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: "efficient implementation of linear programming decoding"
  Abstract: While linear programming (LP) decoding provides more flexibility for finite-length performance analysis than iterative message-passing (IMP) decoding, it is computationally more complex to implement in its original form, due to both the large size of the relaxed LP problem, and the inefficiency of using general-purpose LP solvers. This paper explores ideas for fast LP decoding of low-density parity-check (LDPC) codes. We first prove, by modifying the previously reported Adaptive LP decoding scheme to allow removal of unnecessary constraints, that LP decoding can be performed by solving a number of LP problems that contain at most one linear constraint derived from each of the parity-check constraints. By exploiting this property, we study a sparse interior-point implementation for solving this sequence of linear programs. Since the most complex part of each iteration of the interior-point algorithm is the solution of a (usually ill-conditioned) system of linear equations for finding the step direction, we propose a preconditioning algorithm to facilitate iterative solution of such systems. The proposed preconditioning algorithm is similar to the encoding procedure of LDPC codes, and we demonstrate its effectiveness via both analytical methods and computer simulation results.

Connected through hyperedge HE-1 (induced by source paper "adaptive linear programming decoding of nonbinary linear codes over prime fields"):
  with members:
    - "hardware based linear program decoding with the alternating direction method of multipliers"
    - "on the finite length scaling of ternary polar codes"
    - "low complexity lp decoding of nonbinary linear codes"
    - "mathematical programming decoding of binary linear codes theory and algorithms"
    - "adaptive cut generation algorithm for improved linear programming decoding of binary linear codes"
    - "decomposition methods for large scale lp decoding"
    - "linear programming decoding of nonbinary linear codes"
    - "a separation algorithm for improved lp decoding of linear block codes"

Connected through hyperedge HE-2 (induced by source paper "the admm penalized decoder for ldpc codes"):
  with members:
    - "hierarchical and high girth qc ldpc codes"
    - "linear programming decoding of spatially coupled codes"
    - "an improved three weight message passing algorithm"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "mathematical programming decoding of binary linear codes theory and algorithms"
    - "error floor approximation for ldpc codes in the awgn channel"
    - "adaptive cut generation algorithm for improved linear programming decoding of binary linear codes"
    - "decomposition methods for large scale lp decoding"

Connected through hyperedge HE-3 (induced by source paper "introduction to mathematical programming based error correction decoding"):
  with members:
    - "efficient maximum likelihood decoding of linear block codes on binary memoryless channels"
    - "towards combinatorial lp turbo decoding"
    - "mathematical programming decoding of binary linear codes theory and algorithms"
    - "adaptive cut generation algorithm for improved linear programming decoding of binary linear codes"
    - "polytope of correct linear programming decoding and low weight pseudo codewords"
    - "a decomposition theory for binary linear codes"
    - "linear programming decoding of nonbinary linear codes"
    - "a separation algorithm for improved lp decoding of linear block codes"

Connected through hyperedge HE-4 (induced by source paper "admm lp decoding of non binary ldpc codes in mathbb f _ 2 m"):
  with members:
    - "the admm penalized decoder for ldpc codes"
    - "low complexity lp decoding of nonbinary linear codes"
    - "linear programming decoding of spatially coupled codes"
    - "online alternating direction method"
    - "adaptive cut generation algorithm for improved linear programming decoding of binary linear codes"
    - "decomposition methods for large scale lp decoding"
    - "lp decoding of regular ldpc codes in memoryless channels"
    - "probabilistic analysis of linear programming decoding"

Connected through hyperedge HE-5 (induced by source paper "low complexity lp decoding of nonbinary linear codes"):
  with members:
    - "decomposition methods for large scale lp decoding"
    - "trellis based check node processing for low complexity nonbinary lp decoding"
    - "linear programming decoding of nonbinary linear codes"
    - "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-6 (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"
    - "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"
    - "linear programming decoding of nonbinary linear codes"

Connected through hyperedge HE-7 (induced by source paper "decomposition methods for large scale lp decoding"):
  with members:
    - "hierarchical and high girth qc ldpc codes"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "online alternating direction method"
    - "error floor approximation for ldpc codes in the awgn channel"
    - "improved linear programming decoding of ldpc codes and bounds on the minimum and fractional distance"
    - "l1 projections with box constraints"
    - "probabilistic analysis of linear programming decoding"
    - "interior point algorithms for linear programming decoding"

Connected through hyperedge HE-8 (induced by source paper "lp decoding of expander codes a simpler proof"):
  with members:
    - "lp decoding of regular ldpc codes in memoryless channels"
    - "interior point algorithms for linear programming decoding"
    - "on the block error probability of lp decoding of ldpc codes"
    - "towards low complexity linear programming decoding"
    - "bounds on the threshold of linear programming decoding"
    - "some applications of coding theory in computational complexity"

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)