https://github.com/stdlib-js/stats-incr-rss
Compute the residual sum of squares (RSS) incrementally.
https://github.com/stdlib-js/stats-incr-rss
delta deviation diff difference err error incremental javascript math mathematics node node-js nodejs residuals rss sse ssr statistics stats stdlib
Last synced: 6 months ago
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Compute the residual sum of squares (RSS) incrementally.
- Host: GitHub
- URL: https://github.com/stdlib-js/stats-incr-rss
- Owner: stdlib-js
- License: apache-2.0
- Created: 2021-06-15T16:14:53.000Z (over 4 years ago)
- Default Branch: main
- Last Pushed: 2025-04-07T02:15:23.000Z (6 months ago)
- Last Synced: 2025-04-12T17:54:13.834Z (6 months ago)
- Topics: delta, deviation, diff, difference, err, error, incremental, javascript, math, mathematics, node, node-js, nodejs, residuals, rss, sse, ssr, statistics, stats, stdlib
- Language: JavaScript
- Homepage: https://github.com/stdlib-js/stdlib
- Size: 423 KB
- Stars: 1
- Watchers: 3
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- Contributing: CONTRIBUTING.md
- License: LICENSE
- Code of conduct: CODE_OF_CONDUCT.md
- Citation: CITATION.cff
- Security: SECURITY.md
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README
About stdlib...
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# incrrss
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
> Compute the [residual sum of squares][residual-sum-of-squares] (RSS) incrementally.
The [**residual sum of squares**][residual-sum-of-squares] (also referred to as the **sum of squared residuals** (SSR) and the **sum of squared errors** (SSE)) is defined as
```math
\mathop{\mathrm{RSS}} = \sum_{i=0}^{n-1} (y_i - x_i)^2
```
## Installation
```bash
npm install @stdlib/stats-incr-rss
```
Alternatively,
- To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).
- If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).
- For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).
The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.
To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.
## Usage
```javascript
var incrrss = require( '@stdlib/stats-incr-rss' );
```
#### incrrss()
Returns an accumulator `function` which incrementally computes the [residual sum of squares][residual-sum-of-squares].
```javascript
var accumulator = incrrss();
```
#### accumulator( \[x, y] )
If provided input values `x` and `y`, the accumulator function returns an updated [residual sum of squares][residual-sum-of-squares]. If not provided input values `x` and `y`, the accumulator function returns the current [residual sum of squares][residual-sum-of-squares].
```javascript
var accumulator = incrrss();
var r = accumulator( 2.0, 3.0 );
// returns 1.0
r = accumulator( -1.0, -4.0 );
// returns 10.0
r = accumulator( -3.0, 5.0 );
// returns 74.0
r = accumulator();
// returns 74.0
```
## Notes
- Input values are **not** type checked. If provided `NaN` or a value which, when used in computations, results in `NaN`, the accumulated value is `NaN` for **all** future invocations. If non-numeric inputs are possible, you are advised to type check and handle accordingly **before** passing the value to the accumulator function.
## Examples
```javascript
var randu = require( '@stdlib/random-base-randu' );
var incrrss = require( '@stdlib/stats-incr-rss' );
var accumulator;
var v1;
var v2;
var i;
// Initialize an accumulator:
accumulator = incrrss();
// For each simulated datum, update the residual sum of squares...
for ( i = 0; i < 100; i++ ) {
v1 = ( randu()*100.0 ) - 50.0;
v2 = ( randu()*100.0 ) - 50.0;
accumulator( v1, v2 );
}
console.log( accumulator() );
```
* * *
## See Also
- [`@stdlib/stats-incr/mrss`][@stdlib/stats/incr/mrss]: compute a moving residual sum of squares (RSS) incrementally.
- [`@stdlib/stats-incr/mse`][@stdlib/stats/incr/mse]: compute the mean squared error (MSE) incrementally.
- [`@stdlib/stats-incr/rmse`][@stdlib/stats/incr/rmse]: compute the root mean squared error (RMSE) incrementally.
* * *
## Notice
This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].
#### Community
[![Chat][chat-image]][chat-url]
---
## License
See [LICENSE][stdlib-license].
## Copyright
Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].
[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-incr-rss.svg
[npm-url]: https://npmjs.org/package/@stdlib/stats-incr-rss
[test-image]: https://github.com/stdlib-js/stats-incr-rss/actions/workflows/test.yml/badge.svg?branch=main
[test-url]: https://github.com/stdlib-js/stats-incr-rss/actions/workflows/test.yml?query=branch:main
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-incr-rss/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-incr-rss?branch=main
[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg
[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im
[stdlib]: https://github.com/stdlib-js/stdlib
[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors
[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules
[deno-url]: https://github.com/stdlib-js/stats-incr-rss/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-incr-rss/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-incr-rss/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-incr-rss/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-incr-rss/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-incr-rss/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-incr-rss/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-incr-rss/main/LICENSE
[residual-sum-of-squares]: https://en.wikipedia.org/wiki/Residual_sum_of_squares
[@stdlib/stats/incr/mrss]: https://github.com/stdlib-js/stats-incr-mrss
[@stdlib/stats/incr/mse]: https://github.com/stdlib-js/stats-incr-mse
[@stdlib/stats/incr/rmse]: https://github.com/stdlib-js/stats-incr-rmse