human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "faster algorithms for multivariate interpolation with multiplicities and simultaneous polynomial approximations"
  Abstract: The interpolation step in the Guruswami-Sudan algorithm is a bivariate interpolation problem with multiplicities commonly solved in the literature using either structured linear algebra or basis reduction of polynomial lattices. This problem has been extended to three or more variables; for this generalization, all fast algorithms proposed so far rely on the lattice approach. In this paper, we reduce this multivariate interpolation problem to a problem of simultaneous polynomial approximations, which we solve using fast structured linear algebra. This improves the best known complexity bounds for the interpolation step of the list-decoding of Reed-Solomon codes, Parvaresh-Vardy codes, and folded Reed-Solomon codes. In particular, for Reed-Solomon list-decoding with re-encoding, our approach has complexity $\mathcal{O}\tilde{~}(\ell^{\omega-1}m^2(n-k))$, where $\ell,m,n,k$ are the list size, the multiplicity, the number of sample points and the dimension of the code, and $\omega$ is the exponent of linear algebra; this accelerates the previously fastest known algorithm by a factor of $\ell / m$.

Connected through hyperedge HE-1 (induced by source paper "change of basis for m primary ideals in one and two variables"):
  with members:
    - "algorithms for zero dimensional ideals using linear recurrent sequences"
    - "on matrices with displacement structure generalized operators and faster algorithms"
    - "powers of tensors and fast matrix multiplication"
    - "fast arithmetics in artin schreier towers over finite fields"

Connected through hyperedge HE-2 (induced by source paper "efficient nonrandom construction and decoding of non adaptive group testing"):
  with members:
    - "a framework for generalized group testing with inhibitors and its potential application in neuroscience"
    - "efficient decoding schemes for noisy non adaptive group testing when noise depends on number of items in test"
    - "efficiently decodable non adaptive threshold group testing"
    - "saffron a fast efficient and robust framework for group testing based on sparse graph codes"
    - "boolean compressed sensing and noisy group testing"
    - "noise resilient group testing limitations and constructions"
    - "explicit non adaptive combinatorial group testing schemes"

Connected through hyperedge HE-3 (induced by source paper "structural properties of twisted reed solomon codes with applications to cryptography"):
  with members:
    - "twisted reed solomon codes"
    - "fast computation of the roots of polynomials over the ring of power series"
    - "squares of random linear codes"
    - "distinguisher based attacks on public key cryptosystems using reed solomon codes"
    - "on products and powers of linear codes under componentwise multiplication"
    - "key reduction of mceliece s cryptosystem using list decoding"

Connected through hyperedge HE-4 (induced by source paper "algebraic soft decoding of reed solomon codes using module minimization"):
  with members:
    - "power decoding reed solomon codes up to the johnson radius"
    - "multi trial guruswami sudan decoding for generalised reed solomon codes"
    - "on rational interpolation based list decoding and list decoding binary goppa codes"
    - "an interpolation procedure for list decoding reed solomon codes based on generalized key equations"
    - "the re encoding transformation in algebraic list decoding of reed solomon codes"
    - "syndrome decoding of reed solomon codes beyond half the minimum distance based on shift register synthesis"
    - "new list decoding algorithms for reed solomon and bch codes"

Connected through hyperedge HE-5 (induced by source paper "decoding generalized reed solomon codes and its application to rlce encryption schemes"):
  with members:
    - "quantum resistant random linear code based public key encryption scheme rlce"
    - "power decoding reed solomon codes up to the johnson radius"
    - "on rational interpolation based list decoding and list decoding binary goppa codes"
    - "an interpolation procedure for list decoding reed solomon codes based on generalized key equations"

Connected through hyperedge HE-6 (induced by source paper "on matrices with displacement structure generalized operators and faster algorithms"):
  with members:
    - "powers of tensors and fast matrix multiplication"
    - "nearly optimal computations with structured matrices"

Connected through hyperedge HE-7 (induced by source paper "algorithms for simultaneous pade approximations"):
  with members:
    - "fast computation of minimal interpolation bases in popov form for arbitrary shifts"
    - "fast computation of shifted popov forms of polynomial matrices via systems of modular polynomial equations"
    - "powers of tensors and fast matrix multiplication"
    - "generalised multi sequence shift register synthesis using module minimisation"
    - "collaborative decoding of interleaved reed solomon codes and concatenated code designs"

Connected through hyperedge HE-8 (induced by source paper "fast computation of minimal interpolation bases in popov form for arbitrary shifts"):
  with members:
    - "computing minimal interpolation bases"
    - "powers of tensors and fast matrix multiplication"
    - "an interpolation procedure for list decoding reed solomon codes based on generalized key equations"
    - "explicit codes achieving list decoding capacity error correction with optimal redundancy"

Question: Please tell me which class the center node belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.IT(Information Theory)