Deep Learning for Financial Time Series: A Large-Scale Benchmark of Risk-Adjusted Performance

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Deep Learning for Financial Time Series: A Large-Scale Benchmark of Risk-Adjusted Performance

Adir Saly-Kaufmann
Kieran Wood
Jan Peter-Calliess
Stefan Zohren
Published on 3/2/2026
Futures
Commodities
Equities
Bonds
FX
Machine learning
Deep learning
Risk management
Market timing
Trend-following

This paper presents a large-scale benchmark of modern deep learning architectures for financial time series prediction and position sizing, with a primary focus on Sharpe ratio optimization. The study evaluates 16 models, including linear models (AR1x, DLinear, NLinear), recurrent networks (LSTM, xLSTM, PsLSTM), transformer-based architectures (iTransformer, PatchTST, TFT), state-space models (Mamba, Mamba2), and hybrid approaches (VLSTM, VxLSTM, LPatchTST, VSN+Mamba2). Using 15 years of daily futures data across commodities, equity indices, bonds, and FX, the authors assess out-of-sample performance through risk-adjusted returns, statistical significance, downside risk, breakeven transaction costs, robustness to seed selection, and computational efficiency.

The key finding is that models explicitly designed to learn rich temporal representations consistently outperform linear benchmarks and generic deep learning models. The hybrid VLSTM (VSN + LSTM) achieves the highest overall Sharpe ratio of 2.39, while LPatchTST and TFT also deliver strong performance. xLSTM demonstrates the largest breakeven transaction cost buffer, indicating improved robustness to trading frictions. In contrast, linear models and generic transformers (iTransformer, Mamba) underperform, highlighting the importance of architectural inductive bias for financial time series. The results suggest that effective financial forecasting models benefit from jointly denoising returns, learning asset-specific dynamics, and encoding temporal structure in a stable and adaptive manner.

Highlights

  • 1Comprehensive benchmark of 16 deep learning architectures for financial time series prediction under Sharpe ratio optimization.
  • 2Hybrid models combining Variable Selection Networks (VSN) with recurrent architectures (VLSTM, VxLSTM) achieve top risk-adjusted performance.
  • 3Linear models and generic transformers underperform specialized sequence models in low signal-to-noise financial environments.
  • 4Robustness analysis includes statistical significance, downside risk, breakeven transaction costs, and seed sensitivity.
  • 5xLSTM demonstrates the highest breakeven transaction cost buffer, indicating robustness to trading frictions.

Methods

  • M
    End-to-end Sharpe ratio optimization with volatility targeting and EWMA risk estimation.
  • M
    Modular two-stage pipeline: sequence encoder (e.g., LSTM, PatchTST, Mamba2) followed by linear projection with tanh activation.
  • M
    Hybrid architectures combining Variable Selection Networks (VSN) with recurrent or state-space models (VLSTM, VxLSTM, VSN+Mamba2).
  • M
    Post-hoc breakeven transaction cost analysis to assess resilience to trading frictions.

Results

  • R
    VLSTM achieves the highest overall Sharpe ratio of 2.39 over 2010-2025, with a CAGR of 26.3% and HAC t-statistic of 8.81.
  • R
    LPatchTST and TFT also deliver strong performance with Sharpe ratios of 2.32 and 2.20, respectively.
  • R
    xLSTM achieves a Sharpe ratio of 1.80 with lower turnover (482) and high breakeven transaction costs, indicating efficiency.
  • R
    Linear models (AR1x, DLinear) and generic transformers (iTransformer, Mamba) underperform, with Sharpe ratios below 1.0.
  • R
    VLSTM and LPatchTST exhibit moderate drawdowns and high Calmar ratios (1.15 and 1.47), indicating favorable downside risk.
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