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cs.DS2025
Improving the Threshold for Finding Rank-1 Matrices in a Subspace
Jeshu Dastidar, Tait Weicht, Alexander S. Wein
We consider a basic computational task of finding planted rank-1 matrices in a linear subspace where $\dim(\mathcal…
cs.DS2024
Low-degree phase transitions for detecting a planted clique in sublinear time
Jay Mardia, Kabir Aladin Verchand, Alexander S. Wein
We consider the problem of detecting a planted clique of size in a random graph on vertices. When the size of the clique exceeds , polynomial-time algorithms f…
cs.DS2023
Time Lower Bounds for the Metropolis Process and Simulated Annealing
Zongchen Chen, Dan Mikulincer, Daniel Reichman +1
The Metropolis process (MP) and Simulated Annealing (SA) are stochastic local search heuristics that are often used in solving combinatorial optimization problems. Despite signific…