Abstract: Partitioning is a fundamental problem in diverse fields of study such as pattern recognition, parallel processing, and the design of VLSI circuits. Recently, node clustering or compaction ...

Abstract: The time-optimal trajectory planning problem involves minimizing the time required to follow a path defined in space, subject to kinematic and dynamic constraints. Here, we introduce a novel ...

The probabilistic bisection algorithm (PBA) solves a class of stochastic rootfinding problems in one dimension by successively updating a prior belief on the location of the root based on noisy ...

With the rapid development of quantum computers, researchers have shown quantum advantages in physics-oriented problems. Quantum algorithms tackling computational biology problems are still lacking.

The bisection method is the simplest of the root finding methods. When given this problem from scratch this is the method that most people come up with. We still have the question of how many times to ...