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: "nearly linear time approximation schemes for mixed packing covering and facility location linear programs"
  Abstract: We describe nearly linear-time approximation algorithms for explicitly given mixed packing/covering and facility-location linear programs. The algorithms compute $(1+\epsilon)$-approximate solutions in time $O(N \log(N)/\epsilon^2)$, where $N$ is the number of non-zeros in the constraint matrix. We also describe parallel variants taking time $O(\text{polylog}/\epsilon^4)$ and requiring only near-linear total work, $O(N \text{polylog} /\epsilon^2)$. These are the first approximation schemes for these problems that have near-linear-time sequential implementations or near-linear-work polylog-time parallel implementations.

Connected through hyperedge HE-1 (induced by source paper "positive semidefinite programming mixed parallel and width independent"):
  with members:
    - "a rank 1 sketch for matrix multiplicative weights"
    - "non convex matrix completion against a semi random adversary"
    - "high dimensional robust mean estimation in nearly linear time"
    - "efficient structured matrix recovery and nearly linear time algorithms for solving inverse symmetric m matrices"
    - "an sdp based algorithm for linear sized spectral sparsification"
    - "follow the compressed leader faster online learning of eigenvectors and faster mmwu"
    - "hardness results for structured linear systems"
    - "using optimization to obtain a width independent parallel simpler and faster positive sdp solver"

Connected through hyperedge HE-2 (induced by source paper "efficient structured matrix recovery and nearly linear time algorithms for solving inverse symmetric m matrices"):
  with members:
    - "non convex matrix completion against a semi random adversary"
    - "an almost linear time algorithm for uniform random spanning tree generation"
    - "matrix scaling and balancing via box constrained newton s method and interior point methods"
    - "sampling random spanning trees faster than matrix multiplication"
    - "faster algorithms for computing the stationary distribution simulating random walks and more"
    - "spectral sparsification and regret minimization beyond matrix multiplicative updates"
    - "on sketching quadratic forms"
    - "algorithms for lipschitz learning on graphs"

Connected through hyperedge HE-3 (induced by source paper "fast and deterministic approximations for k cut"):
  with members:
    - "lp relaxation and tree packing for minimum k cuts"
    - "on approximating sparse covering integer programs"
    - "faster exact and approximate algorithms for k cut"
    - "fast approximations for metric tsp via linear programming"
    - "an fpt algorithm beating 2 approximation for k cut"
    - "approximating the held karp bound for metric tsp in nearly linear time"
    - "deterministic global minimum cut of a simple graph in near linear time"
    - "designing fpt algorithms for cut problems using randomized contractions"

Connected through hyperedge HE-4 (induced by source paper "approximating optimal transport with linear programs"):
  with members:
    - "computational optimal transport complexity by accelerated gradient descent is better than by sinkhorn s algorithm"
    - "towards optimal running times for optimal transport"
    - "better and simpler error analysis of the sinkhorn knopp algorithm for matrix scaling"
    - "near linear time approximation algorithms for optimal transport via sinkhorn iteration"
    - "matrix scaling and balancing via box constrained newton s method and interior point methods"
    - "a nearly linear time ptas for explicit fractional packing and covering linear programs"

Connected through hyperedge HE-5 (induced by source paper "approximating the held karp bound for metric tsp in nearly linear time"):
  with members:
    - "incremental exact min cut in poly logarithmic amortized update time"
    - "an experimental evaluation of the best of many christofides algorithm for the traveling salesman problem"
    - "unified acceleration method for packing and covering problems via diameter reduction"
    - "a nearly linear time ptas for explicit fractional packing and covering linear programs"
    - "improved inapproximability for tsp"
    - "faster approximation schemes for fractional multicommodity flow problems via dynamic graph algorithms"
    - "minimum cuts in near linear time"

Connected through hyperedge HE-6 (induced by source paper "using optimization to obtain a width independent parallel simpler and faster positive sdp solver"):
  with members:
    - "spectral sparsification and regret minimization beyond matrix multiplicative updates"
    - "a nearly linear time ptas for explicit fractional packing and covering linear programs"
    - "using optimization to break the epsilon barrier a faster and simpler width independent algorithm for solving positive linear programs in parallel"
    - "a parallel approximation algorithm for mixed packing and covering semidefinite programs"
    - "a parallel approximation algorithm for positive semidefinite programming"
    - "approximating the exponential the lanczos method and an tilde o m time spectral algorithm for balanced separator"
    - "two message quantum interactive proofs are in pspace"
    - "sequential and parallel algorithms for mixed packing and covering"

Connected through hyperedge HE-7 (induced by source paper "faster parallel solver for positive linear programs via dynamically bucketed selective coordinate descent"):
  with members:
    - "using optimization to obtain a width independent parallel simpler and faster positive sdp solver"
    - "unified acceleration method for packing and covering problems via diameter reduction"
    - "linear coupling an ultimate unification of gradient and mirror descent"
    - "a nearly linear time ptas for explicit fractional packing and covering linear programs"
    - "using optimization to break the epsilon barrier a faster and simpler width independent algorithm for solving positive linear programs in parallel"
    - "efficient accelerated coordinate descent methods and faster algorithms for solving linear systems"
    - "parallel coordinate descent for l1 regularized loss minimization"
    - "sequential and parallel algorithms for mixed packing and covering"

Connected through hyperedge HE-8 (induced by source paper "nearly linear time packing and covering lp solvers"):
  with members:
    - "a nearly linear time ptas for explicit fractional packing and covering linear programs"
    - "using optimization to break the epsilon barrier a faster and simpler width independent algorithm for solving positive linear programs in parallel"
    - "faster approximation schemes for fractional multicommodity flow problems via dynamic graph algorithms"
    - "sequential and parallel algorithms for mixed packing and covering"
    - "on the number of iterations for dantzig wolfe optimization and packing covering approximation algorithms"

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)