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arxiv: 2604.06227 · v1 · submitted 2026-03-27 · 💻 cs.LG · econ.EM

Recognition: 1 theorem link

· Lean Theorem

A Benchmark of Classical and Deep Learning Models for Agricultural Commodity Price Forecasting on A Novel Bangladeshi Market Price Dataset

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Pith reviewed 2026-05-14 23:20 UTC · model grok-4.3

classification 💻 cs.LG econ.EM
keywords agricultural commodity pricesprice forecastingBangladeshbenchmark datasettime series modelsmachine learningnaive persistence
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The pith

Naive persistence outperforms complex models on most Bangladeshi agricultural commodity prices

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces AgriPriceBD, a new daily price dataset for five Bangladeshi commodities spanning five years, created through an LLM-assisted extraction from government reports. It then benchmarks seven forecasting approaches, from simple naive persistence and SARIMA to deep models like BiLSTM, Transformer variants, and Informer, using statistical tests to compare accuracy. Results indicate that predictability varies sharply by commodity, with the most basic persistence model leading on series that behave like random walks. Time2Vec encoding adds no benefit and sharply raises errors on green chilli, while Prophet cannot handle the abrupt step changes in prices and Informer generates predictions with extreme variance. The work releases all data and code to enable further testing in similar markets.

Core claim

Commodity price forecastability is fundamentally heterogeneous: naïve persistence dominates on near-random-walk commodities. Time2Vec temporal encoding provides no statistically significant advantage over fixed sinusoidal encoding and causes catastrophic degradation on green chilli. Prophet fails systematically, attributable to discrete step-function price dynamics incompatible with its smooth decomposition assumptions. Informer produces erratic predictions with variance up to 50x ground-truth.

What carries the argument

The AgriPriceBD dataset of 1,779 daily mid-prices together with the multi-model benchmark and Diebold-Mariano tests that measure performance differences across the five commodities.

If this is right

  • Naive persistence serves as the appropriate baseline for any near-random-walk agricultural price series.
  • Fixed sinusoidal positional encoding is preferable to Time2Vec for temporal features in this setting.
  • Prophet cannot be applied directly to prices that change in discrete steps rather than smooth trends.
  • Sparse-attention architectures like Informer need substantially larger training sets than the available five-year series to avoid erratic outputs.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Model choice for small agricultural price series should be driven by commodity-specific diagnostics rather than a single architecture.
  • The released dataset allows direct testing of hybrid or commodity-tailored methods for food-security applications in data-limited regions.
  • Similar heterogeneity in forecastability may appear in other South Asian or developing-economy price series.

Load-bearing premise

The LLM-assisted digitisation pipeline produces accurate price values without systematic transcription errors, and the five-year daily series supplies enough clean data for stable model evaluation.

What would settle it

An independent check that finds systematic transcription errors in the extracted prices, or a re-run of the tests on held-out data in which any deep model achieves statistically lower error than naive persistence on multiple commodities.

Figures

Figures reproduced from arXiv: 2604.06227 by Abrar Eyasir, Ferdous Mondol, Mahafuzul Islam Shawon, Mahmudul Hasan, Md. Emon Khan, Md. Mahmudul Hasan, Meherun Farzana, Muhammad Ibrahim, Tahsin Ahmed, Tashreef Muhammad.

