Right now, quantum computers are small and error-prone compared to where they’ll likely be in a few years. Even within those limitations, however, there have been regular claims that the hardware can ...

From greedy methods to dynamic programming, mastering algorithm design is about more than theory—it’s about crafting solutions that are efficient, scalable, and practical. Whether you’re preparing for ...

The traveling salesman problem is considered a prime example of a combinatorial optimization problem. Now a Berlin team led by theoretical physicist Prof. Dr. Jens Eisert of Freie Universität Berlin ...

Using an advanced Monte Carlo method, Caltech researchers found a way to tame the infinite complexity of Feynman diagrams and solve the long-standing polaron problem, unlocking deeper understanding of ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. The traveling salesperson problem is one of the oldest ...

A May 2024 Reuters Institute and University of Oxford survey, which included more than 12,000 people from six countries, found that 21% of respondents on average have used ChatGPT professionally. This ...

When the Clay Mathematics Institute put individual $1-million prize bounties on seven unsolved mathematical problems, they may have undervalued one entry—by a lot. If mathematicians were to resolve, ...

Shortest path algorithms like Dijkstra, BFS, and advanced approximations power everything from Google Maps to network routing. Understanding when and how to apply them can save time and resources in ...

What did you dream of doing when you were 16 years old? I wanted to drive a car and travel the world. But American mathematician Ray Solomonoff had more ambitious goals at that age. He wanted to find ...

More and more machine learning is applied to human behavior. Increasingly these algorithms suffer from a hidden—but serious—problem. It arises because they often predict one thing while hoping for ...