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: "on a natural dynamics for linear programming"
  Abstract: In this paper we study dynamics inspired by Physarum polycephalum (a slime mold) for solving linear programs [NTY00, IJNT11, JZ12]. These dynamics are arrived at by a local and mechanistic interpretation of the inner workings of the slime mold and a global optimization perspective has been lacking even in the simplest of instances. Our first result is an interpretation of the dynamics as an optimization process. We show that Physarum dynamics can be seen as a steepest-descent type algorithm on a certain Riemannian manifold. Moreover, we prove that the trajectories of Physarum are in fact paths of optimizers to a parametrized family of convex programs, in which the objective is a linear cost function regularized by an entropy barrier. Subsequently, we rigorously establish several important properties of solution curves of Physarum. We prove global existence of such solutions and show that they have limits, being optimal solutions of the underlying LP. Finally, we show that the discretization of the Physarum dynamics is efficient for a class of linear programs, which include unimodular constraint matrices. Thus, together, our results shed some light on how nature might be solving instances of perhaps the most complex problem in P: linear programming.

Connected through hyperedge HE-1 (induced by source paper "linnea automatic generation of efficient linear algebra programs"):
  with members:
    - "the linear algebra mapping problem"
    - "automatic generation of efficient linear algebra programs"
    - "the generalized matrix chain algorithm"
    - "non linear associative commutative many to one pattern matching with sequence variables"
    - "efficient pattern matching in python"
    - "matchpy a pattern matching library"
    - "sparsity based correction of exponential artifacts"
    - "a parallel implementation of the ensemble kalman filter based on modified cholesky decomposition"

Connected through hyperedge HE-2 (induced by source paper "the linear algebra mapping problem"):
  with members:
    - "automatic generation of efficient linear algebra programs"
    - "clblast a tuned opencl blas library"
    - "the generalized matrix chain algorithm"
    - "image restoration by iterative denoising and backward projections"
    - "recursive algorithms for dense linear algebra the relapack collection"
    - "sparsity based correction of exponential artifacts"
    - "julia a fresh approach to numerical computing"
    - "linview incremental view maintenance for complex analytical queries"

Connected through hyperedge HE-3 (induced by source paper "automatic generation of efficient linear algebra programs"):
  with members:
    - "the generalized matrix chain algorithm"
    - "non linear associative commutative many to one pattern matching with sequence variables"
    - "efficient pattern matching in python"
    - "image restoration by iterative denoising and backward projections"
    - "matchpy a pattern matching library"
    - "sparsity based correction of exponential artifacts"
    - "a parallel implementation of the ensemble kalman filter based on modified cholesky decomposition"
    - "a study on the influence of caching sequences of dense linear algebra kernels"

Connected through hyperedge HE-4 (induced by source paper "on the convergence of network systems"):
  with members:
    - "complexity theoretic aspects of expanding cellular automata"
    - "on the complexity of local graph transformations"
    - "distributed leader election and computation of local identifiers for programmable matter"
    - "a simple framework for stability analysis of state dependent networks of heterogeneous agents"
    - "on the transformation capability of feasible mechanisms for programmable matter"
    - "computational complexity of atomic chemical reaction networks"
    - "stream graphs and link streams for the modeling of interactions over time"
    - "simple and efficient local codes for distributed stable network construction"

Connected through hyperedge HE-5 (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"
    - "using optimization to break the epsilon barrier a faster and simpler width independent algorithm for solving positive linear programs in parallel"
    - "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-6 (induced by source paper "fast provably convergent irls algorithm for p norm linear regression"):
  with members:
    - "flows in almost linear time via adaptive preconditioning"
    - "asymptotic behavior of ell_p based laplacian regularization in semi supervised learning"
    - "irls and slime mold equivalence and convergence"
    - "algorithms for lipschitz learning on graphs"

Connected through hyperedge HE-7 (induced by source paper "convergence of the non uniform physarum dynamics"):
  with members:
    - "two results on slime mold computations"
    - "irls and slime mold equivalence and convergence"
    - "physarum can compute shortest paths"

Connected through hyperedge HE-8 (induced by source paper "two results on slime mold computations"):
  with members:
    - "irls and slime mold equivalence and convergence"
    - "physarum can compute shortest paths"

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)