For centuries, scientists have attempted to identify and document analytical laws that
underlie physical phenomena in nature. Despite the prevalence of computing power, the …

All physical laws are described as mathematical relationships between state variables.
These variables give a complete and non-redundant description of the relevant system …

There is a popular belief in neuroscience that we are primarily data limited, and that
producing large, multimodal, and complex datasets will, with the help of advanced data …

Physics is a field of science that has traditionally used the scientific method to answer
questions about why natural phenomena occur and to make testable models that explain the …

Since at least Newton's laws of motion in the 17th century, scientists have recognized
experimental and theoretical science as the basic research paradigms for understanding …

We present a method for unsupervised learning of equations of motion for objects in raw and
optionally distorted unlabeled synthetic video (or, more generally, for discovering and …

Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scientific disciplines and a resurgence of …

The process of transforming observed data into predictive mathematical models of the
physical world has always been paramount in science and engineering. Although data is …

Abstract Structure and function go hand in hand. However, while a complex structure can be
relatively safely broken down into the minutest parts, and technology is now delving into …

The discovery of governing equations from scientific data has the potential to transform data-
rich fields that lack well-characterized quantitative descriptions. Advances in sparse …