The occurrence of quasi-long-range positional order in the ground-state of the one-dimensional repulsive Calogero-Sutherland model is studied. By mapping the exact ground-state into a one dimensional classical system of interacting particles at finite temperatures the structure function and the ...
The hypothesis of long-range positional order in the sys... Lei-Han,Tang - 《Physical Review Letters》 被引量: 49发表: 1990年 Clusters in quasicrystals: tiling versus covering and porosity These patterns are prototypes of atomic clusters which may be used to model quasicrystal structures. Three...
1.08.2.2Long-Range Order Thelong-range orderor long range correlations in amorphous polymers arises from the fact that for an isolated polymer chain, a large number (typically hundreds to millions) of atoms are covalently bound. Therefore, macromolecular chains can have an almost unlimited number ...
A random packing is a stable disordered collection of touching particles, without long-range positional and orientational order. Experimental random packings of p... A Wouterse 被引量: 7发表: 2008年 A link between short-range and long-range properties of random sphere packings We present a ...
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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...
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...
Long-range order produced by the interaction between spin waves in classical fcc Heisenberg models Previous linear spin-wave calculations as well as Green's-function theories predict disorder at T>0 for certain Heisenberg models in disagreement with the ... MT Heinil?,AS Oja - 《Physical Review...
Indeed, of the 2,096 RegHsa elements that overlap the regions involved in 781 long-range chromatin interactions experimentally observed on the X chromosome by ChIA-PET in five human cell lines13, 69% are evolutionary associated (that is, show the best SA score) with the same gene as shown...
The original positional encoding methods, such as RoPE and NTK-aware RoPE, do not capture long-range dependencies effectively, leading to poor performance in language modeling and passkey retrieval tasks. By introducing successive-chunk attention, the model can capture both local and long-range ...