[39] proposed gear fault diagnosis method by combining the motor current signature analysis, the geometrical patterns of Frenet-Serret properties and the Park transforms with three-phased electrical signals. Yu et al. [40] proposed sparse time-frequency representation for the transient signal based ...
Signal representation and processing are the backbone of mathematically-aided engineering. Among the myriad of ideas and results in that realm, many sorts of algorithms and techniques capable of learning from experience have taken the stage in the last decades, with a crescendo of great successes ...
limiting speed of motionsatellite positioning signalsThe geometric representation of the space of events is proposed, which is radically different from pseudo-Euclidian Minkowski space. In the framework of the new model, the space of events is reflected onto a four-dimensional Euclidian space in ...
Book 2011, Signals and Systems using MATLABLuis F. Chaparro Chapter Mathematical Foundations of Randomness 2 Strings, Sequences, Cantor Space, and Lebesgue Measure We use the term “string” (if not further qualified) to be a synonym for “finite sequence”, and the term “sequence” (if not...
Geometric deep learning (GDL) is based on neural network architectures that incorporate and process symmetry information. GDL bears promise for molecular modelling applications that rely on molecular representations with different symmetry properties and
(Supplementary Figs.3–5and Supplementary Information3). Together these findings indicate that cortical geometric eigenmodes form a compact representation that captures diverse aspects of task-evoked and spontaneous cortical activity. Moreover, they show that such activity is dominated by long-wavelength,...
Sparse signal representation has been proven to be an extremely powerful tool for acquiring and representing signals, which is widely used in computer vision and pattern recognition. This success is mainly due to the fact that important classes of signals such as audio and images have naturally ...
The representation of the protein–protein complex derived from the graph transformer is obtained through a pooling operation. This resulting representation is then concatenated with the output of the evolutionary scale protein language model (ESM) model. This concatenation leads to the generation of the...
we present DocGeoNet for document image rectification by introducing explicit geometric representation. Technically, two typical attributes of the document image are involved in the proposed geometric representation learning,i.e., 3D shape and textlines. Our motivation raises from the insight that 3D ...
This chapter focuses on two types of geometric configurations: one is defined by a set of points; the other is described by a surface mesh representation. Both registration methods play a critical role in various medical image analysis applications, biomedical research, and clinical practice. This ...