Search

Article, MUTATION RESEARCH-GENETIC TOXICOLOGY AND ENVIRONMENTAL MUTAGENESIS. 649(1-2): 239-244 (2008)

Various kinds of stationary dark localized modes in discrete nonlinear Schrödinger equations are considered. A criterion for the existence of such excitations is introduced and an estimation of a localization region is provided. The results are illustrated in examples of the deformable discrete nonlinear Schrödinger equation, of the model of Frenkel excitons in a chain of two-level atoms, and of the model of a one-dimensional Heisenberg ferromagnetic in the stationary phase approximation. The three models display essentially different properties. It is shown that at an arbitrary amplitude of the background it is impossible to reach strong localization of dark modes. In the meantime, in the model of Frenkel excitons, exact dark compacton solutions are found.

A 24-year-old male with myelodysplastic syndrome (refractory anemia) was treated with allogeneic bone marrow transplantation (BMT) from HLA-identical brother on September 9, 1994, after conditioning with busulfan and cyclophosphamide. From early in April 1995, the patient complained of cough and fever. Chest X-ray showed interstitial infiltrates involving hilar and lower lung fields. Although pulmonary infiltrates were resolved with methylprednisolone pulse therapy, on May 19, the patient rapidly deteriorated with dyspnea. Diffuse alveolar infiltrates appeared on chest X-ray and he died of respiratory failure. At autopsy, diffuse alveolar hemorrhage accompanied with thickening of the alveolar walls and interstitial infiltration of lymphocytes was demonstrated. There was no evidence of bleeding in other organs. This is a rare case of diffuse alveolar hemorrhage in the late stage of allogeneic BMT. This report should lead to an evaluation of this disease by the collection of similar cases.

In a standard setting of Bayesian optimization (BO), the objective function evaluation is assumed to be highly expensive. Multi-fidelity Bayesian optimization (MFBO) accelerates BO by incorporating lower fidelity observations available with a lower sampling cost. In this paper, we focus on the information-based approach, which is a popular and empirically successful approach in BO. For MFBO, however, existing information-based methods are plagued by difficulty in estimating the information gain. We propose an approach based on max-value entropy search (MES), which greatly facilitates computations by considering the entropy of the optimal function value instead of the optimal input point. We show that, in our multi-fidelity MES (MF-MES), most of additional computations, compared with usual MES, is reduced to analytical computations. Although an additional numerical integration is necessary for the information across different fidelities, this is only in one dimensional space, which can be performed efficiently and accurately. Further, we also propose parallelization of MF-MES. Since there exist a variety of different sampling costs, queries typically occur asynchronously in MFBO. We show that similar simple computations can be derived for asynchronous parallel MFBO. We demonstrate effectiveness of our approach by using benchmark datasets and a real-world application to materials science data., Comment: 31 pages, 5 figures