21 research outputs found
Effective Dimension in Bandit Problems under Censorship
In this paper, we study both multi-armed and contextual bandit problems in
censored environments. Our goal is to estimate the performance loss due to
censorship in the context of classical algorithms designed for uncensored
environments. Our main contributions include the introduction of a broad class
of censorship models and their analysis in terms of the effective dimension of
the problem -- a natural measure of its underlying statistical complexity and
main driver of the regret bound. In particular, the effective dimension allows
us to maintain the structure of the original problem at first order, while
embedding it in a bigger space, and thus naturally leads to results analogous
to uncensored settings. Our analysis involves a continuous generalization of
the Elliptical Potential Inequality, which we believe is of independent
interest. We also discover an interesting property of decision-making under
censorship: a transient phase during which initial misspecification of
censorship is self-corrected at an extra cost, followed by a stationary phase
that reflects the inherent slowdown of learning governed by the effective
dimension. Our results are useful for applications of sequential
decision-making models where the feedback received depends on strategic
uncertainty (e.g., agents' willingness to follow a recommendation) and/or
random uncertainty (e.g., loss or delay in arrival of information).Comment: 45 pages, 5 figures, NeurIPS 202
Coulomb chronometry to probe the decay mechanism of hot nuclei
In 129 Xe+ nat Sn central collisions from 8 to 25 MeV/A, the three-fragment
exit channel occurs with a significant cross section. We show that these
fragments arise from two successive binary splittings of a heavy composite
system. The sequence of fragment production is determined. Strong Coulomb
proximity effects are observed in the three-fragment final state. A comparison
with Coulomb trajec-tory calculations shows that the time scale between the
consecutive break-ups decreases with increasing bombarding energy, becoming
quasi-simultaneous above excitation energy E * = 4.00.5 MeV/A. This
transition from sequential to simultaneous break-up was interpreted as the
signature of the onset of multifragmentation for the three-fragment exit
channel in this system.Comment: 12 pages; 13 Figures; 4 Table; Accepted for publication in Physical
Review
Bandit Problems under Censored Feedback
In this thesis, we study sequential decision-making models where the feedback received by the principal depends on strategic uncertainty (e.g., agents’ willingness to follow a recommendation) and/or random uncertainty (e.g., loss or delay in arrival of information). Such challenges often arise in AI-driven platforms, with applications in recommender systems, revenue management or transportation. We model and study this class of problems through the lens of multi-armed and contextual bandits evolving in censored environments. Our goal is to estimate the performance loss due to censorship in the context of classical algorithms designed for uncensored environments. Our main contributions include the introduction of a broad class of censorship models and their analysis in terms of the effective dimension of the problem – a natural measure of its underlying statistical complexity and main driver of the regret bound. In particular, the effective dimension allows us to maintain the structure of the original problem at first order, while embedding it in a bigger space, and thus naturally leads to results analogous to uncensored settings. Our analysis involves a continuous generalization of the Elliptical Potential Inequality, which we believe is of independent interest. We also discover an interesting property of decision-making under censorship: a transient phase during which initial misspecification of censorship is self-corrected at an extra cost; followed by a stationary phase that reflects the inherent slowdown of learning governed by the effective dimension.S.M
Quasiprojectile and intermediate velocity isotopic ratios for light fragments emitted in the Ar 36 +Ni 58 and Ni 58 +Ni 58 reactions between 32A and 84A MeV
Expérience GANILIsotopic ratios for light fragments (Z≤4 ) emitted by the quasiprojectile (QP) and the mid-rapidity (MR) sources are investigated by the use of a slightly asymmetric system (Ar 36 +Ni 58 ) and a symmetric one (Ni 58 +Ni 58 ) for six energies between 32A and 84A MeV and three semiperipheral centrality range selections. Experimental data come from the INDRA 4π multidetector. The results show a clear neutron-rich isotope production from the MR region as compared to the QP source. The beam energy and the centrality also show interesting different trends depending on the charge of the fragments and the emission source. Experimental results are compared to antisymmetrized molecular dynamics simulations