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 "the noise sensitivity phase transition in spectral group synchronization over compact groups"):
  Abstract: In Group Synchronization, one attempts to find a collection of unknown group elements from noisy measurements of their pairwise differences. Several important problems in vision and data analysis reduce to group synchronization over various compact groups. Spectral Group Synchronization is a commonly used, robust algorithm for solving group synchronization problems, which relies on diagonalization of a block matrix whose blocks are matrix representations of the measured pairwise differences. Assuming uniformly distributed measurement errors, we present a rigorous analysis of the accuracy and noise sensitivity of spectral group synchronization algorithms over any compact group, up to the rounding error. We identify a Baik-Ben Arous-P\'ech\'e type phase transition in the noise level, beyond which spectral group synchronization necessarily fails. Below the phase transition, spectral group synchronization succeeds in recovering the unknown group elements, but its performance deteriorates with the noise level. We provide asymptotically exact formulas for the accuracy of spectral group synchronization below the phase transition, up to the rounding error. We also provide a consistent risk estimate, allowing practitioners to estimate the method's accuracy from available measurements.

Includes members:
  Member "message passing algorithms for synchronization problems over compact groups":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "multi frequency phase synchronization")
  Member "spectral synchronization of multiple views in se 3":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "learning multiview 3d point cloud registration")
  Member "non unique games over compact groups and orientation estimation in cryo em":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "single particle cryo electron microscopy mathematical theory computational challenges and opportunities")
  Member "synchronization over z2 and community detection in signed multiplex networks with constraints":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "multiple partitioning of multiplex signed networks application to european parliament votes")
  Member "a solution for multi alignment by transformation synchronisation":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "learning multiview 3d point cloud registration")
  Member "cramer rao bounds for synchronization of rotations":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on the distribution of minima in intrinsic metric rotation averaging")
  Member "multireference alignment using semidefinite programming":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "synchronisation of partial multi matchings via non negative factorisations")
  Member "exact and stable recovery of rotations for robust synchronization":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "on the distribution of minima in intrinsic metric rotation averaging")

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)