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: "rectangle size bounds and threshold covers in communication complexity"
  Abstract: We investigate the power of the most important lower bound technique in randomized communication complexity, which is based on an evaluation of the maximal size of approximately monochromatic rectangles, minimized over all distributions on the inputs. While it is known that the 0-error version of this bound is polynomially tight for deterministic communication, nothing in this direction is known for constant error and randomized communication complexity. We first study a one-sided version of this bound and obtain that its value lies between the MA- and AM-complexities of the considered function. Hence the lower bound actually works for a (communication complexity) class between MA cap co-MA and AM cap co-AM. We also show that the MA-complexity of the disjointness problem is Omega(sqrt(n)). Following this we consider the conjecture that the lower bound method is polynomially tight for randomized communication complexity. First we disprove a distributional version of this conjecture. Then we give a combinatorial characterization of the value of the lower bound method, in which the optimization over all distributions is absent. This characterization is done by what we call a uniform threshold cover. We also study relaxations of this notion, namely approximate majority covers and majority covers, and compare these three notions in power, exhibiting exponential separations. Each of these covers captures a lower bound method previously used for randomized communication complexity.

Connected through hyperedge HE-1 (induced by source paper "on the hardness of approximate and exact bichromatic maximum inner product"):
  with members:
    - "hardness of approximate nearest neighbor search"
    - "conditional lower bounds for all pairs max flow"
    - "conditional lower bounds for space time tradeoffs"
    - "distributed pcp theorems for hardness of approximation in p"
    - "on the parameterized complexity of approximating dominating set"
    - "improved rectangular matrix multiplication using powers of the coppersmith winograd tensor"
    - "on the complexity of closest pair via polar pair of point sets"
    - "a framework for similarity search with space time tradeoffs using locality sensitive filtering"

Connected through hyperedge HE-2 (induced by source paper "hardness of approximate nearest neighbor search"):
  with members:
    - "on the hardness of approximate and exact bichromatic maximum inner product"
    - "distributed pcp theorems for hardness of approximation in p"
    - "optimal las vegas locality sensitive data structures"
    - "randomized approximate nearest neighbor search with limited adaptivity"
    - "the curse of medium dimension for geometric problems in almost every norm"
    - "optimal hashing based time space trade offs for approximate near neighbors"
    - "polynomial representations of threshold functions and algorithmic applications"
    - "a faster subquadratic algorithm for finding outlier correlations"

Connected through hyperedge HE-3 (induced by source paper "an equivalence class for orthogonal vectors"):
  with members:
    - "on problems equivalent to min convolution"
    - "more consequences of falsifying seth and the orthogonal vectors conjecture"
    - "hardness of approximate nearest neighbor search"
    - "on the hardness of approximate and exact bichromatic maximum inner product"
    - "tight hardness for shortest cycles and paths in sparse graphs"
    - "tight hardness results for maximum weight rectangles"
    - "on the complexity of inner product similarity join"
    - "polynomial representations of threshold functions and algorithmic applications"

Connected through hyperedge HE-4 (induced by source paper "detecting memorization in relu networks"):
  with members:
    - "stronger generalization bounds for deep nets via a compression approach"
    - "fisher rao metric geometry and complexity of neural networks"
    - "emergence of invariance and disentanglement in deep representations"
    - "visualizing the loss landscape of neural nets"
    - "sharp minima can generalize for deep nets"
    - "spectrally normalized margin bounds for neural networks"
    - "fashion mnist a novel image dataset for benchmarking machine learning algorithms"
    - "understanding deep learning requires rethinking generalization"

Connected through hyperedge HE-5 (induced by source paper "the layer complexity of arthur merlin like communication"):
  with members:
    - "on the hardness of approximate and exact bichromatic maximum inner product"
    - "on arthur merlin games in communication complexity"

Connected through hyperedge HE-6 (induced by source paper "post selected classical query complexity"):
  with members:
    - "the intersection of two halfspaces has high threshold degree"
    - "nondeterministic quantum query and quantum communication complexities"

Connected through hyperedge HE-7 (induced by source paper "an improved interactive streaming algorithm for the distinct elements problem"):
  with members:
    - "arthur merlin streaming complexity"
    - "practical verified computation with streaming interactive proofs"
    - "verifying computations with streaming interactive proofs"
    - "on arthur merlin games in communication complexity"
    - "streaming graph computations with a helpful advisor"

Connected through hyperedge HE-8 (induced by source paper "the corruption bound log rank and communication complexity"):
  with members:
    - "communication is bounded by root of rank"
    - "lower bounds on information complexity via zero communication protocols and applications"
    - "the partition bound for classical communication complexity and query complexity"
    - "communication complexity lower bounds by polynomials"

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.CC(Computational Complexity)