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Structured state-space models (SSMs) such as S4, stemming from the seminal work of Gu et al., are gaining popularity as effective approaches for modeling sequential data. Deep SSMs demonstrate outstanding performance across a diverse set of…

Machine Learning · Computer Science 2025-01-07 Nicola Muca Cirone , Antonio Orvieto , Benjamin Walker , Cristopher Salvi , Terry Lyons

Bayesian inference for complex models with an intractable likelihood can be tackled using algorithms performing many calls to computer simulators. These approaches are collectively known as "simulation-based inference" (SBI). Recent SBI…

We prove tail triviality of determinantal point processes $ \mu $ on continuous spaces. Tail triviality had been proved for such processes only on discrete spaces, and hence we have generalized the result to continuous spaces. To do this,…

Probability · Mathematics 2018-02-06 Hirofumi Osada , Shota Osada

Decision trees are commonly used predictive models due to their flexibility and interpretability. This paper is directed at quantifying the uncertainty of decision tree predictions by employing a Bayesian inference approach. This is…

Machine Learning · Computer Science 2024-03-28 Jodie A. Cochrane , Adrian Wills , Sarah J. Johnson

We propose to use a simulation driven inverse inference approach to model the dynamics of tree branches under manipulation. Learning branch dynamics and gaining the ability to manipulate deformable vegetation can help with occlusion-prone…

Robotics · Computer Science 2023-12-21 Jayadeep Jacob , Tirthankar Bandyopadhyay , Jason Williams , Paulo Borges , Fabio Ramos

Considering the increasing size of available data, the need for statistical methods that control the finite sample bias is growing. This is mainly due to the frequent settings where the number of variables is large and allowed to increase…

Statistics Theory · Mathematics 2018-10-12 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser

Despite the success of deep learning for text and image data, tree-based ensemble models are still state-of-the-art for machine learning with heterogeneous tabular data. However, there is a significant need for tabular-specific…

Machine Learning · Computer Science 2024-03-13 Sascha Marton , Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt

We present a technique using data depth functions and resampling to perform best subset variable selection for a wide range of statistical models. We do this by assigning a score, called an $e$-value, to a candidate model, and use a fast…

Methodology · Statistics 2017-11-29 Subhabrata Majumdar , Snigdhansu Chatterjee

We introduce a flexible and scalable class of Bayesian geostatistical models for discrete data, based on the class of nearest neighbor mixture transition distribution processes (NNMP), referred to as discrete NNMP. The proposed class…

Methodology · Statistics 2022-03-04 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

In the last decade, decision diagrams (DDs) have been the basis for a large array of novel approaches for modeling and solving optimization problems. Many techniques now use DDs as a key tool to achieve state-of-the-art performance within…

Optimization and Control · Mathematics 2022-01-28 Margarita P. Castro , Andre A. Cire , J. Christopher Beck

We model the joint distribution of choice probabilities and decision times in binary choice tasks as the solution to a problem of optimal sequential sampling, where the agent is uncertain of the utility of each action and pays a constant…

Neurons and Cognition · Quantitative Biology 2015-05-14 Drew Fudenberg , Philipp Strack , Tomasz Strzalecki

In this paper, we consider several efficient data structures for the problem of sampling from a dynamically changing discrete probability distribution, where some prior information is known on the distribution of the rates, in particular…

Computational Engineering, Finance, and Science · Computer Science 2021-10-13 Federico D'Ambrosio , Hans L. Bodlaender , Gerard T. Barkema

Data selection is essential for training deep learning models. An effective data sampler assigns proper sampling probability for training data and helps the model converge to a good local minimum with high performance. Previous studies in…

Machine Learning · Computer Science 2024-10-10 Jiawei Yao , Chuming Li , Canran Xiao

We investigate statistical properties of a likelihood approach to nonparametric estimation of a singular distribution using deep generative models. More specifically, a deep generative model is used to model high-dimensional data that are…

Machine Learning · Statistics 2023-03-29 Minwoo Chae , Dongha Kim , Yongdai Kim , Lizhen Lin

Variable selection remains a difficult problem, especially for generalized linear mixed models (GLMMs). While some frequentist approaches to simultaneously select joint fixed and random effects exist, primarily through the use of…

Methodology · Statistics 2024-12-03 Feng Ding , Ian Laga

The decision tree is one of the most fundamental programming abstractions. A commonly used type of decision tree is the alphabetic binary tree, which uses (without loss of generality) ``less than'' versus ''greater than or equal to'' tests…

Performance · Computer Science 2007-07-13 Michael B. Baer

We present a simple and general framework to simulate statistically correct realizations of a system of non-Markovian discrete stochastic processes. We give the exact analytical solution and a practical an efficient algorithm alike the…

Disordered Systems and Neural Networks · Physics 2014-10-21 Marian Boguna , Luis F. Lafuerza , Raul Toral , M. Angeles Serrano

Sample selection improves the efficiency and effectiveness of machine learning models by providing informative and representative samples. Typically, samples can be modeled as a sample graph, where nodes are samples and edges represent…

Machine Learning · Computer Science 2025-03-04 Tianchi Xie , