202 research outputs found
Rewiring with Positional Encodings for Graph Neural Networks
Several recent works use positional encodings to extend the receptive fields
of graph neural network (GNN) layers equipped with attention mechanisms. These
techniques, however, extend receptive fields to the complete graph, at
substantial computational cost and risking a change in the inductive biases of
conventional GNNs, or require complex architecture adjustments. As a
conservative alternative, we use positional encodings to expand receptive
fields to -hop neighborhoods. More specifically, our method augments the
input graph with additional nodes/edges and uses positional encodings as node
and/or edge features. We thus modify graphs before inputting them to a
downstream GNN model, instead of modifying the model itself. This makes our
method model-agnostic, i.e. compatible with any existing GNN architectures. We
also provide examples of positional encodings that are lossless with a
one-to-one map between the original and the modified graphs. We demonstrate
that extending receptive fields via positional encodings and a virtual
fully-connected node significantly improves GNN performance and alleviates
over-squashing using small . We obtain improvements on a variety of models
and datasets, and reach state-of-the-art performance using traditional GNNs or
graph Transformers
Echolocating bats emit a highly directional sonar sound beam in the field
Bats use echolocation or biosonar to navigate and find prey at night. They emit short ultrasonic calls and listen for reflected echoes. The beam width of the calls is central to the function of the sonar, but directionality of echolocation calls has never been measured from bats flying in the wild. We used a microphone array to record sounds and determine horizontal directionality for echolocation calls of the trawling Daubenton's bat, Myotis daubentonii, flying over a pond in its natural habitat. Myotis daubentonii emitted highly directional calls in the field. Directionality increased with frequency. At 40 kHz half-amplitude angle was 25°, decreasing to 14° at 75 kHz. In the laboratory, M. daubentonii emitted less intense and less directional calls. At 55 kHz half-amplitude angle was 40° in the laboratory versus 20° in the field. The relationship between frequency and directionality can be explained by the simple piston model. The model also suggests that the increase in the emitted intensity in the field is caused by the increased directionality, focusing sound energy in the forward direction. The bat may increase directionality by opening the mouth wider to emit a louder, narrower beam in the wild
Cervical collagen and biomechanical strength in non-pregnant women with a history of cervical insufficiency
<p>Abstract</p> <p>Background</p> <p>It has been suggested that cervical insufficiency (CI) is characterized by a "muscular cervix" with low collagen and high smooth muscle concentrations also in the non-pregnant state. Therefore, the aim of this study was to investigate the biomechanical properties, collagen concentration, smooth muscle cell density, and collagen fiber orientation in cervical biopsies from non-pregnant women with a history of CI.</p> <p>Methods</p> <p>Cervical punch biopsies (2 × 15 mm) were obtained from 57 normal non-pregnant women and 22 women with a history of CI. Biomechanical tensile testing was performed, and collagen content was determined by hydroxyproline quantification. Histomorphometry was used to determine the volume densities of extracellular matrix and smooth muscle cells from the distal to the proximal part of each sample. Smooth muscle cells were identified using immunohistoche-mistry. Finally, collagen fiber orientation was investigated. Data are given as mean +/- SD.</p> <p>Results</p> <p>Collagen concentration was lower in the CI group (58.6 +/- 8.8%) compared with the control group (62.2 +/- 6.6%) (p = 0.033). However, when data were adjusted for age and parity, no difference in collagen concentration was found between the two groups. Maximum load of the specimens did not differ between the groups (p = 0.78). The tensile strength of cervical collagen, i.e. maximum load normalized per unit collagen (mg of collagen per mm of specimen length), was increased in the CI group compared with controls (p = 0.033). No differences in the volume density of extracellular matrix or smooth muscle cells were found between the two groups. Fibers not oriented in the plane of sectioning were increased in CI patients compared with controls.</p> <p>Conclusions</p> <p>Cervical insufficiency does not appear to be associated with a constitutionally low collagen concentration or collagen of inferior mechanical quality. Furthermore, the hypothesis that a "muscular cervix" with an abundance of smooth muscle cells contributes to the development of cervical insufficiency is not supported by the present study.</p
- …