Zobrazeno 1 - 10
of 6 335
pro vyhledávání: '"Lopez, 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
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
Autor:
Zhang, Yijun, Yin, Ziyi, Lopez, Oscar, Siahkoohi, Ali, Louboutin, Mathias, Kumar, Rajiv, Herrmann, Felix J.
Modern-day reservoir management and monitoring of geological carbon storage increasingly call for costly time-lapse seismic data collection. In this letter, we show how techniques from graph theory can be used to optimize acquisition geometries for l
Externí odkaz:
http://arxiv.org/abs/2302.01534
Autor:
López, Oscar, Yılmaz, Özgür
Many empirical studies suggest that samples of continuous-time signals taken at locations randomly deviated from an equispaced grid (i.e., off-the-grid) can benefit signal acquisition, e.g., undersampling and anti-aliasing. However, explicit statemen
Externí odkaz:
http://arxiv.org/abs/2211.02719
Autor:
López, Oscar
Recent work in the matrix completion literature has shown that prior knowledge of a matrix's row and column spaces can be successfully incorporated into reconstruction programs to substantially benefit matrix recovery. This paper proposes a novel met
Externí odkaz:
http://arxiv.org/abs/2203.16446