilization of sparse systems\, a
s well as a class of submodoular optimization problems. One key objective
throughout the talk is to showcase the versatile set of mathematical tools
that naturally enter the study of networked systems.
DTSTART;TZID=America/Toronto:20190910T143000
DTEND;TZID=America/Toronto:20190910T143000
LAST-MODIFIED:20190819T124404Z
SUMMARY:Applied Math Seminar | Bahman Gharesifard\, Fundamental Limits in C
ontrol and Optimization of Networked Systems
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/applied-math-s
eminar-bahman-gharesifard-fundamental-limits
END:VEVENT
BEGIN:VEVENT
UID:calendar.1100.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20190821T013827Z
CREATED:20190819T171713Z
DESCRIPTION:MC 6460\n\n\n\n\n\nCandidate\n\n\n\nAbdulmajid Osumanu | Applie
d Math\, University of Waterloo\n\nTitle\n\n\n\nFrom Gravity to Hopf Algeb
ra Lattice Models\n\nAbstract\n\n\n\nThis thesis addresses three different
problems related to quantum gravity. In the first problem we will discuss
the two natural ways to encode gravity through geometric structures. One
is the much acclaimed Einstein’s general relativity and the other is telep
arallel gravity\, where torsion as opposed to curvature encodes the dynami
cs of gravitational degrees of freedom. We will show that the Einstein–Car
tan action\, the general relativity first-order formulation\, can also be
seen as the first-order formulation of teleparallel gravity.\n\n\n\nWe the
n discuss how the discretization of the Einstein-Cartan action in three di
mensional spacetime affects the equivalence of these two formulations. We
investigate then how one can derive the quantum group structure in loop qu
antum gravity with a non-zero cosmological constant from the continuum act
ion. It is well known that the cosmological constant implies a quantum gro
up deformation of internal gauge group at the quantum level\, but it is us
ually introduced by hand. We show for the first time that we can derive th
is q-deformation from the 3d gravity action using the discretization schem
e already discussed above. The key element is to find the right set of var
iables to discretize. The discretized symplectic form is then the one for
the Heisenberg double which upon quantization generates the quantum group
structure. This allows to see 3d loop quantum gravity (with topological de
fects) as a specific Hopf algebras lattice theory.\n\n\n\nThe last part of
the thesis studies Hopf algebras lattice models\, defined as representati
ons for certain quantum groups. We propose a set of requirements for these
models which should allow to generalize the construction to different typ
es of quantum groups. We show how the Kitaev’s quantum double model satisf
ies such requirements. We then propose a new version of the Kitaev model b
ased on Majid’s bicrossproduct quantum group. The construction of this new
model is relatively natural as it relies on the use of the covariant Hopf
algebra actions. We obtain an exactly solvable Hamiltonian for the model
and provide a definition of the ground state in terms of a tensor network
representation. Finally\, we discuss how Kitaev’s quantum double model and
its dual version can be related to the two formulations of gravity.
DTSTART;TZID=America/Toronto:20190912T133000
DTEND;TZID=America/Toronto:20190912T133000
LAST-MODIFIED:20190819T171933Z
SUMMARY:PhD Thesis Defence | Abdulmajid Osumanu\, From Gravity to Hopf Alge
bra Lattice Models
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/phd-thesis-def
ence-abdulmajid-osumanu-gravity-hopf-algebra
END:VEVENT
BEGIN:VEVENT
UID:calendar.1094.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20190821T013827Z
CREATED:20190808T201925Z
DESCRIPTION:MC 5501\n\n\n\n\n\nSpeaker\n\n\n\nLai-Sang Young | \n\nTitle\n
\n\n\nTBA\n\n Abstract\n\n\n\nTBA
DTSTART;TZID=America/Toronto:20191016T143000
DTEND;TZID=America/Toronto:20191016T143000
LAST-MODIFIED:20190816T131402Z
SUMMARY:Applied Math Distinguished Lecture | Lai-Sang Young
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/applied-math-d
istinguished-lecture-lai-sang-young
END:VEVENT
BEGIN:VEVENT
UID:calendar.1099.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20190821T013827Z
CREATED:20190819T165156Z
DESCRIPTION:MC 6460\n\n\n\n \n\nSpeaker\n\n\n\nKevin Lamb | University of
Waterloo\n\nTitle\n\n\n\nTBA\n\nAbstract
DTSTART;TZID=America/Toronto:20191024T143000
DTEND;TZID=America/Toronto:20191024T143000
LAST-MODIFIED:20190819T165200Z
SUMMARY:Applied Math Seminar | Kevin Lamb
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/applied-math-s
eminar-kevin-lamb
END:VEVENT
BEGIN:VEVENT
UID:calendar.1092.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20190821T013827Z
CREATED:20190808T201214Z
DESCRIPTION:MC 6460\n\n\n\nSpeaker\n\n\n\nChristopher Bergevin | \n\nTitle
\n\n\n\nTBA\n\n Abstract\n\n\n\nTBA
DTSTART;TZID=America/Toronto:20191114T143000
DTEND;TZID=America/Toronto:20191114T143000
LAST-MODIFIED:20190808T201218Z
SUMMARY:Applied Math Seminar | Christopher Bergevin
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/applied-math-s
eminar-christopher-bergevin
END:VEVENT
BEGIN:VEVENT
UID:calendar.1097.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20190821T013827Z
CREATED:20190819T164304Z
DESCRIPTION:MC 5501\n\n\n\n\n\n Speaker\n\n\n\nAnnick Pouquet | Laboratory
for Atmospheric and Space Physics\, CU Boulder\, and National Center for A
tmospheric Research\n\nTitle\n\n\n\nTBA\n\nAbstract
DTSTART;TZID=America/Toronto:20191205T143000
DTEND;TZID=America/Toronto:20191205T143000
LAST-MODIFIED:20190819T164806Z
SUMMARY:Applied Math Colloquium I Annick Pouquet
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/applied-math-c
olloquium-i-annick-pouquet
END:VEVENT
BEGIN:VEVENT
UID:calendar.1098.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20190821T013827Z
CREATED:20190819T164603Z
DESCRIPTION:MC 5501\n\nSpeaker\n\n\n\nDavid Hu | School of Mechanical Engin
eering\, Georgia Institute of Technology\n\nTitle\n\n\n\nTBA\n\nAbstract
DTSTART;TZID=America/Toronto:20200319T143000
DTEND;TZID=America/Toronto:20200319T143000
LAST-MODIFIED:20190819T164724Z
SUMMARY:Applied Math Colloquium I David Hu
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/applied-math-c
olloquium-i-david-hu
END:VEVENT
END:VCALENDAR