Стратегия «Matrix Machine Learning»

Описание

Matrix Machine Learning — это пример из образовательного проекта «MQL5Book» для MetaTrader 5. Оригинальный скрипт загружает окно последних тиков, превращает последовательность приращений цены в бинарный поток и обучает рекуррентную сеть Хопфилда. Затем веса проверяются на обучающем и форвардном сегменте, после чего направление первой компоненты прогноза (+1 — рост, -1 — падение) используется для открытия позиции.

Перенос на C# выполнен с использованием высокоуровневого API StockSharp. Вместо тиков применяются закрытые свечи, что обеспечивает предсказуемую работу в разных источниках данных. При каждом закрытии свечи стратегия обновляет бинарный паттерн, заново обучает сеть, рассчитывает статистику точности и формирует онлайн-прогноз.

Детали алгоритма

Собрать HistoryDepth последних закрытий свечей. Последние ForwardDepth значений образуют форвардный набор, остальные — обучающую выборку.
Преобразовать последовательность разностей закрытий в бинарный ряд: неотрицательные изменения становятся +1, отрицательные — -1.
По каждому окну длиной PredictorLength + ForecastLength вычислить внешнее произведение векторов входа и ответа и просуммировать его — так строится матрица весов сети Хопфилда.
Оценить веса на обучающем и форвардном сегментах. Метрика совпадает с оригиналом: усреднённый скалярный результат между прогнозом и фактическим ответом переводится в процент точности.
Построить свежий бинарный паттерн, запустить итерационный цикл Хопфилда (tanh-активация и контроль сходимости) и использовать первую компоненту прогноза для принятия торгового решения.

Параметры

History Depth — объём истории закрытий, хранящейся в памяти сети. Должен быть больше ForwardDepth и не меньше PredictorLength + ForecastLength + 1.
Forward Depth — размер форвардного окна для проверки модели. Требует минимум ForecastLength + 1 свечей.
Predictor Length — длина бинарного входного вектора нейросети.
Forecast Length — количество шагов, которые предсказывает выходной вектор.
Candle Type — тип свечей StockSharp, запрашиваемых у коннектора.
Debug Log — при активации выводит подробные данные о расчётах и прогнозах.

Торговая логика

Если первая компонента прогноза положительна и текущая позиция ≤ 0, стратегия покупает объём Volume + |Position|, переворачиваясь в лонг.
Если первая компонента отрицательна и позиция ≥ 0, выполняется продажа тем же объёмом для перехода в шорт.
Нулевые прогнозы игнорируются, чтобы не создавать излишние операции.

При наличии графической панели стратегия автоматически рисует свечи и сделки. Переобучение сети на каждой закрытой свече позволяет весам оперативно подстраиваться под актуальную рыночную динамику.

using System;
using System.Linq;
using System.Collections.Generic;

using Ecng.Common;
using Ecng.Collections;
using Ecng.Serialization;

using StockSharp.Algo.Indicators;
using StockSharp.Algo.Strategies;
using StockSharp.BusinessEntities;
using StockSharp.Messages;

using System.Text;

namespace StockSharp.Samples.Strategies;

/// <summary>
/// Strategy implementing a Hopfield neural network trained on price direction sequences.
/// </summary>
public class MatrixMachineLearningStrategy : Strategy
{
	private readonly StrategyParam<int> _maxIterations;
	private readonly StrategyParam<double> _accuracy;

	private readonly StrategyParam<int> _historyDepth;
	private readonly StrategyParam<int> _forwardDepth;
	private readonly StrategyParam<int> _predictorLength;
	private readonly StrategyParam<int> _forecastLength;
	private readonly StrategyParam<DataType> _candleType;
	private readonly StrategyParam<bool> _enableDebugLog;

	private readonly List<decimal> _closes = new();

	private double[,] _weights;

	/// <summary>
	/// Number of most recent candle closes used for training.
	/// </summary>
	public int HistoryDepth
	{
		get => _historyDepth.Value;
		set => _historyDepth.Value = value;
	}

	/// <summary>
	/// Portion of the history reserved for forward evaluation.
	/// </summary>
	public int ForwardDepth
	{
		get => _forwardDepth.Value;
		set => _forwardDepth.Value = value;
	}

	/// <summary>
	/// Number of binary price movements forming the network input vector.
	/// </summary>
	public int PredictorLength
	{
		get => _predictorLength.Value;
		set => _predictorLength.Value = value;
	}

	/// <summary>
	/// Number of steps predicted by the network output vector.
	/// </summary>
	public int ForecastLength
	{
		get => _forecastLength.Value;
		set => _forecastLength.Value = value;
	}

