Description
Multiply contextMass in [0, 1] by nonnegative conditionalLength for weightedLength.
A code's symbol cost, length, overhead, and expected rate use different denominators. An ideal information budget is not necessarily the measured size of a practical encoded message.
Multiply contextMass in [0, 1] by nonnegative conditionalLength for weightedLength.
When to use this tool
Use Conditional Codebook Context Weight when you need one explicit coding-cost or redundancy component.
How to use the tool and how it works
- Enter contextMass, conditionalLength. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read weightedLength. Use the output convention below.
Multiply contextMass in [0, 1] by nonnegative conditionalLength for weightedLength.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| contextMass | Context Mass | Required. Finite number; minimum 0; maximum 1. |
| conditionalLength | Conditional Length | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| weightedLength | Weighted Length | Required. Finite number. |
{
"input": {
"contextMass": 0.25,
"conditionalLength": 8
},
"output": {
"weightedLength": 2
}
}Limitations and assumptions
- Length units are supplied; this is one context-weighted term rather than a complete conditional code length or probability model.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Inspect the complete codebook and format, including headers, termination, padding, and source probabilities.
References
Similar or alternative tools
- Entropy Rate Fixed Block Overhead
Multiply symbols by entropyPerSymbol for payloadBits, add headerBits, and divide by positive symbols for bitsPerSymbol.
- Code Length Variance One Symbol Term
Multiply probability in [0, 1] by (length - averageLength)² with nonnegative lengths.