Ye Liu

Amandeep Singh, Ye Liu, Hema Yoganarasimhan

Choice modeling is at the core of understanding how changes to the competitive landscape affect consumer choices and reshape market equilibria. In this paper, we propose a fundamental characterization of choice functions that encompasses a wide variety of extant choice models. We demonstrate how non-parametric estimators like neural nets can easily approximate such functionals and overcome the curse of dimensionality that is inherent in the non-parametric estimation of choice functions. We demonstrate through extensive simulations that our proposed functionals can flexibly capture underlying consumer behavior in a completely data-driven fashion and outperform traditional parametric models. As demand settings often exhibit endogenous features, we extend our framework to incorporate estimation under endogenous features. Further, we also describe a formal inference procedure to construct valid confidence intervals on objects of interest like price elasticity. Finally, to assess the practical applicability of our estimator, we utilize a real-world dataset from S. Berry, Levinsohn, and Pakes (1995). Our empirical analysis confirms that the estimator generates realistic and comparable own- and cross-price elasticities that are consistent with the observations reported in the existing literature.

Fanpu Cao, Shu Yang, Zhengjian Chen et al.

In long-term time series forecasting, Transformer-based models have achieved great success, due to its ability to capture long-range dependencies. However, existing models face challenges in identifying critical components for prediction, leading to limited interpretability and suboptimal performance. To address these issues, we propose the Inverted Seasonal-Trend Decomposition Transformer (Ister), a novel Transformer-based model for multivariate time series forecasting. Ister decomposes time series into seasonal and trend components, further modeling multi-periodicity and inter-series dependencies using a Dual Transformer architecture. We introduce a novel Dot-attention mechanism that improves interpretability, computational efficiency, and predictive accuracy. Comprehensive experiments on benchmark datasets demonstrate that Ister outperforms existing state-of-the-art models, achieving up to 10% improvement in MSE. Moreover, Ister enables intuitive visualization of component contributions, shedding lights on model's decision process and enhancing transparency in prediction results.