[Verse 1] Two compartments in one cell, apical up high Basal down below where the dendrites multiply Model the pyramidal neuron's dual design Proximal learns local, distal reads the signs Compartmental voltage separated by resistance Teaching through gradients with elegant persistence [Chorus] Apical-basal mismatch shows the error way Burst-multiplexing codes what neurons really say Dendrite segregation makes the learning flow Cortical columns compute what we need to know [Verse 2] Derive the magic moment when the signals align Backprop error equals mismatch by design When distal feedback matches proximal drive The learning rule emerges, mathematics come alive Context from above meets the data from below Biological gradients make the knowledge grow [Chorus] Apical-basal mismatch shows the error way Burst-multiplexing codes what neurons really say Dendrite segregation makes the learning flow Cortical columns compute what we need to know [Verse 3] Burst-rate resolution scales the channel wide Information capacity climbing with each stride Temporal precision in the spike-train dance Higher burst rates give more communication chance Multiplexed messages in the firing code Neural bandwidth expanding down the processing road [Verse 4] Layer five pyramidal cells with apical crowns Reaching to layer one where feedback comes around Thalamic loops and cortical cascades Information highways through the neural blockades Calcium spikes in the dendritic tree Nonlinear dynamics setting signals free [Bridge] Small task demonstration, watch the learning curve Two-compartment model showing what we observe Gradient descent emerging from the cellular math Distributed computation on the neural path [Chorus] Apical-basal mismatch shows the error way Burst-multiplexing codes what neurons really say Dendrite segregation makes the learning flow Cortical columns compute what we need to know [Outro] From pyramidal cells to computational might Dendrite segregation makes the learning right Burst codes and gradients in the cortical maze Neural mathematics in the learning phase [Final Chorus] Apical-basal mismatch shows the error way Burst-multiplexing codes what neurons really say Dendrite segregation makes the learning flow Cortical columns compute what we need to know
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