Finding Structure with Randomness kTropp, Joel AHalko, N., Martinsson, P.G., Tropp, J.A.: Finding structure with randomness: Probabilistic algorithms for construc- tung approximate matrix decompositions. SIAM REVIEW 53(2), 217 - 288 (2010)
Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions 11 code implementations • 22 Sep 2009 These methods use random sampling to identify a subspace that captures most of the action of a matrix. Numerical Analysis Probability 1,366 Paper Code ...
Section 2 develops the methodology: clarifies the topological equality between two quad meshes based on their strip structure; defines a topological distance between two quad meshes to assess their similarity; implements an algorithm for computing the distance along with the dissimilar strips to modify;...
Rigidity of random Toeplitz matrices with an application to depth three circuits 01:47:16 Restrictions on the fundamental group of some Lagrangian cobordisms - Chantraine 54:04 Randomness and Pseudo-randomness - Avi Wigderson 01:02:19 Quantum Yang-Mills theory in two dimensions exact versus pe...
and certain other noncash charges less average annual maintenance capex required to fully maintain its competitive position). The other is the need to look at the entirecorporate capitalstructure. Companies that are overlevered can experience large changes in their equity valuations with only the sli...
asymptotic error bounds of the approximations returned by Algorithm 1. A probabilistic analysis is performed to account for randomness of the linear combinations and to better understand the effect of perturbations. Section5contains several numerical examples with synthetic data to understand different aspec...
Our algorithm successively finds edges that cannot be in a strongly popular matching or must be in any strongly popular matching, and also maintains a directed graph related to the possible structure of the strongly popular matching. The set of possible candidates keeps shrinking until, at the end...
1a), is an L = 16 bipartite graph with two fully-connected clusters, inspired by the ‘Chimera’ structure used in D-Wave Systems’ quantum annealing hardware56. In our case, one cluster is negatively biased with hi = −0.44 and the other positively biased with hi = 1.0. All ...
Randomized Scheduling is similar to stress testing, but at- tempts to amplify the 'randomness' of the OS scheduler[1]. It can Main Thread … free(mutex) exit(0); Filewriter Thread … mutex.unlock() Figure 2. An example of a bug of depth 2 we found in PBZIP2. The bug surfaces if ...
Monkey Testing: Embracing Randomness Randomly interacting with the application to check its response to unexpected inputs. Testers enter random data, click buttons, or stop processes to look for crashes or unusual behavior. While unstructured, it can uncover vulnerabilities that structured tests might ...