Linearities, Non-Linearities and Phase Transitions in Loss Diffusion Processes in Financial Networks

Dispersion-induced non-linearities in semiconductors

Incorporating Lclv Non-linearities in Optical Multilayer Neural Networks

Sigmoid-like activation functions as available in analog hardware diier in various ways from the standard sigmoidal function as they are usually asymmetric, truncated, and have a non-standard gain. We present an adaptation of the backpropagation learning rule to compensate for these non-standard sigmoids. This method is applied to multilayer neural networks with all-optical forward propagation ...

Predictable non-linearities in U.S. inflation

We expand Nakamura’s (2005) neural network based inflation forecasting experiment to an alternative non-linear model; a Markov switching autoregressive (MS-AR) model. The two non-linear models perform approximately on par and outperform the linear autoregressive model on short forecast horizons of one and two quarters. Furthermore, the MS-AR model is the best performer on longer horizons of thr...

Non-linearities in Theory-of-Mind Development

Research on Theory-of-Mind (ToM) has mainly focused on ages of core ToM development. This article follows a quantitative approach focusing on the level of ToM understanding on a measurement scale, the ToM Storybooks, in 324 typically developing children between 3 and 11 years of age. It deals with the eventual occurrence of developmental non-linearities in ToM functioning, using smoothing techn...

Probabilistic Linearities in Des

This paper examines the Data Encryption Standard (DES) for linear relations that hold on a probabilistic basis. The S-boxes are shown to possess parity relations that hold with a much higher probability than would be expected of random S-boxes, but no method for exploiting this property in cryptanalysis has been found. It is also shown that each S-box can be modeled by an aane mapping with a pr...