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: "inapproximability of the capacity of information stable finite state channels"
  Abstract: The capacity of a noisy channel is the maximum asymptotic rate at which we can send information over it. For memoryless channels the capacity is given by a simple optimization problem as proven in Shannon's noisy coding theorem. Furthermore, for these channels, we have the Blahut-Arimoto algorithm that efficiently solves the optimization problem and computes the capacity. What can be said about the general situation of channels with memory? In this work we consider one of the simplest families of such channels: the so-called finite state machine channels (FSMC). We show that there cannot exist any algorithm that approximates the capacity of every FSMC to within any desired precision. More concretely, we construct a subfamily S of information stable FSMC with 10 elements in the input alphabet and 62 states so that the capacity of each member is either greater or equal than 1 or less or equal than 1/2 and show that there cannot exist any algorithm that on input an element of S decides which is the case.

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)