human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge groups papers that share a common citing paper.

Details of the hypergraph:
Center hyperedge (induced by source paper "Radial basis function approximation: from gridded centers to scattered centers"):
  Abstract: The paper studies L 1 (IR d )-norm approximations from a space spanned by a discrete set of translates of a basis function . Attention here is restricted to functions whose Fourier transform is smooth on IR d n0, and has a singularity at the origin. Examples of such basis functions are the thin-plate splines and the multiquadrics, as well as other types of radial basis functions that are employed in Approximation Theory. The above approximation problem is well-understood in case the set of points ffi used for translating forms a lattice in IR d , and many optimal and quasi-optimal approximation schemes can already be found in the literature. In contrast, only few, mostly specific, results are known for a set ffi of scattered points. The main objective of this paper is to provide a general tool for extending approximation schemes that use integer translates of a basis function to the non-uniform case. We introduce a single, relatively simple, conversion method that preserves the approximation orders provided by a large number of schemes presently in the literature (more precisely, to almost all "stationary schemes"). In anticipation of future introduction of new schemes for uniform grids, an effort is made to impose only a few mild conditions on the function , which still allow for a unified error analysis to hold. In the course of the discussion here, the recent results of [BuDL] on scattered center approximation are reproduced and improved upon.

Includes members:
  Member "Radial Basis Functions: L p -approximation orders with scattered centres":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "APPROXIMATION IN L p (R d FROM SPACES SPANNED BY THE PERTURBED INTEGER TRANSLATES OF")
  Member "APPROXIMATION IN L p (R d FROM SPACES SPANNED BY THE PERTURBED INTEGER TRANSLATES OF":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "Radial Basis Functions: L p -approximation orders with scattered centres")
  Member "Negative observations concerning approximations from spaces generated by scattered shifts of functions vanishing at 1":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "Approximation from shift-invariant subspaces of L")
  Member "Approximation from shift-invariant subspaces of L":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "Negative observations concerning approximations from spaces generated by scattered shifts of functions vanishing at 1")

Question: Please tell me which class the citing paper (i.e., the source paper of the center hyperedge) belongs to. The 7 classes are: Neural_Networks, Reinforcement_Learning, Probabilistic_Methods, Theory, Genetic_Algorithms, Case_Based, Rule_Learning. Directly output the class name.

gpt: Neural_Networks