逐元素运算与归约
沿选定的轴求和、求均值和求最大值
逐元素运算与归约 是 CoddyKit 上的免费 Deep Learning Academy 课时。 这是第 2 节课，共 4 节。 你可以在下方免费阅读本课时的完整内容 — 然后在浏览器中使用内置代码编辑器和全天候 AI 导师进行实践。 这是 Deep Learning Academy 学习路径的一部分，你的进度在网页和 CoddyKit 应用中同步。 Deep Learning Academy 课程共包含 4 节课。
本课时的部分内容尚未翻译，以英文显示。
Two Kinds of Operations
Tensor math splits into two families: elementwise ops that keep the shape, and reductions that collapse it down to fewer numbers.
Elementwise Keeps the Shape
An elementwise op applies the same action to every entry independently. Input shape in, same shape out, no mixing between positions.
b = a * 2 + 1
# same shape as a, every element transformedPairwise Elementwise Math
With two tensors of equal shape, elementwise ops act position by position. Add matches index to index, multiply does the same.
c = a + b
d = a * bMath Functions Are Elementwise Too
Functions like torch.relu, exp, and sqrt run elementwise. Each number is transformed on its own, and the tensor keeps its original shape.
r = torch.relu(x)
e = torch.exp(x)Reductions Collapse Numbers
A reduction combines many values into fewer. Sum, mean, and max fold a whole tensor down, by default to a single scalar.
total = x.sum()
avg = x.mean()The dim Argument Picks an Axis
Pass dim to reduce along one axis only. The chosen axis disappears while the others stay, so a 2D tensor becomes 1D.
col_sums = x.sum(dim=0)
row_means = x.mean(dim=1)keepdim Saves the Shape
Set keepdim=True to keep the reduced axis as size 1. That preserved shape is what makes later broadcasting line up cleanly.
m = x.max(dim=1, keepdim=True).valuesMean Needs Floats
mean divides, so it expects floating-point input. Call it on an integer tensor and PyTorch will complain until you cast to float first.
avg = x.float().mean()argmax Finds the Winner
Sometimes you want the position, not the value. argmax returns the index of the largest entry, which is how a classifier picks its predicted class.
pred = logits.argmax(dim=1)Chain Them Together
Real code stacks both kinds: an elementwise transform feeds a reduction. Square the errors, then take the mean, and you have mean squared error.
mse = ((pred - target) ** 2).mean()Pick Shape-Keeping or Shape-Shrinking
The rule of thumb: reach for elementwise when every value should change in place, and reach for a reduction when you need a summary like a total or average.
Quick Check
Can you tell which operation changes a tensor shape?
Recap: Transform vs Summarize
Elementwise ops keep the shape and act per value; reductions like sum and mean collapse it, with dim and keepdim controlling exactly how. 🎯
常见问题解答
「逐元素运算与归约」课时是免费的吗？
是的 — 「逐元素运算与归约」的完整文本可在网页上免费阅读。要进行交互式练习（内置代码编辑器和全天候 AI 导师）并解锁 Deep Learning Academy 课程的其余内容，请升级到 CoddyKit PRO。 Deep Learning Academy 课程共包含 4 节课。
「逐元素运算与归约」这节课中我会学到什么？
沿选定的轴求和、求均值和求最大值 你通过在浏览器中直接运行的动手代码来练习 Deep Learning Academy，全天候 AI 导师会在你学习这节课的过程中回答你的问题。
学习 Deep Learning Academy 需要有经验吗？
无需任何先前经验。CoddyKit 上的 Deep Learning Academy 课程适合初学者到高级学习者，你可以从这里开始或从头开始，按照自己的节奏学习。 这是第 2 节课，共 4 节。
「逐元素运算与归约」课时需要多长时间？
大多数 CoddyKit 课程大约需要 5–10 分钟。每节课都很精短且互动，所以你能稳步进步，并在网页和应用中从离开的地方继续。
我能在这节 Deep Learning Academy 课中编写并运行代码吗？
能。每节 Deep Learning Academy 课都包含内置代码编辑器，你可以在浏览器中直接编写并运行真实代码，并获得即时 AI 反馈 — 无需本地设置。