Exact Spike Train Inference via L0 Optimization

An implementation of algorithms described in Jewell and Witten (2017) .

This package implements an algorithm for deconvolving calcium imaging data for a single neuron in order to estimate the times at which the neuron spikes.

This algorithm solves the optimization problems

AR(1) model

minimize_{c1,...,cT} 0.5 sum_{t=1}^T ( y_t - c_t )^2 + lambda sum_{t=2}^T 1_{c_t neq gamma c_{t-1} }

for the global optimum, where y_t is the observed fluorescence at the tth timepoint. We also solve the above problem with the constraint that c_t >= 0 (hardThreshold = T).

AR(1) with intercept

minimize_{c1,...,cT,b1,...,bT} 0.5 sum_{t=1}^T (y_t - c_t - b_t)^2 + lambda sum_{t=2}^T 1_{c_t neq gamma c_{t-1}, b_t neq b_{t-1} }

where the indicator variable 1_{(A,B)} equals 1 if the event A cup B holds, and equals zero otherwise.


In R, if devtools is installed type



Once installed type



This package can be called from Python using the py2 package. To install LZeroSpikeInference and rpy2 for use in Python first

  1. Install R (for example apt-get install r-base)

and then from within R install this package (as above). Then pip install rpy2

  1. pip install --user rpy2

The following example illustrates use of the LZeroSpikeInference package from python

from numpy import array
import rpy2.robjects.packages
lzsi = rpy2.robjects.packages.importr("LZeroSpikeInference")
d = lzsi.simulateAR1(n = 500, gam = 0.998, poisMean = 0.009, sd = 0.15, seed = 8)
fit = lzsi.estimateSpikes(d[1]**{'gam':0.998, 'lambda':8, 'type':"ar1"})
spikes = array(fit[0])
fittedValues = array(fit[1])

Thanks to Luke Campagnola for suggesting this approach!


See Jewell and Witten, Exact Spike Train Inference Via L0 Optimization (2017)


Reference manual

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1.0.3 by Sean Jewell, a year ago

Browse source code at https://github.com/cran/LZeroSpikeInference

Authors: Sean Jewell [aut, cre]

Documentation:   PDF Manual  

GPL-3 license

Imports graphics, stats

Suggests testthat

See at CRAN