JSTOR Daily

The Log-Linear Return Approximation, Bubbles, and Predictability

We study in detail the log-linear return approximation introduced by Campbell and Shiller (1988a). First, we derive an upper bound for the mean approximation error, given stationarity of the log ...
Scientific American

A Natural Log: Our Innate Sense of Numbers is Logarithmic, Not Linear

We humans seem to be born with a number line in our head. But a May 30 study in Science suggests it may look less like an evenly segmented ruler and more like a logarithmic slide rule on which the ...
JSTOR Daily

An Efficient Algorithm for Discrete l

We describe an algorithm, based on the simplex method of linear programming, for solving the discrete l 1 approximation problem with any type of linear constraints. The numerical results reported here ...
IEEE

Piecewise-Linear Approximation of Self-Attention and Its Accuracy-Aware Training for Area-Efficient Vision Transformer Inference Accelerator

Abstract: Vision Transformer (ViT) is a neural network model specialized for image processing, introduced in 2021. The key feature of ViT is self-attention, which allows it to capture a wide range of ...
IEEE

PQA-FGS: Piecewise Quadratic Approximation with Fine-grained Segmentation for High-Precision Non-linear Computation

Abstract: Non-linear functions are fundamental mathematical computations in the realms of digital signal processing and artificial intelligence applications. Despite efforts to develop hardware ...