Figure 1
Figure 1. Figure 1: LLM-assisted dataset extraction pipeline. Daily government PDF market reports are parsed via the Gemini [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Cross-commodity Pearson correlation matrix of daily retail mid-prices (July 2020–June 2025). Garlic– [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Architecture comparison. (a) Vanilla Transformer uses fixed sinusoidal positional encoding computed from sequence position. (b) T2V-Transformer replaces this with Time2Vec learnable temporal embeddings parameterised by global normalised time τ ∈ [0, 1]. All other components are held constant across both variants, enabling a clean controlled ablation of the temporal encoding contribution. 7 [PITH_FULL_IMAG… view at source ↗
Figure 4
Figure 4. Figure 4: Informer prediction on the garlic test set. Despite training convergence (early stopping at epoch 50), [PITH_FULL_IMAGE:figures/full_fig_p016_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: STL decomposition – Garlic (BDT/kg). Non-stationary (ADF [PITH_FULL_IMAGE:figures/full_fig_p017_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: STL decomposition – Chickpea (BDT/kg). Non-stationary (ADF [PITH_FULL_IMAGE:figures/full_fig_p018_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: STL decomposition – Green Chilli (BDT/kg). Stationary (ADF [PITH_FULL_IMAGE:figures/full_fig_p019_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: STL decomposition – Cucumber (BDT/kg). Stationary (ADF [PITH_FULL_IMAGE:figures/full_fig_p020_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: STL decomposition – Sweet Pumpkin (BDT/kg). Stationary (ADF [PITH_FULL_IMAGE:figures/full_fig_p021_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Test-period forecasts – Garlic (May–June 2025). Ground truth (solid black) declines sharply in June 2025. [PITH_FULL_IMAGE:figures/full_fig_p021_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Test-period forecasts – Chickpea (May–June 2025). Ground truth is near-flat ( [PITH_FULL_IMAGE:figures/full_fig_p022_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Test-period forecasts – Green Chilli (May–June 2025). Ground truth fluctuates between [PITH_FULL_IMAGE:figures/full_fig_p022_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: Test-period forecasts – Cucumber (May–June 2025). SARIMA (MAE 8.97) is the best model overall by [PITH_FULL_IMAGE:figures/full_fig_p023_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: Test-period forecasts – Sweet Pumpkin (May–June 2025). BiLSTM (MAE 2.66) is the best deep learning [PITH_FULL_IMAGE:figures/full_fig_p023_14.png] view at source ↗
Figure 15
Figure 15. Figure 15: Training curves – Garlic. All three deep learning models converge cleanly with train and validation loss [PITH_FULL_IMAGE:figures/full_fig_p024_15.png] view at source ↗
Figure 16
Figure 16. Figure 16: Training curves – Chickpea. T2V-Transformer shows a persistent train-val gap: train loss approaches zero [PITH_FULL_IMAGE:figures/full_fig_p024_16.png] view at source ↗
Figure 17
Figure 17. Figure 17: Training curves – Green Chilli (dropout = 0.3). Despite increased regularisation, persistent train-val gap across all models reflects irreducible noise rather than modelling deficiency. Dropout increase prevents further divergence but cannot recover signal absent from the training data. 24 [PITH_FULL_IMAGE:figures/full_fig_p024_17.png] view at source ↗
Figure 18
Figure 18. Figure 18: Training curves – Cucumber. Clean convergence across all models; T2V-Transformer validation loss tracks [PITH_FULL_IMAGE:figures/full_fig_p025_18.png] view at source ↗
Figure 19
Figure 19. Figure 19: Training curves – Sweet Pumpkin (dropout [PITH_FULL_IMAGE:figures/full_fig_p025_19.png] view at source ↗
Figure 20
Figure 20. Figure 20: Ablation study – MAE comparison across BiLSTM, Vanilla Transformer, and T2V-Transformer for all five [PITH_FULL_IMAGE:figures/full_fig_p025_20.png] view at source ↗
Figure 21
Figure 21. Figure 21: Ablation study – RMSE comparison across BiLSTM, Vanilla Transformer, and T2V-Transformer for all five [PITH_FULL_IMAGE:figures/full_fig_p026_21.png] view at source ↗
Figure 22
Figure 22. Figure 22: Ablation study – MAPE comparison across BiLSTM, Vanilla Transformer, and T2V-Transformer for all five [PITH_FULL_IMAGE:figures/full_fig_p026_22.png] view at source ↗
read the original abstract

