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 "on the capacity of the heat channel waterfilling in the time frequency plane and a c node relationship"):
  Abstract: The heat channel is defined by a linear time-varying (LTV) filter with additive white Gaussian noise (AWGN) at the filter output. The continuous-time LTV filter is related to the heat kernel of the quantum mechanical harmonic oscillator, so the name of the channel. The channel's capacity is given in closed form by means of the Lambert W function. Also a waterfilling theorem in the time-frequency plane for the capacity is derived. It relies on a specific Szego theorem for which an essentially self-contained proof is provided. Similarly, the rate distortion function for a related nonstationary source is given in closed form and a (reverse) waterfilling theorem in the time-frequency plane is derived. Finally, a second closed-form expression for the capacity of the heat channel based on the detected perturbed filter output signals is presented. In this context, a precise differential connection between channel capacity and the normalized optimal detection error (NODE) is revealed. This C-NODE relationship is compared with the well-known I-MMSE relationship connecting mutual information with the minimum mean-square error (MMSE) of estimation theory.

Includes members:
  Member "the szeg o asymptotics for doubly dispersive gaussian channels":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "coding theorem and converse for abstract channels with time structure and memory")
  Member "eigenvalue estimates and mutual information for the linear time varying channel":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "waterfilling theorems for linear time varying channels and related nonstationary sources")
  Member "mutual information and minimum mean square error in gaussian channels":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the information bottleneck problems models connections applications and information theoretic views")

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)