Concept
Independence (probability theory)
Related publications (61)
Synthetic Generation of Activity-related data
The field of synthetic data is more and more present in our everyday life. The transportation domain is particularly interested in improving the methods for the generation of synthetic data in order to address the privacy and availability issue of real dat ...
2023The Gray-Wyner Network and Wyner's Common Information for Gaussian Sources
Michael Christoph Gastpar, Erixhen Sula
This paper presents explicit solutions for two related non-convex information extremization problems due to Gray and Wyner in the Gaussian case. The first problem is the Gray-Wyner network subject to a sum-rate constraint on the two private links. Here, ou ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022Dynamical low rank approximation for uncertainty quantification of time-dependent problems
The quantification of uncertainties can be particularly challenging for problems requiring long-time integration as the structure of the random solution might considerably change over time. In this respect, dynamical low-rank approximation (DLRA) is very a ...
EPFL2022Hiding in Plain Sight: The Issue of Hidden Variables
Here we discuss "hidden variables", which are typically introduced during an experiment as a consequence of the application of two independent variables together to create a stimulus. With increased sophistication in modern chemical biology tools and relat ...
AMER CHEMICAL SOC2022Tests of mutual independence among several random vectors using univariate and multivariate ranks of nearest neighbours
Testing mutual independence among several random vectors of arbitrary dimensions is a challenging problem in Statistics, and it has gained considerable interest in recent years. In this article, we propose some nonparametric tests based on different notion ...
TAYLOR & FRANCIS LTD2021A Covariance Formula For Topological Events Of Smooth Gaussian Fields
We derive a covariance formula for the class of 'topological events' of smooth Gaussian fields on manifolds; these are events that depend only on the topology of the level sets of the field, for example, (i) crossing events for level or excursion sets, (ii ...
INST MATHEMATICAL STATISTICS2020Characterization of myelodysplastic syndromes progressing to acute lymphoblastic leukemia
Filipe Amândio Brandão Sanches Vong Martins
Myelodysplastic syndromes (MDS) are a heterogeneous group of diseases, with a variable probability of transformation into acute leukemia, which is, in the vast majority of cases, of myeloid lineage. Nevertheless, rare cases of acute lymphoblastic leukemia ...
SPRINGER2020On quantifying the quality of acoustic models in hybrid DNN-HMM ASR
Hervé Bourlard, Afsaneh Asaei, Pranay Dighe
We propose an information theoretic framework for quantitative assessment of acoustic models used in hidden Markov model (HMM) based automatic speech recognition (ASR). The HMM backend expects that (i) the acoustic model yields accurate state conditional e ...
ELSEVIER2020On some consistent tests of mutual independence among several random vectors of arbitrary dimensions
Testing for mutual independence among several random vectors is a challenging problem, and in recent years, it has gained significant attention in statistics and machine learning literature. Most of the existing tests of independence deal with only two ran ...
SPRINGER2020MATHICSE Technical Report: A posteriori error estimation for the stochastic collocation finite element approximation of the heat equation with random coefficients
In this work we present a residual based a posteriori error estimation for a heat equation with a random forcing term and a random diffusion coefficient which is assumed to depend affinely on a finite number of independent random variables. The problem is ...
MATHICSE2019