Paper: arXiv 2603.16886
Authors: Nabeel Ahmad Saidd
Abstract
Multi-horizon price forecasting is central to portfolio allocation, risk management, and algorithmic trading, yet deep learning architectures have proliferated faster than rigorous financial benchmarks can evaluate them. This study provides a controlled comparison of nine architectures (Autoformer, DLinear, iTransformer, LSTM, ModernTCN, N-HiTS, PatchTST, TimesNet, and TimeXer) spanning Transformer, MLP, CNN, and RNN families across cryptocurrency, forex, and equity index markets at 4-hour and 24-hour horizons. A total of 918 experiments were conducted under a strict five-stage protocol including fixed-seed Bayesian hyperparameter optimization, configuration freezing per asset class, multi-seed retraining, uncertainty aggregation, and statistical validation. ModernTCN achieves the best mean rank (1.333) with a 75 percent first-place rate, followed by PatchTST (2.000). Results reveal a clear three-tier ranking structure and show that architecture explains nearly all performance variance, while seed randomness is negligible. Rankings remain stable across horizons despite 2 to 2.5 times error amplification. Directional accuracy remains near 50 percent across all configurations, indicating that MSE-trained models lack directional skill at hourly resolution. The findings highlight the importance of architectural inductive bias over raw parameter count and provide reproducible guidance for multi-step financial forecasting.
Complexity vs Empirical Score
- Math Complexity: 0.0/10
- Empirical Rigor: 0.0/10
- Quadrant: Philosophers — conceptual discussion, limited math and data
Why this score: Scoring failed: ’list’ object has no attribute ‘get’
Research Flowchart
flowchart TD
A["<b>Research Goal</b><br>Evaluate 9 Deep Learning Architectures for Multi-Horizon Financial Forecasting"] --> B["<b>Inputs & Assets</b><br>Crypto, Forex & Equity Indices<br><i>(4h & 24h Horizons)</i>"]
B --> C["<b>5-Stage Methodology</b><br>Bayesian HPO, Config Freezing, Multi-Seed Retraining & Statistical Validation"]
C --> D["<b>Execution</b><br>918 Controlled Experiments across Transformers, MLPs, CNNs & RNNs"]
D --> E["<b>Key Findings: Architecture Tiering</b><br>1. ModernTCN (Rank 1.33, 75% Win Rate)<br>2. PatchTST (Rank 2.00)<br>3. Tiered performance driven by inductive bias"]
D --> F["<b>Key Findings: Market Dynamics</b><br>• Variance driven by Architecture, not Seed<br>• Errors amplify 2-2.5x at 24h horizon<br>• Directional Accuracy remains ~50% (MSE loss)"]
Cited References (37)
- Time Series Analysis: Forecasting and Control (1970)
- Generalized Autoregressive Conditional Heteroskedasticity (1986)
- Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation (1982)
- Automatic Time Series Forecasting: The Forecast Package for R (2008)
- Long Short-Term Memory (1997)
- Learning to Forget: Continual Prediction with LSTM (2000)
- Attention is All You Need (2017)
- Autoformer: Decomposition Transformers with Auto-Correlation for Long-Term Series Forecasting (2021)
and 29 more
- A Time Series is Worth 64 Words: Long-term Forecasting with Transformers (2023)
- iTransformer : Inverted Transformers Are Effective for Time Series Forecasting (2024)
- TimeXer : Empowering Transformers for Time Series Forecasting with Exogenous Variables (2024)
- Are Transformers Effective for Time Series Forecasting? (2023)
- N-HiTS : Neural Hierarchical Interpolation for Time Series Forecasting (2023)
- TimesNet : Temporal 2D-Variation Modeling for General Time Series Analysis (2023)
- ModernTCN : A Modern Pure Convolution Structure for General Time Series Analysis (2024)
- The M4 Competition: Results, Findings, Conclusion and Way Forward (2018)
- The M5 Accuracy Competition: Results, Findings, and Conclusions (2022)
- Recurrent Neural Networks for Time Series Forecasting: Current Status and Future Directions (2021)
- Time-Series Forecasting with Deep Learning: A Survey (2021)
- A Review and Comparison of Strategies for Multi-step Ahead Time Series Forecasting Based on the NN5 Forecasting Competition (2012)
- Direct Multi-Step Estimation and Forecasting (2007)
- The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance (1937)
- Individual Comparisons by Ranking Methods (1945)
- Statistical Comparisons of Classifiers over Multiple Data Sets (2006)
- Distribution-Free Multiple Comparisons (1963)
- Comparing Predictive Accuracy (1995)
- Testing the Equality of Prediction Mean Squared Errors (1997)
- Optuna: A Next-Generation Hyperparameter Optimization Framework (2019)
- Algorithms for Hyper-Parameter Optimization (2011)
- Financial Time Series Forecasting with Deep Learning: A Systematic Literature Review: 2005–2019 (2020)
- An Empirical Evaluation of Generic Convolutional and Recurrent Networks for Sequence Modeling (2018) — link
- Reversible Instance Normalization for Accurate Time-Series Forecasting against Distribution Shift (2022)
- Deep Reinforcement Learning That Matters (2018)
- Accounting for Variance in Machine Learning Benchmarks (2021)
- PyTorch : An Imperative Style, High-Performance Deep Learning Library (2019)
- Empirical Properties of Asset Returns: Stylized Facts and Statistical Issues (2001)
- Efficient Capital Markets: A Review of Theory and Empirical Work (1970)
0 of 37 cited works are in the corpus; resolved via arXiv source bundles, Semantic Scholar and OpenAlex. Corpus-wide: 2518 linked papers.