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We consider the PC-algorithm Spirtes et. al. (2000) for estimating the skeleton of a very high-dimensional acyclic directed graph (DAG) with corresponding Gaussian distribution. The PC-algorithm is computationally feasible for sparse…

Statistics Theory · Mathematics 2007-06-13 Markus Kalisch , Peter Buehlmann

This study proposes a novel approach that combines theory and data-driven choice models using Artificial Neural Networks (ANNs). In particular, we use continuous vector representations, called embeddings, for encoding categorical or…

Machine Learning · Statistics 2021-10-01 Ioanna Arkoudi , Carlos Lima Azevedo , Francisco C. Pereira

Based on the observation that many existing discrete choice models admit a welfare function of utilities whose gradient gives the choice probability vector, we propose a new representation of discrete choice model which we call the…

Optimization and Control · Mathematics 2015-03-09 Guiyun Feng , Xiaobo Li , Zizhuo Wang

This paper introduces the RUMBoost model, a novel discrete choice modelling approach that combines the interpretability and behavioural robustness of Random Utility Models (RUMs) with the generalisation and predictive ability of deep…

Machine Learning · Computer Science 2024-11-19 Nicolas Salvadé , Tim Hillel

Ranking data arises in a wide variety of application areas but remains difficult to model, learn from, and predict. Datasets often exhibit multimodality, intransitivity, or incomplete rankings---particularly when generated by humans---yet…

Machine Learning · Computer Science 2019-01-29 Stephen Ragain , Johan Ugander

Tolling in traffic networks offers a popular measure to minimize overall congestion. Existing toll designs primarily focus on congestion in route-based traffic assignment models (TAMs), in which travelers make a single route selection from…

Systems and Control · Electrical Eng. & Systems 2023-10-26 Chih-Yuan Chiu , Chinmay Maheshwari , Pan-Yang Su , Shankar Sastry

We present a representation learning algorithm that learns a low-dimensional latent dynamical system from high-dimensional \textit{sequential} raw data, e.g., video. The framework builds upon recent advances in amortized inference methods…

Machine Learning · Computer Science 2020-01-29 Jung-Su Ha , Young-Jin Park , Hyeok-Joo Chae , Soon-Seo Park , Han-Lim Choi

Medication Recommendation (MR) is a promising research topic which booms diverse applications in the healthcare and clinical domains. However, existing methods mainly rely on sequential modeling and static graphs for representation…

Machine Learning · Computer Science 2025-01-16 Guanlin Liu , Xiaomei Yu , Zihao Liu , Xue Li , Xingxu Fan , Xiangwei Zheng

We propose and systematically evaluate three strategies for training dynamically-routed artificial neural networks: graphs of learned transformations through which different input signals may take different paths. Though some approaches…

Machine Learning · Statistics 2017-09-14 Mason McGill , Pietro Perona

This paper answers a fundamental question in artificial neural network (ANN) design: We do not need to build ANNs layer-by-layer sequentially to guarantee the Directed Acyclic Graph (DAG) property. Drawing inspiration from biological…

Neural and Evolutionary Computing · Computer Science 2024-02-07 Liangwei Yang , Hengrui Zhang , Zihe Song , Jiawei Zhang , Weizhi Zhang , Jing Ma , Philip S. Yu

An important part of many machine learning workflows on graphs is vertex representation learning, i.e., learning a low-dimensional vector representation for each vertex in the graph. Recently, several powerful techniques for unsupervised…

Machine Learning · Computer Science 2019-01-23 Hooman Peiro Sajjad , Andrew Docherty , Yuriy Tyshetskiy

Identifying causal relations among multi-variate time series is one of the most important elements towards understanding the complex mechanisms underlying the dynamic system. It provides critical tools for forecasting, simulations and…

Machine Learning · Computer Science 2023-02-22 Yang Sun , Yifan Xie

Understanding travel demand and behavior, particularly route and mode choices, is critical for effective transportation planning and policy design in multi-modal systems with emerging mobility options. Multi-modal system-level data, such as…

Systems and Control · Electrical Eng. & Systems 2026-03-04 Xiaoyu Ma , Sean Qian

Directed acyclic graphs are the basic representation of the structure underlying Bayesian networks, which represent multivariate probability distributions. In many practical applications, such as the reverse engineering of gene regulatory…

Computation · Statistics 2013-11-15 Jack Kuipers , Giusi Moffa

We study a sequential mechanism design problem in which a principal seeks to elicit truthful reports from multiple rational agents while starting with no prior knowledge of agents' beliefs. We introduce Distributionally Robust Adaptive…

Computer Science and Game Theory · Computer Science 2026-04-22 Qiushi Han , David Simchi-Levi , Renfei Tan , Zishuo Zhao

The paper formalizes a version of parallel online directed acyclic graph (DAG) exploration, general enough to be readily mapped to many computational scenarios. In both the offline and online versions, vertices are weighted with the work…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-05 Rahul Prabhu , Amit Verma , Meera Sitharam

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

Methodology · Statistics 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

Recommender systems based on graph neural networks receive increasing research interest due to their excellent ability to learn a variety of side information including social networks. However, previous works usually focus on modeling…

Information Retrieval · Computer Science 2022-02-01 Junfa Lin , Siyuan Chen , Jiahai Wang

Directed acyclic graphical models, or DAG models, are widely used to represent complex causal systems. Since the basic task of learning such a model from data is NP-hard, a standard approach is greedy search over the space of directed…

Statistics Theory · Mathematics 2021-06-09 Liam Solus , Yuhao Wang , Caroline Uhler

Graph neural networks are often used to model interacting dynamical systems since they gracefully scale to systems with a varying and high number of agents. While there has been much progress made for deterministic interacting systems,…

Machine Learning · Computer Science 2023-05-04 Andreas Look , Melih Kandemir , Barbara Rakitsch , Jan Peters
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