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Bivariate structural causal models (SCM) are often used to infer causal direction by examining their goodness-of-fit under restricted model classes. In this paper, we describe a parametrization of bivariate SCMs in terms of a causal…

Machine Learning · Statistics 2025-06-11 Johnny Xi , Hugh Dance , Peter Orbanz , Benjamin Bloem-Reddy

Dynamical systems are widely used in science and engineering to model systems consisting of several interacting components. Often, they can be given a causal interpretation in the sense that they not only model the evolution of the states…

Artificial Intelligence · Computer Science 2022-03-29 Stephan Bongers , Tineke Blom , Joris M. Mooij

Trajectory anomaly detection, aiming to estimate the anomaly risk of trajectories given the Source-Destination (SD) pairs, has become a critical problem for many real-world applications. Existing solutions directly train a generative model…

Machine Learning · Computer Science 2024-12-30 Wenbin Li , Di Yao , Chang Gong , Xiaokai Chu , Quanliang Jing , Xiaolei Zhou , Yuxuan Zhang , Yunxia Fan , Jingping Bi

Causal Structure Learning (CSL), also referred to as causal discovery, amounts to extracting causal relations among variables in data. CSL enables the estimation of causal effects from observational data alone, avoiding the need to perform…

Machine Learning · Computer Science 2025-02-12 Fabrizio Russo , Francesca Toni

Mobility trajectories are essential for understanding urban dynamics and enhancing urban planning, yet access to such data is frequently hindered by privacy concerns. This research introduces a transformative framework for generating…

The rapid growth of location-based services (LBS) has yielded massive amounts of data on human mobility. Effectively extracting meaningful representations for user-generated check-in sequences is pivotal for facilitating various downstream…

Machine Learning · Computer Science 2024-07-26 Letian Gong , Huaiyu Wan , Shengnan Guo , Xiucheng Li , Yan Lin , Erwen Zheng , Tianyi Wang , Zeyu Zhou , Youfang Lin

Distributional models learn representations of words from text, but are criticized for their lack of grounding, or the linking of text to the non-linguistic world. Grounded language models have had success in learning to connect concrete…

Computation and Language · Computer Science 2022-06-27 Dylan Ebert , Chen Sun , Ellie Pavlick

This work characterizes large language models' chain-of-thought generation as a structured trajectory through representation space. We show that mathematical reasoning traverses functionally ordered, step-specific subspaces that become…

Computation and Language · Computer Science 2026-04-08 Lihao Sun , Hang Dong , Bo Qiao , Qingwei Lin , Dongmei Zhang , Saravan Rajmohan

Effective modeling of human interactions is of utmost importance when forecasting behaviors such as future trajectories. Each individual, with its motion, influences surrounding agents since everyone obeys to social non-written rules such…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Francesco Marchetti , Federico Becattini , Lorenzo Seidenari , Alberto Del Bimbo

Multimodalpersonalityunderstandingplaysacriticalroleinhuman centered artificial intelligence. Previous work mainly focus on learn-ing rich multimodal representations for video personality under standing. However, they often suffer from…

Artificial Intelligence · Computer Science 2026-05-08 Yangfu Zhu , Zitong Han , Nianwen Ning , Yuting Wei , Yuandong Wang , Hang Feng , Zhenzhou Shao

In this paper, we study connections between the classical model-based approach to nonlinear system theory, where systems are represented by equations, and the nonlinear behavioral approach, where systems are defined as sets of trajectories.…

Optimization and Control · Mathematics 2024-05-30 Antonio Fazzi , Alessandro Chiuso

When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

Climate models are essential to understand and project climate change, yet long-standing biases and uncertainties in their projections remain. This is largely associated with the representation of subgrid-scale processes, particularly…

Visual planning simulates how humans make decisions to achieve desired goals in the form of searching for visual causal transitions between an initial visual state and a final visual goal state. It has become increasingly important in…

Artificial Intelligence · Computer Science 2024-03-28 Yilue Qian , Peiyu Yu , Ying Nian Wu , Yao Su , Wei Wang , Lifeng Fan

A `trajectory' refers to a trace generated by a moving object in geographical spaces, usually represented by of a series of chronologically ordered points, where each point consists of a geo-spatial coordinate set and a timestamp. Rapid…

Machine Learning · Computer Science 2021-11-16 Seongjin Choi

Modeling trajectory data with generic-purpose dense representations has become a prevalent paradigm for various downstream applications, such as trajectory classification, travel time estimation and similarity computation. However, existing…

Artificial Intelligence · Computer Science 2024-10-21 Tangwen Qian , Junhe Li , Yile Chen , Gao Cong , Tao Sun , Fei Wang , Yongjun Xu

Reinforcement learning (RL) can be formulated as a sequence modeling problem, where models predict future actions based on historical state-action-reward sequences. Current approaches typically require long trajectory sequences to model the…

Machine Learning · Computer Science 2024-12-23 Hemant Kumawat , Saibal Mukhopadhyay

Ensuring the safety of vulnerable road users through accurate prediction of pedestrian crossing intention (PCI) plays a crucial role in the context of autonomous and assisted driving. Analyzing the set of observation video frames in…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Hongbin Liang , Hezhe Qiao , Wei Huang , Qizhou Wang , Mingsheng Shang , Lin Chen

Trajectory prediction is a critical part of many AI applications, for example, the safe operation of autonomous vehicles. However, current methods are prone to making inconsistent and physically unrealistic predictions. We leverage insights…

Machine Learning · Computer Science 2021-03-19 Robin Walters , Jinxi Li , Rose Yu

In explanatory interactive learning (XIL) the user queries the learner, then the learner explains its answer to the user and finally the loop repeats. XIL is attractive for two reasons, (1) the learner becomes better and (2) the user's…

Machine Learning · Computer Science 2022-12-27 Matej Zečević , Devendra Singh Dhami , Constantin A. Rothkopf , Kristian Kersting
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