Pattern mining is an essential part of knowledge discovery and data analytics. It a powerful paradigm, especially when combined with constraint reasoning. In this paper, we present Seq2Pat, constraint-based sequential pattern tool high-level declarative user interface. The library finds patterns that frequently occur in large sequence databases subject to constraints. We highlight key benefits ...

Attention-based Transformer models have been increasingly employed for automatic music generation. To condition the generation process of such a model with user-specified sequence, popular approach is to take that conditioning sequence as priming and ask decoder generate continuation. However, this prompt-based cannot guarantee would develop or even simply repeat itself in generated In p...

Let R be a commutative Noetherian ring and let M be a nitely generated R-module. If I is an ideal of R generated by M-regular sequence, then we study the vanishing of the rst Tor functors. Moreover, for Artinian modules and coregular sequences we examine the vanishing of the rst Ext functors.