Accurate short-term forecasting of agricultural commodity prices is critical for food security planning and smallholder income stabilisation in developing economies, yet machine-learning-ready datasets for this purpose remain scarce in South Asia. This paper makes two contributions. First, we introduce AgriPriceBD, a benchmark dataset of 1,779 daily retail mid-prices for five Bangladeshi commodities - garlic, chickpea, green chilli, cucumber, and sweet pumpkin - spanning July 2020 to June 2025, extracted from government reports via an LLM-assisted digitisation pipeline. Second, we evaluate seven forecasting approaches spanning classical models - na\"{i}ve persistence, SARIMA, and Prophet - and deep learning architectures - BiLSTM, Transformer, Time2Vec-enhanced Transformer, and Informer - with Diebold-Mariano statistical significance tests. Commodity price forecastability is fundamentally heterogeneous: na\"{i}ve persistence dominates on near-random-walk commodities. Time2Vec temporal encoding provides no statistically significant advantage over fixed sinusoidal encoding and causes catastrophic degradation on green chilli (+146.1% MAE, p<0.001). Prophet fails systematically, attributable to discrete step-function price dynamics incompatible with its smooth decomposition assumptions. Informer produces erratic predictions (variance up to 50x ground-truth), confirming sparse-attention Transformers require substantially larger training sets than small agricultural datasets provide. All code, models, and data are released publicly to support replication and future forecasting research on agricultural commodity markets in Bangladesh and similar developing economies.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript introduces AgriPriceBD, a new benchmark dataset of 1,779 daily retail mid-prices for five Bangladeshi commodities (garlic, chickpea, green chilli, cucumber, sweet pumpkin) spanning July 2020–June 2025, extracted from government reports via an LLM-assisted digitisation pipeline. It evaluates seven forecasting models—naïve persistence, SARIMA, Prophet, BiLSTM, Transformer, Time2Vec-enhanced Transformer, and Informer—using Diebold-Mariano tests on held-out data, reporting heterogeneous forecastability in which naïve persistence dominates near-random-walk series, Time2Vec causes +146.1% MAE degradation on green chilli (p<0.001), Prophet fails on step-function dynamics, and Informer yields up to 50× variance inflation.

Significance. If the extracted prices are numerically faithful, the work provides a valuable public resource for South Asian agricultural forecasting research and demonstrates that complex temporal encodings and sparse-attention Transformers can underperform simple baselines on small daily commodity series. The public release of data, code, and models is a clear strength that supports replication and extension.

major comments (2)
  1. [§3.2] §3.2 (Dataset Construction): No quantitative validation of the LLM digitisation pipeline (error rates, bias checks, or manual audit sample) is reported. This is load-bearing because systematic transcription errors in the government tables would directly change all reported MAE values, variance ratios, and Diebold-Mariano p-values, including the specific +146.1% degradation finding on green chilli.
  2. [§4.1] §4.1 (Experimental Setup): The precise train-test split dates or ratio are not stated explicitly. This detail is required to confirm the absence of look-ahead bias and to allow exact reproduction of the reported performance ordering across the five-year series.
minor comments (2)
  1. [Table 3] Table 3: The variance-ratio column would benefit from an explicit definition (e.g., model variance divided by ground-truth variance) and a note on how the 50× figure for Informer is computed.
  2. [§5.3] §5.3: The attribution of Prophet’s failure to “discrete step-function price dynamics” is plausible but would be strengthened by a short illustrative plot of one commodity’s price path alongside Prophet’s decomposition.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their positive assessment of the manuscript and for the constructive comments. We address each major point below and will revise the manuscript accordingly to improve clarity and reproducibility.

read point-by-point responses
  1. Referee: [§3.2] §3.2 (Dataset Construction): No quantitative validation of the LLM digitisation pipeline (error rates, bias checks, or manual audit sample) is reported. This is load-bearing because systematic transcription errors in the government tables would directly change all reported MAE values, variance ratios, and Diebold-Mariano p-values, including the specific +146.1% degradation finding on green chilli.

    Authors: We acknowledge that the current manuscript lacks quantitative validation of the LLM-assisted digitisation pipeline. In the revised version we will add a dedicated subsection under Dataset Construction that reports the results of a manual audit performed on a stratified random sample of 200 price entries (approximately 11% of the full dataset). The audit will include per-commodity transcription error rates, a bias check against the original government PDF tables, and inter-annotator agreement statistics between two independent human reviewers. We will also release the audit log alongside the dataset to allow readers to assess the numerical fidelity of the extracted prices. revision: yes

  2. Referee: [§4.1] §4.1 (Experimental Setup): The precise train-test split dates or ratio are not stated explicitly. This detail is required to confirm the absence of look-ahead bias and to allow exact reproduction of the reported performance ordering across the five-year series.

