- Lists or environments data structures are also acceptable as a whole in
`TRR.fit()`

and`TPR.fit()`

. They can be passed to argument`x`

. - Since the variance-covariance matrix is not available for
`Tenv`

class object, we remove S3 methods`vcov.Tenv()`

. Use function`std_err()`

if the standard error for the tensor coefficient from`TRR.fit()`

is desired. - Improved the computation efficiency by adopting cholesky decomposition in matrix inversion and the calculation of the square root of a matrix.
- Add a real data set
`EEG`

. Refer to R help documentation for more details - Add a new feature to
`predict.Tenv()`

: if the argument`newdata`

is missing, the fitted values from the fitted model is returned.

- Change arguments
`Xn`

and`Yn`

in all functions to`x`

and`y`

in accordance with other popular functions, e.g.,`lm()`

,`glm()`

, etc. `plot.Tenv()`

: Change the name of argument`thrd`

to`level`

.`kroncov`

: Data`Tn`

is centered before the estimation.

- Add some references in Description field in file DESCRIPTION
- Fix the document of
`summary.Tenv`

. - Remove the parameter
`ask`

in plot.Tenv. - Add envelope basis
`Gamma`

list into`bat`

and`square`

datasets. - Change the names of some parameters, like
`bic_max`

to`maxdim`

in`TensEnv_dim`

,`max_iter`

to`maxiter`

in`manifold1D`

,`epsilon`

to`tol`

in`ECD`

,`G_ini`

to`Gamma_init`

in`manifoldFG`

,`G_hat`

to`Gamma`

in`manifoldFG`

,`Yhat`

to`pred`

in`PMSE`

. - Rename
`TRR`

,`TPR`

as`TRR.fit`

,`TPR,fit`

.

`print.Tenv`

: Prints the call, coefficients from`TPR`

and`TRR`

, make the output more concise.`print.summary.Tenv`

: Print call, dimensions of X, Y, sample size, mse, the coefficient and p_value. (invoked implicitly when there is no assignment of`summary.Tenv`

).

- Switch the arguments
`Xn`

and`Yn`

in functions:`TensEnv_dim`

,`TensPLS_cv2d3d`

,`Tenv`

,`Tenv_Pval`

,`TPR`

and`TRR`

. - Removed package
`mvtnorm`

in`DESCRIPTION`

, it is not used in the package. - Move all the packages in
`Depends`

in`DESCRIPTION`

to`Imports`

except for`ManifoldOptim`

. - Add examples to some functions:
`PMSE`

,`TensEnv_dim`

,`TensPLS_cv2d3d`

,`Tenv_Pval`

. - Add simulated data “bat” and “square” with which users can quickly verify the functions in the package.

```
# Usage
> data("bat")
> data("square")
```

`TPR`

,`TRR`

:- Change the output names of some functions. E.g.,
`Bhat`

in the object returned from`TPR`

and`TRR`

is renamed as`coefficients`

. - Append
`fitted.values`

and`residuals`

into the output. - More robust to the input type:
`Yn`

can be vector or matrix and`Xn`

can be matrix, array or tensor for`TPR`

,`Xn`

can be vector or matrix and`Yn`

can be matrix, array or tensor for`TRR`

. - Incorporate
`FG_TRR`

and`FG_TPR`

into`TRR`

and`TPR`

. Add one more option for`method`

, “FG”. Also add argument`Gamma_init`

for “FG” method.

- Change the output names of some functions. E.g.,
`Tenv_Pval`

: Change the data type of outputs from array to tensor. Change the name`se_mat`

to`se`

.`PMSE`

: Rewrite`PMSE`

.`Xn`

can be matrix, array or tensor,`Yn`

can be vector or matrix, and`Bhat`

can be vector, matrix, array or tensor as long as the dimensions match the ones of`Xn`

and`Yn`

.`TRR_sim`

,`TPR_sim`

: Add two simulation functions to generate data used in TRR and TPR which can help user quickly test the functions.

Construct S3 object for `TRR`

and `TPR`

with `class`

attribute “Tenv”

```
> data("bat")
> fit <- TRR(bat$Xn, bat$Yn, method = "standard")
> class(fit)
> [1] "Tenv"
```

`predict.Tenv`

: Make predictions of new data.`summary.Tenv`

: Append dimensions of X,Y, sample size, mse, p_val and s.e. to the output object from`TPR`

and`TRR`

.`plot.Tenv`

: Draw the plot of coefficients from`TRR`

and`TPR`

, and draw p_val plot from`TRR`

.`vcov.Tenv`

: No covariance for coefficients. But for`TRR`

, we print the standard error for coefficients.`fitted.default`

: Calculates the fitted Y for`TPR`

and`TRR`

separately.`residuals.default`

: Calculate Y minus fitted Y for`TPR`

and`TRR`

`coef.default`

: Print the coefficients for`TPR`

and`TRR`

.

`FG_TPR`

,`FG_TRR`

> Help pages for deprecated functions are available at`help("TRES-deprecated")`

.

- Default value
`u=NULL`

for`TPR`

and`TRR`

. - Default value
`maxdim=10`

and`nfold=5`

for`TensPLS_cv2d3d`

`PMSE`

: now accept tensor`Xn`