activity
20142022
most citedTensor Computation: A New Framework for High-Dimensional Problems in EDA

47 citations · 96 across the 8 of their papers we have counts for

collaborators

8 papers

gr-qc2022★ 8 cited

Deflection and Gravitational lensing of null and timelike signals in the Kiselev black hole spacetime in the weak field limit

Haotian Liu, Jinning Liang, Junji Jia

In this work we study the deflection and gravitational lensing of null and timelike signals in the Kiselev spacetime in the weak field limit, to investigate the effects of the equa…

gr-qc2021★ 1 cited

Deflection and gravitational lensing of null and timelike signals in general asymptotically (anti-)de Sitter spacetimes

Zixiao Li, Haotian Liu, Junji Jia

The deflection and gravitational lensing of light and massive particles in arbitrary static, spherically symmetric and asymptotically (anti-)de Sitter spacetimes are considered in…

gr-qc2021★ 6 cited

Time delay in the strong field limit for null and timelike signals and its simple interpretation

Haotian Liu, Junji Jia

Gravitational lensing can happen not only for null signal but also timelike signals such as neutrinos and massive gravitational waves in some theories beyond GR. In this work we st…

gr-qc2020★ 15 cited

Constraining the spacetime spin using time delay in stationary axisymmetric spacetimes

Haotian Liu, Junji Jia

Total travel time and time delay between images of gravitational lensing (GL) in the equatorial plane of stationary axisymmetric (SAS) spacetimes for null and timelike sig…

gr-qc2020★ 2 cited

Universal time delay in static spherically symmetric spacetimes for null and timelike signals

Haotian Liu, Junji Jia

A perturbative method to compute the total travel time of both null and lightlike rays in arbitrary static spherically symmetric spacetimes in the weak field limit is proposed. The…

gr-qc2019★ 17 cited

Time delay of timelike particles in gravitational lensing of Schwarzschild spacetime

Junji Jia, Haotian Liu

Time delay in Schwarzschild spacetime for null and timelike signals with arbitrary velocity is studied. The total travel time is evaluated both exactly and appr…

math.NA2016★ 47 cited

Tensor Computation: A New Framework for High-Dimensional Problems in EDA

Zheng Zhang, Kim Batselier, Haotian Liu +2

Many critical EDA problems suffer from the curse of dimensionality, i.e. the very fast-scaling computational burden produced by large number of parameters and/or unknown variables.…

math.NA2014

A Constructive Algorithm for Decomposing a Tensor into a Finite Sum of Orthonormal Rank-1 Terms

Kim Batselier, Haotian Liu, Ngai Wong

We propose a constructive algorithm that decomposes an arbitrary real tensor into a finite sum of orthonormal rank-1 outer products. The algorithm, named TTr1SVD, works by converti…