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: "deterministic bounds for restricted isometry of compressed sensing matrices"
  Abstract: Compressed Sensing (CS) is an emerging field that enables reconstruction of a sparse signal $x \in {\mathbb R} ^n$ that has only $k \ll n$ non-zero coefficients from a small number $m \ll n$ of linear projections. The projections are obtained by multiplying $x$ by a matrix $\Phi \in {\mathbb R}^{m \times n}$ --- called a CS matrix --- where $k < m \ll n$. In this work, we ask the following question: given the triplet $\{k, m, n \}$ that defines the CS problem size, what are the deterministic limits on the performance of the best CS matrix in ${\mathbb R}^{m \times n}$? We select Restricted Isometry as the performance metric. We derive two deterministic converse bounds and one deterministic achievable bound on the Restricted Isometry for matrices in ${\mathbb R}^{m \times n}$ in terms of $n$, $m$ and $k$. The first converse bound (structural bound) is derived by exploiting the intricate relationships between the singular values of sub-matrices and the complete matrix. The second converse bound (packing bound) and the achievable bound (covering bound) are derived by recognizing the equivalence of CS matrices to codes on Grassmannian spaces. Simulations reveal that random Gaussian $\Phi$ provide far from optimal performance. The derivation of the three bounds offers several new geometric insights that relate optimal CS matrices to equi-angular tight frames, the Welch bound, codes on Grassmannian spaces, and the Generalized Pythagorean Theorem (GPT).

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.IT(Information Theory)