We present a novel and remarkably simple formulation of degenerate higher-order scalar-tensor (DHOST) theories whose Lagrangian is quadratic in second derivatives some scalar field. Using disformal transformations the metric, we identify special "frame" (or metric) for which DHOST reduces to usual Einstein-Hilbert term plus few terms that depend on geometric quantities characterizing uniform fi...

The popular tensor train (TT) and ring (TR) decompositions have achieved promising results in science engineering. However, TT TR only establish an operation between adjacent two factors are highly sensitive to the permutation of modes, leading inadequate inflexible representation. In this paper, we propose a generalized decomposition, which decomposes Nth-order into set establishes any factors...

We present in this paper a parallel algorithm that generates low-rank approximation of distributed tensor using QR decomposition with tournament pivoting (QRTP). The algorithm, which is variant the higher-order singular value decomposition, factor matrices for Tucker by applying QRTP to unfolding blockwise (by subtensor) on set processors. For each mode logically reorganizes (unfolds) processor...

We study neutron star configurations in a simple shift-symmetric subfamily of degenerate higher-order scalar-tensor (DHOST) theories, whose deviations from General Relativity (GR) are characterized by single parameter. compute the radial profiles stars these theories modified gravity, using several realistic equations state for matter. find with masses and radii significantly larger than their ...