Multi-response deconvolution of auditory evoked potentials in a reduced representation space Torre Vega, Ángel De La Sánchez, Inmaculada Ruiz Álvarez, Isaac Manuel Segura Luna, José Carlos Valderrama Valenzuela, Joaquín Tomás Muller, Nicolas Vargas, Jose L The estimation of auditory evoked potentials requires deconvolution when the duration of the responses to be recovered exceeds the inter-stimulus interval. Based on least squares deconvolution, in this article we extend the procedure to the case of a multi-response convolutional model, that is, a model in which different categories of stimulus are expected to evoke different responses. The computational cost of the multi-response deconvolution significantly increases with the number of responses to be deconvolved, which restricts its applicability in practical situations. In order to alleviate this restriction, we propose to perform the multi-response deconvolution in a reduced representation space associated with a latency-dependent filtering of auditory responses, which provides a significant dimensionality reduction. We demonstrate the practical viability of the multi-response deconvolution with auditory responses evoked by clicks presented at different levels and categorized according to their stimulation level. The multi-response deconvolution applied in a reduced representation space provides the least squares estimation of the responses with a reasonable computational load. matlab/Octave code implementing the proposed procedure is included as supplementary material. 2024-07-17T11:33:36Z 2024-07-17T11:33:36Z 2024-06-05 journal article de la Torre et al. 155, 3639–3653 (2024). [https://doi.org/10.1121/10.0026228] https://hdl.handle.net/10481/93192 10.1121/10.0026228 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional AIP publishing