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 "r enyi information complexity and an information theoretic characterization of the partition bound"):
  Abstract: We introduce a new information-theoretic complexity measure $IC_\infty$ for 2-party functions which is a lower-bound on communication complexity, and has the two leading lower-bounds on communication complexity as its natural relaxations: (external) information complexity ($IC$) and logarithm of partition complexity ($\text{prt}$), which have so far appeared conceptually quite different from each other. $IC_\infty$ is an external information complexity measure based on R\'enyi mutual information of order infinity. In the definition of $IC_\infty$, relaxing the order of R\'enyi mutual information from infinity to 1 yields $IC$, while $\log \text{prt}$ is obtained by replacing protocol transcripts with what we term "pseudotranscripts," which omits the interactive nature of a protocol, but only requires that the probability of any transcript given the inputs $x$ and $y$ to the two parties, factorizes into two terms which depend on $x$ and $y$ separately. Further understanding $IC_\infty$ might have consequences for important direct-sum problems in communication complexity, as it lies between communication complexity and information complexity. #R##N#We also show that applying both the above relaxations simultaneously to $IC_\infty$ gives a complexity measure that is lower-bounded by the (log of) relaxed partition complexity, a complexity measure introduced by Kerenidis et al. (FOCS 2012). We obtain a sharper connection between (external) information complexity and relaxed partition complexity than Kerenidis et al., using an arguably more direct proof.

Includes members:
  Member "tension bounds for information complexity":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "extended gray wyner system with complementary causal side information")
  Member "lower bounds on information complexity via zero communication protocols and applications":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "query to communication lifting using low discrepancy gadgets")
  Member "information complexity versus corruption and applications to orthogonality and gap hamming":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "tension bounds for information complexity")
  Member "information equals amortized communication":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "communication for generating correlation a unifying survey")
  Member "a discrepancy lower bound for information complexity":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "detecting patterns can be hard circuit lower bounds for the string matching problem")
  Member "the partition bound for classical communication complexity and query complexity":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "query to communication lifting using low discrepancy gadgets")
  Member "a direct sum theorem in communication complexity via message compression":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "polynomial pass lower bounds for graph streaming algorithms")

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.CC(Computational Complexity)