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MIMO signal model and MISO memory decoding model. The MIMO signal model predicts the output spatio-temporal patterns of spikes based on the ongoing input spatio-temporal patterns of spikes. The MISO memory decoding model predicts the memory (behavioral) events based on the input or output spatio-temporal patterns of spikes.

MIMO signal model and MISO memory decoding model. The MIMO signal model predicts the output spatio-temporal patterns of spikes based on the ongoing input spatio-temporal patterns of spikes. The MISO memory decoding model predicts the memory (behavioral) events based on the input or output spatio-temporal patterns of spikes.

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To build a cognitive prosthesis that can replace the memory function of the hippocampus, it is essential to model the input-output function of the damaged hippocampal region, so the prosthetic device can stimulate the downstream hippocampal region, e.g., CA1, with the output signal, e.g., CA1 spike trains, predicted from the ongoing input signal, e...

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... addition to ask the question, "What should the output signal be?" We further ask the ques- tion, "What do the signals mean?" Specifically, we combine our previously developed MIMO signal model ( Song et al., 2007Song et al., , 2009aSong et al., , 2013, which predicts the output signal based on the input signal, with an additional memory decoding model that relates the input and/or output signals to the behaviors (memories) of the animal (Figure 2). The MIMO signal model is essentially a time-series regression model non-linear dynamically mapping the multiple output (CA1) signals to the multiple input (CA3) signals. ...
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... MIMO signal model of input-output spike train transforma- tion takes the form of the sparse generalized Laguerre-Volterra model (SGLVM) we previously developed (Song et al., 2009a,b, 2013). In this approach, a MIMO model is a concatenation of a series of MISO models (not to be confused with the MISO classification model), that each can be considered a spiking neu- ron model ( Song et al., 2006Song et al., , 2007 (Figure 2). In this study, each MISO model consists of (a) MISO second-order Volterra kernels k transforming the input spike trains x to the synaptic potential u, (b) a Gaussian noise term ε capturing the stochastic properties of spike generation, (c) a threshold θ for generat- ing output spikes y, (e) an adder generating the pre-threshold membrane potential w, and (d) a single-input, single-output first- order Volterra kernel h transforming the preceding output spikes to the spike-triggered feedback after-potential a. ...
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... this approach, the feature space is defined as a set of B-spline basis functions for each neuron (input and/or output neurons depending on the application). The classifier is essentially the logistic regression (Figure 2). B-splines are piecewise polynomials with smooth transitions between the adjacent pieces at a set of interior knot points. ...
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... resulting SGLVM non-linear dynamically predicts the CA1 spikes based on the ongoing and past (within the memory window) CA3 spikes ( Song et al., 2007Song et al., , 2009aSong and Berger, 2010). Results show that in both cases (Figures 6, 7, row 2 and 4), the MIMO signal model can accurately predict the CA1 spatio-temporal patterns at both the single trial level (Figures 6, 7, column 1-4) and the overall level (Figures 6, 7, column 5). Importantly, a single set of the model coefficients are used for both the left and right trials. ...

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... The MDM model therefore allowed the creation of these static stimulation patterns outside of a stimulation session, while the MIMO model would be run during a session to generate trial specific stimulation patterns live. Briefly, B-spline basis functions are used to extract memory features from spatio-temporal patterns of spikes (Song et al., , 2014. B-splines are piecewise polynomial functions with smooth transitions between adjacent pieces at a set of interior knot points, where the number of knots determines the number of B-splines. ...
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