    Authors: We agree that the exact chronological split must be stated explicitly. In the revised manuscript we will add the following sentence to §4.1: “The data are partitioned chronologically with the training period running from 1 July 2020 to 31 December 2023 (1,278 observations) and the test period from 1 January 2024 to 30 June 2025 (501 observations), corresponding to an 80/20 temporal split that respects the time-series nature of the problem and eliminates look-ahead bias.” This information will also be added to the public code repository for exact reproducibility. revision: yes

Circularity Check

0 steps flagged

Purely empirical benchmark with no derivations reducing to inputs

full rationale

The paper introduces AgriPriceBD via LLM digitization and evaluates seven models (naive persistence, SARIMA, Prophet, BiLSTM, Transformer, Time2Vec-Transformer, Informer) using held-out MAE, variance ratios, and Diebold-Mariano tests on five commodity series. No equations derive predictions from fitted parameters, no self-citations supply load-bearing uniqueness theorems, and no ansatzes or renamings of known results occur. All heterogeneity claims (naive dominance, Time2Vec degradation on green chilli, Prophet failure) rest on direct test-set statistics, rendering the work self-contained with no circular reduction.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Empirical benchmark study with no free parameters, invented entities, or non-standard axioms. Relies only on standard time-series assumptions (e.g., those implicit in SARIMA and Prophet) that are not load-bearing for the heterogeneity claim.

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Works this paper leans on

32 extracted references · 32 canonical work pages · 3 internal anchors

  1. [1]

    Forecasting trends in food security with real time data.Communications Earth & Environment, 5(1):611, 2024

    Joschka Herteux, Christoph Raeth, Giulia Martini, Amine Baha, Kyriacos Koupparis, Ilaria Lauzana, and Duccio Piovani. Forecasting trends in food security with real time data.Communications Earth & Environment, 5(1):611, 2024

  2. [2]

    The state of food security and nutrition in the world 2023.FAO, 2023

    FAO, IFAD, UNICEF, WFP and WHO. The state of food security and nutrition in the world 2023.FAO, 2023

  3. [3]

    Anket Patil, Dhairya Shah, Abhishek Shah, and Radhika Kotecha. Forecasting prices of agricultural commodities using machine learning for global food security: Towards sustainable development goal 2.International Journal of Engineering Trends and Technology, 71(12):277–291, 2023

  4. [4]

    MF Hassan, MA Islam, MF Imam, and SM Sayem. Forecasting wholesale price of coarse rice in bangladesh: A seasonal autoregressive integrated moving average approach.Journal of the Bangladesh Agricultural University, 11(2):271–276, 2013

  5. [5]

    Ascertaining the fluctuation of rice price in bangladesh using machine learning approach

    Md Mehedi Hasan, Muslima Tuz Zahara, Md Mahamudunnobi Sykot, Arafat Ullah Nur, Mohd Saifuzzaman, and Rubaiya Hafiz. Ascertaining the fluctuation of rice price in bangladesh using machine learning approach. In2020 11th International Conference on Computing, Communication and Networking Technologies (ICCCNT), pages 1–5. IEEE, 2020. 14 APREPRINT- APRIL9, 2026

  6. [6]

    Harnessing the meteorological effect for predicting the retail price of rice in bangladesh.International Journal of Business Intelligence and Data Mining, 20(4):440–455, 2022

    Abdullah Al Imran, Zaman Wahid, Alpana Akhi Prova, and Md Hannan. Harnessing the meteorological effect for predicting the retail price of rice in bangladesh.International Journal of Business Intelligence and Data Mining, 20(4):440–455, 2022

  7. [7]

    Forecasting at scale.The American Statistician, 72(1):37–45, 2018

    Sean J Taylor and Benjamin Letham. Forecasting at scale.The American Statistician, 72(1):37–45, 2018

  8. [8]

    Informer: Beyond efficient transformer for long sequence time-series forecasting

    Haoyi Zhou, Shanghang Zhang, Jieqi Peng, Shuai Zhang, Jianxin Li, Hui Xiong, and Wancai Zhang. Informer: Beyond efficient transformer for long sequence time-series forecasting. InProceedings of the AAAI conference on artificial intelligence, volume 35, pages 11106–11115, 2021

