human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent groups of papers sharing a common citing paper.

Details of the hypergraph:
Center node: "Impediments to Universal Preference-Based Default Theories"
  Abstract: Research on nonmonotonic and default reasoning has identified several important criteria for preferring alternative default inferences. The theories of reasoning based on each of these criteria may uniformly be viewed as theories of rational inference, in which the reasoner selects maximally preferred states of belief. Though researchers have noted some cases of apparent conflict between the preferences supported by different theories, it has been hoped that these special theories of reasoning may be combined into a universal logic of nonmonotonic reasoning. We show that the different categories of preferences conflict more than has been realized, and adapt formal results from social choice theory to prove that every universal theory of default reasoning will violate at least one reasonable principle of rational reasoning. Our results can be interpreted as demonstrating that, within the preferential framework, we cannot expect much improvement on the rigid lexicographic priority mechanisms that have been proposed for conflict resolution.

Connected through hyperedge HE-1 (induced by source paper "Constructive Belief and Rational Representation"):
  with members:
    - "Rational Belief Revision (Preliminary Report)"
    - "Rationality and its Roles in Reasoning"
    - "On Decision-Theoretic Foundations for Defaults"

Connected through hyperedge HE-2 (induced by source paper "Rationality and its Roles in Reasoning"):
  with members:
    - "Rational Belief Revision (Preliminary Report)"
    - "Constructive Belief and Rational Representation"
    - "Toward Rational Planning and Replanning Rational Reason Maintenance, Reasoning Economies, and Qualitative Preferences formal notions"

Question: Please tell me which class the center node belongs to. The 7 classes are: Neural_Networks, Reinforcement_Learning, Probabilistic_Methods, Theory, Genetic_Algorithms, Case_Based, Rule_Learning. Directly output the class name.

gpt: Probabilistic_Methods