Given a directed graph G = (N,A), a tension is a function from A to R which satisfies Kirchhoff’s law for voltages. There are two well-known tension problems on graphs. In the minimum cost tension problem (MCT), a cost vector is given and a tension satisfying lower and upper bounds is seeked such that the total cost is minimum. In the maximum tension problem (MaxT), the graph contains 2 special...

This paper reviews the contrast source inversion method as a robust algorithm to solve the nonlinear inverse scattering problem, where the discrepancy between the measured and predicted scattered field data is minimized. The algorithm is based on a source type of integral representation of the scattered field, where the integral operator acts on a contrast source, being the product of the inter...

Despite the voluminous publications on robot dynamics and control, the literature to date is based solely on the serial link manipulators. Little attention has been given to the alternative manipulator design based on the concept of in-parallel actuated mechanism, which is characterized by its excellent rigidity, high strength-to-moving-weight ratio, and relatively simple inverse kinematics. Th...

This paper addresses the problem of the blind detection of a desired user in an asynchronous DS-CDMA communications system with multipath propagation channels. Starting from the inverse filter criterion introduced by Tugnait and Li in 2001, we propose to tackle the problem in the context of the blind signal extraction methods for ICA. In order to improve the performance of the detector, we pres...

Abstract— Evolutionary Algorithms are often used as an optimization tool. We use this ability here to help explore, analyse and, on this basis, propose a controller for a complex robotics system: a flapping wings aircraft. A multi-objective optimization is performed to find the best parameters of sinusoidal wings kinematics. The obtained results are not the end of the process, but rather the be...

Many existing works for handling uncertainty in problem-solving rely on some form of a priori knowledge of the uncertainty structure. However, in reality, one may not always possess the necessary expertise or sufficient knowledge to identify suitable bounds of the uncertainty involved. Rather, it is more likely that specifications of the realistic performance desired are derived, which may be b...

Commonly used direct rendering techniques simulate light transport for a complete scene, specified in terms of light sources, geometry, materials, participating media, etc. On the other hand, inverse rendering problems take as input a desired light distribution and try to find the unknown parts of the scene needed to get such light field. The latter kind, where inverse reflector design is inclu...

All inverse planning involves weight optimization. Beamlet-based Inverse Planning (BBIP) irradiates complex target volumes with a large number of small beams. The number of small beams or beamlets is often more than one thousand. The optimization process adjusts the weights of these beams to produce a desired dose distribution. Delivery of this large number of small beams is challenging, but ma...

We consider the problem of finding the optimal correlation between two projected matrices U∗AU and V ∗BV . The square matrices A and B may be of different dimensions, but the isometries U and V have a common column dimension k. The correlation is measured by the real function c(U,V ) = R tr(U∗AUV ∗B∗V ), which we maximize of the isometries U∗U = V ∗V = Ik. This problem can be viewed as an exten...

In this paper, we discuss vector and parallel tuning of GeoFEM and the Householder QR decomposition process being solid earth simulation codes. Process of GeoFEM code can be roughly divided into two parts, Matrix Assemble part and Solver part. Currently, GeoFEM's parallel iterative solver has attained good parallel and vector performance, and GeoFEM's Matrix Assemble part has attained good para...