37, currently, is the matrix multiplication exponent. We also show that this algorithm is worst-case optimal for fixed d. Next, we generalize the pair-wise algorithm to r>2 convex polytopes in Rd. The time and space complexities of the r-summands generalized algorithm are O(dωmin{MN,r...
You might think the second approach would run more slowly, because a binary search requires the input be sorted. That’s true. But notice that the programmer of the antipattern forgot to break out of the loop when finding the match, so that code’s efficiency is terrible anyway. Reinventing...
Automated analysis to obtain quantitative performance characteristics of programs is a key feature of static analysis. Obtaining precise worst-case complexity bounds is a topic of both wide theoretical and practical interest. The manual proof of such bounds can be cumbersome as well as require mathemat...
supporting both addition and deletion of elements, achieving one-sided output and low worst-case complexity in both computation and communication. All of our protocols are secure in the semi-honest model, hence one-sided UPSI is a stronger functionality. In the setting...
Biodiversity-related impacts at wind energy facilities have increasingly become a cause of conservation concern, central issue being the collision of birds. Utilizing spatial information of their carcass detections at wind turbines (WTs), we quantified the detections in relation to the metric distances ...
we could achieve optimal communication complexity. Note that this high-level approach is “purely disjunctive” in the sense that it does not rely on transforming the query into another form as done in OXT. The avoidance of SNF in particular is what enables us to achieve worst-case efficiency...
We demonstrate that our algorithm significantly outperforms the brute-force technique in terms of speed and efficiency. Keywords: wiretap channel; generalized Hamming weights; dimension/length profile; nested linear codes; equivocation; optimal secrecy code; two-edge LDPC codes; dual codes...