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X-WR-CALNAME:Namur Institute For Complex Systems
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X-WR-CALDESC:Events for Namur Institute For Complex Systems
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DTSTART;TZID=Europe/Brussels:20240404T130000
DTEND;TZID=Europe/Brussels:20240404T140000
DTSTAMP:20260510T140304
CREATED:20231030T130708Z
LAST-MODIFIED:20240305T142426Z
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SUMMARY:Valentin Delchevalerie (UNamur)
DESCRIPTION:Title : SO(2) and O(2) Equivariance in Image Recognition with Bessel-Convolutional Neural Networks \nAbstract : For many years\, it has been shown how much exploiting equivariances can be beneficial when solving image analysis tasks. For example\, the superiority of convolutional neural networks (CNNs) compared to dense networks mainly comes from an elegant exploitation of the translation equivariance. Patterns can appear at arbitrary positions and convolutions take this into account to achieve translation invariant operations through weight sharing. Nevertheless\, images often involve other symmetries that can also be exploited. It is the case of rotations and reflections that have drawn particular attention and led to the development of multiple equivariant CNN architectures. Among all these methods\, Bessel-convolutional neural networks (B-CNNs) exploit a particular decomposition based on Bessel functions to modify the key operation between images and filters and make it by design equivariant to all the continuous set of planar rotations\, and also include the incorporation of reflection and multi-scale equivariances. \nMore information: https://arxiv.org/abs/2304.09214  https://proceedings.neurips.cc/paper/2021/hash/f18224a1adfb7b3dbff668c9b655a35a-Abstract.html \nThe seminar will take place in Room S08 at the Faculty of Sciences.
URL:https://www.naxys.be/event/valentin-delchevalerie-unamur/
CATEGORIES:NAXYS Seminar
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DTSTART;TZID=Europe/Brussels:20240415T130000
DTEND;TZID=Europe/Brussels:20240415T140000
DTSTAMP:20260510T140304
CREATED:20240304T135013Z
LAST-MODIFIED:20240321T095121Z
UID:2117-1713186000-1713189600@www.naxys.be
SUMMARY:Benoît Bonnet-Weill (CNRS)
DESCRIPTION:Title : A Set-Valued Approach to Koopman Operators for Control Systems\n \nAbstract : In this talk\, I will present a new approach that we recently put forth together with Milan Korda (LAAS-CNRS) to define and study the properties of Koopman operators for general nonlinear control systems\, based on the theory of set-valued analysis. In this framework\, the Koopman operators at some given time are defined as the multi-mappings which\, to a given function observable\, associate the collection of its evaluations along all possible flows of the control systems. \nStarting from this general construct\, we were able to obtain relevant set-valued counterparts of all the basic results of Koopman theory\, namely the existence of an infinitesimal generator\, whose dynamics precisely encodes a rich subclass of observables\, an adapted version of the spectral mapping theorem relating their respective point spectra\, and a characterisation of the dual (also known as Perron-Frobenius) semigroup as a family of time-dependent operators acting on measures. \nBesides its conceptual soundness\, our approach provides theoretical grounding for a class of practical methods used for solving control problems by leveraging the Koopman framework\, which revolve around the idea of bundling together the classical Koopman operators stemming from a collection of fixed control inputs. \nThe seminar will take place in Room S08 at the Faculty of Sciences.
URL:https://www.naxys.be/event/benoit-bonnet-weill-cnrs/
CATEGORIES:NAXYS Seminar
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DTSTART;TZID=Europe/Brussels:20240425T130000
DTEND;TZID=Europe/Brussels:20240425T140000
DTSTAMP:20260510T140304
CREATED:20240212T203641Z
LAST-MODIFIED:20240408T104821Z
UID:2106-1714050000-1714053600@www.naxys.be
SUMMARY:Jean-François de Kemmeter (UNamur)
DESCRIPTION:Title : Random walks on networks with limiting nodes carrying capacities \nAbstract : \nOver the last years\, network science has emerged as an efficient tool to model complex systems composed of numerous interconnected entities. In particular\, the interplay between network structure and dynamics on networks has long been recognized as a cornerstone of network science and is at the core of various applications such as community detection. Among those dynamical processes on networks\, random walks are ubiquitous stochastic processes that describe\, in their “standard” formulation\, the displacement of an entity that hops from node to node following at random the available connections. \nIn this talk\, we will focus on a class of random walks in which multiple random walkers travel across the network under the constraint of limiting nodes carrying capacities\, a feature of most real-life networks. We will discuss how the outcomes of the dynamics differ from the “standard” random walk and depend on the network structure. \nThis is based on joint work with Malbor Asllani and Timoteo Carletti. \nMore information: https://arxiv.org/abs/2112.02549 https://arxiv.org/abs/2307.14083 \nThe seminar will take place in Room S08 at the Faculty of Sciences.
URL:https://www.naxys.be/event/jean-francois-de-kemmeter-unamur/
CATEGORIES:NAXYS Seminar
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