1. A programmable, ferroelectric polymer neural network wherein each synapse (Mij) of the network comprises a memory element, made of a thin layer material or other ferroelectric materials, to memorize a synaptic coefficient a.sub.ij, in the form of an electrical charge q.sub.ij, and wherein the memory elements a.sub.ij of one and the same column j are connected together by one and the same conductor to enable the flow of all the electrical charges generated by pyroelectrical effect at each memory element of the network, when any part of the entire memory (Mij) of the column j is heated.