On the representation of the search region in multi-objective optimization

Given a finite set $N$ of feasible points of a multi-objective optimization (MOO) problem, the search region corresponds to the part of the objective space containing all the points that are not dominated by any point of $N$, i.e. the part of the objective space which may contain further nondominated points. In this paper, we consider a representation of the search region by a set of tight local upper bounds (in the minimization case) that can be derived from the points of $N$. Local upper bounds play an important role in methods for generating or approximating the nondominated set of an MOO problem, yet few works in the field of MOO address their efficient incremental determination. We relate this issue to the state of the art in computational geometry and provide several equivalent definitions of local upper bounds that are meaningful in MOO. We discuss the complexity of this representation in arbitrary dimension, which yields an improved upper bound on the number of solver calls in epsilon-constraint-like methods to generate the nondominated set of a discrete MOO problem. We analyze and enhance a first incremental approach which operates by eliminating redundancies among local upper bounds. We also study some properties of local upper bounds, especially concerning the issue of redundant local upper bounds, that give rise to a new incremental approach which avoids such redundancies. Finally, the complexities of the incremental approaches are compared from the theoretical and empirical points of view.Comment: 27 pages, to appear in European Journal of Operational Researc

Magnetic domain wall propagation in a submicron spin-valve stripe: influence of the pinned layer

The propagation of a domain wall in a submicron ferromagnetic spin-valve stripe is investigated using giant magnetoresistance. A notch in the stripe efficiently traps an injected wall stopping the domain propagation. The authors show that the magnetic field at which the wall is depinned displays a stochastic nature. Moreover, the depinning statistics are significantly different for head to head and tail-to-tail domain walls. This is attributed to the dipolar field generated in the vicinity of the notch by the pinned layer of the spin-valve

Light-induced magnetization reversal of high-anisotropy TbCo alloy films

Magnetization reversal using circularly polarized light provides a new way to control magnetization without any external magnetic field and has the potential to revolutionize magnetic data storage. However, in order to reach ultra-high density data storage, high anisotropy media providing thermal stability are needed. Here, we evidence all-optical magnetization switching for different TbxCo1-x ferrimagnetic alloy composition and demonstrate all-optical switching for films with anisotropy fields reaching 6 T corresponding to anisotropy constants of 3x106 ergs/cm3. Optical magnetization switching is observed only for alloys which compensation temperature can be reached through sample heating

Wide range and tunable linear TMR sensor using two exchange pinned electrodes

A magnetic tunnel junction sensor is proposed, with both the detection and the reference layers pinned by IrMn. Using the differences in the blocking temperatures of the IrMn films with different thicknesses, crossed anisotropies can be induced between the detection and the reference electrodes. The pinning of the sensing electrode ensures a linear and reversible output. It also allows tuning both the sensitivity and the linear range of the sensor. The authors show that the sensitivity varies linearly with the ferromagnetic thickness of the detection electrode. It is demonstrated that an increased thickness leads to a rise of sensitivity and a reduction of the operating range

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Fragmentation of magnetism in artificial kagome dipolar spin ice

Geometrical frustration in magnetic materials often gives rise to exotic, low-temperature states of matter, like the ones observed in spin ices. Here we report the imaging of the magnetic states of a thermally-active artificial magnetic ice that reveal the fingerprints of a spin fragmentation process. This fragmentation corresponds to a splitting of the magnetic degree of freedom into two channels and is evidenced in both real and reciprocal space. Furthermore, the internal organization of both channels is interpreted within the framework of a hybrid spin-charge model that directly emerges from the parent spin model of the kagome dipolar spin ice. Our experimental and theoretical results provide insights into the physics of frustrated magnets and deepen our understanding of emergent fields through the use of tailor-made magnetism.Comment: 9 pages, 5 figures. Published version available on the Nat. Comm. web site: http://www.nature.com/ncomms/2016/160513/ncomms11446/full/ncomms11446.htm

Magnetic SAW RFID Sensor Based on Love Wave for Detection of Magnetic Field and Temperature

Magnetic field measurement including a temperature compensation is essential for a magnetic field sensor. This study investigates a magnetic surface acoustic wave (MSAW) sensor in a reflective delay line configuration with two acoustic propagation paths with and without magnetic field sensitive layer. The delay in path with sensitive layer leads to magnetic field detection and the one without enable temperature measurement and thus compensation for the first path. The developed sensor is based on a ZnO/LiNbO$_3$ Ycut (X-direction) layered structure as Love wave platform. Love wave as a shear wave being more favorable for magnetic detection. Co-Fe-B is considered as sensitive layer to detect magnetic field changes and is deposited on the top of ZnO, but only on one of the two paths. We combined an original configuration of connected IDTs with a high electromechanical coupling coefficient (K$^2$) mode to improve the signal amplitude. The achieved sensor exhibits a high temperature and magnetic field sensitivity of -63 ppm/$^\circ$C and -781 ppm/mT, respectively. The temperature compensation method for magnetic field measurement is demonstrated using a differential measurement by subtracting the delay times obtained for the two paths with and without the sensitive layer. Finally, The sensor exhibited good repeatability at various temperatures. Moreover, the device developed allows in addition to the multisensor functionality, the radio frequency identification (RFID) which is necessary for the deployment of sensor networks

Truncus arteriosus repair: Influence of techniques of right ventricular outflow tract reconstruction

AbstractFifty-six consecutive patients underwent total correction of truncus arteriosus. Median age at repair was 41 days, with a range of 2 days to 8 months. In 71% the operation was done in the first 2 months of life. Nine patients had complex forms of truncus and 11 patients had aortic insufficiency. The truncal aortic root was transected, which provides a clear exposure of the coronary ostia. The aorta was reconstructed by direct end-to-end anastomosis, and the truncal valve was preserved in every case. Several different techniques were used for pulmonary reconstruction, including three types of anatomic reconstruction of the pulmonary valve with a trisigmoid leaflet system and two types of nonanatomic reconstruction. The anatomic techniques included use of 33 Dacron valved conduits, eight homograft valved conduits, and one porcine aortic root bioprosthesis. The nonanatomic reconstructions included direct anastomosis to the right ventricle in nine patients and insertion of autologous pericardial valved conduits in five. The hospital mortality was 16% (9/56; 95% confidence limits, 2% to 30%). Multivariate analysis outlines two independent incremental risk factors for hospital death: nonanatomic pulmonary valve reconstruction techniques and age younger than 1 month. The hospital mortality was 7.1% in the group with anatomic pulmonary valve reconstruction versus 43% in the group with nonanatomic pulmonary valve reconstruction (p = 0.015). The hospital mortality was 5.7% in those older than 1 month versus 33% in those younger than 1 month of age (p = 0.04). There were two late deaths. The actuarial freedom from reoperation and angioplasty at 7 years was 100% for patients receiving pericardial conduits, 80% for those undergoing direct anastomosis, 77% for those receiving Dacron conduits, and only 43% for those receiving homografts (p = 0.02). In conclusion, anatomic reconstruction of the pulmonary valve seems important at the time of the operation, age younger than 1 month remains an incremental risk factor, and the truncal valve can be preserved. (J THORAC CARDIOVASC SURG 1996;111:849-56