This course covers basic algorithm design techniques such as divide and conquer, dynamic programming, and greedy algorithms. It concludes with a brief introduction to intractability (NP-completeness) ...

Dynamic programming (DP) algorithms have become indispensable in computational biology, addressing problems that range from sequence alignment and phylogenetic inference to RNA secondary structure ...

We present an Approximate Dynamic Programming (ADP) approach for the multidimensional knapsack problem (MKP). We approximate the value function (a) using parametric and nonparametric methods and (b) ...

In this paper we develop a discretized version of the dynamic programming algorithm and study its convergence and stability properties. We show that the computed value function converges quadratically ...

After a mathematics win in July, Gemini 2.5 Deep Think has now scored a gold-medal level performance in competitive coding.

With new DPX instructions, the NVIDIA Hopper GPU architecture introduced today at GTC will speed dynamic programming — a problem-solving approach utilized in algorithms for genomics, quantum computing ...