雅思学习
Language is the interface to most of modern AI. Every chatbot, every search engine with an answer box, every coding assistant — they all rest on one architecture: the Transformer, introduced in the 2017 paper "Attention Is All You Need." If you understand the Transformer, you understand the engine o
Classical machine learning gave you models that are powerful but hand-crafted: someone decides what the features are. Deep learning removes that bottleneck — instead of engineering features, we train networks that learn the features themselves. A convnet does not need you to hand-design edge detecto
Machine learning is the paradigm underneath everything else in this roadmap. Deep learning, large language models, and agents are all instances of the same core idea: learn a function from examples instead of hand-writing rules. If you master the concepts of this stage — the train/test split, overfi
Here is the part most people dread, and here is the secret that makes it easy: you only need four tools, and each one has a plain-English meaning. Machine learning is, at its heart, three operations: 1. Represent things as vectors and matrices linear algebra. 2. Measure how wrong a model is and imp
Every AI system — every model, every training run, every agent — is, underneath, a program running on a computer. If you are not fluent with the machine, every later stage becomes a fight: you will spend your time fighting your environment instead of learning gradient descent or attention mechanisms
You are about to start one of the most rewarding learning journeys available today. Artificial intelligence has moved from research labs into every corner of software, and the skills you will build over the next ten to twelve months are exactly the ones the industry is hiring for right now: understa
AI 学习与交流社区：从数学基础到前沿模型，从原理到应用，覆盖机器学习、深度学习、大语言模型与 AI 产业动态。面向学习者、开发者与研究者，分享可落地的干货与系统化内容。 AI learning and exchange community: from mathematical foundations to frontier models, from principles to applications — machine learning, deep learning, large language models and AI industry news. Open to learners
This focus is organised as seven ascending levels. Each level introduces one mathematical idea, explains why it exists, gives the formula, and then shows exactly where it appears in a real AI system. Level 0 Why math is the language of AI ← the big picture │ Level 1 Linear Algebra rep
In many countries, people are living longer. Some believe that the retirement age should be raised to reflect this. Others argue that people should be allowed to retire earlier, regardless of age. Discuss both views and give your own opinion. Give reasons for your answer and include any relevant e
Many countries have banned or heavily taxed single-use plastic bags. However, plastic pollution remains a serious problem. Why does plastic pollution persist, and what more can be done? Give reasons for your answer and include any relevant examples from your own knowledge or experience. Write at
Some people believe that governments should financially support artists, musicians and theatres. Others argue that the private sector should fund the arts instead. Discuss both views and give your own opinion. Give reasons for your answer and include any relevant examples from your own knowledge o
Tourism is one of the fastest-growing industries in the world. Some people believe it benefits local communities, while others argue it causes more harm than good. Discuss both views and give your own opinion. Give reasons for your answer and include any relevant examples from your own knowledge o
Online learning has become increasingly popular, especially after the COVID-19 pandemic. What are the advantages and disadvantages of studying online compared to studying in a traditional classroom? Give reasons for your answer and include any relevant examples from your own knowledge or experienc
Some people believe that animal testing for medical research should be banned, while others argue that it is necessary for human progress. Discuss both views and give your own opinion. Give reasons for your answer and include any relevant examples from your own knowledge or experience. Write at l
Obesity is becoming more common in many countries. What are the causes of this problem, and what measures can governments take to address it? Give reasons for your answer and include any relevant examples from your own knowledge or experience. Write at least 250 words. <audio src="https://aip
Some people believe that social media has a positive impact on society, while others argue that it has caused more harm than good. To what extent do you agree or disagree? Give reasons for your answer and include any relevant examples from your own knowledge or experience. Write at least 250 word
Some people believe that children should start formal school at the age of four, while others argue that they should not start until they are seven. Discuss both views and give your own opinion. Give reasons for your answer and include any relevant examples from your own knowledge or experience.
Some people believe that museums should be free to enter, while others think that visitors should pay for admission. Discuss both views and give your own opinion. Give reasons for your answer and include any relevant examples from your own knowledge or experience. Write at least 250 words. <
The diagram below shows how solar panels convert sunlight into electricity for household use. Summarise the information by selecting and reporting the main features. Write at least 150 words. 1. 阳光照射到太阳能板上（sunlight hits panels） 2. 光子撞击硅电池（photons strike silicon cells） 3. 电子被激发产生直流电（DC electrici
The pie chart below shows the proportion of new students enrolled in different faculties at one university in 2024. Summarise the information by selecting and reporting the main features, and make comparisons where relevant. Write at least 150 words. | Faculty | % of new students | |---------|-