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 "revisiting bourgain kalai and fourier entropies"):
  Abstract: The total influence of a function is a central notion in analysis of Boolean functions, and characterizing functions that have small total influence is one of the most fundamental questions associated with it. The KKL theorem and the Friedgut junta theorem give a strong characterization of such functions whenever the bound on the total influence is $o(\log n)$, however, both results become useless when the total influence of the function is $\omega(\log n)$. The only case in which this logarithmic barrier has been broken for an interesting class of function was proved by Bourgain and Kalai, who focused on functions that are symmetric under large enough subgroups of $S_n$. #R##N#In this paper, we revisit the key ideas of the Bourgain-Kalai paper. We prove a new general inequality that upper bounds the correlation between a Boolean function $f$ and a real-valued, low degree function $g$ in terms of their norms, Fourier coefficients and total influences. Some corollaries of this inequality are: #R##N#1. The Bourgain-Kalai result. #R##N#2. A slightly weaker version of the Fourier-Entropy Conjecture. More precisely, we prove that the Fourier entropy of the low-degree part of $f$ is at most $O(I[f]\log^2 I[f])$, where $I[f]$ is the total influence of $f$. In particular, we conclude that the Fourier spectrum of a Boolean function is concentrated on at most $2^{O(I[f]\log^2 I[f])}$ Fourier coefficients. #R##N#3. Using well-known learning algorithms of sparse functions, the previous point implies that the class of functions with sub-logarithmic total influence (i.e. at most $O(\log n/(\log \log n)^2)$) is learnable in polynomial time, using membership queries.

Includes members:
  Member "on the fourier entropy influence conjecture for extremal classes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "improved bounds on fourier entropy and min entropy")
  Member "improved bounds on fourier entropy and min entropy":
    also connected through other hyperedges:
      (none)
  Member "comparing the bit map and block map decoding thresholds of reed muller codes on bms channels":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "large deviations behavior of the logarithmic error probability of random codes")
  Member "analysis of boolean functions":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "coarse grained complexity for dynamic algorithms")
  Member "a composition theorem for the fourier entropy influence conjecture":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "fourier entropy influence conjecture for random linear threshold functions")

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.DM(Discrete Mathematics)