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Optimal Markov Decision Process policies for problems with finite state and action space are identified through a partial ordering by comparing the value function across states. This is referred to as state-based optimality. This paper…

最优化与控制 · 数学 2021-12-02 Dylan Solms

We utilise a sampler originating from nonequilibrium statistical mechanics, termed here Jarzynski-adjusted Langevin algorithm (JALA), to build statistical estimation methods in latent variable models. We achieve this by leveraging…

统计计算 · 统计学 2025-10-27 James Cuin , Davide Carbone , O. Deniz Akyildiz

High-dimensional multivariate longitudinal data, which arise when many outcome variables are measured repeatedly over time, are becoming increasingly common in social, behavioral and health sciences. We propose a latent variable model for…

统计方法学 · 统计学 2025-12-09 Sze Ming Lee , Yunxiao Chen , Tony Sit

Markov chains are the de facto finite-state model for stochastic dynamical systems, and Markov decision processes (MDPs) extend Markov chains by incorporating non-deterministic behaviors. Given an MDP and rewards on states, a classical…

计算机科学中的逻辑 · 计算机科学 2024-11-13 Krishnendu Chatterjee , Laurent Doyen

The analysis of high-dimensional time series data has become increasingly important across a wide range of fields. Recently, a method for constructing the minimum information Markov kernel on finite state spaces was established. In this…

统计方法学 · 统计学 2026-01-13 Issey Sukeda , Tomonari Sei

Given a Markov decision process (MDP), we seek to learn representations for a range of policies to facilitate behavior steering at test time. As policies of an MDP are uniquely determined by their occupancy measures, we propose modeling…

机器学习 · 计算机科学 2026-02-02 Beiming Li , Sergio Rozada , Alejandro Ribeiro

We introduce a new method to accurately and efficiently estimate the effective dynamics of collective variables in molecular simulations. Such reduced dynamics play an essential role in the study of a broad class of processes, ranging from…

Preferences play a key role in determining what goals/constraints to satisfy when not all constraints can be satisfied simultaneously. In this work, we study preference-based planning in a stochastic system modeled as a Markov decision…

形式语言与自动机理论 · 计算机科学 2022-03-28 Abhishek Ninad Kulkarni , Jie Fu

The identifiability of latent variable models has received increasing attention due to its relevance in interpretability and out-of-distribution generalisation. In this work, we study the identifiability of Switching Dynamical Systems,…

机器学习 · 统计学 2024-06-05 Carles Balsells-Rodas , Yixin Wang , Yingzhen Li

In order to steer e-commerce users towards making a purchase, marketers rely upon predictions of when users exit without purchasing. Previously, such predictions were based upon hidden Markov models (HMMs) due to their ability of modeling…

机器学习 · 计算机科学 2022-08-09 Tobias Hatt , Stefan Feuerriegel

Understanding and predicting how complex systems respond to external perturbations is a central challenge in nonequilibrium statistical physics. Here we consider continuous-time Markov networks, which we subject to perturbations along a…

统计力学 · 物理学 2026-02-25 Robin Bebon , Thomas Speck

Motivated by wide-ranging applications such as video delivery over networks using Multiple Description Codes, congestion control, and inventory management, we study the state-tracking of a Markovian random process with a known transition…

信息论 · 计算机科学 2017-03-06 Parisa Mansourifard , Tara Javidi , Bhaskar Krishnamachari

We consider the synthesis of control policies for probabilistic systems, modeled by Markov decision processes, operating in partially known environments with temporal logic specifications. The environment is modeled by a set of Markov…

计算机科学中的逻辑 · 计算机科学 2012-03-07 Tichakorn Wongpiromsarn , Emilio Frazzoli

The identification of most relevant clinical criteria related to low back pain disorders may aid the evaluation of the nature of pain suffered in a way that usefully informs patient assessment and treatment. Data concerning low back pain…

统计方法学 · 统计学 2018-02-06 Michael Fop , Keith Smart , Thomas Brendan Murphy

In many autonomy applications, performance of perception algorithms is important for effective planning and control. In this paper, we introduce a framework for computing the probability of satisfaction of formal system specifications given…

系统与控制 · 电气工程与系统科学 2021-05-18 Apurva Badithela , Tichakorn Wongpiromsarn , Richard M. Murray

Experiments, in particular on biological systems, typically probe lower-dimensional observables which are projections of high-dimensional dynamics. In order to infer consistent models capturing the relevant dynamics of the system, it is…

统计力学 · 物理学 2025-11-18 Xizhu Zhao , Dmitrii E. Makarov , Aljaž Godec

In many interactive decision-making settings, there is latent and unobserved information that remains fixed. Consider, for example, a dialogue system, where complete information about a user, such as the user's preferences, is not given. In…

机器学习 · 计算机科学 2023-10-12 Jeongyeol Kwon , Yonathan Efroni , Shie Mannor , Constantine Caramanis

As datasets capturing human choices grow in richness and scale -- particularly in online domains -- there is an increasing need for choice models that escape traditional choice-theoretic axioms such as regularity, stochastic transitivity,…

机器学习 · 统计学 2021-05-17 Stephen Ragain , Johan Ugander

We describe a Markov latent state space (MLSS) model, where the latent state distribution is a decaying mixture over multiple past states. We present a simple sampling algorithm that allows to approximate such high-order MLSS with fixed…

机器学习 · 计算机科学 2017-11-09 Kristjan Kalm

Probabilistic models help us encode latent structures that both model the data and are ideally also useful for specific downstream tasks. Among these, mixture models and their time-series counterparts, hidden Markov models, identify…

机器学习 · 计算机科学 2021-10-29 Abhishek Sharma , Catherine Zeng , Sanjana Narayanan , Sonali Parbhoo , Finale Doshi-Velez