In this paper, we present a simple and straightforward primal-dual support vector machine formulation to the problem of principal component analysis (PCA) in dual variables. By considering a mapping to a high-dimensional feature space and application of the kernel trick (Mercer theorem), kernel PCA is obtained as introduced by Scholkopf et al. (2002). While least squares support vector machine ...

A 64-bit dual-core RISC-V processor with vector accelerators has been fabr icated in a 45nm SOI process. This is the first dual-core processor to implement the open-source RISC-V ISA designed at the University of California, Berkeley. In a standard 40nm process, the RISC-V scalar core scores 10% higher in DMIPS/MHz than the Cortex-A5, ARM’s comparable single-issue in-order scalar core, and is 4...

A refined space vector modulation scheme for multilevel inverters, using only the instantaneous sampled reference signals is presented in this paper. The proposed space vector pulse width modulation technique does not require the sector information and look-up tables to select the appropriate switching vectors. The inverter leg switching times are directly obtained from the instantaneous sample...

In [1], Savage described a unified mathematical framework for strapdown inertial navigation algorithm design. The commenting note [2] showed that the " velocity translation vector " (VTV) in the Savage's framework is equivalent to the dual part of an appropriate screw vector in the dual quaternion representation [3] and significantly simplified the VTV rate equation by way of the screw vector r...

Abstract: We compare two mathematical theories that address duality between cycles and vertex-cuts of graphs in geometric settings. First, we propose a rigorous definition of a new type of graph, vector graphs. The special case of R2-vector graphs matches the intuitive notion of drawing graphs with edges taken as vectors. This leads to a discussion of Kirchhoff graphs, as originally presented b...