Forecasting

Predict future demand, sales, and trends accurately • 54 papers

10 subtopics

Time Series Foundations

Build classic time series forecasting models

1970 19295 cited

Time Series Analysis: Forecasting and Control

George E.P. Box, Gwilym M. Jenkins

Foundational text establishing ARIMA and the Box-Jenkins approach to model identification.

2002 995 cited

A State Space Framework for Automatic Forecasting using Exponential Smoothing

Rob J. Hyndman, Anne B. Koehler, Ralph D. Snyder, Simone Grose

Establishes ETS state space framework enabling model selection, prediction intervals, and likelihood calculation.

2000 1638 cited

The M3-Competition: Results, Conclusions and Implications

Spyros Makridakis, Michele Hibon

Landmark 3,003-series competition establishing that simpler methods often outperform complex ones.

2020

The M4 Competition: 100,000 Time Series and 61 Forecasting Methods

Spyros Makridakis, Evangelos Spiliotis, Vassilios Assimakopoulos

100,000 series showing hybrid statistical-ML methods dominate; pure ML underperformed.

1990 6847 cited

STL: A Seasonal-Trend Decomposition Procedure Based on Loess

Robert B. Cleveland, William S. Cleveland, Jean E. McRae, Irma Terpenning

Foundational decomposition method separating seasonal, trend, and remainder components using local regression.

2022 241 cited

MSTL: A Seasonal-Trend Decomposition Algorithm for Time Series with Multiple Seasonal Patterns

Kasun Bandara, Rob J. Hyndman, Christoph Bergmeir

Extension of STL handling multiple seasonal periods; essential for complex seasonality like hourly data.

Probabilistic Forecasting

Quantify uncertainty in your predictions

2007 5046 cited

Strictly Proper Scoring Rules, Prediction, and Estimation

Tilmann Gneiting, Adrian E. Raftery

Definitive treatment of proper scoring rules; introduces CRPS, energy score, interval score.

1978 11974 cited

Regression Quantiles

Roger Koenker, Gilbert Bassett Jr.

Introduced quantile regression for estimating conditional quantiles; foundation for distributional forecasting.

2016 907 cited

Probabilistic Energy Forecasting: Global Energy Forecasting Competition 2014 and Beyond

Tao Hong, Pierre Pinson, Shu Fan, Hamidreza Zareipour, Alberto Troccoli, Rob J. Hyndman

GEFCom2014 establishing practical standards for probabilistic forecast evaluation.

2021 287 cited

Conformal Time-series Forecasting

Kamilė Stankevičiūtė, Ahmed M. Alaa, Mihaela van der Schaar

Distribution-free prediction intervals with guaranteed coverage for time series; handles non-exchangeability.

2021 356 cited

Multivariate Probabilistic Time Series Forecasting via Conditioned Normalizing Flows

Kashif Rasul, Abdul-Saboor Sheikh, Ingmar Schuster, Urs Bergmann, Roland Vollgraf

Normalizing flows for flexible multivariate distributions in forecasting; captures complex dependencies.

Hierarchical & Grouped Forecasting

Forecast at multiple levels consistently

1969 3044 cited

The Combination of Forecasts

John M. Bates, Clive W.J. Granger

Seminal paper showing combined forecasts yield lower MSE than individuals; foundation for ensemble methods.

2019 276 cited

Optimal Forecast Reconciliation for Hierarchical and Grouped Time Series Through Trace Minimization

Shanika L. Wickramasuriya, George Athanasopoulos, Rob J. Hyndman

MinT optimal reconciliation method minimizing forecast variance; outperforms bottom-up and top-down.

2006 1234 cited

Chapter 4: Forecast Combinations

Allan Timmermann

Authoritative review explaining why simple averages often beat optimal weights (estimation error, instability).

2024 39 cited

Forecast Reconciliation: A Review

George Athanasopoulos, Rob J. Hyndman, Nikolaos Kourentzes, Anastasios Panagiotelis

Comprehensive review covering cross-sectional, temporal, and cross-temporal reconciliation.

