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start [2018/02/02 13:06]
guilherme [Short summary]
start [2018/06/20 08:57] (current)
guilherme
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-====== Geometry, imaGes, learninG and alGorithms ======+====== Geometry, imaGes, learninGand alGorithms ======
  
 The research group **Geometry, imaGes, learninG and alGorithms** (G4) is a member of the [[http://​limos.isima.fr/​spip.php?​article9|Decision Support Models and Algorithms (MAAD)]] group. We are all part of the [[http://​limos.isima.fr/​spip.php?​article7|LIMOS lab]], in the Cézeaux campus of [[http://​uca.fr|Université Clermont Auvergne]], near Clermont Ferrand, France. The research group **Geometry, imaGes, learninG and alGorithms** (G4) is a member of the [[http://​limos.isima.fr/​spip.php?​article9|Decision Support Models and Algorithms (MAAD)]] group. We are all part of the [[http://​limos.isima.fr/​spip.php?​article7|LIMOS lab]], in the Cézeaux campus of [[http://​uca.fr|Université Clermont Auvergne]], near Clermont Ferrand, France.
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 ====== Short summary ====== ====== Short summary ======
-The research topics of this group are centered on n-dimensional data modeling and analysis, from both methodology and application points of view. The team's interdisciplinary skills result in projects that cover a wide range of scientific topics ​combining Computer Science, ​Geometry, Data Mining, Machine Learning, Data Structures, and multiple ​application ​domains.+The research topics of this group are centered on n-dimensional data modeling and analysis, from both methodology and application points of view. The team's interdisciplinary skills result in projects that cover a wide range of scientific topics ​including ​Geometry, Data Mining, Machine Learning, Data Structures, and their interactions for several fields of application.
  
-Our research ​subjects include+For a brief description of our main research ​areas, we mention
  
-  * **Machine ​Learning**: We address several ​ aspects of machine learning, from the design of kernel methods to manifold learning and deep learning. Current research include modeling and simulation of spatio-temporal variations and dynamics using manifolds, understanding of the GANs approaches and their link to Optimal Transport, Siamese network for multimodal learning and autoencoders or solving multiclass SVM at the cost of a binary one, and dealing with indefinite kernels or large datasets.+  * **Machine ​learning**: We address several ​ aspects of machine learning, from the design of kernel methods to manifold learning and deep learning. Current research include modeling and simulation of spatio-temporal variations and dynamics using manifolds, understanding of the GANs approaches and their link to Optimal Transport, Siamese network for multimodal learning and autoencoders or solving multiclass SVM at the cost of a binary one, and dealing with indefinite kernels or large datasets.
  
   * **Clustering methods**: We study fuzzy clustering algorithms, or  semi-supervised clustering, also referred to as constrained clustering. Such methods use background knowledge in order to improve the accuracy of the solution.   * **Clustering methods**: We study fuzzy clustering algorithms, or  semi-supervised clustering, also referred to as constrained clustering. Such methods use background knowledge in order to improve the accuracy of the solution.
  
-  * **Digital ​Geometry**: The field is closely related to many other topics such as geometry of numbers, computational geometry, discrete geometry, and combinatorics. We are especially interested in questions of separability from a lattice set and its complement, as well as the recognition of digital polytopes.+  * **Digital ​geometry**: The field is closely related to many other topics such as geometry of numbers, computational geometry, discrete geometry, and combinatorics. We are especially interested in questions of separability from a lattice set and its complement, as well as the recognition of digital polytopes.
  
-  * **Geometric ​Approximation**: We resort to approximations to solve geometric problems that would be intractable otherwise. We can either approximate distances (e.g., approximate nearest neighbor searching) or the size of the solution (e.g., maximum independent set of a unit disk graph).+  * **Geometric ​approximation**: We resort to approximations to solve geometric problems that would be intractable otherwise. We can either approximate distances (e.g., approximate nearest neighbor searching) or the size of the solution (e.g., maximum independent set of a unit disk graph).
  
   * **Computational geometry**: We design algorithms and data structures for numerous geometric problems related to range searching, geometric graphs, and several other topics. We analyze that asymptotic complexity of these algorithms and also prove lower bounds for the complexity of the problems.   * **Computational geometry**: We design algorithms and data structures for numerous geometric problems related to range searching, geometric graphs, and several other topics. We analyze that asymptotic complexity of these algorithms and also prove lower bounds for the complexity of the problems.
  
-  * **Image and Video Processing**, addressed from both methodological (definition of image analysis methods in n dimension) and application points of view (tracking of ballistics in thermal videos of volcanoes, design of computer assisted maps  for visually impaired people,​...).+  * **Image and video processing**: We address ​both the methodological (definition of image analysis methods in n dimension) and the  ​application points of view (tracking of ballistics in thermal videos of volcanoes, design of computer assisted maps for visually impaired people, ...). 
 + 
 +National collaborations include: LITIS (Rouen), LMV (Clermont-Ferrand),​ INRIA Sophia-Antipolis,​ Creatis (Lyon), IMT (Toulouse), LIFL (Lille) and IGN (Paris).
  
-Some domestic partners are LITIS (Rouen), LMV (Clermont-Ferrand),​ INRIA (Sophia-Antipolis),​ and Creatis (Lyon). 
 International collaborations include: International collaborations include:
  
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   * Hong Kong: Hong Kong University of Science and Technology   * Hong Kong: Hong Kong University of Science and Technology
   * Norway: University of Bergen   * Norway: University of Bergen
-  * USA: University of California Los Angeles, Florida State University, ​Oregon ​State University, Rice University, and University of Maryland+  * USA: University of California Los Angeles, Florida State University, ​Ohio State University, Rice University, and University of Maryland
  
 ===== News ===== ===== News =====