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2020 | OriginalPaper | Buchkapitel

Recurrent Neural Network Learning of Performance and Intrinsic Population Dynamics from Sparse Neural Data

verfasst von : Alessandro Salatiello, Martin A. Giese

Erschienen in: Artificial Neural Networks and Machine Learning – ICANN 2020

Verlag: Springer International Publishing

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Abstract

Recurrent Neural Networks (RNNs) are popular models of brain function. The typical training strategy is to adjust their input-output behavior so that it matches that of the biological circuit of interest. Even though this strategy ensures that the biological and artificial networks perform the same computational task, it does not guarantee that their internal activity dynamics match. This suggests that the trained RNNs might end up performing the task employing a different internal computational mechanism. In this work, we introduce a novel training strategy that allows learning not only the input-output behavior of an RNN but also its internal network dynamics. We test the proposed method by training an RNN to simultaneously reproduce internal dynamics and output signals of a physiologically-inspired neural model of motor cortical and muscle activity dynamics. Remarkably, we show that the reproduction of the internal dynamics is successful even when the training algorithm relies on the activities of a small subset of neurons sampled from the biological network. Furthermore, we show that training the RNNs with this method significantly improves their generalization performance. Overall, our results suggest that the proposed method is suitable for building powerful functional RNN models, which automatically capture important computational properties of the biological circuit of interest from sparse neural recordings.

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Fußnoten
1
These input terms are strong enough to suppress chaotic activity in the network [5].
 
2
Following [5] we included an L2 regularization term for \(\mathbf{J}\).
 
3
To ensure a sufficiently strong effect on the embedder network, the hint signals were scaled by a factor of 5. In addition, the final 110 samples of such signals were replaced by a smooth decay to zero, modeled by spline interpolation. This ensured that the activities go back to zero at the end of the movement phase.
 
4
We restricted our analysis to the first five singular vector canonical variables, which on average, captured \({>}92\%\) of the original data variance.
 
