We present a near-optimal reduction from approximately counting the cardinality of a discrete set to approximately sampling elements of the set. An important application of our wo...
We present a new type of monotone submodular functions: multi-peak submodular functions. Roughly speaking, given a family of sets F, we construct a monotone submodular function f ...
MINLP problems are hard constrained optimization problems, with nonlinear constraints and mixed discrete continuous variables. They can be solved using a Branch-and-Bound scheme c...
- The Traveling Salesman Problem (TSP) is perhaps the most famous optimization problem in the set NP-hard. Many problems that are natural applications in computer science and engin...
Association studies in populations relate genomic variation among individuals with medical condition. Key to these studies is the development of efficient and affordable genotypin...