2023 87 cited

Cross-temporal Forecast Reconciliation: Optimal Combination Method and Heuristic Algorithms

Tommaso Di Fonzo, Daniele Girolimetto

Unified framework for simultaneous cross-sectional and temporal reconciliation; optimal point forecasts.

Deep Learning for Forecasting

Apply deep learning to forecasting problems

2020 238 cited

DeepAR: Probabilistic Forecasting with Autoregressive Recurrent Networks

David Salinas, Valentin Flunkert, Jan Gasthaus, Tim Januschowski

Amazon's global probabilistic forecasting model; pioneered cross-learning for scale-diverse series.

2018

Forecasting at Scale (Prophet)

Sean J. Taylor, Benjamin Letham

Meta's additive model with trend, seasonality, holidays; designed for analyst-in-the-loop forecasting.

2020 160 cited

N-BEATS: Neural Basis Expansion Analysis for Interpretable Time Series Forecasting

Boris N. Oreshkin, Dmitri Carpov, Nicolas Chapados, Yoshua Bengio

First pure DL model to beat M4 winner; interpretable version decomposes into trend and seasonality.

2021 153 cited

Temporal Fusion Transformers for Interpretable Multi-horizon Time Series Forecasting

Bryan Lim, Sercan Ö. Arık, Nicolas Loeff, Tomas Pfister

Google's attention architecture handling static covariates, known future inputs, observed past-only features.

2022 366 cited

M5 Accuracy Competition: Results, Findings, and Conclusions

Spyros Makridakis, Evangelos Spiliotis, Vassilios Assimakopoulos

42,840 Walmart series; LightGBM and DL dominated; 22% improvement over best benchmark.

2018 872 cited

Deep State Space Models for Time Series Forecasting

Syama Sundar Rangapuram, Matthias Seeger, Jan Gasthaus, Lorenzo Stella, Yuyang Wang, Tim Januschowski

Combines state space models with deep learning; enables interpretable components with neural flexibility.

Transformers & MLPs for Forecasting

Apply attention and MLP architectures to time series

2021 4521 cited

Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecasting

Haoyi Zhou, Shanghang Zhang, Jieqi Peng, Shuai Zhang, Jianxin Li, Hui Xiong, Wancai Zhang

AAAI Best Paper; ProbSparse attention achieving O(L log L) complexity for long sequences.

2021 1876 cited

Autoformer: Decomposition Transformers with Auto-Correlation for Long-Term Series Forecasting

Haixu Wu, Jiehui Xu, Jianmin Wang, Mingsheng Long

Novel auto-correlation mechanism replacing attention; built-in series decomposition improves interpretability.

2022 1234 cited

FEDformer: Frequency Enhanced Decomposed Transformer for Long-term Series Forecasting

Tian Zhou, Ziqing Ma, Qingsong Wen, Xue Wang, Liang Sun, Rong Jin

Fourier-enhanced attention capturing global patterns in frequency domain with linear complexity.

2023 892 cited

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

Yuqi Nie, Nam H. Nguyen, Phanwadee Sinthong, Jayant Kalagnanam

Patching time series like images; channel-independence achieving SOTA on long-term benchmarks.

2023 287 cited

TSMixer: An All-MLP Architecture for Time Series Forecasting

Si-An Chen, Chun-Liang Li, Nate Yoder, Sercan Ö. Arık, Tomas Pfister

Google's MLP-Mixer adaptation showing simple MLPs can match or beat transformers on forecasting.

2023 156 cited

TSMixer: Lightweight MLP-Mixer Model for Multivariate Time Series Forecasting

Vijay Ekambaram, Arindam Jati, Nam Nguyen, Phanwadee Sinthong, Jayant Kalagnanam

IBM's TSMixer variant with cross-variate mixing; strong M5 performance with fewer parameters.

