Zobrazeno 1 - 10
of 2 057
pro vyhledávání: '"López, Oscar"'
Autor:
Gomez-Leos, Alejandro, López, Oscar
We revisit the sample and computational complexity of completing a rank-1 tensor in $\otimes_{i=1}^{N} \mathbb{R}^{d}$, given a uniformly sampled subset of its entries. We present a characterization of the problem (i.e. nonzero entries) which admits
Externí odkaz:
http://arxiv.org/abs/2408.05431
We introduce a new tensor norm, the average spectrum norm, to study sample complexity of tensor completion problems based on the canonical polyadic decomposition (CPD). Properties of the average spectrum norm and its dual norm are investigated, demon
Externí odkaz:
http://arxiv.org/abs/2404.10085
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, vol. 26:1, Permutation Patterns 2023, Special issues (November 4, 2024) dmtcs:12629
We consider the class $S_n(1324)$ of permutations of size $n$ that avoid the pattern 1324 and examine the subset $S_n^{a\prec n}(1324)$ of elements for which $a\prec n\prec [a-1]$, $a\ge 1$. This notation means that, when written in one line notation
Externí odkaz:
http://arxiv.org/abs/2311.18227
Autor:
Zhang, Yijun, Yin, Ziyi, López, Oscar, Siahkoohi, Ali, Louboutin, Mathias, Herrmann, Felix J.
The massive cost of 3D acquisition calls for methods to reduce the number of receivers by designing optimal receiver sampling masks. Recent studies on 2D seismic showed that maximizing the spectral gap of the subsampling mask leads to better wavefiel
Externí odkaz:
http://arxiv.org/abs/2311.02298
Tensor completion is a core machine learning algorithm used in recommender systems and other domains with missing data. While the matrix case is well-understood, theoretical results for tensor problems are limited, particularly when the sampling patt
Externí odkaz:
http://arxiv.org/abs/2306.06262
Autor:
Santos, Sara Oliveira, Tack, Nils, Su, Yunxing, Cuenca-Jimenez, Francisco, Morales-Lopez, Oscar, Gomez-Valdez, P. Antonio, Wilhelmus, Monica M.
Metachronal locomotion is a widespread swimming mode used by aquatic swarming organisms to achieve performance and maneuverability in the intermediate Reynolds number regime. Our understanding of the mechanisms driving these abilities is limited due
Externí odkaz:
http://arxiv.org/abs/2303.00805