Abstract: Catalytic cracking unit is a highly dynamic industrial process involving complex chemical reactions, catalyst circulation, temperature and pressure changes, and control system regulation. To ...

While retrieval-augmented generation is effective for simpler queries, advanced reasoning questions require deeper connections between information that exist across documents. They require a knowledge ...

The original version of this story appeared in Quanta Magazine. Much of mathematics is driven by intuition, by a deep-rooted sense of what should be true. But sometimes instinct can lead a ...

School of Mathematics and Statistics, Shandong Normal University, Jinan, China. In the next section, a statement of the problem is introduced. Afterwards, the proof of the main results is established.

I know that for chordal graphs, Sage has a function to recognize a perfect elimination ordering. This problem is somewhat similar, identifying chordal bipartite graphs. The following theorem is ...

In-context learning (ICL) enables LLMs to adapt to new tasks by including a few examples directly in the input without updating their parameters. However, selecting appropriate in-context examples ...

The following code demonstrates a problem when using the GATv2Conv layer in a bipartite graph scenario. Specifically, the issue arises when the source and destination ...