This study presents SynaptoGen, a differentiable extension of connectome models that links gene expression, protein-protein interaction probabilities, synaptic multiplicity, and synaptic weights, and ...

This work presents the application of the lesser-known yet significant Sommerfeld-Watson transformation (SWT) for the analytical diagonalization of specific Hamiltonians in condensed matter physics.

密度行列埋め込み理論(DMET)とサンプルベースの量子対角化手法(SQD)を組合せ、分子物性計算を実施。41, 89量子ビットの全分子計算をそれぞれ27, 32量子ビットの活性領域シミュレーションに分解した計算を行い、古典と一致する結果を得た。

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Non-Commercial (NC): Only non-commercial uses of the work are permitted. No ...

This paper proposes a novel shrinkage estimator for high-dimensional covariance matrices by extending the Oracle Approximating Shrinkage (OAS) of Chen et al. (2009) to target the diagonal elements of ...

The original version of this story appeared in Quanta Magazine. Algorithms have become ubiquitous. They optimize our commutes, process payments, and coordinate the flow of internet traffic. It seems ...

When working with squares and geometry, it’s occasionally necessary to calculate the length of the diagonal. A diagonal is a straight line joining two non-adjacent corners of a shape. In this article, ...

Imagine I told you in 1970 that I was going to invent a wondrous tool. This new tool would make it possible for anyone with access — and most of humanity would have access — to quickly communicate and ...