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A Multinomial Logit (MNL) model is composed of a finite universe of items $[n]=\{1,..., n\}$, each assigned a positive weight. A query specifies an admissible subset -- called a slate -- and the model chooses one item from that slate with…

Data Structures and Algorithms · Computer Science 2026-01-09 Flavio Chierichetti , Mirko Giacchini , Ravi Kumar , Silvio Lattanzi , Alessandro Panconesi , Erasmo Tani , Andrew Tomkins

Decision makers often opt for the deferral outside option when they find it difficult to make an active choice. Contrary to existing logit models with an outside option where the latter is assigned a fixed value exogenously, this paper…

Theoretical Economics · Economics 2026-03-17 Georgios Gerasimou

In this study, we systematically investigate the impact of class imbalance on classification performance of convolutional neural networks (CNNs) and compare frequently used methods to address the issue. Class imbalance is a common problem…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Mateusz Buda , Atsuto Maki , Maciej A. Mazurowski

Outliers in discrete choice response data may result from misclassification and misreporting of the response variable and from choice behaviour that is inconsistent with modelling assumptions (e.g. random utility maximisation). In the…

Econometrics · Economics 2022-12-06 Rico Krueger , Michel Bierlaire , Thomas Gasos , Prateek Bansal

We analyze multivariate ordered discrete response models with a lattice structure, modeling decision makers who narrowly bracket choices across multiple dimensions. These models map latent continuous processes into discrete responses using…

Econometrics · Economics 2025-11-06 Tatiana Komarova , William Matcham

Class-imbalance is one of the major challenges in real world datasets, where a few classes (called majority classes) constitute much more data samples than the rest (called minority classes). Learning deep neural networks using such…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Saptarshi Sinha , Hiroki Ohashi , Katsuyuki Nakamura

We study statistical properties of the k-nearest neighbors algorithm for multiclass classification, with a focus on settings where the number of classes may be large and/or classes may be highly imbalanced. In particular, we consider a…

Machine Learning · Statistics 2020-05-05 Justin Khim , Ziyu Xu , Shashank Singh

Class-imbalance refers to classification problems in which many more instances are available for certain classes than for others. Such imbalanced datasets require special attention because traditional classifiers generally favor the…

Machine Learning · Statistics 2018-11-30 Rafael M. O. Cruz , Robert Sabourin , George D. C. Cavalcanti

The decision making involved behind the mode choice is critical for transportation planning. While statistical learning techniques like discrete choice models have been used traditionally, machine learning (ML) models have gained traction…

Machine Learning · Computer Science 2024-01-26 Tanmay Ghosh , Nithin Nagaraj

The objective of the paper is to study accuracy of multi-class classification in high-dimensional setting, where the number of classes is also large ("large $L$, large $p$, small $n$" model). While this problem arises in many practical…

Statistics Theory · Mathematics 2019-07-18 Felix Abramovich , Marianna Pensky

The recent success of generative adversarial networks and variational learning suggests training a classifier network may work well in addressing the classical two-sample problem. Network-based tests have the computational advantage that…

Machine Learning · Statistics 2022-06-01 Xiuyuan Cheng , Alexander Cloninger

This paper studies assortment and pricing optimization problems under the Two-Stage Luce model (2SLM), a discrete choice model introduced by Echenique and Saito (2018) that generalizes the multinomial logit model (MNL). The model employs an…

Discrete Mathematics · Computer Science 2019-04-24 Alvaro Flores , Gerardo Berbeglia , Pascal Van Hentenryck

Overfitting in deep learning has been the focus of a number of recent works, yet its exact impact on the behavior of neural networks is not well understood. This study analyzes overfitting by examining how the distribution of logits alters…

Machine Learning · Computer Science 2019-10-02 Zeju Li , Konstantinos Kamnitsas , Ben Glocker

In a multi-task learning (MTL) setting, a single model is trained to tackle a diverse set of tasks jointly. Despite rapid progress in the field, MTL remains challenging due to optimization issues such as conflicting and dominating…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Dmitry Senushkin , Nikolay Patakin , Arseny Kuznetsov , Anton Konushin

The class-imbalance issue is intrinsic to many real-world machine learning tasks, particularly to the rare-event classification problems. Although the impact and treatment of imbalanced data is widely known, the magnitude of a metric's…

Machine Learning · Computer Science 2022-06-22 Azim Ahmadzadeh , Rafal A. Angryk

Multivariate categorical data are routinely collected in many application areas. As the number of cells in the table grows exponentially with the number of variables, many or even most cells will contain zero observations. This severe…

Methodology · Statistics 2020-04-06 Emanuele Aliverti , David B. Dunson

Over the last two decades, the Latent Position Model (LPM) has become a prominent tool to obtain model-based visualizations of networks. However, the geometric structure of the LPM is inherently symmetric, in the sense that outgoing and…

Methodology · Statistics 2026-02-02 Chaoyi Lu , Riccardo Rastelli

In imbalanced multi-class classification problems, the misclassification rate as an error measure may not be a relevant choice. Several methods have been developed where the performance measure retained richer information than the mere…

Machine Learning · Computer Science 2013-11-05 Sokol Koço , Cécile Capponi

We consider ordered logit models for directed network data that allow for flexible sender and receiver fixed effects that can vary arbitrarily across outcome categories. This structure poses a significant incidental parameter problem,…

Econometrics · Economics 2025-07-23 Chris Muris , Cavit Pakel , Qichen Zhang

The effectiveness of Multimodal Chain-of-Thought (MCoT) prompting is often limited by the use of randomly or manually selected examples. These examples fail to account for both model-specific knowledge distributions and the intrinsic…

Computation and Language · Computer Science 2025-10-14 Xinglong Yang , Quan Feng , Zhongying Pan , Xiang Chen , Yu Tian , Wentong Li , Shuofei Qiao , Yuxia Geng , Xingyu Zhao , Sheng-Jun Huang