[PDF][PDF] Shaving Logs via Large Sieve Inequality: Faster Algorithms for Sparse Convolution and More

C Jin, Y Xu - Proceedings of the 56th Annual ACM Symposium on …, 2024 - dl.acm.org
In sparse convolution-type problems, a common technique is to hash the input integers
modulo a random prime p∈[Q/2, Q] for some parameter Q, which reduces the range of the …

Sumsets, 3SUM, Subset Sum: Now for Real!

N Fischer - arXiv preprint arXiv:2410.21953, 2024 - arxiv.org
We study a broad class of algorithmic problems with an" additive flavor" such as computing
sumsets, 3SUM, Subset Sum and geometric pattern matching. Our starting point is that these …

Longest common extensions with wildcards: Trade-off and applications

G Bathie, P Charalampopoulos… - arXiv preprint arXiv …, 2024 - arxiv.org
We study the Longest Common Extension (LCE) problem in a string containing wildcards.
Wildcards (also called" don't cares" or" holes") are special characters that match any other …