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: "using optimization to break the epsilon barrier a faster and simpler width independent algorithm for solving positive linear programs in parallel"
  Abstract: We study the design of nearly-linear-time algorithms for approximately solving positive linear programs. Both the parallel and the sequential deterministic versions of these algorithms require $\tilde{O}(\varepsilon^{-4})$ iterations, a dependence that has not been improved since the introduction of these methods in 1993 by Luby and Nisan. Moreover, previous algorithms and their analyses rely on update steps and convergence arguments that are combinatorial in nature, and do not seem to arise naturally from an optimization viewpoint. In this paper, we leverage insights from optimization theory to construct a novel algorithm that breaks the longstanding $\tilde{O}(\varepsilon^{-4})$ barrier. Our algorithm has a simple analysis and a clear motivation. Our work introduces a number of novel techniques, such as the combined application of gradient descent and mirror descent, and a truncated, smoothed version of the standard multiplicative weight update, which may be of independent interest.

Connected through hyperedge HE-1 (induced by source paper "improved convergence for ell_ infty and ell_1 regression via iteratively reweighted least squares"):
  with members:
    - "irls and slime mold equivalence and convergence"
    - "using optimization to obtain a width independent parallel simpler and faster positive sdp solver"
    - "on a natural dynamics for linear programming"
    - "physarum can compute shortest paths"
    - "runtime guarantees for regression problems"
    - "electrical flows laplacian systems and faster approximation of maximum flow in undirected graphs"
    - "sequential and parallel algorithms for mixed packing and covering"

Connected through hyperedge HE-2 (induced by source paper "submodular maximization with matroid and packing constraints in parallel"):
  with members:
    - "an exponential speedup in parallel running time for submodular maximization without loss in approximation"
    - "optimal dr submodular maximization and applications to provable mean field inference"
    - "submodular function maximization in parallel via the multilinear relaxation"
    - "submodular maximization with optimal approximation adaptivity and query complexity"
    - "optimal algorithms for continuous non monotone submodular and dr submodular maximization"
    - "non monotone submodular maximization in exponentially fewer iterations"
    - "submodular maximization with nearly optimal approximation and adaptivity in nearly linear time"
    - "guaranteed non convex optimization submodular maximization over continuous domains"

Connected through hyperedge HE-3 (induced by source paper "width independence beyond linear objectives distributed fair packing and covering algorithms"):
  with members:
    - "solving packing and covering lps in tilde o frac 1 epsilon 2 distributed iterations with a single algorithm and simpler analysis"
    - "fairness in machine learning lessons from political philosophy"
    - "a fast distributed stateless algorithm for alpha fair packing problems"
    - "multi resource fairness objectives algorithms and performance"
    - "approximating the exponential the lanczos method and an tilde o m time spectral algorithm for balanced separator"
    - "an axiomatic theory of fairness in network resource allocation"
    - "sequential and parallel algorithms for mixed packing and covering"

Connected through hyperedge HE-4 (induced by source paper "much faster algorithms for matrix scaling"):
  with members:
    - "approximate gaussian elimination for laplacians fast sparse and simple"
    - "using optimization to obtain a width independent parallel simpler and faster positive sdp solver"
    - "sparsified cholesky and multigrid solvers for connection laplacians"
    - "linear coupling an ultimate unification of gradient and mirror descent"
    - "an efficient parallel solver for sdd linear systems"
    - "a simple combinatorial algorithm for solving sdd systems in nearly linear time"
    - "nearly linear time algorithms for graph partitioning graph sparsification and solving linear systems"

Connected through hyperedge HE-5 (induced by source paper "solving packing and covering lps in tilde o frac 1 epsilon 2 distributed iterations with a single algorithm and simpler analysis"):
  with members:
    - "unified acceleration method for packing and covering problems via diameter reduction"
    - "a nearly linear time ptas for explicit fractional packing and covering linear programs"
    - "sequential and parallel algorithms for mixed packing and covering"

Connected through hyperedge HE-6 (induced by source paper "nearly linear work algorithms for mixed packing covering and facility location linear programs"):
  with members:
    - "a nearly linear time ptas for explicit fractional packing and covering linear programs"
    - "using optimization to solve positive lps faster in parallel"
    - "electrical flows laplacian systems and faster approximation of maximum flow in undirected graphs"
    - "nearly linear time algorithms for preconditioning and solving symmetric diagonally dominant linear systems"
    - "nearly linear time algorithms for graph partitioning graph sparsification and solving linear systems"
    - "k medians facility location and the chernoff wald bound"
    - "sequential and parallel algorithms for mixed packing and covering"

Connected through hyperedge HE-7 (induced by source paper "spectral sparsification and regret minimization beyond matrix multiplicative updates"):
  with members:
    - "sparse sums of positive semidefinite matrices"
    - "an efficient algorithm for unweighted spectral graph sparsification"
    - "an almost linear time algorithm for approximate max flow in undirected graphs and its multicommodity generalizations"
    - "an efficient parallel solver for sdd linear systems"
    - "near optimal algorithms for online matrix prediction"
    - "a matrix hyperbolic cosine algorithm and applications"
    - "regret analysis of stochastic and nonstochastic multi armed bandit problems"
    - "min max graph partitioning and small set expansion"

Connected through hyperedge HE-8 (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"
    - "nearly linear time approximation schemes for mixed packing covering and facility location linear programs"
    - "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"

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)