Algorithmic complexity and information theory are foundational disciplines that intersect to elucidate how data is structured, transmitted and computed. At its core, algorithmic complexity seeks to ...

Part of “Complexity Theory,” a column on the tangled questions of our technological age. “Addressing algorithmic bias is like hygiene,” she told me. “You don’t brush once, you don’t floss once, you do ...

Algorithmic information theory provides a rigorous framework for quantifying the inherent complexity of data, most notably through the concept of Kolmogorov complexity. This theoretical underpinning ...

A solution to P vs NP could unlock countless computational problems—or keep them forever out of reach. 1. On Monday, July 19, 2021, in the middle of another strange pandemic summer, a leading computer ...

For decades, the graph isomorphism problem has held a special status within complexity theory. While thousands of other computational problems have meekly succumbed to categorization as either hard or ...

At first glance, the big news coming out of this summer’s conference on the theory of computing appeared to be something of a letdown. For more than 40 years, researchers had been trying to find a ...

The most widely used technique for finding the largest or smallest values of a math function turns out to be a fundamentally difficult computational problem. Many aspects of modern applied research ...