Kevin K Lin

• A Aucoin, K K Lin, and K Gothard, "Detection of latent brain states from spontaneous neural activity in the amygdala", to appear in PLoS Computat. Biol. (2025)
  
  [ preprint (biorxiv) ] [ code ]

• Z-C Xiao, K K Lin, and L-S Young, "Efficient models of cortical activity via local dynamic equilibria and coarse-grained interactions", Proc. Natl. Acad. Sci. USA 121 (2024)
  
  [ published version ] [ code ]

• P Greene and K K Lin, "A comparison of probe geometries for neuronal localization", Proceedings of 2022 IEEE EMBS Conference (2022) pp. 4083--4087
  
  [ published version ]

• Z-C Xiao and K K Lin, "Multilevel Monte Carlo for Cortical Circuit Models", J. Computat. Neurosci. 50 (2022) pp. 9--15
  
  [ published version ] [ code ]

• Z-C Xiao, K K Lin, and L-S Young, "A data-informed mean-field approach to mapping of cortical parameter landscapes", PLoS Computat. Biol. 17 (2021)
  
  [ published version ] [ preprint (arxiv) ] [ preprint (biorxiv) ] [ code ]

• K K Lin and F Lu, "Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism", J. Computat. Phys. 424 (2021)
  
  [ preprint ] [ published version ]

• Z-C Xiao, K K Lin, and J-M Fellous, "Conjunctive reward-place coding properties of dorsal distal CA1 hippocampus cells", Biol. Cyber. 114 (2020) pp. 285--301
  
  [ published version ] [ accepted manuscript ]

• A Leach, K K Lin, and M Morzfeld, "Symmetrized importance samplers for stochastic differential equations", CAMCoS 13 (2018) pp. 215--241
  
  [ published version ] [ preprint ] [ code ]

• F Lu, K K Lin, and A Chorin, "Data-based stochastic model reduction for the Kuramoto--Sivashinsky equation", Physica D 340 (2017) pp. 46--57
  
  [ preprint ] [ published version ]

• F Lu, K K Lin, and A Chorin, "Comparison of continuous and discrete-time data-based modeling for hypoelliptic systems", CAMCoS 11 (2016) pp. 187--216
  
  [ preprint ] [ published version ]

• G Lajoie, K K Lin, J-P Thivierge, and E Shea-Brown, "Encoding in balanced networks: revisiting spike patterns and chaos in stimulus-driven systems", PLoS Computat. Biol. 12 (2016)
  
  [ preprint ] [ published version ]

• J Goodman, K K Lin, and M Morzfeld, "Small-noise analysis and symmetrization of implicit Monte Carlo samplers", Commun. Pure Appl. Math. 69 (2016) pp. 1924--1951
  
  [ preprint ] [ published version ]

• G Hooker, K K Lin, and B Rogers, "Control theory and experimental design in diffusion processes", SIAM JUQ 3 (2015) pp. 234--264
  
  [ preprint ] [ published version ] [ code ]

• K C A Wedgwood, K K Lin, R Thul, and S Coombes, "Phase-amplitude descriptions of neural oscillator models", J. Math. Neurosci. 3 (2013)
  
  [ preprint ] [ published version ]

• D Lyttle, B Gereke, K K Lin, and J-M Fellous, "Spatial scale and place field stability in a grid-to-place cell model of the dorsoventral axis of the hippocampus", Hippocampus 23 (2013) pp. 729--744
  
  [ published version ]

• K K Lin, K C A Wedgwood, S Coombes, and L-S Young, "Limitations of perturbative techniques in the analysis of rhythms and oscillations", J. Math. Biol. 66 (2013) pp. 139--161
  
  [ preprint ] [ published version ]

• G Lajoie, K K Lin, and E Shea-Brown, "Chaos and reliability in balanced spiking networks with temporal drive", Phys. Rev. E 87 (2013)
  
  [ preprint ] [ published version ]

• A Barrat, B Fernandez, K K Lin, and L-S Young, "Modeling temporal networks using random itineraries", Phys. Rev. Lett. 110 (2013)
  (article no 158702)
  
  [ preprint ] [ published version ]

• K K Lin and L-S Young, "Dynamics of periodically-kicked oscillators", Journal of Fixed Point Theory and Applications 7 (2010) pp. 291--312
  
  [ preprint ] [ published version ]

