Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

Recently, Nakazawa et al. 15,16,17 have shown how the idea of orthogonal Hermite–Gaussian spatial modes can be converted into orthogonal time domain signals (see Fig. 1). In contrast to space domain ...

Understanding the mechanism of how neural networks learn features from data is a fundamental problem in machine learning. Our work explicitly connects the mechanism of neural feature learning to a ...

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...

Cancer is a heterogeneous disease with diverse pathogeneses, and clinical features that can develop in different tissues and cell types 1. A cancer subtype can be defined as a subcategory of specific ...

In multi-component flow and/or thermal flows, when the diffusion coefficient of the advection–diffusion equation is relatively small, the relaxation coefficient in the lattice Boltzmann method will be ...

The perfectly matched layer (PML) is one of the most popular absorbing boundary conditions for simulating seismic waves. In theory, the PML can absorb incident waves at any incident angle and any ...

In many dynamic economic settings, a decision maker finds it challenging to quantify the uncertainty or assess the potential for mistakes in models. We explore alternative ways of acknowledging these ...

As part of the Applied Category Theory seminar, we discussed an article commonly cited as an inspiration by many papers 1 taking a categorical approach to systems theory, The Behavioral Approach to ...