Background and Purpose-Initial clinical assessment or conventional diffusion tensor imaging parameters alone do not reliably predict poststroke recovery of motor function. Recently, local diffusion homogeneity (LDH) has been proposed to represent the local coherence of water molecule diffusion and can ...
1. Additionally, diffusion models preprocess noisy data, enhancing the input quality. The methodology includes visual and audio feature extraction, multimodal fusion, classification, and preprocessing with diffusion models. 3.1 Visual feature extraction Visual features are extracted using a two-stage ...
In this work, we mainly focus on static problems, whereudepends only onx; we thus omit the time dependence in the remaining of this section. Also, we consider nonlocal diffusion operators that, in the limit of vanishing nonlocality, i.e., asδ→ 0, under suitable regularity assumptions, ...
number of parameters such as the particle characteristics (for example, size and magnetization) and experimental parameters of the pulse sequence15,26. We have obtained IO clusters in the condition of the SDR, but with significantly differentr2values, which motivated us to revisit the diffusion and...
Mapping local functional homogeneity in schizophrenia patients and healthy controls. Group mean 2dReHo maps are depicted for early-onset schizophrenia (EOS; a), adulthood-onset schizophrenia (AOS; b), typically developing controls (TDCs; c) and healthy adult controls (HACs; d). Maps of group ...
Thus, the government's implicit guarantee precipitates a rise in the uniformity of industry distribution in bank lending, which in turn leads to an increase in industry loan concentration and aggravates the homogeneity of local commercial banks. On the other hand, the economic growth target of ...
the latter is still strikingly higher in respect to pure phase perovskites which typically show an EU value of 13.5–28.0 meV,25,26 the sharp contrast between our samples suggests a largely reduced electronic heterogeneity in the band edge as a consequence of improved local chemical homogeneity. ...
The transport properties of ionic conductors such as α-AgI and Li 0.23 La 0.69 Fe 0.3 Ti 0.7 O 3 and of electronically conducting semiconductors such as α-Ag 2 S and Ag x WO 3 as a result of the application of voltages smaller than the decomposition voltage by two ionically blocking ...
This follows by a homogeneity argument based on the obvious remark that \begin{aligned} \iint _{|y-x|<1} \frac{(\varphi (x)-\varphi (y))^2}{|x-y|^{1+2\sigma }}\,dx\,dy \le \iint _{|y-x|<1} \frac{(\varphi (x)-\varphi (y))^2}{|x-y|^{2}}\,dx\,dy, \...
Instead, the picture change drastically if we switch to semi-linear elliptic equations with non-Lipschitz nonlinearities: given, let us consider for example the class of equations (1) whereis the unit ball inandandare respectively the positive and negative part ofu. Notice that the main feature...