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: "max product for maximum weight matching convergence correctness and lp duality"
  Abstract: Max-product "belief propagation" (BP) is an iterative, message-passing algorithm for finding the maximum a posteriori (MAP) assignment of a discrete probability distribution specified by a graphical model. Despite the spectacular success of the algorithm in many application areas such as iterative decoding and combinatorial optimization, which involve graphs with many cycles, theoretical results about both the correctness and convergence of the algorithm are known in only a few cases (see section I for references). In this paper, we prove the correctness and convergence of max-product for finding the maximum weight matching (MWM) in bipartite graphs. Even though the underlying graph of the MWM problem has many cycles, somewhat surprisingly we show that the max-product algorithm converges to the correct MWM as long as the MWM is unique. We provide a bound on the number of iterations required and show that for a graph of size n, the computational cost of the algorithm scales as O(n3), which is the same as the computational cost of the best known algorithms for finding the MWM. We also provide an interesting relation between the dynamics of the max-product algorithm and the auction algorithm, which is a well-known distributed algorithm for solving the MWM problem.

Connected through hyperedge HE-1 (induced by source paper "my fair bandit distributed learning of max min fairness with multi player bandits"):
  with members:
    - "multi player bandits the adversarial case"
    - "competing bandits in matching markets"
    - "multi player multi armed bandits with non zero rewards on collisions for uncoordinated spectrum access"
    - "individual regret in cooperative nonstochastic multi armed bandits"
    - "non stochastic multi player multi armed bandits optimal rate with collision information sublinear without"
    - "social learning in multi agent multi armed bandits"
    - "multi player bandits a trekking approach"
    - "multi player multi armed bandits for stable allocation in heterogeneous ad hoc networks"

Connected through hyperedge HE-2 (induced by source paper "distributed learning for channel allocation over a shared spectrum"):
  with members:
    - "deep reinforcement learning for dynamic multichannel access in wireless networks"
    - "game of thrones fully distributed learning for multi player bandits"
    - "proactive resource management for lte in unlicensed spectrum a deep learning perspective"
    - "deep multi user reinforcement learning for distributed dynamic spectrum access"
    - "game theoretic dynamic channel allocation for frequency selective interference channels"
    - "proactive resource management in lte u systems a deep learning perspective"
    - "propagation path loss models for 5g urban micro and macro cellular scenarios"
    - "multi player bandits a musical chairs approach"

Connected through hyperedge HE-3 (induced by source paper "dandelion redesigning the bitcoin network for anonymity"):
  with members:
    - "hijacking bitcoin routing attacks on cryptocurrencies"
    - "hijacking bitcoin large scale network attacks on cryptocurrencies"
    - "deanonymisation of clients in bitcoin p2p network"
    - "bitcoin over tor isn t a good idea"
    - "spy vs spy rumor source obfuscation"
    - "locating contagion sources in networks with partial timestamps"
    - "a robust information source estimator with sparse observations"
    - "locating the source of diffusion in large scale networks"

Connected through hyperedge HE-4 (induced by source paper "serenade a parallel randomized algorithm suite for crossbar scheduling in input queued switches"):
  with members:
    - "parallel scheduling algorithm based on complex coloring for input queued switches"
    - "delay based back pressure scheduling in multihop wireless networks"
    - "node weighted scheduling"
    - "simple distributed weighted matchings"

Connected through hyperedge HE-5 (induced by source paper "inference based distributed channel allocation in wireless sensor networks"):
  with members:
    - "stochastic belief propagation a low complexity alternative to the sum product algorithm"
    - "the dynamics of message passing on dense graphs with applications to compressed sensing"
    - "sufficient conditions for convergence of the sum product algorithm"

Connected through hyperedge HE-6 (induced by source paper "message passing and combinatorial optimization"):
  with members:
    - "augmentative message passing for traveling salesman problem and graph partitioning"
    - "perturbed message passing for constraint satisfaction problems"
    - "revisiting algebra and complexity of inference in graphical models"
    - "on map inference by mwss on perfect graphs"
    - "loopy belief propagation for approximate inference an empirical study"
    - "graphical models for game theory"
    - "message passing algorithms reparameterizations and splittings"
    - "the bethe permanent of a nonnegative matrix"

Connected through hyperedge HE-7 (induced by source paper "bounding the bethe and the degree m bethe permanents"):
  with members:
    - "hierarchical and high girth qc ldpc codes"
    - "the bethe permanent of a nonnegative matrix"
    - "design of multiple edge protographs for qc ldpc codes avoiding short inevitable cycles"
    - "bounds on the minimum distance of punctured quasi cyclic ldpc codes"
    - "quasi cyclic ldpc codes influence of proto and tanner graph structure on minimum hamming distance upper bounds"
    - "the bethe partition function of log supermodular graphical models"
    - "computing the permanent with belief propagation"
    - "absdet pseudo codewords and perm pseudo codewords definitions and properties"

Connected through hyperedge HE-8 (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 weighted b matchings on arbitrary graphs and its relation to linear programs with integer solutions"
    - "belief propagation for min cost network flow convergence and correctness"
    - "message passing for maximum weight independent set"

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)