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: "the capacity of private information retrieval from coded databases"
  Abstract: We consider the problem of private information retrieval (PIR) over a distributed storage system. The storage system consists of $N$ non-colluding databases, each storing a coded version of $M$ messages. In the PIR problem, the user wishes to retrieve one of the available messages without revealing the message identity to any individual database. We derive the information-theoretic capacity of this problem, which is defined as the maximum number of bits of the desired message that can be privately retrieved per one bit of downloaded information. We show that the PIR capacity in this case is $C=\left(1+\frac{K}{N}+\frac{K^2}{N^2}+\cdots+\frac{K^{M-1}}{N^{M-1}}\right)^{-1}=(1+R_c+R_c^2+\cdots+R_c^{M-1})^{-1}=\frac{1-R_c}{1-R_c^M}$, where $R_c$ is the rate of the $(N,K)$ code used. The capacity is a function of the code rate and the number of messages only regardless of the explicit structure of the storage code. The result implies a fundamental tradeoff between the optimal retrieval cost and the storage cost. The result generalizes the achievability and converse results for the classical PIR with replicating databases to the case of coded databases.

Connected through hyperedge HE-1 (induced by source paper "gcsa codes with noise alignment for secure coded multi party batch matrix multiplication"):
  with members:
    - "codedprivateml a fast and privacy preserving framework for distributed machine learning"
    - "x secure t private information retrieval from mds coded storage with byzantine and unresponsive servers"
    - "distributed and private coded matrix computation with flexible communication load"
    - "secure coded multi party computation for massive matrix operations"
    - "on the asymptotic capacity of x secure t private information retrieval with graph based replicated storage"
    - "private secure coded computation"
    - "coded matrix multiplication on a group based model"
    - "cross subspace alignment codes for coded distributed batch computation"

Connected through hyperedge HE-2 (induced by source paper "latent variable private information retrieval"):
  with members:
    - "x secure t private information retrieval from mds coded storage with byzantine and unresponsive servers"
    - "the capacity of private information retrieval from heterogeneous uncoded caching databases"
    - "breaking the mds pir capacity barrier via joint storage coding"
    - "robust private information retrieval from coded systems with byzantine and colluding servers"
    - "the capacity of private information retrieval from uncoded storage constrained databases"
    - "an mds pir capacity achieving protocol for distributed storage using non mds linear codes"
    - "private information retrieval from coded storage systems with colluding byzantine and unresponsive servers"
    - "cross subspace alignment and the asymptotic capacity of x secure t private information retrieval"

Connected through hyperedge HE-3 (induced by source paper "the capacity of single server weakly private information retrieval"):
  with members:
    - "x secure t private information retrieval from mds coded storage with byzantine and unresponsive servers"
    - "on the information leakage in private information retrieval systems"
    - "weakly private information retrieval"
    - "on the capacity of private information retrieval from coded colluding and adversarial servers"
    - "asymmetry helps improved private information retrieval protocols for distributed storage"
    - "lifting private information retrieval from two to any number of messages"
    - "an operational approach to information leakage"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"

Connected through hyperedge HE-4 (induced by source paper "towards the capacity of private information retrieval from coded and colluding servers"):
  with members:
    - "on the capacity of private information retrieval from coded colluding and adversarial servers"
    - "lifting private information retrieval from two to any number of messages"
    - "private information retrieval from coded storage systems with colluding byzantine and unresponsive servers"
    - "on the capacity of single server multi message private information retrieval with side information"
    - "capacity of single server single message private information retrieval with coded side information"
    - "the capacity of private information retrieval from byzantine and colluding databases"
    - "private information retrieval from mds coded data with colluding servers settling a conjecture by freij hollanti et al"
    - "secure symmetric private information retrieval from colluding databases with adversaries"

Connected through hyperedge HE-5 (induced by source paper "private information retrieval over gaussian mac"):
  with members:
    - "noisy private information retrieval on separability of channel coding and information retrieval"
    - "asymptotically optimal scheduling for compute and forward"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "the capacity of private information retrieval with partially known private side information"
    - "gaussian multiple access via compute and forward"
    - "the capacity of private information retrieval from byzantine and colluding databases"
    - "the necessity of scheduling in compute and forward"
    - "the capacity of robust private information retrieval with colluding databases"

Connected through hyperedge HE-6 (induced by source paper "conditional disclosure of secrets a noise and signal alignment approach"):
  with members:
    - "expand and randomize an algebraic approach to secure computation"
    - "private sequential function computation"
    - "private set intersection a multi message symmetric private information retrieval perspective"
    - "the capacity of anonymous communications"
    - "cross subspace alignment and the asymptotic capacity of x secure t private information retrieval"
    - "on the capacity of secure distributed matrix multiplication"
    - "lagrange coded computing optimal design for resiliency security and privacy"
    - "blind interference alignment for private information retrieval"

Connected through hyperedge HE-7 (induced by source paper "quantum private information retrieval from mds coded and colluding servers"):
  with members:
    - "on the capacity of private information retrieval from coded colluding and adversarial servers"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "the capacity of private information retrieval from byzantine and colluding databases"
    - "private information retrieval from mds coded data with colluding servers settling a conjecture by freij hollanti et al"
    - "the capacity of robust private information retrieval with colluding databases"
    - "the capacity of symmetric private information retrieval"
    - "private information retrieval from coded databases with colluding servers"
    - "symmetric private information retrieval for mds coded distributed storage"

Connected through hyperedge HE-8 (induced by source paper "expand and randomize an algebraic approach to secure computation"):
  with members:
    - "how to compute modulo prime power sums"
    - "on distributed computing for functions with certain structures"
    - "communication and randomness lower bounds for secure computation"
    - "the capacity of private information retrieval"
    - "comments on cut set bounds on network function computation"
    - "two shannon type problems on secure multi party computations"
    - "network coding for computing cut set bounds"

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)