State-of-the-art seismic imaging techniques treat inversion tasks such as full-waveform (FWI) and least-squares reverse time migration (LSRTM) partial differential equation-constrained optimization problems. Due to the large-scale nature, gradient-based algorithms are preferred in practice update model iteratively. Higher-order methods converge fewer iterations but often require higher computat...

We study disorder effects in a two-dimensional system with chiral symmetry and find that can induce quadrupole topological insulating phase (a higher-order moments) from topologically trivial phase. Their properties manifest invariant defined based on effective boundary Hamiltonians, the moment, zero-energy corner modes. gapped gapless phases Griffiths regime. In phase, all states are localized...

We study the dynamics of a monitored single particle in one-dimensional, Anderson-localized system. The time evolution is governed by Hamiltonian for fixed intervals, interrupted local, projective measurements. competition between disorder-induced localization and measurement-induced jumps leads to interesting behaviour readout-averaged quantities. find that measurements at random positions del...