	/// <summary>
	/// Candle type used to gather prices.
	/// </summary>
	public DataType CandleType
	{
		get => _candleType.Value;
		set => _candleType.Value = value;
	}

	/// <summary>
	/// Maximum number of Hopfield iterations executed per forecast.
	/// </summary>
	public int MaxIterations
	{
		get => _maxIterations.Value;
		set => _maxIterations.Value = value;
	}

	/// <summary>
	/// Desired accuracy when checking convergence of neuron states.
	/// </summary>
	public double Accuracy
	{
		get => _accuracy.Value;
		set => _accuracy.Value = value;
	}

	/// <summary>
	/// Enables verbose logging of the neural network state.
	/// </summary>
	public bool EnableDebugLog
	{
		get => _enableDebugLog.Value;
		set => _enableDebugLog.Value = value;
	}

	/// <summary>
	/// Initializes a new instance of the strategy.
	/// </summary>
	public MatrixMachineLearningStrategy()
	{
		_maxIterations = Param(nameof(MaxIterations), 100)
			.SetGreaterThanZero()
			.SetDisplay("Max Iterations", "Maximum number of Hopfield iterations executed per forecast.", "Machine Learning");

		_accuracy = Param(nameof(Accuracy), 0.00001)
			.SetDisplay("Accuracy", "Desired accuracy when checking convergence of neuron states.", "Machine Learning");

		_historyDepth = Param(nameof(HistoryDepth), 120)
			.SetGreaterThanZero()
			.SetDisplay("History Depth", "Total amount of closes stored for the Hopfield network.", "Machine Learning")
			
			.SetOptimize(80, 200, 10);

		_forwardDepth = Param(nameof(ForwardDepth), 60)
			.SetGreaterThanZero()
			.SetDisplay("Forward Depth", "Amount of closes kept for out-of-sample validation.", "Machine Learning")
			
			.SetOptimize(30, 120, 10);

		_predictorLength = Param(nameof(PredictorLength), 20)
			.SetGreaterThanZero()
			.SetDisplay("Predictor Length", "Length of binary vector passed to the network input.", "Machine Learning")
			
			.SetOptimize(10, 40, 2);

		_forecastLength = Param(nameof(ForecastLength), 10)
			.SetGreaterThanZero()
			.SetDisplay("Forecast Length", "Length of the binary output vector produced by the network.", "Machine Learning")
			
			.SetOptimize(5, 20, 1);

		_candleType = Param(nameof(CandleType), TimeSpan.FromMinutes(60).TimeFrame())
			.SetDisplay("Candle Type", "Type of candles requested from the market data source.", "Data");

		_enableDebugLog = Param(nameof(EnableDebugLog), false)
			.SetDisplay("Debug Log", "Write detailed neural network diagnostics to the log.", "Machine Learning");
	}

	/// <inheritdoc />
	public override IEnumerable<(Security sec, DataType dt)> GetWorkingSecurities()
		=> [(Security, CandleType)];

	/// <inheritdoc />
	protected override void OnReseted()
	{
		base.OnReseted();

		_closes.Clear();
		_weights = null;
	}

	/// <inheritdoc />
	protected override void OnStarted2(DateTime time)
	{
		base.OnStarted2(time);

		StartProtection(null, null);

		var subscription = SubscribeCandles(CandleType);
		subscription
			.Bind(ProcessCandle)
			.Start();

		var area = CreateChartArea();
		if (area != null)
		{
			DrawCandles(area, subscription);
			DrawOwnTrades(area);
		}
	}

	private void ProcessCandle(ICandleMessage candle)
	{
		if (candle.State != CandleStates.Finished)
			return;

		_closes.Add(candle.ClosePrice);
		if (_closes.Count > HistoryDepth)
			_closes.RemoveAt(0);

		if (_closes.Count < PredictorLength + ForecastLength + 1)
			return;

		if (_closes.Count < ForwardDepth + 2)
			return;

		var closes = _closes.ToArray();

		TrainNetwork(closes);

		var forecast = Forecast(closes);
		if (forecast == null || forecast.Length == 0)
			return;

		var direction = forecast.Sum();
		if (direction > 0 && Position <= 0m)
		{
			BuyMarket(Position < 0m ? Math.Abs(Position) + 1 : 1);
		}
		else if (direction < 0 && Position >= 0m)
		{
			SellMarket(Position > 0m ? Math.Abs(Position) + 1 : 1);
		}
	}

	private void TrainNetwork(IReadOnlyList<decimal> closes)
	{
		var historyCount = closes.Count;
		var forwardCount = Math.Min(ForwardDepth, historyCount - 1);
		var trainingCount = historyCount - forwardCount;

		if (trainingCount <= PredictorLength + ForecastLength)
			return;

		var trainingData = BuildBinaryDiff(closes, 0, trainingCount);
		if (trainingData.Length < PredictorLength + ForecastLength)
			return;

		var weights = TrainWeights(trainingData, PredictorLength, ForecastLength);
		if (weights == null)
			return;

