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 "toward super polynomial size lower bounds for depth two threshold circuits"):
  Abstract: Proving super-polynomial size lower bounds for $\textsf{TC}^0$, the class of constant-depth, polynomial-size circuits of Majority gates, is a notorious open problem in complexity theory. A major frontier is to prove that $\textsf{NEXP}$ does not have poly-size $\textsf{THR} \circ \textsf{THR}$ circuit (depth-two circuits with linear threshold gates). #R##N#In recent years, R.~Williams proposed a program to prove circuit lower bounds via improved algorithms. In this paper, following Williams' framework, we show that the above frontier question can be resolved by devising slightly faster algorithms for several fundamental problems: #R##N#1. Shaving Logs for $\textsf{$\ell_2$-Furthest-Pair}$. An $n^2 \textrm{poly}(d) / \log^{\omega(1)} n$ time algorithm for $\textsf{$\ell_2$-Furthest-Pair}$ in $\mathbb{R}^d$ for polylogarithmic $d$ implies $\textsf{NEXP}$ has no polynomial size $\textsf{THR} \circ \textsf{THR}$ circuits. The same holds for Hopcroft's problem, $\textsf{Bichrom.-$\ell_2$-Closest-Pair}$ and Integer $\textsf{Max-IP}$. #R##N#2. Shaving Logs for Approximate $\textsf{Bichrom.-$\ell_2$-Closest-Pair}$. An $n^2 \textrm(d) / \log^{\omega(1)} n$ time algorithm for $(1+1/\log^{\omega(1)} n)$-approximation to $\textsf{Bichrom.-$\ell_2$-Closest-Pair}$ or $\textsf{Bichrom.-$\ell_1$-Closest-Pair}$ for polylogarithmic $d$ implies $\textsf{NEXP}$ has no polynomial size $\textsf{SYM}\circ\textsf{THR}$ circuits. #R##N#3. Shaving Logs for Modest Dimension Boolean $\textsf{Max-IP}$. An $n^2 / \log^{\omega(1)} n$ time algorithm for Bichromatic Maximum Inner Product with vector dimension $d = n^\epsilon$ for any small constant $\epsilon$ would imply $\textsf{NEXP}$ has no polynomial size $\textsf{THR} \circ \textsf{THR}$ circuits. Note there is an $n^2\textrm{polylog}(n)$ time algorithm via fast rectangle matrix multiplication. #R##N#Our results build on two structure lemmas for threshold circuits.

Includes members:
  Member "on the hardness of approximate and exact bichromatic maximum inner product":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "approximating subset sum is equivalent to min plus convolution")
  Member "tighter connections between formula sat and shaving logs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "algorithms and lower bounds for de morgan formulas of low communication leaf gates")
  Member "limits on representing boolean functions by linear combinations of simple functions thresholds relus and low degree polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "lower bounds against sparse symmetric functions of acc circuits expanding the reach of sat algorithms")
  Member "fine grained complexity meets ip pspace":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "streaming with oracle new streaming algorithms for edit distance and lcs")
  Member "weights at the bottom matter when the top is heavy":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "limits on representing boolean functions by linear combinations of simple functions thresholds relus and low degree polynomials")
  Member "probabilistic rank and matrix rigidity":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the generalized orthogonality dimension of generalized kneser graphs bounds and applications")
  Member "simulating branching programs with edit distance and friends or a polylog shaved is a lower bound made":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "streaming with oracle new streaming algorithms for edit distance and lcs")
  Member "super linear gate and super quadratic wire lower bounds for depth two and depth three threshold circuits":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "a deep conditioning treatment of neural networks")

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.CC(Computational Complexity)