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QuantizeLinear
Description
The linear quantization operator consumes a high-precision tensor, a scale, and a zero point to compute the low-precision/quantized tensor. The scale factor and zero point must have the same shape, determining the quantization granularity. The quantization formula isΒ yΒ =Β saturate((xΒ /Β y_scale)Β +Β y_zero_point).

Saturation is done according to:
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- uint16: [0, 65535]
- int16: [-32768, 32767]
- uint8: [0, 255]
- int8: [-128, 127]
- uint4: [0, 15]
- int4: [-8, 7]
ForΒ (xΒ /Β y_scale), it rounds to the nearest even. Refer toΒ https://en.wikipedia.org/wiki/RoundingΒ for details.
y_zero_pointΒ andΒ yΒ must have the same type.Β y_zero_pointΒ is usually not used for quantization to float8 and 4bit types, but the quantization formula remains the same for consistency, and the type of the attributeΒ y_zero_pointΒ still determines the quantization type.Β xΒ andΒ y_scaleΒ are allowed to have different types. The type ofΒ y_scaleΒ determines the precision of the division operation betweenΒ xΒ andΒ y_scale, unless theΒ precisionΒ attribute is specified.
There are three supported quantization granularities, determined by the shape ofΒ y_scale. In all cases,Β y_zero_pointΒ must have the same shape asΒ y_scale.
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- Per-tensor (per-layer) quantization:Β
y_scaleΒ is a scalar. - Per-axis quantization: The scale must be a 1-D tensor, with the length of the quantization axis. For an input shapeΒ
(D0,Β ...,Β Di,Β ...,Β Dn)Β andΒaxis=i,Βy_scaleΒ is a 1-D tensor of lengthΒDi. - Blocked quantization: The scaleβs shape is identical to the inputβs shape, except for one dimension, in which blocking is performed. GivenΒ
xΒ shapeΒ(D0,Β ...,Β Di,Β ...,Β Dn),Βaxis=i, and block sizeΒB:Βy_scaleΒ shape isΒ(D0,Β ...,Β ceil(Di/B),Β ...,Β Dn).
- Per-tensor (per-layer) quantization:Β
Input parameters
specified_outputs_name :Β array, this parameter lets you manually assign custom names to the output tensors of a node.
Β Graphs in :Β cluster, ONNX model architecture.
x (heterogeneous) –Β T1 : object, N-D full precision Input tensor to be quantized.
y_scale (heterogeneous) – T2 : object, scale for doing quantization to getΒ y. For per-tensor/layer quantization the scale is a scalar, for per-axis quantization it is a 1-D Tensor and for blocked quantization it has the same shape as the input, except for one dimension in which blocking is performed.
y_zero_point (optional, heterogeneous) – T3 : object, zero point for doing quantization to getΒ y. Shape must matchΒ y_scale. Default is uint8 with zero point of 0 if itβs not specified.
Β Parameters : cluster,
axis : integer, the axis of the dequantizing dimension of the input tensor. Used only for per-axis and blocked quantization. Negative value means counting dimensions from the back. Accepted range isΒ [-r,Β r-1]Β whereΒ rΒ =Β rank(input). When the rank of the input is 1, per-tensor quantization is applied, rendering the axis unnecessary in this scenario.
Default value β0β.
saturateΒ :Β boolean, the parameter defines how the conversion behaves if an input value is out of range of the destination type. It only applies for float 8 quantization (float8e4m3fn, float8e4m3fnuz, float8e5m2, float8e5m2fnuz). It is true by default. All cases are fully described in two tables inserted in the operator description.
Default value βTrueβ.
Β training?Β :Β boolean, whether the layer is in training mode (can store data for backward).
Default value βTrueβ.
Β lda coeff :Β float, defines the coefficient by which the loss derivative will be multiplied before being sent to the previous layer (since during the backward run we go backwards).
Default value β1β.
Β name (optional) :Β string, name of the node.
Output parameters
y (heterogeneous) –Β T3 : object, N-D quantized output tensor. It has same shape as inputΒ x.
Type Constraints
T1 in (tensor(bfloat16),Β tensor(float),Β tensor(float16),Β tensor(int32)) : The type of the input βxβ.
T2 in (tensor(bfloat16),Β tensor(float),Β tensor(float16),Β tensor(float8e8m0),Β tensor(int32)) : The type of the input βy_scaleβ.
T3 in (tensor(float4e2m1),Β tensor(float8e4m3fn),Β tensor(float8e4m3fnuz),Β tensor(float8e5m2),Β tensor(float8e5m2fnuz),Β tensor(int16),Β tensor(int4),Β tensor(int8),Β tensor(uint16),Β tensor(uint4),Β tensor(uint8)) : The type of the inputΒ y_zero_pointΒ and the outputΒ y.
