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: "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
  Abstract: The celebrated Brascamp-Lieb (BL) inequalities (and their extensions) are an important mathematical tool, unifying and generalizing numerous inequalities in analysis, convex geometry and information theory. While their structural theory is very well understood, far less is known about computing their main parameters. #R##N#We give polynomial time algorithms to compute feasibility of BL-datum, the optimal BL-constant and a weak separation oracle for the BL-polytope. The same result holds for the so-called Reverse BL inequalities of Barthe. The best known algorithms for any of these tasks required at least exponential time. #R##N#The algorithms are obtained by a simple efficient reduction of a given BL-datum to an instance of the Operator Scaling problem defined by Gurvits, for which the present authors have provided a polynomial time algorithm. This reduction implies algorithmic versions of many of the known structural results, and in some cases provide proofs that are different or simpler than existing ones. #R##N#Of particular interest is the fact that the operator scaling algorithm is continuous in its input. Thus as a simple corollary of our reduction we obtain explicit bounds on the magnitude and continuity of the BL-constant in terms of the BL-data. To the best of our knowledge no such bounds were known, as past arguments relied on compactness. The continuity of BL-constants is important for developing non-linear BL inequalities that have recently found so many applications.

Connected through hyperedge HE-1 (induced by source paper "rigorous guarantees for tyler s m estimator via quantum expansion"):
  with members:
    - "spectral analysis of matrix scaling and operator scaling"
    - "operator scaling via geodesically convex optimization invariant theory and polynomial identity testing"
    - "efficient algorithms for tensor scaling quantum marginals and moment polytopes"
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "maximum entropy distributions bit complexity and stability"
    - "computing maximum entropy distributions everywhere"
    - "operator scaling theory and applications"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"

Connected through hyperedge HE-2 (induced by source paper "from independent sets and vertex colorings to isotropic spaces and isotropic decompositions"):
  with members:
    - "linear algebraic analogues of the graph isomorphism problem and the erd h o s r enyi model"
    - "algorithms based on algebras and their applications to isomorphism of polynomials with one secret group isomorphism and polynomial identity testing"
    - "the matching problem in general graphs is in quasi nc"
    - "bipartite perfect matching is in quasi nc"
    - "graph isomorphism in quasipolynomial time"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "non commutative edmonds problem and matrix semi invariants"
    - "generalized wong sequences and their applications to edmonds problems"

Connected through hyperedge HE-3 (induced by source paper "spectral analysis of matrix scaling and operator scaling"):
  with members:
    - "operator scaling via geodesically convex optimization invariant theory and polynomial identity testing"
    - "testing halfspaces over rotation invariant distributions"
    - "much faster algorithms for matrix scaling"
    - "matrix scaling and balancing via box constrained newton s method and interior point methods"
    - "operator scaling theory and applications"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "algorithms and hardness for robust subspace recovery"
    - "perfect matchings in o n 1 5 time in regular bipartite graphs"

Connected through hyperedge HE-4 (induced by source paper "search problems in algebraic complexity gct and hardness of generator for invariant rings"):
  with members:
    - "operator scaling via geodesically convex optimization invariant theory and polynomial identity testing"
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "no occurrence obstructions in geometric complexity theory"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "circuit complexity proof complexity and polynomial identity testing"
    - "geometric complexity theory v efficient algorithms for noether normalization"

Connected through hyperedge HE-5 (induced by source paper "operator scaling via geodesically convex optimization invariant theory and polynomial identity testing"):
  with members:
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "algorithms based on algebras and their applications to isomorphism of polynomials with one secret group isomorphism and polynomial identity testing"
    - "the paulsen problem continuous operator scaling and smoothed analysis"
    - "much faster algorithms for matrix scaling"
    - "matrix scaling and balancing via box constrained newton s method and interior point methods"
    - "operator scaling theory and applications"
    - "constructive noncommutative rank computation in deterministic polynomial time over fields of arbitrary characteristics"
    - "non commutative edmonds problem and matrix semi invariants"

Connected through hyperedge HE-6 (induced by source paper "efficient algorithms for tensor scaling quantum marginals and moment polytopes"):
  with members:
    - "operator scaling via geodesically convex optimization invariant theory and polynomial identity testing"
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "membership in moment polytopes is in np and conp"
    - "on vanishing of kronecker coefficients"
    - "operator scaling theory and applications"
    - "constructive noncommutative rank computation is in deterministic polynomial time"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "computing multiplicities of lie group representations"

Connected through hyperedge HE-7 (induced by source paper "recent progress on scaling algorithms and applications"):
  with members:
    - "the paulsen problem continuous operator scaling and smoothed analysis"
    - "operator scaling theory and applications"
    - "constructive noncommutative rank computation is in deterministic polynomial time"
    - "non commutative edmonds problem and matrix semi invariants"
    - "explicit lower bounds via geometric complexity theory"
    - "geometric complexity theory and tensor rank"

Connected through hyperedge HE-8 (induced by source paper "alternating minimization scaling algorithms and the null cone problem from invariant theory"):
  with members:
    - "operator scaling theory and applications"
    - "non commutative edmonds problem and matrix semi invariants"
    - "understanding alternating minimization for matrix completion"
    - "explicit lower bounds via geometric complexity theory"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"

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)