Literatur
1.
Zurück zum Zitat Chaudhuri, R., Gercek, B., Pandey, B., Peyrache, A., Fiete, I.: The intrinsic attractor manifold and population dynamics of a canonical cognitive circuit across waking and sleep. Nat. Neurosci. 22(9), 1512–1520 (2019)CrossRef Chaudhuri, R., Gercek, B., Pandey, B., Peyrache, A., Fiete, I.: The intrinsic attractor manifold and population dynamics of a canonical cognitive circuit across waking and sleep. Nat. Neurosci. 22(9), 1512–1520 (2019)CrossRef
3.
Zurück zum Zitat Churchland, M.M., et al.: Stimulus onset quenches neural variability: a widespread cortical phenomenon. Nat. Neurosci. 13(3), 369 (2010)CrossRef Churchland, M.M., et al.: Stimulus onset quenches neural variability: a widespread cortical phenomenon. Nat. Neurosci. 13(3), 369 (2010)CrossRef
4.
Zurück zum Zitat Dayan, P., Abbott, L.F.: Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems. The MIT Press, Cambridge (2001)MATH Dayan, P., Abbott, L.F.: Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems. The MIT Press, Cambridge (2001)MATH
5.
Zurück zum Zitat DePasquale, B., Cueva, C.J., Rajan, K., Escola, G.S., Abbott, L.: Full-force: atarget-based method for training recurrent networks. PLoS ONE 13(2) (2018) DePasquale, B., Cueva, C.J., Rajan, K., Escola, G.S., Abbott, L.: Full-force: atarget-based method for training recurrent networks. PLoS ONE 13(2) (2018)
6.
Zurück zum Zitat Doya, K.: Universality of fully-connected recurrent neural networks. In: Proceedings of 1992 IEEE International Symposium on Circuits and Systems, pp. 2777–2780 (1992) Doya, K.: Universality of fully-connected recurrent neural networks. In: Proceedings of 1992 IEEE International Symposium on Circuits and Systems, pp. 2777–2780 (1992)
7.
Zurück zum Zitat Flash, T., Hochner, B.: Motor primitives in vertebrates and invertebrates. Curr. Opinion Neurobiol. 15(6), 660–666 (2005)CrossRef Flash, T., Hochner, B.: Motor primitives in vertebrates and invertebrates. Curr. Opinion Neurobiol. 15(6), 660–666 (2005)CrossRef
8.
Zurück zum Zitat Georgopoulos, A.P., Kalaska, J.F., Massey, J.T.: Spatial trajectories and reaction times of aimed movements: effects of practice, uncertainty, and change in target location. J. Neurophysiol. 46(4), 725–743 (1981)CrossRef Georgopoulos, A.P., Kalaska, J.F., Massey, J.T.: Spatial trajectories and reaction times of aimed movements: effects of practice, uncertainty, and change in target location. J. Neurophysiol. 46(4), 725–743 (1981)CrossRef
9.
Zurück zum Zitat Hennequin, G., Vogels, T.P., Gerstner, W.: Optimal control of transient dynamics in balanced networks supports generation of complex movements. Neuron 82(6), 1394–1406 (2014)CrossRef Hennequin, G., Vogels, T.P., Gerstner, W.: Optimal control of transient dynamics in balanced networks supports generation of complex movements. Neuron 82(6), 1394–1406 (2014)CrossRef
10.
Zurück zum Zitat Kim, C.M., Chow, C.C.: Learning recurrent dynamics in spiking networks. eLife 7, e37124 (2018) Kim, C.M., Chow, C.C.: Learning recurrent dynamics in spiking networks. eLife 7, e37124 (2018)
11.
Zurück zum Zitat Machens, C.K., Romo, R., Brody, C.D.: Flexible control of mutual inhibition: a neural model of two-interval discrimination. Science 307(5712), 1121–1124 (2005)CrossRef Machens, C.K., Romo, R., Brody, C.D.: Flexible control of mutual inhibition: a neural model of two-interval discrimination. Science 307(5712), 1121–1124 (2005)CrossRef
12.
Zurück zum Zitat Mante, V., Sussillo, D., Shenoy, K.V., Newsome, W.T.: Context-dependent computation by recurrent dynamics in prefrontal cortex. Nature 503(7474), 78–84 (2013)CrossRef Mante, V., Sussillo, D., Shenoy, K.V., Newsome, W.T.: Context-dependent computation by recurrent dynamics in prefrontal cortex. Nature 503(7474), 78–84 (2013)CrossRef
13.
Zurück zum Zitat Matsuoka, K.: Mechanisms of frequency and pattern control in the neural rhythm generators. Biol. Cybern. 56(5–6), 345–353 (1987)CrossRef Matsuoka, K.: Mechanisms of frequency and pattern control in the neural rhythm generators. Biol. Cybern. 56(5–6), 345–353 (1987)CrossRef
14.
Zurück zum Zitat Raghu, M., Gilmer, J., Yosinski, J., Sohl-Dickstein, J.: SVCCA: singular vector canonical correlation analysis for deep learning dynamics and interpretability. In: Advances in Neural Information Processing Systems, pp. 6076–6085 (2017) Raghu, M., Gilmer, J., Yosinski, J., Sohl-Dickstein, J.: SVCCA: singular vector canonical correlation analysis for deep learning dynamics and interpretability. In: Advances in Neural Information Processing Systems, pp. 6076–6085 (2017)
15.
Zurück zum Zitat Saxena, S., Cunningham, J.P.: Towards the neural population doctrine. Curr. Opinion Neurobiol. 55, 103–111 (2019)CrossRef Saxena, S., Cunningham, J.P.: Towards the neural population doctrine. Curr. Opinion Neurobiol. 55, 103–111 (2019)CrossRef
16.
Zurück zum Zitat Schoner, G., Kelso, J.: Dynamic pattern generation in behavioral and neural systems. Science 239(4847), 1513–1520 (1988)CrossRef Schoner, G., Kelso, J.: Dynamic pattern generation in behavioral and neural systems. Science 239(4847), 1513–1520 (1988)CrossRef
17.
Zurück zum Zitat Shenoy, K.V., Sahani, M., Churchland, M.M.: Cortical control of arm movements: a dynamical systems perspective. Ann. Rev. Neurosci. 36, 337–359 (2013)CrossRef Shenoy, K.V., Sahani, M., Churchland, M.M.: Cortical control of arm movements: a dynamical systems perspective. Ann. Rev. Neurosci. 36, 337–359 (2013)CrossRef
18.
Zurück zum Zitat Stroud, J.P., Porter, M.A., Hennequin, G., Vogels, T.P.: Motor primitives in space and time via targeted gain modulation in cortical networks. Nat. Neurosci. 21(12), 1774–1783 (2018)CrossRef Stroud, J.P., Porter, M.A., Hennequin, G., Vogels, T.P.: Motor primitives in space and time via targeted gain modulation in cortical networks. Nat. Neurosci. 21(12), 1774–1783 (2018)CrossRef
19.
Zurück zum Zitat Sussillo, D.: Neural circuits as computational dynamical systems. Curr. Opinion neurobiol. 25, 156–163 (2014)CrossRef Sussillo, D.: Neural circuits as computational dynamical systems. Curr. Opinion neurobiol. 25, 156–163 (2014)CrossRef
20.
Zurück zum Zitat Sussillo, D., Barak, O.: Opening the black box: low-dimensional dynamics in high-dimensional recurrent neural networks. Neural Comput. 25(3), 626–649 (2013)MathSciNetCrossRef Sussillo, D., Barak, O.: Opening the black box: low-dimensional dynamics in high-dimensional recurrent neural networks. Neural Comput. 25(3), 626–649 (2013)MathSciNetCrossRef
21.
Zurück zum Zitat Wang, J., Narain, D., Hosseini, E.A., Jazayeri, M.: Flexible timing by temporal scaling of cortical responses. Nat. Neurosci. 21(1), 102–110 (2018)CrossRef Wang, J., Narain, D., Hosseini, E.A., Jazayeri, M.: Flexible timing by temporal scaling of cortical responses. Nat. Neurosci. 21(1), 102–110 (2018)CrossRef
22.
Zurück zum Zitat Williamson, R.C., et al.: Scaling properties of dimensionality reduction for neural populations and network models. PLoS Comput. Biol. 12, e1005141 (2016)CrossRef Williamson, R.C., et al.: Scaling properties of dimensionality reduction for neural populations and network models. PLoS Comput. Biol. 12, e1005141 (2016)CrossRef
23.
Zurück zum Zitat Williamson, R.C., Doiron, B., Smith, M.A., Byron, M.Y.: Bridging large-scale neuronal recordings and large-scale network models using dimensionality reduction. Curr. Opinion Neurobiol. 55, 40–47 (2019)CrossRef Williamson, R.C., Doiron, B., Smith, M.A., Byron, M.Y.: Bridging large-scale neuronal recordings and large-scale network models using dimensionality reduction. Curr. Opinion Neurobiol. 55, 40–47 (2019)CrossRef
Metadaten
Titel
Recurrent Neural Network Learning of Performance and Intrinsic Population Dynamics from Sparse Neural Data
verfasst von
Alessandro Salatiello
Martin A. Giese
Copyright-Jahr
2020
DOI
https://doi.org/10.1007/978-3-030-61609-0_69