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: "belief propagation for weighted b matchings on arbitrary graphs and its relation to linear programs with integer solutions"
  Abstract: We consider the general problem of finding the minimum weight b-matching on arbitrary graphs. We prove that, whenever the linear programming (LP) relaxation of the problem has no fractional solutions, then the belief propagation (BP) algorithm converges to the correct solution. We also show that when the LP relaxation has a fractional solution then the BP algorithm can be used to solve the LP relaxation. Our proof is based on the notion of graph covers and extends the analyses of [M. Bayati, D. Shah and M. Sharma, in Proceedings of the IEEE Int. Symp. Information Theory, 2005] and [B. Huang and T. Jebara, in Proceedings of the Eleventh International Conference on Artificial Intelligence and Statistics, 2007]. The result is notable in the following regards: (1) It is one of a very small number of proofs showing correctness of BP without any constraint on the graph structure; (2) Variants of the proof work for both synchronous and asynchronous BP; it is the first proof of convergence and correctness of an a...

Connected through hyperedge HE-1 (induced by source paper "pils exploring high order neighborhoods by pattern mining and injection"):
  with members:
    - "a concise guide to existing and emerging vehicle routing problem variants"
    - "fixed set search applied to the traveling salesman problem"
    - "learning combinatorial optimization algorithms over graphs"

Connected through hyperedge HE-2 (induced by source paper "inference based resource allocation for multi cell backscatter sensor networks"):
  with members:
    - "multistatic scatter radio sensor networks for extended coverage"

Connected through hyperedge HE-3 (induced by source paper "hidden hamiltonian cycle recovery via linear programming"):
  with members:
    - "improved sum of squares lower bounds for hidden clique and hidden submatrix problems"
    - "a semidefinite program for unbalanced multisection in the stochastic block model"
    - "sum of squares lower bounds for planted clique"
    - "exact recovery in the stochastic block model"
    - "information theory of dna shotgun sequencing"
    - "distributed user profiling via spectral methods"

Connected through hyperedge HE-4 (induced by source paper "minimum weight perfect matching via blossom belief propagation"):
  with members:
    - "max product belief propagation for linear programming applications to combinatorial optimization"
    - "the cutting plane method is polynomial for perfect matchings"
    - "map estimation linear programming and belief propagation with convex free energies"
    - "complexity of inference in graphical models"
    - "belief propagation for min cost network flow convergence and correctness"
    - "message passing for maximum weight independent set"
    - "max product for maximum weight matching convergence correctness and lp duality"

Connected through hyperedge HE-5 (induced by source paper "loopy annealing belief propagation for vertex cover and matching convergence lp relaxation correctness and bethe approximation"):
  with members:
    - "the bethe permanent of a nonnegative matrix"
    - "belief propagation for linear programming"
    - "map estimation linear programming and belief propagation with convex free energies"
    - "convergent message passing algorithms a unifying view"
    - "belief propagation for min cost network flow convergence and correctness"
    - "message passing for maximum weight independent set"
    - "max product for maximum weight matching convergence correctness and lp duality"

Connected through hyperedge HE-6 (induced by source paper "max product belief propagation for linear programming applications to combinatorial optimization"):
  with members:
    - "a graphical transformation for belief propagation maximum weight matchings and odd sized cycles"
    - "complexity of inference in graphical models"
    - "graphlab a new framework for parallel machine learning"
    - "message passing for maximum weight independent set"

Connected through hyperedge HE-7 (induced by source paper "the bethe permanent of a nonnegative matrix"):
  with members:
    - "extropy complementary dual of entropy"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "map estimation linear programming and belief propagation with convex free energies"
    - "a new class of upper bounds on the log partition function"
    - "the bethe partition function of log supermodular graphical models"
    - "pseudocodewords from bethe permanents"
    - "partition functions of normal factor graphs"
    - "computing the permanent with belief propagation"

Connected through hyperedge HE-8 (induced by source paper "analysis of the min sum algorithm for packing and covering problems via linear programming"):
  with members:
    - "message passing algorithms reparameterizations and splittings"
    - "smoothed analysis of belief propagation for minimum cost flow and matching"
    - "on decoding irregular tanner codes with local optimality guarantees"
    - "belief propagation for min cost network flow convergence and correctness"
    - "message passing for maximum weight independent set"
    - "max product for maximum weight matching convergence correctness and lp duality"
    - "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)