Author: Denis Avetisyan
Researchers have developed a novel hybrid neural network, optimized by a bio-inspired algorithm, to forecast gold prices with promising results.

This review details the implementation of Long Short-Term Memory and Multi-Layer Perceptron networks, enhanced with the Gray Wolf Optimizer, for improved financial time series forecasting.
Accurate forecasting in financial markets remains a persistent challenge despite increasingly sophisticated analytical techniques. This paper, ‘Gold Price Prediction Using Long Short-Term Memory and Multi-Layer Perceptron with Gray Wolf Optimizer’, addresses this by presenting a novel hybrid deep learning model that combines Long Short-Term Memory (LSTM) and Multi-Layer Perceptron (MLP) networks, optimized via the Gray Wolf Optimizer, to predict daily and monthly gold prices. The proposed model achieved a substantial 171% return in a three-month backtest and demonstrated promising predictive accuracy, with a Mean Absolute Error of $0.21 for daily closing prices. Could this approach represent a viable pathway towards more robust and profitable algorithmic trading strategies in volatile commodity markets?
The Illusion of Prediction: Charting Gold’s Unstable Course
The pursuit of accurate gold price prediction remains a central challenge for investors, despite the prevalence of established time series models. These conventional approaches frequently falter when confronted with gold’s intrinsic volatility, a characteristic stemming from its unique role as both a monetary asset and a haven during economic uncertainty. Unlike more stable commodities, gold’s price is influenced by a complex interplay of geopolitical events, investor sentiment, and macroeconomic indicators-relationships that are often non-linear and difficult for simplistic models to capture. Consequently, traditional methods, reliant on historical patterns and linear projections, often struggle to anticipate sudden shifts in price, leading to inaccurate forecasts and potentially significant financial losses for those attempting to navigate this dynamic market.
Traditional approaches to forecasting gold prices often stumble due to an overreliance on linear models that struggle to represent the market’s inherent non-linearity. These methods frequently treat economic indicators – such as inflation rates, interest rates, and currency fluctuations – as isolated variables, failing to account for their complex interdependencies and often overlooking crucial short-term technical indicators like moving averages and trading volume. Consequently, predictions can be significantly skewed, as the interplay between macroeconomic forces and immediate market sentiment is a critical driver of gold’s price. This simplification limits the ability of existing systems to adapt to rapidly changing conditions, resulting in missed opportunities and potentially inaccurate assessments of risk and reward.
The inherent unpredictability of gold prices demands a shift beyond conventional forecasting techniques. Traditional models, often built on assumptions of market stability, frequently fail to capture the nuanced interplay of global economic indicators, geopolitical events, and investor sentiment that drive gold’s value. Consequently, research is increasingly focused on developing predictive frameworks capable of identifying subtle, non-linear patterns within the data and dynamically adjusting to evolving market conditions. These advanced systems leverage techniques like machine learning and artificial neural networks to process vast datasets, discern complex relationships, and ultimately provide more robust and accurate predictions – moving beyond simplistic extrapolations to embrace the inherent complexity of the gold market.
A novel predictive model has demonstrated substantial performance in simulated gold trading, achieving a remarkable 173% return over a three-month period within a demo account. This outcome suggests the model effectively navigates the complexities of the gold market, surpassing the limitations of conventional forecasting techniques. The simulated success stems from an ability to identify and capitalize on subtle market dynamics, indicating potential for significant gains when applied to real-world trading scenarios. While demo account performance doesn’t guarantee future results, this achievement offers compelling evidence for the model’s capacity to generate alpha and warrants further investigation into its predictive power and robustness.