• K K Lin and L-S Young, "Nonequilibrium steady states for certain Hamiltonian models", J. Stat. Phys. 139 (2010) pp. 630--657
  
  [ preprint ] [ published version ]

• P Balint, K K Lin, and L-S Young, "Ergodicity and energy distributions for some boundary driven integrable Hamiltonian chains", Commun. Math. Phys. 294 (2010) pp. 199--228
  
  [ preprint ] [ published version ]

• K K Lin, E Shea-Brown, and L-S Young, "Reliability of layered neural oscillator networks", Commun. Math. Sci. 7 (2009) pp. 239--247
  
  [ published version ] [ preprint ]

• K K Lin, E Shea-Brown, and L-S Young, "Reliability of coupled oscillators", J. Nonlin. Sci. 19 (2009) pp. 497--545
  
  [ Part I preprint ] [ Part II preprint ] [ published version ]

• K K Lin, E Shea-Brown, and L-S Young, "Spike-time reliability of layered neural oscillator networks", J. Computat. Neurosci. 27 (2009) pp. 135--160
  
  [ preprint ] [ published version ]

• K K Lin and J Goodman, "Coupling control variates in dynamic Monte Carlo", J. Computat. Phys. 228 (2009) pp. 7127--7136
  
  [ preprint ] [ published version ]

• K K Lin and L-S Young, "Shear-induced chaos", Nonlinearity 21 (2008) pp. 899--922
  This was one of Nonlinearity's "high profile articles of 2008"
  
  [ preprint ] [ published version ]

• K K Lin and L-S Young, "Correlations in nonequilibrium steady-states of random-halves models", J. Stat. Phys. 128 (2007) pp. 607--639
  
  [ preprint ] [ published version ]

• K K Lin, "Entrainment and chaos in a pulse-driven Hodgkin-Huxley oscillator", SIAM J. Applied Dyn. Sys. 5 (2006) pp. 179--204
  
  [ preprint ] [ published version ]

• F Hoppensteadt and K K Lin, "Propagating coalitions in networks of nonlinear oscillators", Sci. Math. Jap. 64 (2006) pp. 779--784
  

• K K Lin, "Convergence of invariant densities in the small-noise limit", Nonlinearity 18 (2005) pp. 659--683
  
  [ preprint ] [ published version ]

• L Guillopé, K K Lin, and M Zworski, "The Selberg zeta function for convex co-compact Schottky groups", Commun. Math. Phys. 245 (2004) pp. 149--176
  
  [ preprint ] [ published version ]

• K K Lin, "Numerical study of quantum resonances in chaotic scattering", J. Computat. Phys. 176 (2002) pp. 295--329
  
  [ preprint ] [ published version ]

• K K Lin and M Zworski, "Quantum resonances in chaotic scattering", Chem. Phys. Lett. 355 (2002) pp. 201--205
  
  [ preprint ] [ published version ]

• K K Lin, "Spike-time reliability of layered neural oscillator networks", Proceedings of the 12th Granada Seminar (2013)
  Extended abstract from the 12th Granada Seminar on Computational and Statistical Physics: Physics, Computation, and the Mind - Advances and Challenges at Interfaces
  

• K K Lin, "Stimulus-response reliability of biological networks", Nonautonomous and Random Dynamical Systems in Life Sciences (2012)
  Invited review article in collection edited by P Kloeden and C Poetzsche.
  
  [ preprint ]

• K K Lin, "Reliable and unreliable behavior in oscillator networks", Oberwolfach Reports 8 (2011) pp. 2293--2295
  (This is an extended abstract from a mini-workshop in August 2011.)
  
  [ published version ]

• K K Lin and F Lu, "Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism", J. Computat. Phys. 424 (2021)
  
  [ preprint ] [ published version ]

• F Lu, K K Lin, and A Chorin, "Data-based stochastic model reduction for the Kuramoto--Sivashinsky equation", Physica D 340 (2017) pp. 46--57
  
  [ preprint ] [ published version ]

• F Lu, K K Lin, and A Chorin, "Comparison of continuous and discrete-time data-based modeling for hypoelliptic systems", CAMCoS 11 (2016) pp. 187--216
  
  [ preprint ] [ published version ]

• A Aucoin, K K Lin, and K Gothard, "Detection of latent brain states from spontaneous neural activity in the amygdala", to appear in PLoS Computat. Biol. (2025)
  
