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: "loop calculus helps to improve belief propagation and linear programming decodings of low density parity check codes"
  Abstract: We illustrate the utility of the recently developed loop calculus for improving the Belief Propagation (BP) algorithm. If the algorithm that minimizes the Bethe free energy fails we modify the free energy by accounting for a critical loop in a graphical representation of the code. The log-likelihood specific critical loop is found by means of the loop calculus. The general method is tested using an example of the Linear Programming (LP) decoding, that can be viewed as a special limit of the BP decoding. Considering the (155,64,20) code that performs over Additive-White-Gaussian-Noise channel we show that the loop calculus improves the LP decoding and corrects all previously found dangerous configurations of log-likelihoods related to pseudo-codewords with low effective distance, thus reducing the code's error-floor.

Connected through hyperedge HE-1 (induced by source paper "belief propagation bethe approximation and polynomials"):
  with members:
    - "a generalization of permanent inequalities and applications in counting and optimization"
    - "real stable polynomials and matroids optimization and counting"
    - "effective resistance reducing flows spectrally thin trees and asymmetric tsp"
    - "the bethe permanent of a nonnegative matrix"
    - "entropy optimization and counting"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "the bethe partition function of log supermodular graphical models"
    - "partition functions of normal factor graphs"

Connected through hyperedge HE-2 (induced by source paper "loop calculus for non binary alphabets using concepts from information geometry"):
  with members:
    - "the bethe permanent of a nonnegative matrix"
    - "the matching polytope has exponential extension complexity"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "beyond the bethe free energy of ldpc codes via polymer expansions"
    - "new generalizations of the bethe approximation via asymptotic expansion"
    - "primal view on belief propagation"
    - "connection between annealed free energy and belief propagation on random factor graph ensembles"
    - "partition functions of normal factor graphs"

Connected through hyperedge HE-3 (induced by source paper "mathematical programming decoding of binary linear codes theory and algorithms"):
  with members:
    - "polytope of correct linear programming decoding and low weight pseudo codewords"
    - "efficient linear programming decoding of hdpc codes"
    - "error bounds for repeat accumulate codes decoded via linear programming"
    - "efficient implementation of linear programming decoding"
    - "a decomposition theory for binary linear codes"
    - "max product for maximum weight matching convergence correctness and lp duality"
    - "interior point algorithms for linear programming decoding"
    - "a cutting plane method based on redundant rows for improving fractional distance"

Connected through hyperedge HE-4 (induced by source paper "polytope of correct linear programming decoding and low weight pseudo codewords"):
  with members:
    - "worst configurations instantons for compressed sensing over reals a channel coding approach"
    - "instanton based techniques for analysis and reduction of error floors of ldpc codes"
    - "guessing facets polytope structure and improved lp decoder"
    - "adaptive methods for linear programming decoding"
    - "reducing the error floor"
    - "towards low complexity linear programming decoding"
    - "graph cover decoding and finite length analysis of message passing iterative decoding of ldpc codes"

Connected through hyperedge HE-5 (induced by source paper "reweighted lp decoding for ldpc codes"):
  with members:
    - "lp decoding meets lp decoding a connection between channel coding and compressed sensing"
    - "probabilistic analysis of linear programming decoding"
    - "towards low complexity linear programming decoding"

Connected through hyperedge HE-6 (induced by source paper "approximate inference on planar graphs using loop calculus and belief propagation"):
  with members:
    - "loopy belief propagation for approximate inference an empirical study"
    - "residual belief propagation informed scheduling for asynchronous message passing"
    - "a new class of upper bounds on the log partition function"
    - "efficient exact inference in planar ising models"
    - "truncating the loop series expansion for belief propagation"

Connected through hyperedge HE-7 (induced by source paper "a separation algorithm for improved lp decoding of linear block codes"):
  with members:
    - "efficient implementation of linear programming decoding"
    - "probabilistic analysis of linear programming decoding"
    - "a cutting plane method based on redundant rows for improving fractional distance"
    - "pseudo codeword landscape"
    - "guessing facets polytope structure and improved lp decoder"
    - "adaptive methods for linear programming decoding"
    - "reducing the error floor"
    - "towards low complexity linear programming decoding"

Connected through hyperedge HE-8 (induced by source paper "provably efficient instanton search algorithm for lp decoding of ldpc codes over the bsc"):
  with members:
    - "pseudo codeword landscape"
    - "guessing facets polytope structure and improved lp decoder"
    - "graph cover decoding and finite length analysis of message passing iterative decoding of ldpc codes"

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)