How to Write Prompts for Large Language Models in Mathematical Modeling Competitions

How to Write Prompts for Large Language Models in Mathematical Modeling Competitions

In large language models, a “prompt” refers to the input text provided to the model to instruct or guide it to produce specific outputs. Its main function is to inform the model about what kind of information the user wants to obtain or what kind of task they want to complete. For example, when using … Read more

Essential Algorithms and Models in Mathematical Modeling

Essential Algorithms and Models in Mathematical Modeling

There are numerous models in mathematical modeling, but looking through the past competition problems of the National and American competitions, the main types frequently tested in mathematical modeling competitions are: evaluation type, prediction type, optimization type, and mechanism analysis type. Evaluation type problems require assessing and analyzing a certain system, phenomenon, or plan. When modeling … Read more

Development and Application of an Expert System for Optimizing Oxidized Pellet Production

Development and Application of an Expert System for Optimizing Oxidized Pellet Production

Wugang Ezhou Pellet Plant Chain Grate Machine–Development and Application of an Expert System for Optimizing Oxidized Pellet Production in Rotary Kiln Fan Xiaohui1, Shu Fanghua2, Yang Guiming1, Chen Xuling1, Chen Jianhua2, Huang Hanchang2, Zhen Cailing2, Luo Fuhui2, Li Xi1 ( 1. School of Resource Processing and Bioengineering, Central South University, Hunan Changsha 410083; 2. Wugang … Read more

Mathematical Principles Behind Artificial Neural Networks

Mathematical Principles Behind Artificial Neural Networks

About 8000 words, recommended reading time 20 minutes. This article introduces the mathematical principles behind artificial neural networks. Introduction When it comes to artificial intelligence algorithms, artificial neural networks (ANN) are an unavoidable topic. However, for beginners, it is often easy to be overwhelmed by the complex concepts and formulas in ANN, leading to a … Read more

Unveiling the Mathematical Principles of Transformers

Unveiling the Mathematical Principles of Transformers

Machine Heart Reports Editor: Zhao Yang Recently, a paper was published on arXiv, providing a new interpretation of the mathematical principles behind Transformers. The content is extensive and rich in knowledge, and I highly recommend reading the original. In 2017, Vaswani et al. published “Attention Is All You Need,” marking a significant milestone in the … Read more