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: "operator scaling via geodesically convex optimization invariant theory and polynomial identity testing"
  Abstract: We propose a new second-order method for geodesically convex optimization on the natural hyperbolic metric over positive definite matrices. We apply it to solve the operator scaling problem in time polynomial in the input size and logarithmic in the error. This is an exponential improvement over previous algorithms which were analyzed in the usual Euclidean, "commutative" metric (for which the above problem is not convex). Our method is general and applicable to other settings. #R##N#As a consequence, we solve the equivalence problem for the left-right group action underlying the operator scaling problem. This yields a deterministic polynomial-time algorithm for a new class of Polynomial Identity Testing (PIT) problems, which was the original motivation for studying operator scaling.

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"
    - "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"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "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 "general linear group action on tensors a candidate for post quantum cryptography"):
  with members:
    - "isomorphism problems for tensors groups and cubic forms completeness and reductions"
    - "efficient algorithms for tensor scaling quantum marginals and moment polytopes"
    - "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"
    - "constructive noncommutative rank computation is in deterministic polynomial time"
    - "solving the isomorphism of polynomials with two secrets problem for all pairs of quadratic forms"
    - "polynomial time algorithms for quadratic isomorphism of polynomials the regular case"
    - "on the lattice isomorphism problem"

Connected through hyperedge HE-3 (induced by source paper "spectral analysis of matrix scaling and operator scaling"):
  with members:
    - "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"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "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:
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "no occurrence obstructions in geometric complexity theory"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "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 "efficient algorithms for tensor scaling quantum marginals and moment polytopes"):
  with members:
    - "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"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "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-6 (induced by source paper "on geodesically convex formulations for the brascamp lieb constant"):
  with members:
    - "smoothing brascamp lieb inequalities and strong converses for common randomness generation"
    - "breaking the quadratic barrier for 3 lccs over the reals"

Connected through hyperedge HE-7 (induced by source paper "the paulsen problem continuous operator scaling and smoothed analysis"):
  with members:
    - "much faster algorithms for matrix scaling"
    - "matrix scaling and balancing via box constrained newton s method and interior point methods"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "operator scaling theory and applications"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "algorithms and hardness for robust subspace recovery"
    - "fingerprinting with equiangular tight frames"

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.DS(Data Structures and Algorithms)