source stringlengths 175 744k | summary stringlengths 0 57.2k | source_num_tokens int64 51 379k | summary_num_tokens int64 1 17.6k |
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additive models @xcite provide an important family of models for semiparametric regression or classification . some reasons for the success of additive models are their increased flexibility when compared to linear or generalized linear models and their increased interpretability when compared to fully nonparametric mo... | additive models play an important role in semiparametric statistics .
this paper gives learning rates for regularized kernel based methods for additive models .
these learning rates compare favourably in particular in high dimensions to recent results on optimal learning rates for purely nonparametric regularized k... | 8,068 | 201 |
the leptonic decays of a charged pseudoscalar meson @xmath7 are processes of the type @xmath8 , where @xmath9 , @xmath10 , or @xmath11 . because no strong interactions are present in the leptonic final state @xmath12 , such decays provide a clean way to probe the complex , strong interactions that bind the quark and an... | we have studied the leptonic decay @xmath0 , via the decay channel @xmath1 , using a sample of tagged @xmath2 decays collected near the @xmath3 peak production energy in @xmath4 collisions with the cleo - c detector .
we obtain @xmath5 and determine the decay constant @xmath6 mev , where the first uncertainties are ... | 5,639 | 106 |
the transport properties of nonlinear non - equilibrium dynamical systems are far from well - understood@xcite . consider in particular so - called ratchet systems which are asymmetric periodic potentials where an ensemble of particles experience directed transport@xcite . the origins of the interest in this lie in con... | in 84 , 258 ( 2000 ) , mateos conjectured that current reversal in a classical deterministic ratchet is associated with bifurcations from chaotic to periodic regimes .
this is based on the comparison of the current and the bifurcation diagram as a function of a given parameter for a periodic asymmetric potential .
... | 7,929 | 377 |
studies of laser beams propagating through turbulent atmospheres are important for many applications such as remote sensing , tracking , and long - distance optical communications . howerver , fully coherent laser beams are very sensitive to fluctuations of the atmospheric refractive index . the initially coherent lase... | the effect of a random phase diffuser on fluctuations of laser light ( scintillations ) is studied .
not only spatial but also temporal phase variations introduced by the phase diffuser are analyzed .
the explicit dependence of the scintillation index on finite - time phase variations is obtained for long propagati... | 6,292 | 116 |
the so - called `` nucleon spin crisis '' raised by the european muon collaboration ( emc ) measurement in 1988 is one of the most outstanding findings in the field of hadron physics @xcite,@xcite . the renaissance of the physics of high energy deep inelastic scatterings is greatly indebted to this epoch - making findi... | with a special intention of clarifying the underlying spin contents of the nucleon , we investigate the generalized form factors of the nucleon , which are defined as the @xmath0-th @xmath1-moments of the generalized parton distribution functions , within the framework of the chiral quark soliton model .
a particular... | 17,553 | 231 |
let @xmath1 . let @xmath2\longrightarrow [ 0,\pi_{p , q}/2]$ ] be the integral @xmath3 where @xmath4 . the @xmath0-_sine functions _ , @xmath5 , $ ] are defined to be the inverses of @xmath6 , @xmath7\ ] ] extended to @xmath8 by the rules @xmath9 which make them periodic , continuous , odd with respect to 0 and even wi... | we improve the currently known thresholds for basisness of the family of periodically dilated @xmath0-sine functions .
our findings rely on a beurling decomposition of the corresponding change of coordinates in terms of shift operators of infinite multiplicity .
we also determine refined bounds on the riesz constan... | 13,509 | 94 |
"with significant research efforts being directed to the development of neurocomputers based on the (...TRUNCATED) | "synaptic memory is considered to be the main element responsible for learning and cognition in huma(...TRUNCATED) | 5,533 | 260 |
"the segmentation process as a whole can be thought of as consisting of two tasks : recognition and (...TRUNCATED) | "this paper investigates , using prior shape models and the concept of ball scale ( b - scale ) , wa(...TRUNCATED) | 2,696 | 394 |
"one surprising result that has come out of the more than 200 extrasolar planet discoveries to date (...TRUNCATED) | "long time coverage and high radial velocity precision have allowed for the discovery of additional (...TRUNCATED) | 10,669 | 256 |
"biological aggregations such as fish schools , bird flocks , bacterial colonies , and insect swarms(...TRUNCATED) | "we study equilibrium configurations of swarming biological organisms subject to exogenous and pairw(...TRUNCATED) | 26,073 | 350 |
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