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: "convex separable problems with linear constraints in signal processing and communications"
  Abstract: In this work, we focus on separable convex optimization problems with box constraints and a set of triangular linear constraints. The solution is given in closed-form as a function of some Lagrange multipliers that can be computed through an iterative procedure in a finite number of steps. Graphical interpretations are given casting valuable insights into the proposed algorithm and allowing to retain some of the intuition spelled out by the water-filling policy. It turns out that it is not only general enough to compute the solution to different instances of the problem at hand but also remarkably simple in the way it operates. We also show how some power allocation problems in signal processing and communications can be solved with the proposed algorithm.

Connected through hyperedge HE-1 (induced by source paper "unified overview of matrix monotonic optimization for mimo transceivers"):
  with members:
    - "a framework for joint design of pilot sequence and linear precoder"
    - "on weighted mse model for mimo transceiver optimization"
    - "a framework for transceiver designs for multi hop communications with covariance shaping constraints"
    - "fifty years of mimo detection the road to large scale mimos"
    - "matrix monotonic optimization for mimo systems"
    - "robust transceiver with tomlinson harashima precoding for amplify and forward mimo relaying systems"
    - "miso capacity with per antenna power constraint"

Connected through hyperedge HE-2 (induced by source paper "new viewpoint and algorithms for water filling solutions in wireless communications"):
  with members:
    - "a framework for transceiver designs for multi hop communications with covariance shaping constraints"
    - "transceiver designs with matrix version water filling architecture under mixed power constraints"
    - "matrix monotonic optimization for mimo systems"

Connected through hyperedge HE-3 (induced by source paper "optimal policies for wireless networks with energy harvesting transmitters and receivers effects of decoding costs"):
  with members:
    - "iterative dynamic water filling for fading multiple access channels with energy harvesting"
    - "energy harvesting broadband communication systems with processing energy cost"
    - "energy cooperation in energy harvesting communications"
    - "throughput maximization for the gaussian relay channel with energy harvesting constraints"
    - "optimal scheduling and power allocation for two hop energy harvesting communication systems"
    - "throughput optimal policies for energy harvesting wireless transmitters with non ideal circuit power"
    - "training optimization for energy harvesting communication systems"
    - "throughput maximization for an energy harvesting communication system with processing cost"

Connected through hyperedge HE-4 (induced by source paper "weighted sum throughput maximization for mimo broadcast channel energy harvesting under system imperfection"):
  with members:
    - "throughput maximization for the gaussian relay channel with energy harvesting constraints"
    - "throughput optimal policies for energy harvesting wireless transmitters with non ideal circuit power"
    - "communicating using an energy harvesting transmitter optimum policies under energy storage losses"
    - "two hop communication with energy harvesting"
    - "a general framework for the optimization of energy harvesting communication systems with battery imperfections"
    - "transmission with energy harvesting nodes in fading wireless channels optimal policies"
    - "optimum transmission policies for battery limited energy harvesting nodes"
    - "information theoretic analysis of an energy harvesting communication system"

Connected through hyperedge HE-5 (induced by source paper "convex separable problems with linear and box constraints"):
  with members:
    - "power allocation in two hop amplify and forward mimo relay systems with qos requirements"
    - "separable convex optimization problems with linear ascending constraints"

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)