DotProduct
Dot-Product kernel.
The DotProduct kernel is non-stationary and can be obtained from linear regression by putting \(N(0, 1)\) priors on the coefficients of \(x_d (d = 1, . . . , D)\) and a prior of \(N(0, \sigma_0^2)\) on the bias. The DotProduct kernel is invariant to a rotation of the coordinates about the origin, but not translations. It is parameterized by a parameter sigma_0 \(\sigma\) which controls the inhomogenity of the kernel. For \(\sigma_0^2 =0\), the kernel is called the homogeneous linear kernel, otherwise it is inhomogeneous. The kernel is given by
Python Reference (opens in a new tab)
Constructors
constructor()
Signature
new DotProduct(opts?: object): DotProduct;Parameters
| Name | Type | Description |
|---|---|---|
opts? | object | - |
opts.sigma_0? | any | Parameter controlling the inhomogenity of the kernel. If sigma_0=0, the kernel is homogeneous. Default Value 1 |
opts.sigma_0_bounds? | "fixed" | The lower and upper bound on ‘sigma_0’. If set to “fixed”, ‘sigma_0’ cannot be changed during hyperparameter tuning. |
Returns
Defined in: generated/gaussian_process/kernels/DotProduct.ts:23 (opens in a new tab)
Properties
_isDisposed
boolean=false
Defined in: generated/gaussian_process/kernels/DotProduct.ts:21 (opens in a new tab)
_isInitialized
boolean=false
Defined in: generated/gaussian_process/kernels/DotProduct.ts:20 (opens in a new tab)
_py
PythonBridge
Defined in: generated/gaussian_process/kernels/DotProduct.ts:19 (opens in a new tab)
id
string
Defined in: generated/gaussian_process/kernels/DotProduct.ts:16 (opens in a new tab)
opts
any
Defined in: generated/gaussian_process/kernels/DotProduct.ts:17 (opens in a new tab)
Accessors
hyperparameter_sigma_0
Signature
hyperparameter_sigma_0(): Promise<any>;Returns
Promise<any>
Defined in: generated/gaussian_process/kernels/DotProduct.ts:250 (opens in a new tab)
py
Signature
py(): PythonBridge;Returns
PythonBridge
Defined in: generated/gaussian_process/kernels/DotProduct.ts:40 (opens in a new tab)
Signature
py(pythonBridge: PythonBridge): void;Parameters
| Name | Type |
|---|---|
pythonBridge | PythonBridge |
Returns
void
Defined in: generated/gaussian_process/kernels/DotProduct.ts:44 (opens in a new tab)
Methods
__call__()
Return the kernel k(X, Y) and optionally its gradient.
Signature
__call__(opts: object): Promise<ArrayLike[]>;Parameters
| Name | Type | Description |
|---|---|---|
opts | object | - |
opts.X? | ArrayLike[] | Left argument of the returned kernel k(X, Y) |
opts.Y? | ArrayLike[] | Right argument of the returned kernel k(X, Y). If undefined, k(X, X) if evaluated instead. |
opts.eval_gradient? | boolean | Determines whether the gradient with respect to the log of the kernel hyperparameter is computed. Only supported when Y is undefined. Default Value false |
Returns
Promise<ArrayLike[]>
Defined in: generated/gaussian_process/kernels/DotProduct.ts:110 (opens in a new tab)
clone_with_theta()
Returns a clone of self with given hyperparameters theta.
Signature
clone_with_theta(opts: object): Promise<any>;Parameters
| Name | Type | Description |
|---|---|---|
opts | object | - |
opts.theta? | ArrayLike | The hyperparameters |
Returns
Promise<any>
Defined in: generated/gaussian_process/kernels/DotProduct.ts:159 (opens in a new tab)
diag()
Returns the diagonal of the kernel k(X, X).
The result of this method is identical to np.diag(self(X)); however, it can be evaluated more efficiently since only the diagonal is evaluated.
Signature
diag(opts: object): Promise<ArrayLike>;Parameters
| Name | Type | Description |
|---|---|---|
opts | object | - |
opts.X? | ArrayLike[] | Left argument of the returned kernel k(X, Y). |
Returns
Promise<ArrayLike>
Defined in: generated/gaussian_process/kernels/DotProduct.ts:194 (opens in a new tab)
dispose()
Disposes of the underlying Python resources.
Once dispose() is called, the instance is no longer usable.
Signature
dispose(): Promise<void>;Returns
Promise<void>
Defined in: generated/gaussian_process/kernels/DotProduct.ts:93 (opens in a new tab)
init()
Initializes the underlying Python resources.
This instance is not usable until the Promise returned by init() resolves.
Signature
init(py: PythonBridge): Promise<void>;Parameters
| Name | Type |
|---|---|
py | PythonBridge |
Returns
Promise<void>
Defined in: generated/gaussian_process/kernels/DotProduct.ts:53 (opens in a new tab)
is_stationary()
Returns whether the kernel is stationary.
Signature
is_stationary(opts: object): Promise<any>;Parameters
| Name | Type |
|---|---|
opts | object |
Returns
Promise<any>
Defined in: generated/gaussian_process/kernels/DotProduct.ts:227 (opens in a new tab)