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This paper develops a highly general convex duality framework for the perturbed utility route choice (PURC) model. We show that the traveler's constrained, potentially non-smooth utility maximization problem admits a dual formulation: an…

Theoretical Economics · Economics 2026-04-23 Mogens Fosgerau , Jesper R. -V. Sørensen

This paper describes a general framework called Hybrid Dynamic Mixed Networks (HDMNs) which are Hybrid Dynamic Bayesian Networks that allow representation of discrete deterministic information in the form of constraints. We propose…

Artificial Intelligence · Computer Science 2012-07-09 Vibhav Gogate , Rina Dechter , Bozhena Bidyuk , Craig Rindt , James Marca

Generalized linear models (GLMs) form one of the most popular classes of models in statistics. The gamma variant is used, for instance, in actuarial science for the modelling of claim amounts in insurance. A flaw of GLMs is that they are…

Methodology · Statistics 2024-02-12 Philippe Gagnon , Yuxi Wang

Traditional network models encapsulate travel behavior among all origin-destination pairs based on a simplified and generic utility function. Typically, the utility function consists of travel time solely and its coefficients are equated to…

Applications · Statistics 2022-04-26 Pablo Guarda , Sean Qian

Change-of-variables (CoV) formulas allow to reduce complicated probability densities to simpler ones by a learned transformation with tractable Jacobian determinant. They are thus powerful tools for maximum-likelihood learning, Bayesian…

Machine Learning · Computer Science 2023-08-08 Ullrich Köthe

General Value Functions (GVFs) (Sutton et al., 2011) represent predictive knowledge in reinforcement learning. Each GVF computes the expected return for a given policy, based on a unique reward. Existing methods relying on fixed behavior…

Machine Learning · Computer Science 2024-10-15 Arushi Jain , Josiah P. Hanna , Doina Precup

Modelling longitudinal data is an important yet challenging task. These datasets can be high-dimensional, contain non-linear effects and time-varying covariates. Gaussian process (GP) prior-based variational autoencoders (VAEs) have emerged…

Machine Learning · Computer Science 2024-09-18 Priscilla Ong , Manuel Haußmann , Otto Lönnroth , Harri Lähdesmäki

We explore the estimation of generalized additive models using basis expansion in conjunction with Bayesian model selection. Although Bayesian model selection is useful for regression splines, it has traditionally been applied mainly to…

Methodology · Statistics 2024-09-02 Gyeonghun Kang , Seonghyun Jeong

Variational Bayes (VB) methods have emerged as a fast and computationally-efficient alternative to Markov chain Monte Carlo (MCMC) methods for scalable Bayesian estimation of mixed multinomial logit (MMNL) models. It has been established…

Machine Learning · Statistics 2019-12-13 Prateek Bansal , Rico Krueger , Michel Bierlaire , Ricardo A. Daziano , Taha H. Rashidi

We propose Preferential MoE, a novel human-ML mixture-of-experts model that augments human expertise in decision making with a data-based classifier only when necessary for predictive performance. Our model exhibits an interpretable gating…

Machine Learning · Computer Science 2021-01-15 Melanie F. Pradier , Javier Zazo , Sonali Parbhoo , Roy H. Perlis , Maurizio Zazzi , Finale Doshi-Velez

Multivariate relations are general in various types of networks, such as biological networks, social networks, transportation networks, and academic networks. Due to the principle of ternary closures and the trend of group formation, the…

Social and Information Networks · Computer Science 2020-08-11 Jin Xu , Shuo Yu , Ke Sun , Jing Ren , Ivan Lee , Shirui Pan , Feng Xia

Analysis of high-dimensional data is currently a popular field of research, thanks to many applications e.g. in genetics (DNA data in genomewide association studies), spectrometry or web analysis. At the same time, the type of problems that…

Methodology · Statistics 2018-05-25 Jozef Jakubik

The generalized extreme value (GEV) distribution is commonly employed to help estimate the likelihood of extreme events in many geophysical and other application areas. The recently proposed blended generalized extreme value (bGEV)…

Applications · Statistics 2024-10-10 Nir Y. Krakauer

In this work, we investigate an optimization problem over adapted couplings between pairs of real valued random variables, possibly describing random times. We relate those couplings to a specific class of causal transport plans between…

Probability · Mathematics 2022-10-18 Rémi Lassalle

Identification of multinomial choice models is often established by using special covariates that have full support. This paper shows how these identification results can be extended to a large class of multinomial choice models when all…

Econometrics · Economics 2022-03-23 Nail Kashaev

This study proposes a mixed logit model with multivariate nonparametric finite mixture distributions. The support of the distribution is specified as a high-dimensional grid over the coefficient space, with equal or unequal intervals…

Econometrics · Economics 2018-02-08 Akshay Vij , Rico Krueger

In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains some new sub-models such as the bivariate generalized…

Computation · Statistics 2015-08-04 Ali Akbar Jafari , Rasool Roozegar

Inference and prediction of routes have become of interest over the past decade owing to a dramatic increase in package delivery and ride-sharing services. Given the underlying combinatorial structure and the incorporation of probabilities,…

Logic in Computer Science · Computer Science 2023-06-21 Suwei Yang , Victor C. Liang , Kuldeep S. Meel

A simple generative model for rank ordered data with ties is presented. The model is based on ordering geometric latent variables and can be seen as the discrete counterpart of the Plackett-Luce (PL) model, a popular, relatively tractable…

Methodology · Statistics 2022-12-19 Daniel A. Henderson

Directions and paths, as commonly provided by navigation systems, are usually derived considering absolute metrics, e.g., finding the shortest path within an underlying road network. With the aid of crowdsourced geospatial data we aim at…

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