A desktop application built with Python to provide an intuitive, animated visualization of discrete and continuous time convolution and correlation. This tool is designed for students, educators, and ...

Abstract: Continuous convolution has recently gained prominence due to its ability to handle irregularly sampled data and model long-term dependency. Also, the promising experimental results of using ...

Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

Abstract: Irregular event streams are common in domains such as finance, healthcare, and e-commerce, where the underlying data-generating processes are often highly complex and vary widely in scale.

$$u(x_i) = \sum_{j=1}^{N_S} K(x_i, y_j) \rho_j,\quad \text{for~} i = 1, \ldots, N_T$$ The DMK (dual-space multilevel kernel-splitting) framework uses a hierarchy of ...

Graphical calculus is an intuitive visual notation for manipulating tensors and index contractions. Using graphical calculus leads to simple and memorable derivations, and with a bit of practice one ...

In this unit the characteristics and inter-relations of linear (continuous and discrete) signals and systems will be discussed. Principles of sampling theory, aliasing, correlation, convolution, and ...