Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Qian, Yitian"'
This note concerns a class of nonmonotone descent methods for minimizing a proper lower semicontinuous Kurdyka-{\L}$\ddot{o}$jasiewicz (KL) function $\Phi$, whose iterate sequence obeys the ZH-type nonmonotone decrease condition and a relative error
Externí odkaz:
http://arxiv.org/abs/2406.05740
This paper concerns a class of low-rank composite factorization models arising from matrix completion. For this nonconvex and nonsmooth optimization problem, we propose a proximal alternating minimization algorithm (PAMA) with subspace correction, in
Externí odkaz:
http://arxiv.org/abs/2406.04588
This paper concerns the quadratic assignment problem (QAP), a class of challenging combinatorial optimization problems. We provide an equivalent rank-one doubly nonnegative (DNN) reformulation with fewer equality constraints, and derive the local err
Externí odkaz:
http://arxiv.org/abs/2403.11210
This paper concerns the composite problem of minimizing the sum of a twice continuously differentiable function $f$ and a nonsmooth convex function. For this class of nonconvex and nonsmooth problems, by leveraging a practical inexactness criterion a
Externí odkaz:
http://arxiv.org/abs/2311.06871
This paper focuses on a class of binary orthogonal optimization problems frequently arising in semantic hashing. Consider that this class of problems may have an empty feasible set, rendering them not well-defined. We introduce an equivalent model in
Externí odkaz:
http://arxiv.org/abs/2308.10506
Autor:
Qian, Yitian, Pan, Shaohua
This work extends the iterative framework proposed by Attouch et al. (in Math. Program. 137: 91-129, 2013) for minimizing a nonconvex and nonsmooth function $\Phi$ so that the generated sequence possesses a Q-superlinear convergence rate. This framew
Externí odkaz:
http://arxiv.org/abs/2210.12449
Autor:
Qian, Yitian, Pan, Shaohua
This paper is concerned with a class of nonmonotone descent methods for minimizing a proper lower semicontinuous KL function $\Phi$, which generates a sequence satisfying a nonmonotone decrease condition and a relative error tolerance. Under suitable
Externí odkaz:
http://arxiv.org/abs/2201.00639
This paper is concerned with a class of optimization problems with the nonnegative orthogonal constraint, in which the objective function is $L$-smooth on an open set containing the Stiefel manifold ${\rm St}(n,r)$. We derive a locally Lipschitzian e
Externí odkaz:
http://arxiv.org/abs/2111.03457
Publikováno v:
In Atmospheric and Oceanic Science Letters March 2024
This paper is concerned with the calmness of a partial perturbation to the composite rank constraint system, an intersection of the rank constraint set and a general closed set, which is shown to be equivalent to a local Lipschitz-type error bound an
Externí odkaz:
http://arxiv.org/abs/2102.10373