human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "deterministic truncation of linear matroids"):
  Abstract: Let $M=(E,{\cal I})$ be a matroid. A {\em $k$-truncation} of $M$ is a matroid {$M'=(E,{\cal I}')$} such that for any $A\subseteq E$, $A\in {\cal I}'$ if and only if $|A|\leq k$ and $A\in {\cal I}$. Given a linear representation of $M$ we consider the problem of finding a linear representation of the $k$-truncation of this matroid. This problem can be abstracted out to the following problem on matrices. Let $M$ be a $n\times m$ matrix over a field $\mathbb{F}$. A {\em rank $k$-truncation} of the matrix $M$ is a $k\times m$ matrix $M_k$ (over $\mathbb{F}$ or a related field) such that for every subset $I\subseteq \{1,\ldots,m\}$ of size at most $k$, the set of columns corresponding to $I$ in $M$ has rank $|I|$ if and only of the corresponding set of columns in $M_k$ has rank $|I|$. Finding rank $k$-truncation of matrices is a common way to obtain a linear representation of $k$-truncation of linear matroids, which has many algorithmic applications. A common way to compute a rank $k$-truncation of a $n \times m$ matrix is to multiply the matrix with a random $k\times n$ matrix (with the entries from a field of an appropriate size), yielding a simple randomized algorithm. So a natural question is whether it possible to obtain a rank $k$-truncations of a matrix, {\em deterministically}. In this paper we settle this question for matrices over any finite field or the field of rationals ($\mathbb Q$). We show that given a matrix $M$ over a field $\mathbb{F}$ we can compute a $k$-truncation $M_k$ over the ring $\mathbb{F}[X]$ in deterministic polynomial time.

Includes members:
  Member "representative sets of product families":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "hitting long directed cycles is fixed parameter tractable")
  Member "faster computation of representative families for uniform matroids with applications":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "np completeness of the negative k cycle problem")
  Member "powers of tensors and fast matrix multiplication":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "new algorithms and hardness for incremental single source shortest paths in directed graphs")
  Member "finding even subgraphs even faster":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "building large k cores from sparse graphs")
  Member "representative families a unified tradeoff based approach":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "hitting long directed cycles is fixed parameter tractable")
  Member "long circuits and large euler subgraphs":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "finding even subgraphs even faster")
  Member "efficient computation of representative sets with applications in parameterized and exact algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "extensor coding")
  Member "on identity testing of tensors low rank recovery and compressed sensing":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "lower bounds for matrix factorization")

Question: Please tell me which class the source paper 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)