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UID:1036@cran.univ-lorraine.fr
DTSTART;TZID=Europe/Paris:20250703T094500
DTEND;TZID=Europe/Paris:20250703T104500
DTSTAMP:20250703T081015Z
URL:https://www.cran.univ-lorraine.fr/events/seminaire-de-vahid-shaverdi-k
 th-sweden/
SUMMARY:Séminaire de Vahid Shahverdi (KTH\, Sweden)
DESCRIPTION:Speaker: Vahid Shahverdi (KTH\, Sweden)\, https://sites.google
 .com/view/vahidshahverdi/\n\nTitle: Neuroalgebraic Geometry: An Algebraic 
 Perspective on Neural Networks\n\n\nAbstract:\nIn this talk\, I introduce 
 neuroalgebraic geometry: a unified algebraic-geometric framework for analy
 zing neural networks via polynomial activations. Our central object is the
  neuromanifold\, the function space realized by a network\, which forms a 
 semi-algebraic variety when activations are polynomial.\nI begin by explai
 ning how algebraic invariants\, particularly the dimension and degree of t
 he neuromanifold\, relate to fundamental learning properties such as expre
 ssivity and sample complexity. Then\, by analyzing both fully connected (M
 LP) and convolutional neural network (CNN) architectures\, we uncover a st
 riking phenomenon: training dynamics tend to concentrate near singular loc
 i of the neuromanifold\, revealing an implicit bias toward simpler or spar
 se solutions.\nFinally\, I discuss how the global geometry of neuromanifol
 ds\, captured by algebraic invariants\, influences the structure of the lo
 ss landscape. This perspective offers new insights into the optimization d
 ynamics and generalization behavior of neural networks.\n\nPlace: Seminar 
 room at 4th floor of the FST 1er cycle (Henri Poincaré) building\n\nAlso 
 available on Teams
CATEGORIES:Département BioSiS,Séminaires projet SiMul
LOCATION:CRAN - FST - 4ème\, Campus Sciences\, Boulevard des Aiguillettes\
 , Vandoeuvre-lès-Nancy\, 54506\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Campus Sciences\, Boulevard
  des Aiguillettes\, Vandoeuvre-lès-Nancy\, 54506\, France;X-APPLE-RADIUS=
 100;X-TITLE=CRAN - FST - 4ème:geo:0,0
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DTSTART:20250330T030000
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