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In approachability with full monitoring there are two types of conditions that are known to be equivalent for convex sets: a primal and a dual condition. The primal one is of the form: a set C is appr...
For the evaluation of information flow in bivariate time series, information measures have been employed, such as the transfer entropy (TE), the symbolic transfer entropy (STE), defined similarly to T...
Approachability has become a standard tool in analyzing learning algorithms in the adversarial online learning setup. We develop a variant of approachability for games where there is ambiguity in th...
We formulate a new class of stochastic partial differential equations (SPDEs), named high-order vector backward SPDEs (B-SPDEs) with jumps, which allow the high-order integral-partial differential o...
Partial-monitoring games constitute a mathematical framework for sequential decision making problems with imperfect feedback: The learner repeatedly chooses an action, opponent responds with an outcom...
The derivation of statistical properties for Partial Least Squares regression can be a challenging task. The reason is that the construction of latent compo- nents from the predictor variables also ...
We prove the statistical consistency of kernel Partial Least Squares Regression applied to a bounded regression learning problem on a re- producing kernel Hilbert space. Partial Least Squares stands...
Under an appropriate regular variation condition, the affinely normalized partial sums of a sequence of independent and identically dis- tributed random variables converges weakly to a non-Gaussian ...
We present a sequential Monte Carlo sampler variant of the partial rejection control algorithm, and show that this variant can be considered as a sequential Monte Carlo sampler with a modified mutat...
Weak convergence to the Brownian motion of the partial sums of infima of independent random variables。
On the rate of convergence to Brownian motion of the partial sums of infima of independent random variables。
This paper proposes the construction of a Bayesian specication test based on the encompassing principle for the case of partial observability of latent variables. A structural parametric model (null...
We study thc almost sure and moment srabilily of a claxs of srachnstic partial diflerential t?quations and we present an ioFmite4imansiond vesion of a theorem proved fix stochmastic ordinary diffcr...

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