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: "conditional information inequalities for entropic and almost entropic points"
  Abstract: We study conditional linear information inequalities, i.e., linear inequalities for Shannon entropy that hold for distributions whose joint entropies meet some linear constraints. We prove that some conditional information inequalities cannot be extended to any unconditional linear inequalities. Some of these conditional inequalities hold for almost entropic points, while others do not. We also discuss some counterparts of conditional information inequalities for Kolmogorov complexity.

Connected through hyperedge HE-1 (induced by source paper "integrity constraints revisited from exact to approximate implication"):
  with members:
    - "bias in olap queries detection explanation and removal"
    - "the sum product theorem a foundation for learning tractable models"
    - "sum product networks a new deep architecture"
    - "linear rank inequalities on five or more variables"

Connected through hyperedge HE-2 (induced by source paper "an operational characterization of mutual information in algorithmic information theory"):
  with members:
    - "optimal probabilistic polynomial time compression and the slepian wolf theorem tighter version and simple proofs"
    - "kolmogorov complexity version of slepian wolf coding"
    - "conditional information inequalities and combinatorial applications"
    - "linear list approximation for short programs or the power of a few random bits"
    - "common information and secret key capacity"
    - "common information revisited"
    - "optimal rate code constructions for computationally simple channels"
    - "variations on muchnik s conditional complexity theorem"

Connected through hyperedge HE-3 (induced by source paper "partition symmetrical entropy functions"):
  with members:
    - "on the non robustness of essentially conditional information inequalities"
    - "entropy functions and determinant inequalities"
    - "on essentially conditional information inequalities"
    - "non shannon information inequalities in four random variables"
    - "average entropy functions"
    - "information rates of minimal non matroid related access structures"
    - "a projection method for derivation of non shannon type information inequalities"
    - "dualities between entropy functions and network codes"

Connected through hyperedge HE-4 (induced by source paper "conditional information inequalities and combinatorial applications"):
  with members:
    - "on essentially conditional information inequalities"

Connected through hyperedge HE-5 (induced by source paper "entropy region and convolution"):
  with members:
    - "equivalence of two proof techniques for non shannon type inequalities"
    - "on the ingleton violations in finite groups"
    - "on the non robustness of essentially conditional information inequalities"
    - "on essentially conditional information inequalities"
    - "non shannon information inequalities in four random variables"
    - "graph theoretical constructions for graph entropy and network coding based communications"

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)