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 "partial recovery of erd h o s r e nyi graph alignment via k core alignment"):
  Abstract: We determine information theoretic conditions under which it is possible to partially recover the alignment used to generate a pair of sparse, correlated Erd\H{o}s-R\'{e}nyi graphs. To prove our achievability result, we introduce the $k$-core alignment estimator. This estimator searches for an alignment in which the intersection of the correlated graphs using this alignment has a minimum degree of $k$. We prove a matching converse bound. As the number of vertices grows, recovery of the alignment for a fraction of the vertices tending to one is possible when the average degree of the intersection of the graph pair tends to infinity. It was previously known that exact alignment is possible when this average degree grows faster than the logarithm of the number of vertices.

Includes members:
  Member "fundamental limits of database alignment":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a concentration of measure approach to database de anonymization")
  Member "nearly efficient algorithms for the graph matching problem on correlated random graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "seedless graph matching via tail of degree distribution for correlated erdos renyi graphs")
  Member "seeded graph matching via large neighborhood statistics":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "seedless graph matching via tail of degree distribution for correlated erdos renyi graphs")
  Member "typicality matching for pairs of correlated graphs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a concentration of measure approach to database de anonymization")
  Member "blind de anonymization attacks using social networks":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "privacy in social media identification mitigation and applications")
  Member "the computer science and physics of community detection landscapes phase transitions and hardness":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "mean field theory of graph neural networks in graph partitioning")
  Member "exact alignment recovery for correlated erdos renyi graphs":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "multiplex graph matching matched filters")
  Member "spectral alignment of networks":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "deep adversarial network alignment")

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)