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 and beyond for particle tracking"
  Abstract: We describe a novel approach to statistical learning from particles tracked while moving in a random environment. The problem consists in inferring properties of the environment from recorded snapshots. We consider here the case of a fluid seeded with identical passive particles that diffuse and are advected by a flow. Our approach rests on efficient algorithms to estimate the weighted number of possible matchings among particles in two consecutive snapshots, the partition function of the underlying graphical model. The partition function is then maximized over the model parameters, namely diffusivity and velocity gradient. A Belief Propagation (BP) scheme is the backbone of our algorithm, providing accurate results for the flow parameters we want to learn. The BP estimate is additionally improved by incorporating Loop Series (LS) contributions. For the weighted matching problem, LS is compactly expressed as a Cauchy integral, accurately estimated by a saddle point approximation. Numerical experiments show that the quality of our improved BP algorithm is comparable to the one of a fully polynomial randomized approximation scheme, based on the Markov Chain Monte Carlo (MCMC) method, while the BP-based scheme is substantially faster than the MCMC scheme.

Connected through hyperedge HE-1 (induced by source paper "approximating the permanent by sampling from adaptive partitions"):
  with members:
    - "a tight analysis of bethe approximation for permanent"
    - "approximating the permanent with belief propagation"

Connected through hyperedge HE-2 (induced by source paper "a tight analysis of bethe approximation for permanent"):
  with members:
    - "log concave polynomials i entropy and a deterministic approximation algorithm for counting bases of matroids"
    - "approximate profile maximum likelihood"
    - "belief propagation bethe approximation and polynomials"
    - "approximating the permanent of a random matrix with vanishing mean"
    - "a generalization of permanent inequalities and applications in counting and optimization"
    - "nash social welfare matrix permanent and stable polynomials"
    - "the bethe permanent of a nonnegative matrix"
    - "approximating the permanent with fractional belief propagation"

Connected through hyperedge HE-3 (induced by source paper "multiple scan data association by convex variational inference"):
  with members:
    - "a scalable algorithm for tracking an unknown number of targets using multiple sensors"
    - "marginal multi bernoulli filters rfs derivation of mht jipda and association based member"
    - "an efficient variational approximation of the best fitting multi bernoulli filter"
    - "approximate evaluation of marginal association probabilities with belief propagation"
    - "loopy belief propagation for approximate inference an empirical study"
    - "the bethe permanent of a nonnegative matrix"
    - "a new class of upper bounds on the log partition function"
    - "approximating the permanent with fractional belief propagation"

Connected through hyperedge HE-4 (induced by source paper "marginal multi bernoulli filters rfs derivation of mht jipda and association based member"):
  with members:
    - "an efficient variational approximation of the best fitting multi bernoulli filter"
    - "approximate evaluation of marginal association probabilities with belief propagation"
    - "the bethe permanent of a nonnegative matrix"
    - "hybrid poisson and multi bernoulli filters"
    - "graphical model approximations of random finite set filters"
    - "approximating the permanent with belief propagation"

Connected through hyperedge HE-5 (induced by source paper "phase transitions for the uniform distribution in the pml problem and its bethe approximation"):
  with members:
    - "the bethe permanent of a nonnegative matrix"
    - "counting in graph covers a combinatorial characterization of the bethe entropy function"
    - "on modeling profiles instead of values"
    - "approximating the permanent with belief propagation"

Connected through hyperedge HE-6 (induced by source paper "approximate evaluation of marginal association probabilities with belief propagation"):
  with members:
    - "loopy belief propagation for approximate inference an empirical study"
    - "the bethe permanent of a nonnegative matrix"
    - "a new class of upper bounds on the log partition function"
    - "approximating the permanent with fractional belief propagation"
    - "approximating the permanent with belief propagation"
    - "max product for maximum weight matching convergence correctness and lp duality"

Connected through hyperedge HE-7 (induced by source paper "pseudocodewords from bethe permanents"):
  with members:
    - "hierarchical and high girth qc ldpc codes"
    - "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"
    - "absdet pseudo codewords and perm pseudo codewords definitions and properties"
    - "approximating the permanent with belief propagation"
    - "graph cover decoding and finite length analysis of message passing iterative decoding of ldpc codes"

Connected through hyperedge HE-8 (induced by source paper "approximating the permanent with fractional belief propagation"):
  with members:
    - "the bethe permanent of a nonnegative matrix"
    - "properties of bethe free energies and message passing in gaussian models"
    - "belief propagation and loop calculus for the permanent of a non negative matrix"
    - "approximating the permanent with belief propagation"
    - "counting independent sets and kernels of regular graphs"
    - "max product for maximum weight matching convergence correctness and lp duality"

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)