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We introduce a new method for building classification models when we have prior knowledge of how the classes can be arranged in a hierarchy, based on how easily they can be distinguished. The new method uses a Bayesian form of the…

Statistics Theory · Mathematics 2007-06-13 Babak Shahbaba , Radford M. Neal

Multinomial Logit (MNL) is one of the most popular discrete choice models and has been widely used to model ranking data. However, there is a long-standing technical challenge of learning MNL from many real-world ranking data: exact…

Machine Learning · Computer Science 2022-01-03 Jiaqi Ma , Xingjian Zhang , Qiaozhu Mei

Assortment optimization has received active explorations in the past few decades due to its practical importance. Despite the extensive literature dealing with optimization algorithms and latent score estimation, uncertainty quantification…

Machine Learning · Statistics 2023-05-05 Shuting Shen , Xi Chen , Ethan X. Fang , Junwei Lu

We consider the discrete Hammersley-Aldous-Diaconis process (HAD) and the totally asymmetric simple exclusion process (TASEP) in Z. The basic coupling induces a multiclass process which is useful in discussing shock measures and other…

Mathematical Physics · Physics 2007-05-23 Pablo A. Ferrari , James B. Martin

Travel providers such as airlines and on-line travel agents are becoming more and more interested in understanding how passengers choose among alternative itineraries when searching for flights. This knowledge helps them better display and…

Machine Learning · Statistics 2018-03-19 Alejandro Mottini , Rodrigo Acuna-Agost

In this paper, we study queueing systems with delayed information that use a generalization of the multinomial logit choice model as its arrival process. Previous literature assumes that the functional form of the multinomial logit model is…

Dynamical Systems · Mathematics 2022-11-23 Philip Doldo , Jamol Pender

In last few years there are major changes and evolution has been done on classification of data. As the application area of technology is increases the size of data also increases. Classification of data becomes difficult because of…

Machine Learning · Computer Science 2013-05-09 Rushi Longadge , Snehalata Dongre

Discrete-choice models, such as Multinomial Logit, Probit, or Mixed-Logit, are widely used in Marketing, Economics, and Operations Research: given a set of alternatives, the customer is modeled as choosing one of the alternatives to…

Machine Learning · Computer Science 2023-10-16 Hanzhao Wang , Xiaocheng Li , Kalyan Talluri

This study presents a semi-nonparametric Latent Class Choice Model (LCCM) with a flexible class membership component. The proposed model formulates the latent classes using mixture models as an alternative approach to the traditional random…

Network traffic data is huge, varying and imbalanced because various classes are not equally distributed. Machine learning (ML) algorithms for traffic analysis uses the samples from this data to recommend the actions to be taken by the…

Networking and Internet Architecture · Computer Science 2013-11-13 Raman Singh , Harish Kumar , R. K. Singla

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

The problem of class imbalance is extensive for focusing on numerous applications in the real world. In such a situation, nearly all of the examples are labeled as one class called majority class, while far fewer examples are labeled as the…

The Logit lane assignment model has been introduced recently in order to describe multi-lane traffic flow from a macroscopic point of view. The model is based on the idea that each available lane has a specific utility for each driver, who…

Methods to correct class imbalance, i.e. imbalance between the frequency of outcome events and non-events, are receiving increasing interest for developing prediction models. We examined the effect of imbalance correction on the performance…

Methodology · Statistics 2022-02-21 Ruben van den Goorbergh , Maarten van Smeden , Dirk Timmerman , Ben Van Calster

Motivated by generating personalized recommendations using ordinal (or preference) data, we study the question of learning a mixture of MultiNomial Logit (MNL) model, a parameterized class of distributions over permutations, from partial…

Machine Learning · Statistics 2014-11-04 Sewoong Oh , Devavrat Shah

We study class-imbalanced linear classification in a high-dimensional Gaussian mixture model. We develop a tight, closed form approximation for the test error of several practical learning methods, including logit adjustment and class…

Machine Learning · Computer Science 2025-03-10 Eliav Mor , Yair Carmon

When streets are designed according to the shared space principle, road user are encouraged to interact spontaneously with each other for negotiating the space. These interaction mechanisms do not follow clearly defined traffic rules but…

Applications · Statistics 2017-09-28 F. Pascucci , N. Rinke , C. Schiermeyer , V. Berkhahn , B. Friedrich

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

We provide a framework for modeling social network formation through conditional multinomial logit models from discrete choice and random utility theory, in which each new edge is viewed as a "choice" made by a node to connect to another…

Social and Information Networks · Computer Science 2020-05-22 Jan Overgoor , Austin R. Benson , Johan Ugander

We introduce a new class of multivariate elliptically symmetric distributions including elliptically symmetric logistic distributions and Kotz type distributions. We investigate the various probabilistic properties including marginal…

Statistics Theory · Mathematics 2020-08-04 Yeshunying Wang , Chuancun Yin