human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "phase transition and strong predictability"):
  Abstract: The statistical mechanical interpretation of algorithmic information theory (AIT, for short) was introduced and developed in our former work [K. Tadaki, Local Proceedings of CiE 2008, pp.425-434, 2008], where we introduced the notion of thermodynamic quantities into AIT. These quantities are real functions of temperature T>0. The values of all the thermodynamic quantities diverge when T exceeds 1. This phenomenon corresponds to phase transition in statistical mechanics. In this paper we introduce the notion of strong predictability for an infinite binary sequence and then apply it to the partition function Z(T), which is one of the thermodynamic quantities in AIT. We then reveal a new computational aspect of the phase transition in AIT by showing the critical difference of the behavior of Z(T) between T=1 and T<1 in terms of the strong predictability for the base-two expansion of Z(T).

Includes members:
  Member "a statistical mechanical interpretation of algorithmic information theory":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "distinction graphs and graphtropy a formalized phenomenological layer underlying classical and quantum entropy observational semantics and cognitive computation")
  Member "fixed point theorems on partial randomness":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a statistical mechanical interpretation of algorithmic information theory")
  Member "a statistical mechanical interpretation of algorithmic information theory iii composite systems and fixed points":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a statistical mechanical interpretation of algorithmic information theory")
  Member "a statistical mechanical interpretation of instantaneous codes":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a statistical mechanical interpretation of algorithmic information theory")
  Member "natural halting probabilities partial randomness and zeta functions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a statistical mechanical interpretation of algorithmic information theory")

Question: Please tell me which class the source paper 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)