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Activation: ReLU6 Scalar Value Tool

Evaluate the bounded ReLU6 activation clamp in [0,6]; no quantized integer scale or neural-network engine.

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Description

Return min(6,max(0,x)), clipping the scalar input into the closed interval [0,6].

ReLU clips negative input to zero; ReLU6 also clips above six. Saturated outputs have entire input rays as preimages, unlike interior values with single inverses. At a ReLU kink a selected subgradient is not an ordinary two-sided derivative.

Return min(6,max(0,x)), clipping the scalar input into the closed interval [0,6].

When to use this tool

Use Activation: ReLU6 Scalar Value when checking the stated rectifier value, inverse region or subgradient convention.

How to use the tool and how it works

  1. Enter x. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read result. Expand result to inspect the returned fields.

Return min(6,max(0,x)), clipping the scalar input into the closed interval [0,6].1

Input fieldMeaning and unitsAccepted input
xFinite scalar input coordinate; use the mathematical scale specified above.Required. Finite number.
Output fieldInterpretationReturned shape
resultObject containing the operation-specific returned members listed below.Required. Object.
result.valueValueCalculated result member: number.
json
{
  "input": {
    "x": 8
  },
  "output": {
    "result": {
      "value": 6
    }
  }
}

Limitations and assumptions

  • This is a value calculation; derivative choices at zero/six, tensor execution and quantization are not implemented.
  • Outputs are nested inside result. 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

Use the complete explicit function and the intended parameter, branch and numerical conventions for symbolic, tensor or model-level differentiation; assess training behavior independently.

References

  1. Calculation and input contract: activation/relu6-scalar-value — tool.io

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