Almost perfect nonlinear (APN) functions play a pivotal role in cryptography, particularly in securing symmetric key algorithms against differential attacks. Their algebraic properties, including ...

We consider a nonlinear function-on-function additive regression model with multiple functional predictors. The forms of the nonlinear functions are unspecified, and offer great flexibility to model ...

A new publication from Opto-Electronic Science; DOI 10.29026/oes.2022.210007 overviews functional nonlinear optical nanoparticles synthesized by laser ablation. Nonlinear optics is an important ...

Activation functions play a critical role in AI inference, helping to ferret out nonlinear behaviors in AI models. This makes them an integral part of any neural network, but nonlinear functions can ...

In this work, we adopt a new approach to the construction of a global theory of algebras of generalized functions on manifolds based on the concept of smoothing operators. This produces a ...

LaFollette, Kyle J., Janni Yuval, Roey Schurr, David Melnikoff, and Amit Goldenberg. "Data-driven Equation Discovery Reveals Nonlinear Reinforcement Learning in Humans." Proceedings of the National ...

Understanding the brain's functional architecture is a fundamental challenge in neuroscience. The connections between neurons ultimately dictate how information is processed, transmitted, stored, and ...

Understanding the brain's functional architecture is a fundamental challenge in neuroscience. The connections between neurons ...