/**
 * Baum-Welch Algorithm (EM) for Hidden Markov Models
 *
 * Learns HMM parameters from observations using Expectation-Maximization
 */
import { BaumWelchOptions } from '../../schemas/BaumWelchOptionsSchema';
import { HMMModel } from '../../schemas/HMMModelSchema';
/**
 * Baum-Welch Algorithm
 *
 * @param observations - T x D matrix of observations
 * @param numStates - Number of hidden states
 * @param options - Training options (maxIterations, tolerance, initial model)
 * @returns Trained HMM model
 *
 * @example
 * ```typescript
 * const model = baumWelch(observations, 3, {
 *   maxIterations: 100,
 *   convergenceTolerance: 1e-6
 * });
 * ```
 */
export declare function baumWelch(observations: number[][], numStates: number, options: BaumWelchOptions): HMMModel;