References

Every paper, book, and software citation in this guide, sorted alphabetically by first-author surname. Click an entry's anchor to share a deep link, or follow the arXiv / DOI / URL for the source.

16 entries. Generated from guides/shared/references.bib at build time via scripts/build-bib.mjs.

  1. [mamba_lyapunov_tmlr] Anonymous (2025). Lyapunov Stability Analysis of Mamba. Transactions on Machine Learning Research (TMLR).
  2. [antoulas2005approximation] Athanasios C. Antoulas (2005). Approximation of Large-Scale Dynamical Systems. SIAM.
  3. [benettin1980lyapunov] Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli, and Jean-Marie Strelcyn (1980). Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. Meccanica. Vol. 15, no. 1. pp. 9-20.
  4. [blelloch1990prefix] Guy E. Blelloch (1990). Prefix sums and their applications. Synthesis of Parallel Algorithms. pp. 35-60.
  5. [dao2024mamba2] Tri Dao and Albert Gu (2024). Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Duality. International Conference on Machine Learning (ICML). link.
  6. [golub2013matrix] Gene H. Golub and Charles F. Van Loan (2013). Matrix Computations. Johns Hopkins University Press.
  7. [gu2020hippo] Albert Gu, Tri Dao, Stefano Ermon, Atri Rudra, and Christopher Ré (2020). HiPPO: Recurrent Memory with Optimal Polynomial Projections. Advances in Neural Information Processing Systems (NeurIPS). link.
  8. [gu2022s4] Albert Gu, Karan Goel, and Christopher Ré (2022). Efficiently Modeling Long Sequences with Structured State Spaces. International Conference on Learning Representations (ICLR). link.
  9. [gu2022s4d] Albert Gu, Ankit Gupta, Karan Goel, and Christopher Ré (2022). On the Parameterization and Initialization of Diagonal State Space Models. Advances in Neural Information Processing Systems (NeurIPS). link.
  10. [gu2024mamba] Albert Gu and Tri Dao (2024). Mamba: Linear-Time Sequence Modeling with Selective State Spaces. Conference on Language Modeling (COLM). link.
  11. [hairer1993ordinary] Ernst Hairer, Syvert P. Nørsett, and Gerhard Wanner (1993). Solving Ordinary Differential Equations I: Nonstiff Problems. Springer. Vol. 8.
  12. [hairer1996ordinary] Ernst Hairer and Gerhard Wanner (1996). Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer. Vol. 14.
  13. [hochbruck2010exponential] Marlis Hochbruck and Alexander Ostermann (2010). Exponential integrators. Acta Numerica. Vol. 19. pp. 209-286.
  14. [lax1956survey] Peter D. Lax and Robert D. Richtmyer (1956). Survey of the stability of linear finite difference equations. Communications on Pure and Applied Mathematics. Vol. 9, no. 2. pp. 267-293.
  15. [trefethen1997numerical] Lloyd N. Trefethen and David Bau (1997). Numerical Linear Algebra. SIAM.
  16. [tustin1947method] Arnold Tustin (1947). A method of analysing the behaviour of linear systems in terms of time series. Journal of the Institution of Electrical Engineers. Vol. 94. pp. 130-142.