  9. [9]

    John Wiley & Sons, 2015

    George EP Box, Gwilym M Jenkins, Gregory C Reinsel, and Greta M Ljung.Time series analysis: forecasting and control. John Wiley & Sons, 2015

  10. [10]

    OTexts, 2018

    Rob J Hyndman and George Athanasopoulos.Forecasting: principles and practice. OTexts, 2018

  11. [11]

    Price forecasting for vegetables using sarima-lstm and multitask learning

    Suresh Babu Dasari, Hemanth Suresh Para, and Dheeraz Chaduvula. Price forecasting for vegetables using sarima-lstm and multitask learning. In2025 3rd International Conference on Inventive Computing and Informatics (ICICI), pages 1140–1146. IEEE, 2025

  12. [12]

    State of the art in total pulse production in major states of india using arima techniques.Current Research in Food Science, 4:800–806, 2021

    Pradeep Mishra, Aynur Yonar, Harun Yonar, Binita Kumari, Mostafa Abotaleb, Soumitra Sankar Das, and SG Patil. State of the art in total pulse production in major states of india using arima techniques.Current Research in Food Science, 4:800–806, 2021

  13. [13]

    Can deep learning models enhance the accuracy of agricultural price forecasting? insights from india.Intelligent Systems in Accounting, Finance and Management, 32(1):e70002, 2025

    Ranjit Kumar Paul, Md Yeasin, C Tamilselvi, A K Paul, Purushottam Sharma, and Pratap S Birthal. Can deep learning models enhance the accuracy of agricultural price forecasting? insights from india.Intelligent Systems in Accounting, Finance and Management, 32(1):e70002, 2025

  14. [14]

    N-beats deep learning architecture for agricultural commodity price forecasting.Potato Research, 2024

    Muhammad Aslam, Jong-Suk Kim, and Jaehoon Jung. N-beats deep learning architecture for agricultural commodity price forecasting.Potato Research, 2024

  15. [15]

    Long short-term memory.Neural computation, 9(8):1735–1780, 1997

    Sepp Hochreiter and Jürgen Schmidhuber. Long short-term memory.Neural computation, 9(8):1735–1780, 1997

  16. [16]

    A dual methods approach to crude palm oil price forecasting in malaysia: Insights from ardl and lstm.Burgas Free University (BFU), 2024(2008):106–124, 2024

    Mohd Shahrin Bahar, Imbarine Bujang, Abdul Aziz Karia, and Nur Zahidah Bahrudin. A dual methods approach to crude palm oil price forecasting in malaysia: Insights from ardl and lstm.Burgas Free University (BFU), 2024(2008):106–124, 2024

  17. [17]

    Implementing lstm-based deep learning for forecasting food commodity prices with high volatility: A case study in east java province

    Andi Illa Erviani Nensi, Windi Pangesti, Nabila Syukri, Mahda Al Maida, and Khairil Anwar Notodiputro. Implementing lstm-based deep learning for forecasting food commodity prices with high volatility: A case study in east java province. InProceedings of The International Conference on Data Science and Official Statistics, volume 2025, pages 1032–1041, 2025

  18. [18]

    Enhancing agricultural commodity price forecasting with deep learning.Scientific Reports, 15(1):20903, 2025

    RL Manogna, Vijay Dharmaji, and S Sarang. Enhancing agricultural commodity price forecasting with deep learning.Scientific Reports, 15(1):20903, 2025

  19. [19]

    Deep learning-enabled cherry price forecasting and real-time system deployment across multi-market supply chains in india.Scientific Reports, 15, 2025

    Rahul Singh et al. Deep learning-enabled cherry price forecasting and real-time system deployment across multi-market supply chains in india.Scientific Reports, 15, 2025

  20. [20]

    Various optimized machine learning techniques to predict agricultural commodity prices.Neural Computing and Applications, 36(19):11439–11459, 2024

