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Nonparametric identification and maximum likelihood estimation for finite-state hidden Markov models are investigated. We obtain identification of the parameters as well as the order of the Markov chain if the transition probability…

统计理论 · 数学 2015-10-01 Grigory Alexandrovich , Hajo Holzmann , Anna Leister

This paper describes a data reduction technique in case of a markov chain of specified order. Instead of observing all the transitions in a markov chain we record only a few of them and treat the remaining part as missing. The decision…

统计方法学 · 统计学 2018-07-17 Atanu Kumar Ghosh , Arnab Chakraborty

This paper considers large families of Markov chains (MCs) that are defined over a set of parameters with finite discrete domains. Such families occur in software product lines, planning under partial observability, and sketching of…

计算机科学中的逻辑 · 计算机科学 2019-03-27 Milan Ceska , Nils Jansen , Sebastian Junges , Joost-Pieter Katoen

Heterogeneity of many building materials complicates numerical modelling of structural behaviour. The material randomicity can be manifested by different values of material parameters of each material specimen. To capture inherent…

计算工程、金融与科学 · 计算机科学 2026-02-17 Eliška Kočková , Anna Kučerová

In networking applications, one often wishes to obtain estimates about the number of objects at different parts of the network (e.g., the number of cars at an intersection of a road network or the number of packets expected to reach a node…

社会与信息网络 · 计算机科学 2020-06-22 Harshal A. Chaudhari , Michael Mathioudakis , Evimaria Terzi

With ever-increasing amounts of online information available, modeling and predicting individual preferences-for books or articles, for example-is becoming more and more important. Good predictions enable us to improve advice to users, and…

社会与信息网络 · 计算机科学 2017-02-06 Antonia Godoy-Lorite , Roger Guimera , Cristopher Moore , Marta Sales-Pardo

We consider the problem of static assortment optimization, where the goal is to find the assortment of size at most $C$ that maximizes revenues. This is a fundamental decision problem in the area of Operations Management. It has been shown…

统计方法学 · 统计学 2011-08-19 Vivek Farias , Srikanth Jagabathula , Devavrat Shah

In this paper, we study optimization problems where the cost function contains time-varying parameters that are unmeasurable and evolve according to linear, yet unknown, dynamics. We propose a solution that leverages control theoretic tools…

最优化与控制 · 数学 2025-03-20 Shivanshu Tripathi , Abed AlRahman Al Makdah , Fabio Pasqualetti

Estimating consumer preferences is central to many problems in economics and marketing. This paper develops a flexible framework for learning individual preferences from partial ranking information by interpreting observed rankings as…

机器学习 · 统计学 2026-02-19 Yu-Chang Chen , Chen Chian Fuh , Shang En Tsai

Learning an ordering of items based on pairwise comparisons is useful when items are difficult to rate consistently on an absolute scale, for example, when annotators have to make subjective assessments. When exhaustive comparison is…

机器学习 · 计算机科学 2024-10-29 Herman Bergström , Emil Carlsson , Devdatt Dubhashi , Fredrik D. Johansson

This paper studies nonparametric identification in market level demand models for differentiated products with heterogeneous consumers. We consider a general class of models that allows for the individual specific coefficients to vary…

计量经济学 · 经济学 2022-01-19 Fabian Dunker , Stefan Hoderlein , Hiroaki Kaido

Fashion discounters face the problem of ordering the right amount of pieces in each size of a product. The product is ordered in pre-packs containing a certain size-mix of a product. For this so-called lot-type design problem, a stochastic…

最优化与控制 · 数学 2016-03-26 Miriam Kießling , Tobias Kreisel , Sascha Kurz , Jörg Rambau

We examine identification of differentiated products demand when one has "micro data" linking individual consumers' characteristics and choices. Our model nests standard specifications featuring rich observed and unobserved consumer…

计量经济学 · 经济学 2022-05-03 Steven T. Berry , Philip A. Haile

We introduce a hierarchical Bayesian approach to tackle the challenging problem of size recommendation in e-commerce fashion. Our approach jointly models a size purchased by a customer, and its possible return event: 1. no return, 2.…

机器学习 · 计算机科学 2019-08-05 Romain Guigourès , Yuen King Ho , Evgenii Koriagin , Abdul-Saboor Sheikh , Urs Bergmann , Reza Shirvany

Identifying structural parameters in linear simultaneous-equation models is a longstanding challenge. Recent work exploits information in higher-order moments of non-Gaussian data. In this literature, the structural errors are typically…

计量经济学 · 经济学 2025-09-11 Ziyu Jiang

We introduce a new framework for characterizing identified sets of structural and counterfactual parameters in econometric models. By reformulating the identification problem as a set membership question, we leverage the separating…

计量经济学 · 经济学 2024-12-31 Irene Botosaru , Isaac Loh , Chris Muris

We consider approximating solutions to parameterized linear systems of the form $A(\mu_1,\mu_2) x(\mu_1,\mu_2) = b$. Here the matrix $A(\mu_1,\mu_2) \in \mathbb{R}^{n \times n}$ is nonsingular, large, and sparse and depends nonlinearly on…

数值分析 · 数学 2025-02-27 Siobhán Correnty , Melina A. Freitag , Kirk M. Soodhalter

A labelled Markov decision process is a labelled Markov chain with nondeterminism, i.e., together with a strategy a labelled MDP induces a labelled Markov chain. The model is related to interval Markov chains. Motivated by applications of…

形式语言与自动机理论 · 计算机科学 2020-09-25 Stefan Kiefer , Qiyi Tang

Markov parameters play a key role in system identification. There exists many algorithms where these parameters are estimated using least-squares in a first, pre-processing, step, including subspace identification and multi-step…

系统与控制 · 电气工程与系统科学 2024-05-08 Jiabao He , Cristian R. Rojas , Håkan Hjalmarsson

We address the problem of providing inference from a Bayesian perspective for parameters selected after viewing the data. We present a Bayesian framework for providing inference for selected parameters, based on the observation that…

统计计算 · 统计学 2015-03-13 Daniel Yekutieli