  [ preprint (biorxiv) ] [ code ]

• Z-C Xiao, K K Lin, and L-S Young, "Efficient models of cortical activity via local dynamic equilibria and coarse-grained interactions", Proc. Natl. Acad. Sci. USA 121 (2024)
  
  [ published version ] [ code ]

• P Greene and K K Lin, "A comparison of probe geometries for neuronal localization", Proceedings of 2022 IEEE EMBS Conference (2022) pp. 4083--4087
  
  [ published version ]

• Z-C Xiao and K K Lin, "Multilevel Monte Carlo for Cortical Circuit Models", J. Computat. Neurosci. 50 (2022) pp. 9--15
  
  [ published version ] [ code ]

• Z-C Xiao, K K Lin, and L-S Young, "A data-informed mean-field approach to mapping of cortical parameter landscapes", PLoS Computat. Biol. 17 (2021)
  
  [ published version ] [ preprint (arxiv) ] [ preprint (biorxiv) ] [ code ]

• Z-C Xiao, K K Lin, and J-M Fellous, "Conjunctive reward-place coding properties of dorsal distal CA1 hippocampus cells", Biol. Cyber. 114 (2020) pp. 285--301
  
  [ published version ] [ accepted manuscript ]

• G Lajoie, K K Lin, J-P Thivierge, and E Shea-Brown, "Encoding in balanced networks: revisiting spike patterns and chaos in stimulus-driven systems", PLoS Computat. Biol. 12 (2016)
  
  [ preprint ] [ published version ]

• K K Lin, "Spike-time reliability of layered neural oscillator networks", Proceedings of the 12th Granada Seminar (2013)
  Extended abstract from the 12th Granada Seminar on Computational and Statistical Physics: Physics, Computation, and the Mind - Advances and Challenges at Interfaces
  

• K C A Wedgwood, K K Lin, R Thul, and S Coombes, "Phase-amplitude descriptions of neural oscillator models", J. Math. Neurosci. 3 (2013)
  
  [ preprint ] [ published version ]

• D Lyttle, B Gereke, K K Lin, and J-M Fellous, "Spatial scale and place field stability in a grid-to-place cell model of the dorsoventral axis of the hippocampus", Hippocampus 23 (2013) pp. 729--744
  
  [ published version ]

• K K Lin, K C A Wedgwood, S Coombes, and L-S Young, "Limitations of perturbative techniques in the analysis of rhythms and oscillations", J. Math. Biol. 66 (2013) pp. 139--161
  
  [ preprint ] [ published version ]

• G Lajoie, K K Lin, and E Shea-Brown, "Chaos and reliability in balanced spiking networks with temporal drive", Phys. Rev. E 87 (2013)
  
  [ preprint ] [ published version ]

• K K Lin, "Stimulus-response reliability of biological networks", Nonautonomous and Random Dynamical Systems in Life Sciences (2012)
  Invited review article in collection edited by P Kloeden and C Poetzsche.
  
  [ preprint ]

• K K Lin, "Reliable and unreliable behavior in oscillator networks", Oberwolfach Reports 8 (2011) pp. 2293--2295
  (This is an extended abstract from a mini-workshop in August 2011.)
  
  [ published version ]

• K K Lin, E Shea-Brown, and L-S Young, "Reliability of layered neural oscillator networks", Commun. Math. Sci. 7 (2009) pp. 239--247
  
  [ published version ] [ preprint ]

• K K Lin, E Shea-Brown, and L-S Young, "Reliability of coupled oscillators", J. Nonlin. Sci. 19 (2009) pp. 497--545
  
  [ Part I preprint ] [ Part II preprint ] [ published version ]

• K K Lin, E Shea-Brown, and L-S Young, "Spike-time reliability of layered neural oscillator networks", J. Computat. Neurosci. 27 (2009) pp. 135--160
  
  [ preprint ] [ published version ]

• K K Lin, "Entrainment and chaos in a pulse-driven Hodgkin-Huxley oscillator", SIAM J. Applied Dyn. Sys. 5 (2006) pp. 179--204
  
  [ preprint ] [ published version ]

• K K Lin and F Lu, "Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism", J. Computat. Phys. 424 (2021)
  
  [ preprint ] [ published version ]

