Results 61 to 70 of about 5,647,728 (213)

Inertia of partial transpose of positive semidefinite matrices [PDF]

, 2023
We show that the partial transpose of $9\times 9$ positive semidefinite matrices do not have inertia (4,1,4) and (3,2,4). It solves an open problem in "LINEAR AND MULTILINEAR ALGEBRA, Changchun Feng et al, 2022".
Chen, Lin, Liang, Yixuan, Yan, Jiahao, Si, Dongran   +3 more
core  

Enhancing Drone Light Shows Performances: Optimal Allocation and Trajectories for Swarm Drone Formations

Journal of Field Robotics, EarlyView.
ABSTRACT Drone light shows (DLShows) represent a rapidly growing application of swarm robotics, creating captivating aerial displays through the synchronized flight of hundreds or thousands of unmanned aerial vehicles (UAVs) as environmentally friendly and reusable alternatives to traditional pyrotechnics.
Yunes Alqudsi
wiley   +1 more source

An Empirical Study on the Evaluation of Graph‐Based Strategies for Intelligent Modeling Assistants

Software: Practice and Experience, EarlyView.
ABSTRACT Context In the context of model‐driven engineering, the proliferation of intelligent modeling assistants (IMAs) has pushed the boundaries of automation, providing modelers with relevant recommendations based on incomplete modeling artifacts as primary input.
Ilirian Ibrahimi, Claudio Di Sipio, Davide Di Ruscio, Manuel Wimmer   +3 more
wiley   +1 more source

Graph‐Laplacian modeling of spatiotemporal effects for house price estimation

Real Estate Economics, EarlyView.
Abstract Many variables involve the modeling of spatial effects, and their dynamics over time. This article presents a linear model in which spatiotemporal random effects are modeled by graph‐Laplacians. A graph‐Laplacian flexibly encodes adjacency in both space and time, in our case not depending on unknown parameters. The graph‐Laplacian can be input
Willem P Sijp, Marc K. Francke
wiley   +1 more source

Completions of positive semidefinite operator matrices

, 2011
This chapter deals with positive definite and semidefinite completions of partial operator matrices. It considers the banded case in Section 2.1, the chordal case in Section 2.2, the Toeplitz case in Section 2.3, and the generalized banded case and the ...
Hugo J. Woerdeman, Mihály Bakonyi
core   +1 more source

Vendi information gain for active learning and its application to ecology

Methods in Ecology and Evolution, EarlyView.
Abstract While monitoring biodiversity through camera traps has become an important endeavour for ecological research, identifying species in the captured image data remains a major bottleneck due to limited labelling resources. Active learning—a machine learning paradigm that selects the most informative data to label and train a predictive model ...
Quan Nguyen, Adji Bousso Dieng
wiley   +1 more source

An Inequality for Positive Semidefinite Hermitian Matrices⁽¹⁾

, 1974
Let A and B be positive semidefinite Hermitian n-square matrices. If A—B is positive semidefinite, write A≥B. Haynsworth [1] has proved that if A≥B then det(A+B)≥det A+n det B.Let G be a subgroup of the symmetric group, Sn, and let λ be a character on G.
Russell Merris
core   +1 more source

Computing Skinning Weights via Convex Duality

Computer Graphics Forum, EarlyView.
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley   +1 more source

Several inequalities involving Khatri–Rao products of positive semidefinite matrices

, 2002
The Khatri–Rao and Tracy–Singh products for partitioned matrices are viewed as generalized Hadamard and generalized Kronecker products, respectively. Based on the connection between the Khatri–Rao and Tracy–Singh products, we establish new inequalities ...
Liu, Shuangzhe
core   +1 more source

The Story(line) So Far: A Survey on Storyline Visualization

Computer Graphics Forum, EarlyView.
Abstract Storyline visualizations model narratives as temporal networks, using x‐monotone lines to represent entities and their interactions over time. This technique offers an intuitive way to reveal structural patterns over time, such as character co‐occurrence and narrative flow.
S. Di Bartolomeo, A. Dobler, V. Filipov, M. Nöllenburg, H. Ehlers   +4 more
wiley   +1 more source