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Ph.D de |
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Ph.D
Group : Learning and Optimization
Around the Use of Gradients in Machine Learning
Starts on 01/09/2014
Advisor : OLLIVIER, Yann
Funding :
Affiliation : Université Paris-Saclay
Laboratory : LRI - AO
Defended on 14/12/2017, committee :
Directeur de thèse :
- Yann Ollivier, chercheur à Facebook
Rapporteurs :
- Sébastien Bubeck, chercheur à Microsoft
- Emmanuel Trélat, professeur à l'UPMC
Examinateur :
- Éric Moulines, professeur à l'École Polytechnique
Research activities :
Abstract :
The main result is a local convergence theorem for the classical dynamical system online optimisation algorithm called RTRL, in a non linear setting. The RTRL works on line, but must maintain in memory a huge amount of information, which makes it unfit to train even moderately large learning models. The NBT algorithm turns it by replacing these informations by a non biased, low dimension, random approximation. We also prove the convergence, with probability arbitrarily close to one, of this algorithm to the local optimum reached by the RTRL algorithm.
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Ph.D. dissertations & Faculty habilitations |
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CAUSAL LEARNING FOR DIAGNOSTIC SUPPORTCAUSAL UNCERTAINTY QUANTIFICATION UNDER PARTIAL KNOWLEDGE AND LOW DATA REGIMESMICRO VISUALIZATIONS: DESIGN AND ANALYSIS OF VISUALIZATIONS FOR SMALL DISPLAY SPACESThe topic of this habilitation is the study of very small data visualizations, micro visualizations, in display contexts that can only dedicate minimal rendering space for data representations. For several years, together with my collaborators, I have been studying human perception, interaction, and analysis with micro visualizations in multiple contexts. In this document I bring together three of my research streams related to micro visualizations: data glyphs, where my joint research focused on studying the perception of small-multiple micro visualizations, word-scale visualizations, where my joint research focused on small visualizations embedded in text-documents, and small mobile data visualizations for smartwatches or fitness trackers. I consider these types of small visualizations together under the umbrella term ``micro visualizations.'' Micro visualizations are useful in multiple visualization contexts and I have been working towards a better understanding of the complexities involved in designing and using micro visualizations. Here, I define the term micro visualization, summarize my own and other past research and design guidelines and outline several design spaces for different types of micro visualizations based on some of the work I was involved in since my PhD.
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