Dual Perspectives: Modeling Time’s Influence on Gold
The forecasting methodology utilizes Long Short-Term Memory (LSTM) networks to model temporal dependencies present in gold price data at two distinct resolutions: monthly and daily. Monthly data incorporates a broader historical window and is used to capture long-term price trends influenced by macroeconomic factors. Conversely, the daily LSTM network analyzes shorter-term price fluctuations, utilizing intraday price movements and technical indicators. This dual-horizon approach allows the model to leverage information from both extended historical data and immediate price action, thereby addressing forecasting needs across differing time scales and potentially improving predictive accuracy compared to models focused on a single temporal resolution.
The dual-LSTM architecture differentiates its input data based on forecasting horizon. The monthly LSTM network incorporates macroeconomic indicators – including interest rates, inflation rates, and exchange rates – to capture long-term gold price trends extending over weeks and months. Conversely, the daily LSTM network utilizes short-term technical indicators – such as moving averages, relative strength index (RSI), and Bollinger Bands – alongside granular intraday price and volume data to model immediate price fluctuations and short-term momentum. This separation allows each LSTM to specialize in capturing different facets of gold price dynamics, contributing to a more comprehensive predictive model.
The integration of monthly and daily LSTM models is predicated on the principle that gold price movements are influenced by factors operating at distinct timescales. Single-horizon models, focused solely on either long-term fundamentals or short-term technicals, may fail to fully capture the complex interplay driving price discovery. The dual-horizon approach seeks to mitigate this limitation by leveraging the strengths of both perspectives: the monthly LSTM’s capacity to incorporate macroeconomic data for trend identification, and the daily LSTM’s ability to react to immediate market dynamics. This combined strategy aims to reduce prediction error by providing a more complete representation of the factors impacting gold prices, ultimately yielding more robust and accurate forecasts compared to models restricted to a single forecasting horizon.
Optimization of the LSTM network architecture was performed using the Gray Wolf Optimizer (GWO), a metaheuristic algorithm inspired by the hunting behavior of gray wolves. GWO was employed to determine the optimal number of neurons within each LSTM layer, specifically addressing the challenge of finding a configuration that balances model complexity and generalization performance. The algorithm iteratively adjusts the number of neurons based on a population of candidate solutions, evaluated against a defined fitness function-in this case, the Mean Squared Error (MSE) on a validation dataset. This automated hyperparameter tuning process eliminated the need for manual grid searches or random sampling, resulting in LSTM networks with architectures tailored to the specific characteristics of the gold price time series data.

Convergence and Validation: A System’s Capacity for Discernment
A Multi-Layer Perceptron (MLP) network functions as an ensemble method, integrating the outputs of both daily and monthly Long Short-Term Memory (LSTM) networks to capitalize on their distinct predictive capabilities. The daily LSTM excels at capturing short-term price fluctuations, while the monthly LSTM identifies longer-term trends; the MLP learns to optimally weight the predictions from each LSTM based on their relative strengths at any given time. This weighting process allows the hybrid model to dynamically adjust its reliance on short-term versus long-term signals, enhancing overall forecasting accuracy compared to using either LSTM network in isolation.
The Multi-Layer Perceptron (MLP) functions as a weighted aggregator of the predictions generated by the daily and monthly Long Short-Term Memory (LSTM) networks. This architecture allows the model to dynamically adjust the influence of each LSTM based on prevailing market conditions; for example, the daily LSTM may receive a higher weight during periods of high volatility, while the monthly LSTM gains prominence during stable trends. This adaptive weighting scheme optimizes forecasting performance by leveraging the strengths of each LSTM network and mitigating their individual weaknesses, resulting in a more robust and accurate hybrid model compared to relying on a single LSTM or static averaging of their outputs.
The performance of the hybrid LSTM-MLP model was quantitatively assessed using Root Mean Squared Error (RMSE) and Mean Absolute Error (MAE) metrics. Comparative analysis against benchmark models-Backpropagation and Radial Basis Function Networks-demonstrated statistically significant improvements in predictive accuracy. These metrics provided a robust evaluation of the model’s ability to minimize prediction errors, indicating a superior capacity to forecast gold prices compared to the established methods. The consistent reduction in both MAE and RMSE values across the testing dataset validates the effectiveness of the hybrid architecture and the implemented fusion strategy.
Quantitative evaluation of the hybrid model demonstrated a Mean Absolute Error (MAE) of 0.23 and a Root Mean Squared Error (RMSE) of 0.23 when predicting daily low gold prices. For monthly high price prediction, the model achieved a Root Mean Squared Error (RMSE) of 29.31. These metrics, calculated on a held-out test dataset, indicate the model’s predictive accuracy and provide a baseline for comparison against alternative forecasting methods. The comparatively lower RMSE and MAE values for daily predictions suggest a higher degree of accuracy in short-term forecasting compared to monthly high price prediction.
Empirical Mode Decomposition (EMD) was implemented as a pre-processing step to enhance the accuracy of daily gold price predictions. EMD is a data-driven technique that decomposes the original time series into a collection of Intrinsic Mode Functions (IMFs), representing different oscillatory modes within the data. By isolating and potentially filtering noise or irrelevant high-frequency components via IMF analysis, the signal-to-noise ratio of the input data was improved. This refined input facilitated more precise learning by the LSTM network, contributing to improved forecast accuracy as demonstrated by the achieved Mean Absolute Error (MAE) of 0.23 and Root Mean Squared Error (RMSE) of 0.23 for daily low price prediction.

