Two metrics g and ḡ are geodesically equivalent if they share the same (unparameterized) geodesics. We introduce two constructions that allow one to reduce many natural problems related to geodesically equivalent metrics, such as the classification of local normal forms and the Lie problem (the description of projective vector fields), to the case when the (1, 1)−tensor Gj := g ik ḡkj has one r...

Multi-Agent Systems (MAS) is a promising software paradigm. Considered as a natural metaphor to modeling complex systems, MAS are applied to develop a wide range of applications. However, the developed system’s complexity is a hard obstacle to understand and maintain them. In this paper, some metrics are presented to measure the complexity of MAS. The proposition of these metrics is passed thro...

Several topology optimization problems are conducted within the ribs and spars of a wing box. It is desired to locate the best position of lightening holes, truss/cross-bracing, etc. A variety of aeroelastic metrics are isolated for each of these problems: elastic wing compliance under trim loads and taxi loads, stress distribution, and crushing loads. Aileron effectiveness under a constant rol...

While there have been many successful applications of machine learning methods to tasks in NLP, learning algorithms are not typically designed to optimize NLP performance metrics. This paper evaluates an ensemble selection framework designed to optimize arbitrary metrics and automate the process of algorithm selection and parameter tuning. We report the results of experiments that instantiate t...

Two metrics g and ḡ are geodesically equivalent, if they share the same (unparameterized) geodesics. We introduce two constructions that allow one to reduce many natural problems related to geodesically equivalent metrics, such as the classification of local normal forms and the Lie problem (the description of projective vector fields), to the case when the (1, 1)−tensor Gj := g ik ḡkj has one ...

We consider finite 2-complexes X that arise as quotients of Fuchsian buildings by subgroups of the combinatorial automorphism group, which we assume act freely and cocompactly. We show that locally CAT(-1) metrics on X which are piecewise hyperbolic, and satisfy a natural non-singularity condition at vertices are marked length spectrum rigid within certain classes of negatively curved, piecewis...

There are errors in the author affiliations. The affiliations should appear as shown here: Ana Wheelock, MSc; Anam Parand, PhD; Bruno Rigole, MSc; Angus Thomson, PhD; Marisa Miraldo, PhD; Charles Vincent, PhD; Nick Sevdalis, PhD Faculty of Medicine, Imperial College London, London, UK; Sanofi Pasteur, Lyon, France; Imperial College Business School, London, UK; Department of Experimental Psychol...

This paper presents a historical overview and current perspective of the Automated Neuropsychological Assessment Metrics (ANAM) test system. We discuss the history of its development along with a synopsis of the evolution of computerized testing that has occurred and led to ANAM over the past 30 years within the Department of Defense (DoD). We include a description of our current system and tes...

In this paper we describe a family of locally conformal Kähler metrics on class 1 Hopf surfaces Hα,β containing some recent metrics constructed in [GO98]. We study some canonical foliations associated to these metrics, in particular a 2-dimensional foliation Eα,β that is shown to be independent of the metric. We elementary prove that Eα,β has compact leaves if and only if α = β for some integer...

The task of generating natural language descriptions from images has received a lot of attention in recent years. Consequently, it is becoming increasingly important to evaluate such image captioning approaches in an automatic manner. In this paper, we provide an in-depth evaluation of the existing image captioning metrics through a series of carefully designed experiments. Moreover, we explore...