Foundation Models for Time Series

Apply pre-trained models to forecasting tasks

2024 287 cited

Chronos: Learning the Language of Time Series

Abdul Fatir Ansari, Lorenzo Stella, Caner Turkmen, Xiyuan Zhang, Pedro Mercado, Huibin Shen, Oleksandr Shchur, Syama Sundar Rangapuram, Sebastian Pineda Arango, Shubham Kapoor, Jasper Zschiegner, Danielle C. Maddix, Michael W. Mahoney, Kari Torkkola, Andrew Gordon Wilson, Michael Bohlke-Schneider, Yuyang Wang

Amazon's tokenized time series foundation model; zero-shot forecasting matching fine-tuned models.

2024 312 cited

TimeGPT-1

Azul Garza, Max Mergenthaler-Canseco

First commercial time series foundation model; API-based zero-shot forecasting for practitioners.

2024 198 cited

Lag-Llama: Towards Foundation Models for Probabilistic Time Series Forecasting

Kashif Rasul, Arjun Ashok, Andrew Robert Williams, Arian Khorasani, George Adamopoulos, Rishika Bhagwatkar, Marin Biloš, Hena Ghonia, Nadhir Hassen, Anderson Schneider, Sahil Garg, Alexandre Drouin, Nicolas Chapados, Yuriy Nevmyvaka, Irina Rish

Open-source decoder-only foundation model for probabilistic forecasting; strong zero-shot transfer.

2024 156 cited

MOMENT: A Family of Open Time-series Foundation Models

Mononito Goswami, Konrad Szafer, Arjun Choudhry, Yifu Cai, Shuo Li, Artur Dubrawski

CMU's open foundation model supporting forecasting, classification, anomaly detection, and imputation.

2024 234 cited

A Decoder-Only Foundation Model for Time-Series Forecasting (TimesFM)

Abhimanyu Das, Weihao Kong, Rajat Sen, Yichen Zhou

Google's 200M parameter foundation model trained on 100B time points; strong zero-shot performance.

2024 167 cited

Unified Training of Universal Time Series Forecasting Transformers (Moirai)

Gerald Woo, Chenghao Liu, Akshat Kumar, Caiming Xiong, Silvio Savarese, Doyen Sahoo

Salesforce's multi-patch model handling variable frequencies and prediction lengths in single model.

2024 289 cited

Time-LLM: Time Series Forecasting by Reprogramming Large Language Models

Ming Jin, Shiyu Wang, Lintao Ma, Zhixuan Chu, James Y. Zhang, Xiaoming Shi, Pin-Yu Chen, Yuxuan Liang, Yuan-Fang Li, Shirui Pan, Qingsong Wen

Repurposing frozen LLMs for forecasting via prompt reprogramming; no time series pre-training needed.

Intermittent Demand Forecasting

Forecast sparse, irregular demand patterns

1972 1876 cited

Forecasting and Stock Control for Intermittent Demands

John D. Croston

Foundational method separating demand size from demand occurrence; basis for spare parts forecasting.

2005 1234 cited

The Accuracy of Intermittent Demand Estimates

Aris A. Syntetos, John E. Boylan

SBA method correcting Croston's bias; widely adopted in supply chain software.

2011 567 cited

Intermittent Demand Forecasting with Context-Aware Learning

Ruud Teunter, Aris A. Syntetos, M. Zied Babai

TSB method explicitly modeling demand probability; improved coverage for slow-moving items.

2020 789 cited

GluonTS: Probabilistic and Neural Time Series Modeling in Python

Alexander Alexandrov, Konstantinos Benidis, Michael Bohlke-Schneider, Valentin Flunkert, Jan Gasthaus, Tim Januschowski, Danielle C. Maddix, Syama Rangapuram, David Salinas, Jasper Schulz, Lorenzo Stella, Ali Caner Türkmen, Yuyang Wang

Amazon's open-source toolkit; includes intermittent demand models and extensive benchmarking.

