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---
title: HessianBase (v0.29)
description: API reference for qiskit.aqua.operators.gradients.HessianBase in qiskit v0.29
in_page_toc_min_heading_level: 1
python_api_type: class
python_api_name: qiskit.aqua.operators.gradients.HessianBase
---
# HessianBase
<Class id="qiskit.aqua.operators.gradients.HessianBase" isDedicatedPage={true} github="https://github.com/qiskit-community/qiskit-aqua/tree/stable/0.9/qiskit/aqua/operators/gradients/hessian_base.py" signature="HessianBase(hess_method='param_shift', **kwargs)" modifiers="class">
Bases: `qiskit.aqua.operators.gradients.derivative_base.DerivativeBase`
Base class for the Hessian of an expected value.
**Parameters**
* **hess\_method** (`Union`\[`str`, `CircuitGradient`]) The method used to compute the state/probability gradient. Can be either `'param_shift'` or `'lin_comb'` or `'fin_diff'`. Ignored for gradients w\.r.t observable parameters.
* **kwargs** (*dict*) Optional parameters for a CircuitGradient
**Raises**
**ValueError** If method != `fin_diff` and `epsilon` is not None.
## Methods
<span id="qiskit-aqua-operators-gradients-hessianbase-convert" />
### convert
<Function id="qiskit.aqua.operators.gradients.HessianBase.convert" signature="HessianBase.convert(operator, params=None)" modifiers="abstract">
**Parameters**
* **operator** (`OperatorBase`) The operator we are taking the gradient, Hessian or QFI of
* **params** (`Union`\[`ParameterVector`, `ParameterExpression`, `List`\[`ParameterExpression`], `None`]) The parameters we are taking the gradient, Hessian or QFI with respect to.
**Return type**
`OperatorBase`
**Returns**
An operator whose evaluation yields the gradient, Hessian or QFI.
**Raises**
**ValueError** If `params` contains a parameter not present in `operator`.
</Function>
<span id="qiskit-aqua-operators-gradients-hessianbase-gradient-wrapper" />
### gradient\_wrapper
<Function id="qiskit.aqua.operators.gradients.HessianBase.gradient_wrapper" signature="HessianBase.gradient_wrapper(operator, bind_params, grad_params=None, backend=None)">
Get a callable function which provides the respective gradient, Hessian or QFI for given parameter values. This callable can be used as gradient function for optimizers.
**Parameters**
* **operator** (`OperatorBase`) The operator for which we want to get the gradient, Hessian or QFI.
* **bind\_params** (`Union`\[`ParameterExpression`, `ParameterVector`, `List`\[`ParameterExpression`]]) The operator parameters to which the parameter values are assigned.
* **grad\_params** (`Union`\[`ParameterExpression`, `ParameterVector`, `List`\[`ParameterExpression`], `Tuple`\[`ParameterExpression`, `ParameterExpression`], `List`\[`Tuple`\[`ParameterExpression`, `ParameterExpression`]], `None`]) The parameters with respect to which we are taking the gradient, Hessian or QFI. If grad\_params = None, then grad\_params = bind\_params
* **backend** (`Union`\[`BaseBackend`, `QuantumInstance`, `None`]) The quantum backend or QuantumInstance to use to evaluate the gradient, Hessian or QFI.
**Returns**
Function to compute a gradient, Hessian or QFI. The function takes an iterable as argument which holds the parameter values.
**Return type**
callable(param\_values)
</Function>
<span id="qiskit-aqua-operators-gradients-hessianbase-parameter-expression-grad" />
### parameter\_expression\_grad
<Function id="qiskit.aqua.operators.gradients.HessianBase.parameter_expression_grad" signature="HessianBase.parameter_expression_grad(param_expr, param)" modifiers="static">
Get the derivative of a parameter expression w\.r.t. the given parameter.
**Parameters**
* **param\_expr** (`ParameterExpression`) The Parameter Expression for which we compute the derivative
* **param** (`ParameterExpression`) Parameter w\.r.t. which we want to take the derivative
**Return type**
`Union`\[`ParameterExpression`, `float`]
**Returns**
ParameterExpression representing the gradient of param\_expr w\.r.t. param
</Function>
## Attributes
### hess\_method
<Attribute id="qiskit.aqua.operators.gradients.HessianBase.hess_method">
Returns `CircuitGradient`.
**Return type**
`CircuitGradient`
**Returns**
`CircuitGradient`.
</Attribute>
</Class>