/** @import {InputType} from "../index.js" */
/** @import {ParametersMDS} from "./index.js" */
/** @import {EigenArgs} from "../linear_algebra/index.js" */
/**
 * Classical Multidimensional Scaling (MDS)
 *
 * A linear dimensionality reduction technique that seeks to preserve the
 * pairwise distances between points as much as possible in the lower-dimensional
 * space.
 *
 * @class
 * @template {InputType} T
 * @extends DR<T, ParametersMDS>
 * @category Dimensionality Reduction
 * @see {@link PCA} for another linear alternative
 */
export class MDS<T extends InputType> extends DR<T, ParametersMDS> {
  /**
   * @template {InputType} T
   * @param {T} X
   * @param {Partial<ParametersMDS>} [parameters]
   * @returns {T}
   */
  static transform<T_1 extends InputType>(X: T_1, parameters?: Partial<ParametersMDS>): T_1;
  /**
   * @template {InputType} T
   * @param {T} X
   * @param {Partial<ParametersMDS>} [parameters]
   * @returns {Generator<T, T, void>}
   */
  static generator<T_1 extends InputType>(
    X: T_1,
    parameters?: Partial<ParametersMDS>,
  ): Generator<T_1, T_1, void>;
  /**
   * @template {InputType} T
   * @param {T} X
   * @param {Partial<ParametersMDS>} [parameters]
   * @returns {Promise<T>}
   */
  static transform_async<T_1 extends InputType>(
    X: T_1,
    parameters?: Partial<ParametersMDS>,
  ): Promise<T_1>;
  /**
   * Classical MDS.
   *
   * @param {T} X - The high-dimensional data.
   * @param {Partial<ParametersMDS>} [parameters] - Object containing parameterization of the DR method.
   */
  constructor(X: T, parameters?: Partial<ParametersMDS>);
  /**
   * Transforms the inputdata `X` to dimensionality `d`.
   *
   * @returns {Generator<T, T, void>} A generator yielding the intermediate steps of the projection.
   */
  generator(): Generator<T, T, void>;
  /**
   * Transforms the inputdata `X` to dimensionality `d`.
   *
   * @returns {T}
   */
  transform(): T;
  _d_X: Matrix | undefined;
  /** @returns {number} - The stress of the projection. */
  stress(): number;
}
import type { InputType } from "../index.js";
import type { ParametersMDS } from "./index.js";
import { DR } from "./DR.js";
import { Matrix } from "../matrix/index.js";
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