
arXiv:2606.05649v1 Announce Type: cross Abstract: Scenario generation is a critical component in stochastic programming (SP), as it directly influences the quality of decision-making under uncertainty. Existing approaches predominantly rely on either sampling-based techniques or supervised learning using neural networks. Sampling-based techniques often struggle to capture complex dependencies and rare but plausible events, while supervised learning requires fixed input-output pairs for training and is limited in its ability to generate a wide variety of realistic scenarios that are not restric
The development of advanced diffusion models intersects with the growing need for more robust and realistic scenario generation in computational finance and operational research, where current methods have limitations.
Improved scenario generation in stochastic programming offers higher fidelity decision-making under uncertainty, impacting critical areas from supply chain optimization to financial risk management. This new method could make stochastic programming more robust and less prone to 'black swan' events.
Traditional sampling and supervised learning methods for scenario generation will be augmented or replaced by more sophisticated diffusion models capable of capturing complex dependencies and rare events. Diffusion models will enhance the ability to generate a wide variety of realistic scenarios that are traditionally hard to model.
- · Financial institutions
- · Supply chain logistics
- · Energy grid operators
- · AI researchers in stochastic programming
- · Traditional sampling-based scenario generators
- · Supervised learning methods for scenario generation
- · Organizations relying on overly simplistic uncertainty models
More accurate and reliable predictions for complex systems operating under uncertainty will emerge.
This could lead to more efficient resource allocation, reduced operational risks, and potentially higher returns in sectors heavily reliant on stochastic planning.
The broader application of diffusion models for synthetic data generation beyond SP could be accelerated, impacting data privacy and model training for other AI applications.
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Read at arXiv cs.LG