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In present paper we suggest a new universal approach to study complex systems by microscopic, mesoscopic and macroscopic methods. We discuss new possibilities of extracting information on nonstationarity, unsteadiness and non-Markovity of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Renat M. Yulmetyev , Anatolii V. Mokshin , Peter Hänggi

Evaluating models on large benchmarks is very resource-intensive, especially during the period of rapid model evolution. Existing efficient evaluation methods estimate the performance of target models by testing them only on a small and…

Machine Learning · Computer Science 2025-06-03 Peiwen Yuan , Yueqi Zhang , Shaoxiong Feng , Yiwei Li , Xinglin Wang , Jiayi Shi , Chuyi Tan , Boyuan Pan , Yao Hu , Kan Li

The study of natural and human-made processes often results in long sequences of temporally-ordered values, aka time series (TS). Such processes often consist of multiple states, e.g. operating modes of a machine, such that state changes in…

Machine Learning · Computer Science 2023-02-17 Arik Ermshaus , Patrick Schäfer , Ulf Leser

One of the challenging research problems in the domain of time series analysis and forecasting is making efficient and robust prediction of stock market prices. With rapid development and evolution of sophisticated algorithms and with the…

Other Computer Science · Computer Science 2016-05-13 Jaydip Sen , Tamal Datta Chaudhuri

Deep learning has been actively applied to time series forecasting, leading to a deluge of new methods, belonging to the class of historical-value models. Yet, despite the attractive properties of time-index models, such as being able to…

Machine Learning · Computer Science 2023-10-18 Gerald Woo , Chenghao Liu , Doyen Sahoo , Akshat Kumar , Steven Hoi

Time series foundation models (TSFMs) have recently gained significant attention due to their strong zero-shot capabilities and widespread real-world applications. Such models typically require a computationally costly pre-training on…

A trustworthy machine learning model should be accurate as well as explainable. Understanding why a model makes a certain decision defines the notion of explainability. While various flavors of explainability have been well-studied in…

Recent advancements have underscored the impact of deep learning techniques on multivariate time series forecasting (MTSF). Generally, these techniques are bifurcated into two categories: Channel-independence and Channel-mixing approaches.…

Machine Learning · Computer Science 2024-03-05 Shiyi Qi , Liangjian Wen , Yiduo Li , Yuanhang Yang , Zhe Li , Zhongwen Rao , Lujia Pan , Zenglin Xu

Multivariate time series are routinely encountered in real-world applications, and in many cases, these time series are strongly correlated. In this paper, we present a deep learning structural time series model which can (i) handle…

Machine Learning · Statistics 2020-01-03 Changwei Hu , Yifan Hu , Sungyong Seo

Platform businesses operate on a digital core and their decision making requires high-dimensional accurate forecast streams at different levels of cross-sectional (e.g., geographical regions) and temporal aggregation (e.g., minutes to…

Econometrics · Economics 2024-06-03 Jeroen Rombouts , Marie Ternes , Ines Wilms

In time series forecasting, effectively disentangling intricate temporal patterns is crucial. While recent works endeavor to combine decomposition techniques with deep learning, multiple frequencies may still be mixed in the decomposed…

Artificial Intelligence · Computer Science 2024-03-27 Xiaobing Yuan , Ling Chen

Large language models (LLMs) are increasingly envisioned as decision-support tools in clinical practice, yet safe clinical reasoning demands integrating heterogeneous knowledge bases -- trials, primary studies, regulatory documents, and…

Computation and Language · Computer Science 2025-05-22 Shan Chen , Pedro Moreira , Yuxin Xiao , Sam Schmidgall , Jeremy Warner , Hugo Aerts , Thomas Hartvigsen , Jack Gallifant , Danielle S. Bitterman

Multistage stochastic programming provides a modeling framework for sequential decision-making problems that involve uncertainty. One typically overlooked aspect of this methodology is how uncertainty is incorporated into modeling.…

Optimization and Control · Mathematics 2021-09-24 Juyoung Wang , Mucahit Cevik , Merve Bodur

Software modernisation through the migration from monolithic architectures to microservices has become increasingly critical, yet identifying effective service boundaries remains a complex and unresolved challenge. Although numerous…

We propose a three-stage framework for forecasting high-dimensional time-series data. Our method first estimates parameters for each univariate time series. Next, we use these parameters to cluster the time series. These clusters can be…

Machine Learning · Computer Science 2021-10-28 Reese Pathak , Rajat Sen , Nikhil Rao , N. Benjamin Erichson , Michael I. Jordan , Inderjit S. Dhillon

Conformal Prediction is a framework that produces prediction intervals based on the output from a machine learning algorithm. In this paper we explore the case when training data is made up of multiple parts available in different sources…

Machine Learning · Statistics 2019-08-16 Ola Spjuth , Robin Carrión Brännström , Lars Carlsson , Niharika Gauraha

Conformal prediction offers a powerful framework for building distribution-free prediction intervals for exchangeable data. Existing methods that extend conformal prediction to sequential data rely on fitting a relatively complex model to…

Machine Learning · Computer Science 2026-03-03 Roberto Neglia , Andrea Cini , Michael M. Bronstein , Filippo Maria Bianchi

Temporal reasoning and planning are essential capabilities for large language models (LLMs), yet most existing benchmarks evaluate them in isolation and under limited forms of complexity. To address this gap, we introduce the Temporal…

Artificial Intelligence · Computer Science 2025-10-14 Zifeng Ding , Sikuan Yan , Zhangdie Yuan , Xianglong Hu , Fangru Lin , Andreas Vlachos

Designing effective score functions in Conformal Prediction (CP) for time-series data remains challenging due to conservativeness and/or computational inefficiency. We propose Optimal Selection Conformal Prediction (OSCP), which…

Optimization and Control · Mathematics 2026-05-05 Boyu Pang , Kostas Margellos

Despite the outstanding performance of deep learning models in clinical prediction tasks, explainability remains a significant challenge. Inspired by transformer architectures, we introduce the Temporal-Feature Cross Attention Mechanism…

Machine Learning · Computer Science 2025-09-22 Yubo Li , Xinyu Yao , Rema Padman