Papers published on a yearly basis
Papers
More filters
••
TL;DR: Under fairly general conditions, this paper proves the almost sure convergence of the complete algorithm due to Longstaff and Schwartz and determines the rate of convergence of approximation two and proves that its normalized error is asymptotically Gaussian.
Abstract: Recently, various authors proposed Monte-Carlo methods for the computation of American option prices, based on least squares regression. The purpose of this paper is to analyze an algorithm due to Longstaff and Schwartz. This algorithm involves two types of approximation. Approximation one: replace the conditional expectations in the dynamic programming principle by projections on a finite set of functions. Approximation two: use Monte-Carlo simulations and least squares regression to compute the value function of approximation one. Under fairly general conditions, we prove the almost sure convergence of the complete algorithm. We also determine the rate of convergence of approximation two and prove that its normalized error is asymptotically Gaussian.
359 citations
••
TL;DR: In this article, a concavity estimate is derived for interpolations between L 1 (M) mass densities on a Riemannian manifold, which sheds new light on the theorems of Prekopa, Leindler, Borell, Brascamp and Lieb.
Abstract: A concavity estimate is derived for interpolations between L
1(M) mass densities on a Riemannian manifold. The inequality sheds new light on the theorems of Prekopa, Leindler, Borell, Brascamp and Lieb that it generalizes from Euclidean space. Due to the curvature of the manifold, the new Riemannian versions of these theorems incorporate a volume distortion factor which can, however, be controlled via lower bounds on Ricci curvature. The method uses optimal mappings from mass transportation theory. Along the way, several new properties are established for optimal mass transport and interpolating maps on a Riemannian manifold.
354 citations
••
TL;DR: It is shown that the dynamic, elastic-nonlinear behaviour of fault gouge perturbed by a seismic wave may trigger earthquakes, even with such small strains as the dynamic strain amplitudes from a large earthquake are exceedingly small.
Abstract: The 1992 magnitude 7.3 Landers earthquake triggered an exceptional number of additional earthquakes within California and as far north as Yellowstone and Montana. Since this observation, other large earthquakes have been shown to induce dynamic triggering at remote distances--for example, after the 1999 magnitude 7.1 Hector Mine and the 2002 magnitude 7.9 Denali earthquakes--and in the near-field as aftershocks. The physical origin of dynamic triggering, however, remains one of the least understood aspects of earthquake nucleation. The dynamic strain amplitudes from a large earthquake are exceedingly small once the waves have propagated more than several fault radii. For example, a strain wave amplitude of 10(-6) and wavelength 1 m corresponds to a displacement amplitude of about 10(-7) m. Here we show that the dynamic, elastic-nonlinear behaviour of fault gouge perturbed by a seismic wave may trigger earthquakes, even with such small strains. We base our hypothesis on recent laboratory dynamic experiments conducted in granular media, a fault gouge surrogate. From these we infer that, if the fault is weak, seismic waves cause the fault core modulus to decrease abruptly and weaken further. If the fault is already near failure, this process could therefore induce fault slip.
350 citations
••
01 Dec 2013TL;DR: This work proposes a new global calibration approach based on the fusion of relative motions between image pairs, and presents an efficient a contrario trifocal tensor estimation method, from which stable and precise translation directions can be extracted.
Abstract: Multi-view structure from motion (SfM) estimates the position and orientation of pictures in a common 3D coordinate frame. When views are treated incrementally, this external calibration can be subject to drift, contrary to global methods that distribute residual errors evenly. We propose a new global calibration approach based on the fusion of relative motions between image pairs. We improve an existing method for robustly computing global rotations. We present an efficient a contrario trifocal tensor estimation method, from which stable and precise translation directions can be extracted. We also define an efficient translation registration method that recovers accurate camera positions. These components are combined into an original SfM pipeline. Our experiments show that, on most datasets, it outperforms in accuracy other existing incremental and global pipelines. It also achieves strikingly good running times: it is about 20 times faster than the other global method we could compare to, and as fast as the best incremental method. More importantly, it features better scalability properties.
348 citations
••
TL;DR: In this paper, the authors studied the behavior of the smallest singular value of a rectangular random matrix, i.e., matrix whose entries are independent random variables satisfying some additional conditions, and showed that such a matrix is a good isomorphism on its image.
322 citations
Authors
Showing all 831 results
Name | H-index | Papers | Citations |
---|---|---|---|
Dapeng Yu | 94 | 745 | 33613 |
Daniel Azoulay | 78 | 510 | 23979 |
Mehmet A. Oturan | 77 | 261 | 22682 |
Alfred O. Hero | 73 | 899 | 29258 |
Nihal Oturan | 64 | 174 | 12092 |
Jean-Christophe Pesquet | 50 | 364 | 13264 |
Eric D. van Hullebusch | 50 | 265 | 9030 |
Christian Soize | 48 | 529 | 9932 |
Maxime Crochemore | 47 | 314 | 9836 |
Jean-Yves Thibon | 42 | 191 | 6398 |
Marie-France Sagot | 41 | 191 | 5972 |
François Farges | 41 | 111 | 6349 |
Laurent Najman | 40 | 233 | 9238 |
Renaud Keriven | 39 | 108 | 6330 |
Robert Eymard | 39 | 171 | 6964 |