The Impact of BOLD-Induced Linewidth Modulation on Functional <sup>1</sup>H MRS Analysis. [PDF]
Functional MRS studies face a technical challenge: BOLD‐related lineshape changes can be mistaken for genuine metabolic changes, causing ~1% glutamate estimation bias at 3 and 7 T across conventional (LCModel, ABfit‐reg) and 2D fitting methods. Using synthetic data, this study shows that explicit BOLD linewidth correction—via dynamic lineshape ...
Wilson M, Finney SM, Clarke WT.
europepmc +2 more sources
Extreme ratio between spectral and Frobenius norms of nonnegative tensors
One of the fundamental problems in multilinear algebra, the minimum ratio between the spectral and Frobenius norms of tensors, has received considerable attention in recent years. While most values are unknown for real and complex tensors, the asymptotic
Li, Zhening +3 more
core
ABSTRACT This narrative review examines the intersection of artificial intelligence, environmental, social and governance (ESG) strategies and sustainable value creation in contemporary business environments. As organisations face mounting pressure to demonstrate environmental stewardship, social responsibility and governance excellence, artificial ...
Emmanuel Junior Tenakwah +2 more
wiley +1 more source
An eigenvalue localization set for tensors and its applications
A new eigenvalue localization set for tensors is given and proved to be tighter than those presented by Li et al. (Linear Algebra Appl. 481:36-53, 2015) and Huang et al. (J. Inequal. Appl. 2016:254, 2016).
Jianxing Zhao, Caili Sang
doaj +1 more source
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
A new S-type upper bound for the largest singular value of nonnegative rectangular tensors
By breaking N = { 1 , 2 , … , n } $N=\{1,2,\ldots,n\}$ into disjoint subsets S and its complement, a new S-type upper bound for the largest singular value of nonnegative rectangular tensors is given and proved to be better than some existing ones ...
Jianxing Zhao, Caili Sang
doaj +1 more source
Role and task allocation framework for Multirobot collaboration with latent knowledge estimation
Summary In this work a novel framework for modeling role and task allocation in Cooperative Heterogeneous Multi‐Robot Systems (CHMRSs) is presented. This framework encodes a CHMRS as a set of multidimensional relational structures (MDRSs).
Mario Gianni, Mohammad Salah Uddin
doaj +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
On the largest eigenvalue of a symmetric nonnegative tensor [PDF]
In this paper, some important spectral characterizations of symmetric nonnegative tensors are analyzed. In particular, it is shown that a symmetric nonnegative tensor has the following properties: (i) its spectral radius is zero if and only if it is a ...
S. Wu (472767) +2 more
core +2 more sources
Markov‐Associated Quadratic Stochastic Families and the Susceptible‐Infected‐Recovered (SIR) Model
ABSTRACT We introduce a Markov‐associated construction for quadratic stochastic families generated by a symmetric cubic stochastic matrix and a finite‐state homogeneous Markov semigroup. The constructed family is not assumed to be a classical quadratic stochastic process of type (A)$$ (A) $$ or type (B)$$ (B) $$; rather, it is a Markov‐associated ...
Taimun Qaisar +3 more
wiley +1 more source

