LESSON 48 OF 52 · CHAPTER 06

Log Space

logsumexp and logsoftmax without exponential overflow

ORIGINAL SOURCE

07-log-space.srp

// Stable score normalization without exponential overflow.
print(logsumexp([0.0]));
print(logsoftmax([0.0, -1000.0]));
EXPECTED OUTPUT

stdout

Verified
0.0
[0.0, -1000.0]

UNDERSTAND THE CODE

Explanation & practice

What this example teaches

logsumexp and logsoftmax without exponential overflow

Expected behavior

0.0, then [0.0, -1000.0]

Practice: Read the source before looking at the output. Predict the values and their order, then use the pinned compiler to execute this lesson and compare the exact fixture. Identify which operation produces the result.

लॉग स्पेस में स्थिर गणना

logsumexp और logsoftmax लॉग स्कोर पर काम करते हैं, जिससे सीधे बहुत बड़े/छोटे exponential निकालने की कठिनाई कम होती है। यह गणितीय सुविधा है, सम्पूर्ण AI framework नहीं।

आउटपुट: पहली पंक्ति 0.0, दूसरी [0.0, -1000.0] है।

अभ्यास: सीधे exp(-1000) निकालने के बजाय log-space में काम करने से क्या लाभ हो सकता है?

Explanations are sourced from the project's English chapter guide and हिन्दी अध्याय. The Scarp program and output are unchanged.

TRY IT LOCALLY

Verify, then execute

Use the pinned compiler from the course root. Keep any imported _support files next to the source.

scarp verify examples/06-ai-foundations/07-log-space.srp scarp exec examples/06-ai-foundations/07-log-space.srp

The website does not run code. Read the CLI guide ↗

Pinned compiler: Scarp v0.0.6-alpha.3 · ceff07d9014f. No simulated output.