Sorting with predictions

X Bai, C Coester - Advances in Neural Information …, 2023 - proceedings.neurips.cc
We explore the fundamental problem of sorting through the lens of learning-augmented
algorithms, where algorithms can leverage possibly erroneous predictions to improve their …

Noisy Computing of the OR and MAX Functions

B Zhu, Z Wang, N Ghaddar, J Jiao… - IEEE Journal on …, 2024 - ieeexplore.ieee.org
We consider the problem of computing a function of n variables using noisy queries, where
each query is incorrect with some fixed and known probability. Specifically, we consider the …

Noisy sorting capacity

Z Wang, N Ghaddar, B Zhu… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Sorting is the task of ordering n elements using pairwise comparisons. It is well known that
comparisons are both necessary and sufficient when the outcomes of the comparisons are …

Optimizing Algorithms from Pairwise User Preferences

L Keselman, K Shih, M Hebert… - 2023 IEEE/RSJ …, 2023 - ieeexplore.ieee.org
Typical black-box optimization approaches in robotics focus on learning from metric scores.
However, that is not always possible, as not all developers have ground truth available …

Noisy computing of the threshold function

Z Wang, N Ghaddar, B Zhu, L Wang - arxiv preprint arxiv:2403.07227, 2024 - arxiv.org
Let $\mathsf {TH} _k $ denote the $ k $-out-of-$ n $ threshold function: given $ n $ input
Boolean variables, the output is $1 $ if and only if at least $ k $ of the inputs are $1 $. We …

Sharp Noisy Binary Search with Monotonic Probabilities

L Gretta, E Price - arxiv preprint arxiv:2311.00840, 2023 - arxiv.org
We revisit the noisy binary search model of Karp and Kleinberg, in which we have $ n $
coins with unknown probabilities $ p_i $ that we can flip. The coins are sorted by increasing …

Variable-length insertion-based noisy sorting

Z Wang, N Ghaddar, B Zhu… - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
In this work, we study the problem of sorting n elements with pairwise comparisons under
the presence of observation noise. We consider variable-length algorithms with a random …

Noisy searching: simple, fast and correct

D Dereniowski, A Łukasiewicz, P Uznański - arxiv preprint arxiv …, 2021 - arxiv.org
This work considers the problem of the noisy binary search in a sorted array. The noise is
modeled by a parameter $ p $ that dictates that a comparison can be incorrect with …

On the Optimal Bounds for Noisy Computing

B Zhu, Z Wang, N Ghaddar, J Jiao… - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
We revisit the problem of computing with noisy information considered in Feige et al.[1],
which includes computing the OR function from noisy queries, and computing the MAX …

Statistical inference of a ranked community in a directed graph

D Kunisky, DA Spielman, AS Wein, X Yu - arxiv preprint arxiv:2411.19885, 2024 - arxiv.org
We study the problem of detecting or recovering a planted ranked subgraph from a directed
graph, an analog for directed graphs of the well-studied planted dense subgraph model. We …