• K K Lin and L-S Young, "Nonequilibrium steady states for certain Hamiltonian models", J. Stat. Phys. 139 (2010) pp. 630--657
  
  [ preprint ] [ published version ]

• P Balint, K K Lin, and L-S Young, "Ergodicity and energy distributions for some boundary driven integrable Hamiltonian chains", Commun. Math. Phys. 294 (2010) pp. 199--228
  
  [ preprint ] [ published version ]

• K K Lin and J Goodman, "Coupling control variates in dynamic Monte Carlo", J. Computat. Phys. 228 (2009) pp. 7127--7136
  
  [ preprint ] [ published version ]

• K K Lin and L-S Young, "Correlations in nonequilibrium steady-states of random-halves models", J. Stat. Phys. 128 (2007) pp. 607--639
  
  [ preprint ] [ published version ]

• A Leach, K K Lin, and M Morzfeld, "Symmetrized importance samplers for stochastic differential equations", CAMCoS 13 (2018) pp. 215--241
  
  [ published version ] [ preprint ] [ code ]

• J Goodman, K K Lin, and M Morzfeld, "Small-noise analysis and symmetrization of implicit Monte Carlo samplers", Commun. Pure Appl. Math. 69 (2016) pp. 1924--1951
  
  [ preprint ] [ published version ]

• G Hooker, K K Lin, and B Rogers, "Control theory and experimental design in diffusion processes", SIAM JUQ 3 (2015) pp. 234--264
  
  [ preprint ] [ published version ] [ code ]

• K K Lin and J Goodman, "Coupling control variates in dynamic Monte Carlo", J. Computat. Phys. 228 (2009) pp. 7127--7136
  
  [ preprint ] [ published version ]

• K K Lin, "Random perturbations of SRB measures and numerical studies of chaotic dynamics", LBNL Technical Report 53522 (2003)
  (PhD thesis in Mathematics)
  
  [ abstract ]

• K C A Wedgwood, K K Lin, R Thul, and S Coombes, "Phase-amplitude descriptions of neural oscillator models", J. Math. Neurosci. 3 (2013)
  
  [ preprint ] [ published version ]

• K K Lin, K C A Wedgwood, S Coombes, and L-S Young, "Limitations of perturbative techniques in the analysis of rhythms and oscillations", J. Math. Biol. 66 (2013) pp. 139--161
  
  [ preprint ] [ published version ]

• K K Lin and L-S Young, "Dynamics of periodically-kicked oscillators", Journal of Fixed Point Theory and Applications 7 (2010) pp. 291--312
  
  [ preprint ] [ published version ]

• K K Lin and L-S Young, "Shear-induced chaos", Nonlinearity 21 (2008) pp. 899--922
  This was one of Nonlinearity's "high profile articles of 2008"
  
  [ preprint ] [ published version ]

• K K Lin, "Entrainment and chaos in a pulse-driven Hodgkin-Huxley oscillator", SIAM J. Applied Dyn. Sys. 5 (2006) pp. 179--204
  
  [ preprint ] [ published version ]

• K K Lin, "Convergence of invariant densities in the small-noise limit", Nonlinearity 18 (2005) pp. 659--683
  
  [ preprint ] [ published version ]

• L Guillopé, K K Lin, and M Zworski, "The Selberg zeta function for convex co-compact Schottky groups", Commun. Math. Phys. 245 (2004) pp. 149--176
  
  [ preprint ] [ published version ]

• K K Lin, "Numerical study of quantum resonances in chaotic scattering", J. Computat. Phys. 176 (2002) pp. 295--329
  
  [ preprint ] [ published version ]

• K K Lin and M Zworski, "Quantum resonances in chaotic scattering", Chem. Phys. Lett. 355 (2002) pp. 201--205
  
  [ preprint ] [ published version ]

• K K Lin, "Random perturbations of SRB measures and numerical studies of chaotic dynamics", LBNL Technical Report 53522 (2003)
  (PhD thesis in Mathematics)
  
  [ abstract ]

• K K Lin, "Coordinate-independent computations on differential equations", MIT AI Tech Memo 1631 (1997)
  (MEng thesis in Computer Science and Engineering)
  
  [ abstract ] [ code ]

The work described above have been supported by the National Science Foundation, the Fannie and John Hertz Foundation, the LBL Math Department and NERSC, and Project MAC.