Time Series Anomaly Detection

Detect anomalies and change points in time series

2007 1456 cited

Bayesian Online Changepoint Detection

Ryan P. Adams, David J.C. MacKay

Elegant Bayesian framework for online change point detection; foundational for streaming applications.

2019 892 cited

Time-Series Anomaly Detection Service at Microsoft

Hansheng Ren, Bixiong Xu, Yujing Wang, Chao Yi, Congrui Huang, Xiaoyu Kou, Tony Xing, Mao Yang, Jie Tong, Qi Zhang

Microsoft's production system using spectral residual and CNN; handles millions of time series.

2016 678 cited

Robust Random Cut Forest Based Anomaly Detection on Streams

Sudipto Guha, Nina Mishra, Gourav Roy, Okke Schrijvers

Amazon's streaming anomaly detection algorithm; efficient updates and interpretable anomaly scores.

2019 1123 cited

OmniAnomaly: Robust Anomaly Detection for Multivariate Time Series through Stochastic Recurrent Neural Network

Ya Su, Youjian Zhao, Chenhao Niu, Rong Liu, Wei Sun, Dan Pei

VAE-based approach for multivariate anomaly detection; captures temporal dependencies and normal patterns.

Causal Impact & Intervention

Measure the impact of events or launches

2015 899 cited

Inferring Causal Impact Using Bayesian Structural Time-Series Models

Kay H. Brodersen, Fabian Gallusser, Jim Koehler, Nicolas Remy, Steven L. Scott

Google's CausalImpact for estimating causal effects from observational time series; widely used for attribution.

2010 5029 cited

Synthetic Control Methods for Comparative Case Studies

Alberto Abadie, Alexis Diamond, Jens Hainmueller

Foundational synthetic control paper; 'most important innovation in evaluation literature in 15 years'.

2021 1186 cited

Using Synthetic Controls: Feasibility, Data Requirements, and Methodological Aspects

Alberto Abadie

Comprehensive methodological review covering feasibility, inference, and best practices.

2014 306 cited

Predicting the Present with Bayesian Structural Time Series

Steven L. Scott, Hal R. Varian

Google's BSTS framework for nowcasting with spike-and-slab regression for variable selection.

2021 2341 cited

Difference-in-Differences with Multiple Time Periods

Brantly Callaway, Pedro H.C. Sant'Anna

Modern DiD handling staggered treatment timing and heterogeneous effects; doubly-robust estimator.

2023 892 cited

What's Trending in Difference-in-Differences? A Synthesis of the Recent Econometrics Literature

Jonathan Roth, Pedro H.C. Sant'Anna, Alyssa Bilinski, John Poe

Comprehensive synthesis of modern DiD developments; essential guide to recent methodological advances.

Production Forecasting Systems

Build and evaluate forecasting systems at scale

2022 287 cited

Orbit: Probabilistic Forecast with Exponential Smoothing

Edwin Ng, Zhishi Wang, Huiber Luo, Steve Yang, Slawek Smyl, Christoph Bergmeir

Uber's Bayesian forecasting framework combining ETS with global models; production-ready with uncertainty.

2018 4521 cited

Forecasting at Scale (Prophet)

Sean J. Taylor, Benjamin Letham

Meta's production system enabling analysts to create reliable forecasts with domain knowledge.

2021 156 cited

Demand Forecasting at Alibaba: Practice and Lessons Learned

Alibaba Group

Large-scale demand forecasting system handling billions of SKUs; hierarchical and cross-learning approaches.

2019 567 cited

150 Successful Machine Learning Models: 6 Lessons Learned at Booking.com

Lucas Bernardi, Themis Mavridis, Pablo Estevez

Practical lessons from production ML including forecasting; emphasizes offline-online gaps and iteration.

1995 8934 cited

Comparing Predictive Accuracy

Francis X. Diebold, Robert S. Mariano

The Diebold-Mariano test for forecast comparison; essential for model selection in production.

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