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: "cross loop optimization of arithmetic intensity for finite element local assembly"
  Abstract: We study and systematically evaluate a class of composable code transformations that improve arithmetic intensity in local assembly operations, which represent a significant fraction of the execution time in finite element methods. Their performance optimization is indeed a challenging issue. Even though affine loop nests are generally present, the short trip counts and the complexity of mathematical expressions, which vary among different problems, make it hard to determine an optimal sequence of successful transformations. Our investigation has resulted in the implementation of a compiler (called COFFEE) for local assembly kernels, fully integrated with a framework for developing finite element methods. The compiler manipulates abstract syntax trees generated from a domain-specific language by introducing domain-aware optimizations for instruction-level parallelism and register locality. Eventually, it produces C code including vector SIMD intrinsics. Experiments using a range of real-world finite element problems of increasing complexity show that significant performance improvement is achieved. The generality of the approach and the applicability of the proposed code transformations to other domains is also discussed.

Connected through hyperedge HE-1 (induced by source paper "devito v3 1 0 an embedded domain specific language for finite differences and geophysical exploration"):
  with members:
    - "simflowny 2 an upgraded platform for scientific modelling and simulation"
    - "architecture and performance of devito a system for automated stencil computation"
    - "high level python abstractions for optimal checkpointing in inversion problems"
    - "optimised finite difference computation from symbolic equations"
    - "performance prediction of finite difference solvers for different computer architectures"
    - "firedrake automating the finite element method by composing abstractions"
    - "opensbli a framework for the automated derivation and parallel execution of finite difference solvers on a range of computer architectures"
    - "automated derivation of the adjoint of high level transient finite element programs"

Connected through hyperedge HE-2 (induced by source paper "yet another tensor toolbox for discontinuous galerkin methods and other applications"):
  with members:
    - "design of a high performance gemm like tensor tensor multiplication"
    - "high performance tensor contraction without transposition"
    - "madness a multiresolution adaptive numerical environment for scientific simulation"
    - "tensor contractions with extended blas kernels on cpu and gpu"
    - "towards an efficient use of the blas library for multilinear tensor contractions"
    - "performance modeling for dense linear algebra"

Connected through hyperedge HE-3 (induced by source paper "a stabilized mixed discontinuous galerkin formulation for double porosity permeability model"):
  with members:
    - "modeling flow in porous media with double porosity permeability a stabilized mixed formulation error analysis and numerical solutions"
    - "firedrake automating the finite element method by composing abstractions"
    - "dolfin automated finite element computing"

Connected through hyperedge HE-4 (induced by source paper "composable block solvers for the four field double porosity permeability model"):
  with members:
    - "a stabilized mixed discontinuous galerkin formulation for double porosity permeability model"
    - "a scalable variational inequality approach for flow through porous media models with pressure dependent viscosity"
    - "a domain specific language for the hybridization and static condensation of finite element methods"
    - "comparative study of finite element methods using the time accuracy size tas spectrum analysis"
    - "modeling flow in porous media with double porosity permeability a stabilized mixed formulation error analysis and numerical solutions"
    - "a performance spectrum for parallel computational frameworks that solve pdes"
    - "tsfc a structure preserving form compiler"
    - "firedrake automating the finite element method by composing abstractions"

Connected through hyperedge HE-5 (induced by source paper "a scalable variational inequality approach for flow through porous media models with pressure dependent viscosity"):
  with members:
    - "a performance spectrum for parallel computational frameworks that solve pdes"
    - "firedrake automating the finite element method by composing abstractions"
    - "large scale optimization based non negative computational framework for diffusion equations parallel implementation and performance studies"
    - "an algorithm for the optimization of finite element integration loops"
    - "variational inequality approach to enforcing the non negative constraint for advection diffusion equations"
    - "on mesh restrictions to satisfy comparison principles maximum principles and the non negative constraint recent developments and new results"
    - "a numerical framework for diffusion controlled bimolecular reactive systems to enforce maximum principles and the non negative constraint"
    - "a numerical methodology for enforcing maximum principles and the non negative constraint for transient diffusion equations"

Connected through hyperedge HE-6 (induced by source paper "devito an embedded domain specific language for finite differences and geophysical exploration"):
  with members:
    - "simflowny 2 an upgraded platform for scientific modelling and simulation"
    - "architecture and performance of devito a system for automated stencil computation"
    - "high level python abstractions for optimal checkpointing in inversion problems"
    - "performance prediction of finite difference solvers for different computer architectures"
    - "opensbli a framework for the automated derivation and parallel execution of finite difference solvers on a range of computer architectures"
    - "automated derivation of the adjoint of high level transient finite element programs"

Connected through hyperedge HE-7 (induced by source paper "variational inequality approach to enforcing the non negative constraint for advection diffusion equations"):
  with members:
    - "firedrake automating the finite element method by composing abstractions"
    - "large scale optimization based non negative computational framework for diffusion equations parallel implementation and performance studies"
    - "an algorithm for the optimization of finite element integration loops"
    - "a parallel edge orientation algorithm for quadrilateral meshes"
    - "a structure exploiting numbering algorithm for finite elements on extruded meshes and its performance evaluation in firedrake"
    - "on mesh restrictions to satisfy comparison principles maximum principles and the non negative constraint recent developments and new results"
    - "a numerical framework for diffusion controlled bimolecular reactive systems to enforce maximum principles and the non negative constraint"
    - "a numerical methodology for enforcing maximum principles and the non negative constraint for transient diffusion equations"

Connected through hyperedge HE-8 (induced by source paper "firedrake automating the finite element method by composing abstractions"):
  with members:
    - "a structure exploiting numbering algorithm for finite elements on extruded meshes and its performance evaluation in firedrake"
    - "efficient mesh management in firedrake using petsc dmplex"
    - "a framework for automated pde constrained optimisation"
    - "automated derivation of the adjoint of high level transient finite element programs"
    - "dolfin automated finite element computing"
    - "optimizations for quadrature representations of finite element tensors through automated code generation"
    - "mesh algorithms for pde with sieve i mesh distribution"

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.MS(Mathematical Software)