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Some aspects of optimal quantization and applications to finance
This thesis is concerned with the study of optimal quantization and its applications. We deal with theoretical, algorithmic and numerical aspects. It is composed of... -
Communication of uncoded sensor measurements through nanoscale binary-node st...
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On-line apnea-bradycardia detection using hidden semi-Markov models.
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Traffic Assignment and Gibbs-Maslov Semirings
The Traffic Assignment problem consists in determining the routes used by sets of network users taking into account the link congestions. In deterministic modelling,... -
First order schemes in the numerical quantization method
The numerical quantization method (see [B.P.1, B.P.2, B.P.P.1]) is a grid method which relies on the approximation of the solution of a nonlinear problem (e.g.... -
Numerical methods for piecewise-deterministic Markov processes
Piecewise-deterministic Markov processes (PDMP's) have been introduced by M.H.A. Davis as a general class of non-diffusive stochastic models. PDMP's are hybrid Markov... -
HOSM control under quantization and saturation constraints: Zig-Zag design so...
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Stochastic control and applications to finance
This thesis contains three parts that can be read independently. In the first part, we study the resolution of stochastic control problems by quantization methods. The... -
Intrinsic stationarity for vector quantization: Foundation of dual quantization
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Practical Key Length of Watermarking Systems
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Handbook of Teichmüller theory, Volume III
The subject of this handbook is Teichmüller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes the... -
Dequantizing compressed sensing: When oversampling and non-gaussian constrain...
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Audio signal representations with overcomplete transforms for coding and inde...
This thesis investigates new signal representations for audio coding. Existing state-of-the-art audio coders are based either on a transform (transform coding), or on... -
Dequantizing compressed sensing with non-gaussian constraints
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Anisotropic oracle inequalities in noisy quantization
The effect of errors in variables in quantization is investigated. We prove general exact and non-exact oracle inequalities with fast rates for an empirical... -
The X-Alter algorithm : a parameter-free method to perform unsupervised clust...
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Robust Mesh Data Hiding Based on Irregular Wavelet Transform
International audience
