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ABSTRACT: Truncated singular value decomposition (TSVD) and Golub-Kahan diagonalization are two elementary techniques for solving a least squares problem from a linear discrete ill-posed problems. For ...

ABSTRACT: Intracranial hemorrhage (ICH) is a critical subtype of stroke that arises from bleeding within the brain and often leads to severe neurological damage or death if not diagnosed at an early ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

Researchers have successfully used a quantum algorithm to solve a complex century-old mathematical problem long considered impossible for even the most powerful conventional supercomputers. The ...

If you’ve ever shuffled a deck of playing cards, you’ve most likely created a unique deck. That is, you’re probably the only person who has ever arranged the cards in precisely that order. Although ...

Here's the corrected and polished version: Implementation of randomized greedy algorithms for solving the Knapsack Problem and Traveling Salesman Problem in C++. Educational project demonstrating ...

If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle the easiest pieces first. But this kind of sorting has a cost.

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Abstract: Graph matching is a widely studied and applied field, with Graph Edit Distance (GED) serving as a fundamental metric for evaluating the similarity between graphs. As an NP-hard problem in ...

The difficulties of algorithmic dynamics in highly nonconvex landscapes are central in several research areas, from hard combinatorial optimization to machine learning. However, it is unclear why and ...