358 citations · 807 across the 21 of their papers we have counts for
4 papers · 1 filter
Tensor product methods and entanglement optimization for ab initio quantum chemistry
Szilárd Szalay, Max Pfeffer, Valentin Murg +4
The treatment of high-dimensional problems such as the Schrödinger equation can be approached by concepts of tensor product approximation. We present general techniques that can be…
Tensor completion in hierarchical tensor representations
Holger Rauhut, Reinhold Schneider, Zeljka Stojanac
Compressed sensing extends from the recovery of sparse vectors from undersampled measurements via efficient algorithms to the recovery of matrices of low rank from incomplete infor…
Tree tensor network state study of the ionic-neutral curve crossing of LiF
V. Murg, F. Verstraete, R. Schneider +2
We present a tree-tensor-network-state (TTNS) method study of the ionic-neutral curve crossing of LiF. For this ansatz, the long-range correlation deviates from the mean-field valu…
Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality
Reinhold Schneider, André Uschmajew
The aim of this paper is to derive convergence results for projected line-search methods on the real-algebraic variety of real matrices of rank a…