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: "derivatives of entropy rate in special families of hidden markov chains"
  Abstract: Consider a hidden Markov chain obtained as the observation process of an ordinary Markov chain corrupted by noise. Zuk, et. al. [13], [14] showed how, in principle, one can explicitly compute the derivatives of the entropy rate of at extreme values of the noise. Namely, they showed that the derivatives of standard upper approximations to the entropy rate actually stabilize at an explicit finite time. We generalize this result to a natural class of hidden Markov chains called ``Black Holes.'' We also discuss in depth special cases of binary Markov chains observed in binary symmetric noise, and give an abstract formula for the first derivative in terms of a measure on the simplex due to Blackwell.

Connected through hyperedge HE-1 (induced by source paper "analyticity of entropy rates of continuous state hidden markov models"):
  with members:
    - "on analytic properties of entropy rate"

Connected through hyperedge HE-2 (induced by source paper "novel lower bounds on the entropy rate of binary hidden markov processes"):
  with members:
    - "strong data processing inequalities for channels and bayesian networks"
    - "on the entropy of a noisy function"
    - "minimum ms e gerber s lemma"
    - "entropy rate for hidden markov chains with rare transitions"
    - "the capacity of finite state channels in the high noise regime"

Connected through hyperedge HE-3 (induced by source paper "asymptotics of input constrained erasure channel capacity"):
  with members:
    - "dual capacity upper bounds for noisy runlength constrained channels"
    - "the feedback capacity of the 1 rll input constrained erasure channel"
    - "asymptotics of entropy rate in special families of hidden markov chains"
    - "the capacity of channels with feedback"

Connected through hyperedge HE-4 (induced by source paper "a randomized approach to the capacity of finite state channels"):
  with members:
    - "the bethe permanent of a nonnegative matrix"
    - "non asymptotic equipartition properties for independent and identically distributed sources"
    - "limit theorems in hidden markov models"
    - "entropy rate for hidden markov chains with rare transitions"
    - "entropy of hidden markov processes via cycle expansion"
    - "asymptotics of entropy rate in special families of hidden markov chains"
    - "taylor series expansions for the entropy rate of hidden markov processes"
    - "the entropy of a binary hidden markov process"

Connected through hyperedge HE-5 (induced by source paper "limit theorems in hidden markov models"):
  with members:
    - "non asymptotic equipartition properties for independent and identically distributed sources"
    - "entropy rate for hidden markov chains with rare transitions"
    - "the capacity of finite state channels in the high noise regime"
    - "concavity of mutual information rate for input restricted finite state memoryless channels at high snr"
    - "asymptotics of entropy rate in special families of hidden markov chains"
    - "taylor series expansions for the entropy rate of hidden markov processes"
    - "the entropy of a binary hidden markov process"

Connected through hyperedge HE-6 (induced by source paper "the capacity of finite state channels in the high noise regime"):
  with members:
    - "maxwell construction the hidden bridge between iterative and maximum a posteriori decoding"
    - "the entropy of a binary hidden markov process"
    - "life above threshold from list decoding to area theorem and mse"

Connected through hyperedge HE-7 (induced by source paper "on analytic properties of entropy rate"):
  with members:
    - "the ergodic decomposition of asymptotically mean stationary random sources"
    - "the entropy of a binary hidden markov process"
    - "from finite system entropy to entropy rate for a hidden markov process"

Connected through hyperedge HE-8 (induced by source paper "asymptotics of entropy rate in special families of hidden markov chains"):
  with members:
    - "the entropy of a binary hidden markov process"
    - "from finite system entropy to entropy rate for a hidden markov process"

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)