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The recursive logit (RL) model has become a widely used framework for route choice modeling, but it suffers from a key limitation: it assigns nonzero probabilities to all paths in the network, including those that are unrealistic, such as…

Econometrics · Economics 2025-09-03 Hung Tran , Tien Mai , Minh Ha Hoang

In this paper, we revisit parameter estimation for multinomial logit (MNL), nested logit (NL), and tree-nested logit (TNL) models through the framework of convex conic optimization. Traditional approaches typically solve the maximum…

Econometrics · Economics 2025-09-03 Hoang Giang Pham , Tien Mai , Minh Ha Hoang

The travel demand forecasting model plays a crucial role in evaluating large-scale infrastructure projects, such as the construction of new roads or transit lines. While combined modeling approaches have been explored as a solution to…

Optimization and Control · Mathematics 2023-08-04 Youngseo Kim , Samitha Samaranayake , Damon Wischik

We propose a recursive logit model which captures the notion of choice aversion by imposing a penalty term that accounts for the dimension of the choice set at each node of the transportation network. We make three contributions. First, we…

Econometrics · Economics 2021-10-19 Austin Knies , Jorge Lorca , Emerson Melo

Directional motion towards a specified destination is a common occurrence in physical processes and human societal activities. Utilizing this prior information can significantly improve the control and predictive performance of system…

Systems and Control · Electrical Eng. & Systems 2024-03-27 Xiaowei Yang , Haiqi Liu , Fanqin Meng , Xiaojing Shen

Trajectory prediction plays a pivotal role in the field of intelligent vehicles. It currently suffers from several challenges,e.g., accumulative error in rollout process and weak adaptability in various scenarios. This paper proposes a…

Machine Learning · Computer Science 2021-08-04 Qifan Xue , Xuanpeng Li , Weigong Zhang

In this paper, we propose a convex formulation for learning logistic regression model (logit) with latent heterogeneous effect on sub-population. In transportation, logistic regression and its variants are often interpreted as discrete…

Machine Learning · Computer Science 2021-08-24 Hongyuan Zhan , Kamesh Madduri , Venkataraman Shankar

This paper presents a novel deep learning-based travel behaviour choice model.Our proposed Residual Logit (ResLogit) model formulation seamlessly integrates a Deep Neural Network (DNN) architecture into a multinomial logit model. Recently,…

Econometrics · Economics 2021-02-17 Melvin Wong , Bilal Farooq

Logistic regression is commonly used for modeling dichotomous outcomes. In the classical setting, where the number of observations is much larger than the number of parameters, properties of the maximum likelihood estimator in logistic…

Machine Learning · Statistics 2019-11-14 Fariborz Salehi , Ehsan Abbasi , Babak Hassibi

This work concerns the estimation of recursive route choice models in the situation that the trip observations are incomplete, i.e., there are unconnected links (or nodes) in the observations. A direct approach to handle this issue would be…

Econometrics · Economics 2022-04-28 Tien Mai , The Viet Bui , Quoc Phong Nguyen , Tho V. Le

We study a class of constrained reinforcement learning (RL) problems in which multiple constraint specifications are not identified before training. It is challenging to identify appropriate constraint specifications due to the undefined…

Optimization and Control · Mathematics 2024-01-02 Dongsheng Ding , Zhengyan Huan , Alejandro Ribeiro

We study the law of the iterated logarithm (LIL) for the maximum likelihood estimation of the parameters (as a convex optimization problem) in the generalized linear models with independent or weakly dependent ($\rho$-mixing, $m$-dependent)…

Statistics Theory · Mathematics 2020-04-28 Xiaowei Yang , Shuang Song , Huiming Zhang

In this paper, we consider the contextual variant of the MNL-Bandit problem. More specifically, we consider a dynamic set optimization problem, where a decision-maker offers a subset (assortment) of products to a consumer and observes the…

Machine Learning · Computer Science 2024-04-16 Priyank Agrawal , Theja Tulabandhula , Vashist Avadhanula

Although the recursive logit (RL) model has been recently popular and has led to many applications and extensions, an important numerical issue with respect to the computation of value functions remains unsolved. This issue is particularly…

Econometrics · Economics 2023-01-13 Yuki Oyama

In this work, we address the problem of determining reliable policies in reinforcement learning (RL), with a focus on optimization under uncertainty and the need for performance guarantees. While classical RL algorithms aim at maximizing…

Machine Learning · Computer Science 2025-10-22 Nadir Farhi

In this paper, we develop a simulation-based framework for regularized logistic regression, exploiting two novel results for scale mixtures of normals. By carefully choosing a hierarchical model for the likelihood by one type of mixture,…

Methodology · Statistics 2015-03-17 Robert B. Gramacy , Nicholas G. Polson

Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao

The output of predictive models is routinely recalibrated by reconciling low-level predictions with known derived quantities defined at higher levels of aggregation. For example, models predicting turnout probabilities at the individual…

Methodology · Statistics 2021-12-14 Evan T. R. Rosenman , Santiago Olivella

LLM routing aims to select the most appropriate model for each query, balancing competing performance metrics such as accuracy and cost across a pool of language models. Prior approaches typically adopt a decoupled strategy, where the…

Artificial Intelligence · Computer Science 2026-01-05 Asterios Tsiourvas , Wei Sun , Georgia Perakis

Recently, the number of off-the-shelf Large Language Models (LLMs) has exploded with many open-source options. This creates a diverse landscape regarding both serving options (e.g., inference on local hardware vs remote LLM APIs) and model…

Machine Learning · Computer Science 2024-12-18 Dimitrios Sikeridis , Dennis Ramdass , Pranay Pareek
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