The instability of the long-range positional order in smectic A and C liquid crystals under thermal fluctuations is discussed, along with the nematic-smectic A phase transition. The correlation function of the density fluctuations is calculated. It is shown that the long-range orientational order ...
Non-graphitic carbons are all varieties of solids consisting mainly of the element carbon with two-dimensional long-range order of the carbon atoms in planar hexagonal networks, but without any measurable crystallographic order in the third direction (c-direction) apart from more or less parallel st...
The MP-GNN models are 8 layers deep, while the transformer-based models have 4 layers in order to maintain comparable hidden representation size at the fixed parameter budget. Dataset (SLIC) Model # Params coo coo-feat reg-bound Dataset (SLIC) Model # Params Train F1 Test F1 ↑ Train F1...
When the embedding size d > n, the 2nd problem is the quadratic time complexity of linear layers w.r.t. embedding size d. 3rd problem is Positional Sinusoidal Embedding used in the original architecture. In Transformer architecture, the shapes of learnable matrix weights are agnostic to the nu...
Do Long-Range Language Models Actually Use Long-Range Context? Sun, Simeng and Krishna, Kalpesh and Mattarella-Micke, Andrew and Iyyer, Mohit. ACL 2021. Extending context window of large language models via positional interpolation Chen, Shouyuan and Wong, Sherman and Chen, Liangjian and Tian, ...
We use multi-head attention (MHA) layers to share information across the sequence and model long-range interactions, such as those between promoters and enhancers. Each head has a separate set of weightswq∈RC×K,wk∈RC×K, andwv∈RC×Vwhich transform the input sequencex∈RL×Cinto queries...
We found that, given the SNR range of HFOs in these data (4–10), the mean PLV (~0.06) may be inflated only by ~10% by any amplitude increase (see Supplementary Notes and Fig. 3), i.e., an order of magnitude less than observed here. These data thus clearly show that high-...
Performer and Big Bird, which is a long-range model based on sparse attention, are currently in the works as part of our call for models, an effort involving the community in order to promote open-source contributions. We would be pumped to hear from you if you’ve wondered how to ...
X/Y/Z axis Repeat positional accuracy (mm) ±0.005 ±0.005 Size (length× width× height) (mm) 7500*5000*3800 7500*6000*3900 Machine weight (kg) 27000 32000 Product Feature WJ3015 high precision heavy duty metal cnc horizontal machining center for sa...
Functional imaging of long-range inputs to agranular RSC We trained head-fixed mice to run laps on a circular treadmill to find the location of a water reward (34 mice, 92 sessions, mean of 63 ± 15 laps per session) (Figure 1A). Well-trained mice ran at a relatively constant speed,...