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: "approximate counting the lovasz local lemma and inference in graphical models"
  Abstract: In this paper we introduce a new approach for approximately counting in bounded degree systems with higher-order constraints. Our main result is an algorithm to approximately count the number of solutions to a CNF formula $\Phi$ when the width is logarithmic in the maximum degree. This closes an exponential gap between the known upper and lower bounds. #R##N#Moreover our algorithm extends straightforwardly to approximate sampling, which shows that under Lovasz Local Lemma-like conditions it is not only possible to find a satisfying assignment, it is also possible to generate one approximately uniformly at random from the set of all satisfying assignments. Our approach is a significant departure from earlier techniques in approximate counting, and is based on a framework to bootstrap an oracle for computing marginal probabilities on individual variables. Finally, we give an application of our results to show that it is algorithmically possible to sample from the posterior distribution in an interesting class of graphical models.

Connected through hyperedge HE-1 (induced by source paper "fast sampling and counting k sat solutions in the local lemma regime"):
  with members:
    - "algorithms for bis hard problems on expander graphs"
    - "algorithmic pirogov sinai theory"
    - "counting hypergraph colorings in the local lemma regime"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "a faster approximation algorithm for the gibbs partition function"
    - "parallel algorithms and concentration bounds for the lovasz local lemma via witness dags"
    - "approximation via correlation decay when strong spatial mixing fails"
    - "new constructive aspects of the lovasz local lemma"

Connected through hyperedge HE-2 (induced by source paper "counting solutions to random cnf formulas"):
  with members:
    - "counting independent sets and colorings on random regular bipartite graphs"
    - "counting hypergraph colorings in the local lemma regime"
    - "sampling random colorings of sparse random graphs"
    - "approximation via correlation decay when strong spatial mixing fails"
    - "on the concentration of the number of solutions of random satisfiability formulas"
    - "new constructive aspects of the lovasz local lemma"
    - "deterministic algorithms for the lovasz local lemma"
    - "a constructive proof of the general lovasz local lemma"

Connected through hyperedge HE-3 (induced by source paper "dynamic sampling from graphical models"):
  with members:
    - "distributed symmetry breaking in sampling optimal distributed randomly coloring with fewer colors"
    - "a simple parallel and distributed sampling technique local glauber dynamics"
    - "tight bounds for popping algorithms"
    - "sublogarithmic distributed algorithms for lov asz local lemma and the complexity hierarchy"
    - "what can be sampled locally"
    - "a polynomial time approximation algorithm for all terminal network reliability"
    - "uniform sampling through the lov asz local lemma"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"

Connected through hyperedge HE-4 (induced by source paper "tight bounds for popping algorithms"):
  with members:
    - "approximately counting bases of bicircular matroids"
    - "an almost linear time algorithm for uniform random spanning tree generation"
    - "a polynomial time approximation algorithm for all terminal network reliability"
    - "uniform sampling through the lov asz local lemma"
    - "a faster approximation algorithm for the gibbs partition function"
    - "a lower bound for the distributed lov asz local lemma"

Connected through hyperedge HE-5 (induced by source paper "quantum lov a sz local lemma shearer s bound is tight"):
  with members:
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "a constructive proof of the general lovasz local lemma"

Connected through hyperedge HE-6 (induced by source paper "interactions of computational complexity theory and mathematics"):
  with members:
    - "no occurrence obstructions in geometric complexity theory"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "uniform sampling through the lov asz local lemma"
    - "graph isomorphism in quasipolynomial time"
    - "operator scaling theory and applications"
    - "non commutative edmonds problem and matrix semi invariants"
    - "analysis of boolean functions"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"

Connected through hyperedge HE-7 (induced by source paper "variable version lov asz local lemma beyond shearer s bound"):
  with members:
    - "lopsidependency in the moser tardos framework beyond the lopsided lovasz local lemma"
    - "deterministic parallel algorithms for fooling polylogarithmic juntas and the lovasz local lemma"
    - "uniform sampling through the lov asz local lemma"
    - "computing the independence polynomial in shearer s region for the lll"
    - "focused stochastic local search and the lov asz local lemma"
    - "commutativity in the algorithmic lovasz local lemma"
    - "parallel algorithms and concentration bounds for the lovasz local lemma via witness dags"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"

Connected through hyperedge HE-8 (induced by source paper "counting hypergraph colorings in the local lemma regime"):
  with members:
    - "improved bounds for randomly sampling colorings via linear programming"
    - "a polynomial time approximation algorithm for all terminal network reliability"
    - "uniform sampling through the lov asz local lemma"
    - "commutativity in the algorithmic lovasz local lemma"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "approximation via correlation decay when strong spatial mixing fails"
    - "new constructive aspects of the lovasz local lemma"
    - "a constructive proof of the general lovasz local lemma"

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.DS(Data Structures and Algorithms)