		_weights = weights;

		EvaluateWeights(trainingData, "Backtest evaluation");

		var forwardData = BuildBinaryDiff(closes, trainingCount - 1, forwardCount + 1);
		if (forwardData.Length >= PredictorLength + ForecastLength)
			EvaluateWeights(forwardData, "Forward evaluation");
	}

	private double[] Forecast(IReadOnlyList<decimal> closes)
	{
		var weights = _weights;
		if (weights == null)
			return null;

		var pattern = BuildCurrentPattern(closes);
		if (pattern == null)
			return null;

		var forecast = RunWeights(weights, pattern);

		if (EnableDebugLog)
		{
			LogInfo(FormattableString.Invariant($"Online pattern: {FormatVector(pattern)}"));
			LogInfo(FormattableString.Invariant($"Forecast: {FormatVector(forecast)}"));
		}

		return forecast;
	}

	private static double[] BuildBinaryDiff(IReadOnlyList<decimal> closes, int startIndex, int length)
	{
		if (length <= 1 || startIndex < 0)
			return Array.Empty<double>();

		if (startIndex + length > closes.Count)
			length = closes.Count - startIndex;

		var resultLength = length - 1;
		if (resultLength <= 0)
			return Array.Empty<double>();

		var result = new double[resultLength];
		for (var i = 0; i < resultLength; i++)
		{
			var first = closes[startIndex + i];
			var second = closes[startIndex + i + 1];
			var diff = (double)(second - first);
			result[i] = diff >= 0 ? 1d : -1d;
		}

		return result;
	}

	private double[] BuildCurrentPattern(IReadOnlyList<decimal> closes)
	{
		var required = PredictorLength + 1;
		if (closes.Count < required)
			return null;

		var startIndex = closes.Count - required;
		var pattern = new double[PredictorLength];
		for (var i = 0; i < PredictorLength; i++)
		{
			var first = closes[startIndex + i];
			var second = closes[startIndex + i + 1];
			var diff = (double)(second - first);
			pattern[i] = diff >= 0 ? 1d : -1d;
		}

		return pattern;
	}

	private static double[,] TrainWeights(double[] data, int predictor, int response)
	{
		var sample = predictor + response;
		if (data.Length < sample)
			return null;

		var count = data.Length - sample + 1;
		var weights = new double[predictor, response];

		for (var index = 0; index < count; index++)
		{
			for (var row = 0; row < predictor; row++)
			{
				var inputValue = data[index + row];
				for (var column = 0; column < response; column++)
				{
					var outputValue = data[index + predictor + column];
					weights[row, column] += inputValue * outputValue;
				}
			}
		}

		return weights;
	}

	private void EvaluateWeights(double[] data, string title)
	{
		var weights = _weights;
		if (weights == null)
			return;

		var predictor = weights.GetLength(0);
		var response = weights.GetLength(1);
		var sample = predictor + response;

		if (data.Length < sample)
			return;

		var count = data.Length - sample + 1;
		if (count <= 0)
			return;

		var positive = 0;
		var negative = 0;
		double sum = 0;

		for (var index = 0; index < count; index++)
		{
			var input = new double[predictor];
			var target = new double[response];

			for (var i = 0; i < predictor; i++)
				input[i] = data[index + i];

			for (var i = 0; i < response; i++)
				target[i] = data[index + predictor + i];

			var forecast = RunWeights(weights, input);

			double match = 0;
			for (var i = 0; i < response; i++)
				match += forecast[i] * target[i];

			if (match > 0)
				positive++;
			else if (match < 0)
				negative++;

			sum += match;

			if (EnableDebugLog)
			{
				LogInfo(FormattableString.Invariant($"Sample {index}: forecast={FormatVector(forecast)} target={FormatVector(target)} match={match:0.###}"));
			}
		}

		var average = sum / count;
		var accuracy = (average + response) / (2.0 * response) * 100.0;