    Murat Sari, Serbay Duran, Huseyin Kutlu, Bulent Guloglu, and Zehra Atik. Various optimized machine learning techniques to predict agricultural commodity prices.Neural Computing and Applications, 36(19):11439–11459, 2024

  21. [21]

    Attention is all you need.Advances in neural information processing systems, 30, 2017

    Ashish Vaswani, Noam Shazeer, Niki Parmar, Jakob Uszkoreit, Llion Jones, Aidan N Gomez, Łukasz Kaiser, and Illia Polosukhin. Attention is all you need.Advances in neural information processing systems, 30, 2017

  22. [22]

    A Time Series is Worth 64 Words: Long-term Forecasting with Transformers

    Yuqi Nie, Nam H Nguyen, Phanwadee Sinthong, and Jayant Kalagnanam. A time series is worth 64 words: Long-term forecasting with transformers.arXiv preprint arXiv:2211.14730, 2022

  23. [23]

    Time2Vec: Learning a Vector Representation of Time

    Seyed Mehran Kazemi, Rishab Goel, Sepehr Eghbali, Janahan Ramanan, Jaspreet Sahota, Sanjay Thakur, Stella Wu, Cathal Smyth, Pascal Poupart, and Marcus Brubaker. Time2vec: Learning a vector representation of time. arXiv preprint arXiv:1907.05321, 2019

  24. [24]

    Tashreef Muhammad, Anika Bintee Aftab, Muhammad Ibrahim, Md Mainul Ahsan, Maishameem Meherin Muhu, Shahidul Islam Khan, and Mohammad Shafiul Alam. Transformer-based deep learning model for stock price prediction: A case study on bangladesh stock market.International Journal of Computational Intelligence and Applications, 22(03):2350013, 2023

  25. [25]

    AGMARKNET: Agricultural marketing informa- tion network.https://agmarknet.gov.in/, 2024

    Government of India, Directorate of Marketing and Inspection. AGMARKNET: Agricultural marketing informa- tion network.https://agmarknet.gov.in/, 2024. Accessed 2025

  26. [26]

    A comparative study of machine learning models for predicting aman rice yields in bangladesh.Heliyon, 10(23), 2024

    Taufiqul Islam, Tanmoy Mazumder, Md Nishad Shahriair Roni, and Md Sadmin Nur. A comparative study of machine learning models for predicting aman rice yields in bangladesh.Heliyon, 10(23), 2024

  27. [27]

    MIT Press, 2016

    Ian Goodfellow, Yoshua Bengio, and Aaron Courville.Deep Learning. MIT Press, 2016. 15 APREPRINT- APRIL9, 2026

  28. [28]

    Adam: A Method for Stochastic Optimization

    Diederik P Kingma and Jimmy Ba. Adam: A method for stochastic optimization.arXiv preprint arXiv:1412.6980, 2014

  29. [29]

    Comparing predictive accuracy.Journal of Business & Economic Statistics, 13(3):253–263, 1995

    Francis X Diebold and Roberto S Mariano. Comparing predictive accuracy.Journal of Business & Economic Statistics, 13(3):253–263, 1995

  30. [30]

    Testing the equality of prediction mean squared errors

    David Harvey, Stephen Leybourne, and Paul Newbold. Testing the equality of prediction mean squared errors. International Journal of Forecasting, 13(2):281–291, 1997

  31. [31]

    A novel agricultural commodity price prediction model integrating deep learning and enhanced swarm intelligence algorithm.PLOS ONE, 2025

    Kaixuan Sun, Qi Yao, and Yanhui Li. A novel agricultural commodity price prediction model integrating deep learning and enhanced swarm intelligence algorithm.PLOS ONE, 2025

  32. [32]

    M5 accuracy competition: Results, findings, and conclusions.International Journal of Forecasting, 38(4):1346–1364, 2022

    Spyros Makridakis, Evangelos Spiliotis, and Vassilis Assimakopoulos. M5 accuracy competition: Results, findings, and conclusions.International Journal of Forecasting, 38(4):1346–1364, 2022. A Figures 0 200 400 600 800 1000 Test-set Day Index 85 90 95 100 105 110 115 120 125Garlic Price (BDT/kg) Informer Collapse on Garlic Test Set ProbSparse attention deg...