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: "the sat phase transition"
  Abstract: Phase transition is an important feature of SAT problem. For random k-SAT model, it is proved that as r (ratio of clauses to variables) increases, the structure of solutions will undergo a sudden change like satisfiability phase transition when r reaches a threshold point. This phenomenon shows that the satisfying truth assignments suddenly shift from being relatively different from each other to being very similar to each other.

Connected through hyperedge HE-1 (induced by source paper "it s not what machines can learn it s what we cannot teach"):
  with members:
    - "mipaal mixed integer program as a layer"
    - "generating difficult sat instances by preventing triangles"
    - "satnet bridging deep learning and logical reasoning using a differentiable satisfiability solver"
    - "hidden stratification causes clinically meaningful failures in machine learning for medical imaging"
    - "guiding high performance sat solvers with unsat core predictions"
    - "a survey on bias and fairness in machine learning"
    - "deep learning for symbolic mathematics"
    - "the use of deep learning for symbolic integration a review of lample and charton 2019"

Connected through hyperedge HE-2 (induced by source paper "additive tree ensembles reasoning about potential instances"):
  with members:
    - "on validating repairing and refining heuristic ml explanations"
    - "verifying robustness of gradient boosted models"
    - "reluplex an efficient smt solver for verifying deep neural networks"
    - "xgboost a scalable tree boosting system"
    - "evasion and hardening of tree ensemble classifiers"
    - "intriguing properties of neural networks"
    - "fairness through awareness"

Connected through hyperedge HE-3 (induced by source paper "phase transition in matched formulas and a heuristic for biclique satisfiability"):
  with members:
    - "the satisfiability threshold for a seemingly intractable random constraint satisfaction problem"
    - "typical random 3 sat formulae and the satisfiability threshold"

Connected through hyperedge HE-4 (induced by source paper "an efficient local search for the minimum independent dominating set problem"):
  with members:
    - "dynamic local search for the maximum clique problem"

Connected through hyperedge HE-5 (induced by source paper "selecting representative examples for program synthesis"):
  with members:
    - "neural program meta induction"
    - "making neural programming architectures generalize via recursion"
    - "learning to acquire information"
    - "learning to infer graphics programs from hand drawn images"
    - "deepcoder learning to write programs"
    - "neuro symbolic program synthesis"
    - "terpret a probabilistic programming language for program induction"
    - "neural programmer inducing latent programs with gradient descent"

Connected through hyperedge HE-6 (induced by source paper "random logic programs linear model"):
  with members:
    - "probabilistic reasoning with answer sets"
    - "the dlv system for knowledge representation and reasoning"
    - "comparisons and computation of well founded semantics for disjunctive logic programs"
    - "computing stable models worst case performance estimates"

Connected through hyperedge HE-7 (induced by source paper "allocation in practice"):
  with members:
    - "a study of proxies for shapley allocations of transport costs"
    - "online cake cutting"
    - "an empirical study of the manipulability of single transferable voting"
    - "where are the hard manipulation problems"
    - "where are the really hard manipulation problems the phase transition in manipulating the veto rule"

Connected through hyperedge HE-8 (induced by source paper "is computational complexity a barrier to manipulation"):
  with members:
    - "dominating manipulations in voting with partial information"
    - "manipulation of nanson s and baldwin s rules"
    - "complexity of and algorithms for borda manipulation"
    - "an empirical study of borda manipulation"
    - "multimode control attacks on elections"
    - "an empirical study of the manipulability of single transferable voting"
    - "where are the hard manipulation problems"
    - "manipulation and gender neutrality in stable marriage procedures"

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.AI(Artificial Intelligence)