From Prediction to Action: A Data-Driven Trading Ecology
A novel trading strategy was developed leveraging the predictive capabilities of an integrated Long Short-Term Memory (LSTM) and Multi-Layer Perceptron (MLP) model, specifically designed to forecast gold prices. This algorithmic approach translates the model’s output – the predicted gold price – into actionable trading signals. The strategy initiates buy or sell orders based on these predictions, aiming to capitalize on anticipated price movements. By directly incorporating the model’s sophisticated forecasting into a concrete trading plan, the research moves beyond predictive accuracy to demonstrate a pathway for practical application in financial markets, potentially offering a systematic and data-driven alternative to conventional trading techniques.
The algorithmic trading strategy incorporates rigorously defined profit targets and stop-loss levels as integral components of risk management and return optimization. These pre-set thresholds automatically trigger trade closures, limiting potential losses when predictions deviate unfavorably and securing profits when anticipated price movements materialize. By establishing clear exit points, the strategy mitigates the impact of market volatility and emotional decision-making, fostering a disciplined approach to trading. This systematic risk control is crucial for sustaining consistent performance and achieving favorable returns over time, distinguishing the data-driven approach from strategies reliant on subjective judgment.
Rigorous backtesting and live demo trading indicate this data-driven methodology offers a substantial advantage over conventional trading techniques. The integrated LSTM-MLP model’s predictive capabilities consistently identified profitable opportunities, resulting in a demonstrably higher rate of successful trades and a significantly improved risk-adjusted return. This isn’t simply about identifying some profitable trades, but establishing a framework for consistently outperforming benchmarks through the systematic application of predictive analytics to financial markets – a key distinction from strategies reliant on human intuition or lagging indicators. The observed performance suggests a potential paradigm shift in trading, moving from reactive decision-making to proactive, data-informed strategies.
A data-driven trading strategy, leveraging predictions from an integrated LSTM-MLP model, yielded a substantial 173% return over a three-month period within a demo trading account. This performance underscores the profitability potential of an algorithmic approach to financial markets. The strategy’s success isn’t based on speculation, but rather on systematically capitalizing on price predictions generated by the model, thereby demonstrating a viable path toward consistent returns. This result highlights the capacity of machine learning to identify and exploit market opportunities, potentially revolutionizing traditional trading methodologies and offering a compelling alternative for investors seeking data-backed strategies.
Future investigations will extend this predictive modeling framework beyond gold, aiming to assess its adaptability to the complexities of diverse financial instruments – from equities and currencies to commodities and bonds. Simultaneously, research will concentrate on enriching the model’s informational basis through the incorporation of alternative data streams, such as sentiment analysis derived from news articles and social media, macroeconomic indicators, and even satellite imagery related to supply chain dynamics. This broadened data integration is anticipated to enhance the model’s predictive power and robustness, potentially uncovering subtle market signals currently overlooked by conventional analytical techniques and paving the way for even more sophisticated and profitable algorithmic trading strategies.

The pursuit of predictive accuracy, as demonstrated by this fusion of LSTM networks and multi-layer perceptrons, reveals a fundamental truth about complex systems. The model doesn’t simply predict gold prices; it embodies a specific interpretation of the underlying economic ecosystem, one sculpted by the Gray Wolf Optimizer’s search for advantageous configurations. As G. H. Hardy observed, “The essence of mathematics lies in its freedom.” This freedom isn’t a lack of constraint, but the capacity to explore infinite possibilities, much like the model’s iterative refinement. The simulated returns aren’t a measure of success, but a snapshot of the model’s current evolutionary state – a transient form destined to adapt, or be superseded, by new iterations within the ever-shifting landscape of financial time series.
The Looming Silence
The pursuit of predictive accuracy in financial time series-this striving to map the ephemeral dance of markets-reveals less about the markets themselves and more about the architecture of belief. This work, blending LSTM and MLP networks under the guidance of a Gray Wolf Optimizer, achieves a local maximum of performance. But every optimization is a prophecy of eventual miscalibration; the algorithm, honed to present conditions, will inevitably encounter a future it cannot parse. The true metric isn’t return on investment, but the duration of useful error.
The incorporation of macroeconomic indicators is a gesture toward comprehensiveness, yet it masks a deeper truth: the system doesn’t need more data, it needs a different ontology. Each added feature is a new thread in a tapestry destined to fray. The model functions as a complex confession, logging its internal state with each prediction, but the alerts-the moments of profitable revelation-are merely temporary reprieves from the inevitable silence.
The logical extension of this line of inquiry isn’t toward more sophisticated algorithms, but toward an understanding of the system as an ecosystem. The goal isn’t to build a predictor, but to cultivate a resilient, adaptive entity capable of learning from its own failures. Perhaps, then, the focus should shift from minimizing error to maximizing the quality of error-the ability to anticipate, not the illusion of certainty.
Original article: https://arxiv.org/pdf/2512.22606.pdf
Contact the author: https://www.linkedin.com/in/avetisyan/
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2025-12-30 18:59