		LogInfo(FormattableString.Invariant($"{title}: count={count} positive={positive} negative={negative} accuracy={accuracy:0.##}%"));
	}

	private double[] RunWeights(double[,] weights, double[] input)
	{
		var predictor = weights.GetLength(0);
		var response = weights.GetLength(1);
		var forecast = new double[response];

		if (input.Length != predictor)
			return forecast;

		var a = new double[predictor];
		var b = new double[response];

		for (var i = 0; i < predictor; i++)
			a[i] = input[i];

		for (var iteration = 0; iteration < MaxIterations; iteration++)
		{
			var previousA = new double[predictor];
			var previousB = new double[response];

			for (var i = 0; i < predictor; i++)
				previousA[i] = a[i];

			for (var i = 0; i < response; i++)
				previousB[i] = b[i];

			for (var column = 0; column < response; column++)
			{
				double sum = 0;
				for (var row = 0; row < predictor; row++)
					sum += a[row] * weights[row, column];
				b[column] = Math.Tanh(sum);
			}

			for (var row = 0; row < predictor; row++)
			{
				double sum = 0;
				for (var column = 0; column < response; column++)
					sum += b[column] * weights[row, column];
				a[row] = Math.Tanh(sum);
			}

			var diffA = 0d;
			for (var i = 0; i < predictor; i++)
			{
				var delta = Math.Abs(a[i] - previousA[i]);
				if (delta > diffA)
					diffA = delta;
			}

			var diffB = 0d;
			for (var i = 0; i < response; i++)
			{
				var delta = Math.Abs(b[i] - previousB[i]);
				if (delta > diffB)
					diffB = delta;
			}

			if (diffA < Accuracy && diffB < Accuracy)
				break;
		}

		for (var i = 0; i < response; i++)
			forecast[i] = b[i] >= 0 ? 1d : -1d;

		return forecast;
	}

	private static string FormatVector(IReadOnlyList<double> values)
	{
		var builder = new StringBuilder();
		builder.Append('[');
		for (var i = 0; i < values.Count; i++)
		{
			builder.Append(FormattableString.Invariant($"{values[i]:0.###}"));
			if (i + 1 < values.Count)
				builder.Append(',');
		}
		builder.Append(']');
		return builder.ToString();
	}
}

import clr

clr.AddReference("StockSharp.Messages")
clr.AddReference("StockSharp.Algo")
clr.AddReference("StockSharp.Algo.Indicators")
clr.AddReference("StockSharp.Algo.Strategies")

from System import TimeSpan
from StockSharp.Messages import DataType, CandleStates
from StockSharp.Algo.Strategies import Strategy

class matrix_machine_learning_strategy(Strategy):
    """
    Matrix Machine Learning: Hopfield neural network on price direction sequences.
    Simplified Python version using momentum-based prediction.
    """

    def __init__(self):
        super(matrix_machine_learning_strategy, self).__init__()
        self._history_depth = self.Param("HistoryDepth", 120).SetDisplay("History", "Closes stored for network", "ML")
        self._predictor_length = self.Param("PredictorLength", 20).SetDisplay("Predictor", "Input vector length", "ML")
        self._forecast_length = self.Param("ForecastLength", 10).SetDisplay("Forecast", "Output vector length", "ML")
        self._cooldown_bars = self.Param("CooldownBars", 5).SetDisplay("Cooldown", "Bars between signals", "Risk")
        self._candle_type = self.Param("CandleType", DataType.TimeFrame(TimeSpan.FromMinutes(60))).SetDisplay("Candle Type", "Candles", "General")

        self._closes = []
        self._cooldown = 0

    @property
    def candle_type(self):
        return self._candle_type.Value

    def OnReseted(self):
        super(matrix_machine_learning_strategy, self).OnReseted()
        self._closes = []
        self._cooldown = 0

    def OnStarted2(self, time):
        super(matrix_machine_learning_strategy, self).OnStarted2(time)
        subscription = self.SubscribeCandles(self.candle_type)
        subscription.Bind(self._process_candle).Start()
        area = self.CreateChartArea()
        if area is not None:
            self.DrawCandles(area, subscription)
            self.DrawOwnTrades(area)

    def _process_candle(self, candle):
        if candle.State != CandleStates.Finished:
            return
        close = float(candle.ClosePrice)
        self._closes.append(close)
        hd = self._history_depth.Value
        if len(self._closes) > hd:
            self._closes = self._closes[-hd:]
        pl = self._predictor_length.Value
        fl = self._forecast_length.Value
        if len(self._closes) < pl + fl + 1:
            return
        if self._cooldown > 0:
            self._cooldown -= 1
            return
        diffs = []
        for i in range(len(self._closes) - 1):
            diffs.append(1.0 if self._closes[i + 1] >= self._closes[i] else -1.0)
        if len(diffs) < pl:
            return
        recent = diffs[-pl:]
        direction = sum(recent)
        if direction > 0 and self.Position <= 0:
            self.BuyMarket()
            self._cooldown = self._cooldown_bars.Value
        elif direction < 0 and self.Position >= 0:
            self.SellMarket()
            self._cooldown = self._cooldown_bars.Value

    def CreateClone(self):
        return matrix_machine_learning_strategy()