For radar target tracking with nonlinear position and range rate measurements, a debiased measurement matrix-based linear sequential filtering method with an adaptive parameter is proposed. A concise ...

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The development of low-loss reconfigurable integrated optical devices enables further research into technologies including photonic signal processing, analogue quantum computing, and optical neural ...

This is the equivalent of linear algebra—performing matrix multiplication. However, AI models are often used to find intricate patterns in data where the output is not always proportional to the ...

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Coefficient Matrix and Augmented Matrix The coefficient matrix of a system of linear equations is simply the matrix whose rows consist of lists of coefficients of each equation.

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Matrix multiplications (MatMul) are the most computationally expensive operations in large language models (LLM) using the Transformer architecture. As LLMs scale to larger sizes, the cost of ...

In addition, we provide an implementation of lin-RFM that scales to matrices with millions of missing entries. Our implementation is faster than the standard IRLS algorithms since it avoids forming ...