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Exogenous heterogeneity, for example, in the form of instrumental variables can help us learn a system's underlying causal structure and predict the outcome of unseen intervention experiments. In this paper, we consider linear models in…

Methodology · Statistics 2024-10-21 Niklas Pfister , Jonas Peters

The Transformer architecture has revolutionized the field of sequence modeling and underpins the recent breakthroughs in large language models (LLMs). However, a comprehensive mathematical theory that explains its structure and operations…

Machine Learning · Computer Science 2026-04-14 Xue-Cheng Tai , Hao Liu , Lingfeng Li , Raymond H. Chan

Chord recognition serves as a critical task in music information retrieval due to the abstract and descriptive nature of chords in music analysis. While audio chord recognition systems have achieved significant accuracy for small…

Temporal causal discovery is a crucial task aimed at uncovering the causal relations within time series data. The latest temporal causal discovery methods usually train deep learning models on prediction tasks to uncover the causality…

Machine Learning · Computer Science 2024-06-25 Lingbai Kong , Wengen Li , Hanchen Yang , Yichao Zhang , Jihong Guan , Shuigeng Zhou

Learning causal relationships among a set of variables, as encoded by a directed acyclic graph, from observational data is complicated by the presence of unobserved confounders. Instrumental variables (IVs) are a popular remedy for this…

Methodology · Statistics 2025-04-17 Jing Zou , Wei Li , Wei Lin

Self-organizing systems demonstrate how simple local rules can generate complex stochastic patterns. Many natural systems rely on such dynamics, making self-organization central to understanding natural complexity. A fundamental challenge…

Adaptation and Self-Organizing Systems · Physics 2026-01-12 Elias Najarro , Nicolas Bessone , Sebastian Risi

Transformer-based models have become state-of-the-art tools in various machine learning tasks, including time series classification, yet their complexity makes understanding their internal decision-making challenging. Existing…

Machine Learning · Computer Science 2025-11-27 Matīss Kalnāre , Sofoklis Kitharidis , Thomas Bäck , Niki van Stein

Inference and prediction under partial knowledge of a physical system is challenging, particularly when multiple confounding sources influence the measured response. Explicitly accounting for these influences in physics-based models is…

Machine Learning · Statistics 2026-01-14 Ioannis Christoforos Koune , Alice Cicirello

We discuss a class of difference-based estimators for the autocovariance in nonparametric regression when the signal is discontinuous (change-point regression), possibly highly fluctuating, and the errors form a stationary $m$-dependent…

Methodology · Statistics 2016-08-09 Inder Tecuapetla-Gómez , Axel Munk

Most existing multivariate time series forecasting methods adopt an all-to-all paradigm that feeds all variable histories into a unified model to predict their future values without distinguishing their individual roles. However, this…

Machine Learning · Computer Science 2026-02-16 Xingyu Zhang , Hanyun Du , Zeen Song , Siyu Zhao , Changwen Zheng , Wenwen Qiang

To reach human level intelligence, learning algorithms need to incorporate causal reasoning. But identifying causality, and particularly counterfactual reasoning, remains elusive. In this paper, we make progress on counterfactual inference…

Machine Learning · Statistics 2026-03-31 Marc Braun , Jose M. Peña , Adel Daoud

A serious problem in image classification is that a trained model might perform well for input data that originates from the same distribution as the data available for model training, but performs much worse for out-of-distribution (OOD)…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Rajat Koner , Poulami Sinhamahapatra , Karsten Roscher , Stephan Günnemann , Volker Tresp

In offline reinforcement learning (RL) an optimal policy is learned solely from a priori collected observational data. However, in observational data, actions are often confounded by unobserved variables. Instrumental variables (IVs), in…

Machine Learning · Statistics 2024-10-16 Luofeng Liao , Zuyue Fu , Zhuoran Yang , Yixin Wang , Mladen Kolar , Zhaoran Wang

Clinical time-series learning is routinely constrained by small, heterogeneous cohorts and protocol drift, while its downstream use spans both classification (e.g., pathology diagnosis) and regression (e.g., temporal forecasting). These…

Machine Learning · Computer Science 2026-05-29 Sharmita Dey , Diego Paez-Granados

The ability to reason with multiple hierarchical structures is an attractive and desirable property of sequential inductive biases for natural language processing. Do the state-of-the-art Transformers and LSTM architectures implicitly…

Computation and Language · Computer Science 2021-11-30 Bill Tuck Weng Pung , Alvin Chan

In-context learning for tabular data sets strong predictive standards in observational settings; it however primarily relies on correlational structure, which becomes unreliable under distribution shift or intervention. While established…

Machine Learning · Computer Science 2026-05-22 Sascha Xu , Sarah Mameche , Jilles Vreeken

A cognitive map is an internal model which encodes the abstract relationships among entities in the world, giving humans and animals the flexibility to adapt to new situations, with a strong out-of-distribution (OOD) generalization that…

Machine Learning · Computer Science 2026-05-12 Victor Rambaud , Salvador Mascarenhas , Yair Lakretz

The growing interest in Temporal Graph Neural Networks (TGNNs) stems from their ability to model complex dynamics and deliver superior performance. However, TGNNs encounter fundamental challenges in capturing long-term dependencies and…

Machine Learning · Computer Science 2026-05-26 Hongjiang Chen , Pengfei Jiao , Ming Du , Xuan Guo , Zhidong Zhao , Di Jin , Xiao Liu

Transformers excel at time series modelling through attention mechanisms that capture long-term temporal patterns. However, they assume uniform time intervals and therefore struggle with irregular time series. Neural Ordinary Differential…

Machine Learning · Computer Science 2026-05-13 Yashas Shende , Aritra Das , Reva Laxmi Chauhan , Arghya Pathak , Debayan Gupta

Recursive (looped) Transformers decouple computational depth from parameter depth by repeatedly applying shared layers, providing an explicit architectural primitive for iterative refinement and latent reasoning. However, early looped…

Machine Learning · Computer Science 2026-04-21 Chengting Yu , Xiaobo Shu , Yadao Wang , Yizhen Zhang , Haoyi Wu , You Wu , Rujiao Long , Ziheng Chen , Yuchi Xu , Wenbo Su , Bo Zheng