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 "variational equalities of directed information and applications"):
  Abstract: In this paper we introduce two variational equalities of directed information, which are analogous to those of mutual information employed in the Blahut-Arimoto Algorithm (BAA). Subsequently, we introduce nonanticipative Rate Distortion Function (RDF) ${R}^{na}_{0,n}(D)$ defined via directed information introduced in [1], and we establish its equivalence to Gorbunov-Pinsker's nonanticipatory $\epsilon$-entropy $R^{\varepsilon}_{0,n}(D)$. By invoking certain results we first establish existence of the infimizing reproduction distribution for ${R}^{na}_{0,n}(D)$, and then we give its implicit form for the stationary case. Finally, we utilize one of the variational equalities and the closed form expression of the optimal reproduction distribution to provide an algorithm for the computation of ${R}^{na}_{0,n}(D)$.

Includes members:
  Member "nonanticipative rate distortion function and relations to filtering theory":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "zero delay rate distortion via filtering for vector valued gaussian sources")
  Member "directed information on abstract spaces properties and variational equalities":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a converse bound characterization on zero delay indirect rdf for vector gauss markov sources")
  Member "nonanticipative rate distortion function for general source channel matching":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "capacity of binary state symmetric channel with and without feedback and transmission cost")
  Member "directed information on abstract spaces properties and extremum problems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "sequential necessary and sufficient conditions for capacity achieving distributions of channels with memory and feedback")
  Member "nonanticipative rate distortion function and filtering theory a weak convergence approach":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "applications of information nonanticipative rate distortion function")
  Member "computable bounds for rate distortion with feed forward for stationary and ergodic sources":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "channel coding and source coding with increased partial side information")
  Member "improved upper bounds to the causal quadratic rate distortion function for gaussian stationary sources":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "a converse bound characterization on zero delay indirect rdf for vector gauss markov sources")
  Member "extension of the blahut arimoto algorithm for maximizing directed information":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "analysis for the slow convergence in arimoto algorithm")

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)