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This study explores B-stationarity of mathematical programs with complementarity constraints (MPCCs) and convergence behavior of MPCC algorithms. Special attention is given to the cases with biactive complementarity constraints. First, we…

最优化与控制 · 数学 2026-04-16 Kexin Wang , Lorenz T. Biegler

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…

机器学习 · 计算机科学 2022-01-03 Jiaqi Ma , Xingjian Zhang , Qiaozhu Mei

Many estimators of dynamic discrete choice models with persistent unobserved heterogeneity have desirable statistical properties but are computationally intensive. In this paper we propose a method to quicken estimation for a broad class of…

计量经济学 · 经济学 2025-04-09 Jackson Bunting , Takuya Ura

Quantifying differences between probability distributions is fundamental to statistics and machine learning, primarily for comparing statistical uncertainty. In contrast, epistemic uncertainty -- due to incomplete knowledge -- requires…

机器学习 · 统计学 2026-05-13 Siu Lun Chau , Michele Caprio , Krikamol Muandet

The advent of predictive methodologies has catalyzed the emergence of data-driven decision support across various domains. However, developing models capable of effectively handling input time series data presents an enduring challenge.…

机器学习 · 计算机科学 2023-11-17 Yijun Li , Mengzhuo Guo , Miłosz Kadziński , Qingpeng Zhang

Multinomial processing tree (MPT) models are tools for disentangling the contributions of latent cognitive processes in a given experimental paradigm. The present note analyzes MPT models subject to order constraints on subsets of its…

应用统计 · 统计学 2014-11-11 Karl Christoph Klauer , Henrik Singmann , David Kellen

Mutual Information (MI) is often used for feature selection when developing classifier models. Estimating the MI for a subset of features is often intractable. We demonstrate, that under the assumptions of conditional independence, MI…

机器学习 · 计算机科学 2017-06-26 Hemanth Venkateswara , Prasanth Lade , Binbin Lin , Jieping Ye , Sethuraman Panchanathan

Much of the field of Machine Learning exhibits a prominent set of failure modes, including vulnerability to adversarial examples, poor out-of-distribution (OoD) detection, miscalibration, and willingness to memorize random labelings of…

机器学习 · 计算机科学 2023-07-19 Ian Fischer

During the last decades, many methods for the analysis of functional data including classification methods have been developed. Nonetheless, there are issues that have not been adressed satisfactorily by currently available methods, as, for…

统计方法学 · 统计学 2017-02-08 Karen Fuchs , Wolfgang Pößnecker , Gerhard Tutz

We propose a network architecture capable of reliably estimating uncertainty of regression based predictions without sacrificing accuracy. The current state-of-the-art uncertainty algorithms either fall short of achieving prediction…

机器学习 · 计算机科学 2022-02-22 Kinjal Patel , Steven Waslander

The analysis of large scale medical claims data has the potential to improve quality of care by generating insights which can be used to create tailored medical programs. In particular, the multivariate probit model can be used to…

Mixed Probit models are widely applied in many fields where prediction of a binary response is of interest. Typically, the random effects are assumed to be independent but this is seldom the case for many real applications. In the credit…

应用统计 · 统计学 2019-11-18 Elisa Tosetti , Veronica Vinciotti

We consider assortment optimization over a continuous spectrum of products represented by the unit interval, where the seller's problem consists of determining the optimal subset of products to offer to potential customers. To describe the…

机器学习 · 统计学 2021-04-15 Yannik Peeters , Arnoud V. den Boer , Michel Mandjes

Multi-modal learning focuses on training models by equally combining multiple input data modalities during the prediction process. However, this equal combination can be detrimental to the prediction accuracy because different modalities…

计算机视觉与模式识别 · 计算机科学 2022-07-25 Hu Wang , Jianpeng Zhang , Yuanhong Chen , Congbo Ma , Jodie Avery , Louise Hull , Gustavo Carneiro

Using a Bayesian network to analyze the causal relationship between nodes is a hot spot. The existing network learning algorithms are mainly constraint-based and score-based network generation methods. The constraint-based method is mainly…

机器学习 · 计算机科学 2022-12-07 Baokui Mou

We tackle the problem of constructive preference elicitation, that is the problem of learning user preferences over very large decision problems, involving a combinatorial space of possible outcomes. In this setting, the suggested…

机器学习 · 统计学 2018-05-08 Paolo Dragone , Stefano Teso , Mohit Kumar , Andrea Passerini

Consider a problem of predicting a response variable using a set of covariates in a linear regression model. If it is \emph{a priori} known or suspected that a subset of the covariates do not significantly contribute to the overall fit of…

应用统计 · 统计学 2011-09-13 SM Enayetur Raheem , S. Ejaz Ahmed

This paper establishes a general equivalence between discrete choice and rational inattention models. Matejka and McKay (2015, AER) showed that when information costs are modelled using the Shannon entropy function, the resulting choice…

计量经济学 · 经济学 2017-09-27 Mogens Fosgerau , Emerson Melo , Andre de Palma , Matthew Shum

Most protocols for the high-throughput directed evolution of enzymes rely on random encapsulation to link phenotype and genotype. In order to optimize these approaches, or compare one to another, one needs a measure of their performance at…

种群与进化 · 定量生物学 2018-11-14 Adèle Dramé-Maigné , Anton Zadorin , Iaroslava Golovkova , Yannick Rondelez

Recently, efficient fine-tuning of large-scale pre-trained models has attracted increasing research interests, where linear probing (LP) as a fundamental module is involved in exploiting the final representations for task-dependent…

计算机视觉与模式识别 · 计算机科学 2023-10-03 Mingze Gao , Qilong Wang , Zhenyi Lin , Pengfei Zhu , Qinghua Hu , Jingbo Zhou