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March 2026

Volume 43 | Issue 2

Issue Title
March 2026

The Nasreddin Hodja Principle and the Mathematics of Deep Learning [From the Editor]

You may have noticed that our magazine covers have been venturing beyond the customary look of a technical publication. I hope this shift has been enjoyable for you to see. I confess that I’ve been enjoying it myself, particularly the process of selecting the images and shaping the final composition. It has been an engaging experience exploring the possibilities and connections between the ideas we wish to highlight and images drawn from the natural world.

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Guest Editorial for Part 1 of the Special Issue on the Mathematics of Deep Learning [From the Guest Editors]

Signal processing (SP), in its essence, aims to extract useful information out of noisy and incomplete physical measurements. Classically, one might exploit known mathematical models of these measured signals, e.g., harmonics of a musical instrument or physics of a medical imaging device. Modern deep learning (DL) shares a similar goal, namely, to extract useful information out of complex high-dimensional observations, but in contrast, it replaces known physical models with vast datasets, signaling a transition from model-based to data-based algorithms.

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