About Supports of Local Cohomology Modules

Carlos Henrique Tognon — Sat, 21 Sep 2024 00:00:00 +0000

The article provides the relation between the theory of local cohomology modules, and vanishing results, and also about the theory of support of such modules. Here, we put results about the theory, and also we provide a relation of local cohomology in the theory of commutative algebra and homological algebra.

Multi Time Series WA-LSTM-Adam for Water Level Forecasting in Center Vietnam

Thu, 10 Oct 2024 00:00:00 +0000

The central region of Vietnam suffers from oods almost every year as a result of a combination of frequent storms, heavy rainfall, and short, steep rivers in the region. This is a big problem because they can negatively affect the economy of the region as well as people's lives when not managed properly. Therefore, it is important to have a reliable forecasting method for ooding in order to ensure effective natural disaster management. In this research, we aim at addressing this issue by introducing a multi time series hybrid deep learning model that combines WA (wavelet analysis) and LSTM (long-short-term memory) optimized with the Adam algorithm and uses water level and rainfall data as the input variables. Compared to other traditional methods and some recent models, our WA-LSTM-Adam method shows better results overall.

Asian Journal of Mathematics and Computer Research

About Supports of Local Cohomology Modules

Multi Time Series WA-LSTM-Adam for Water Level Forecasting in Center Vietnam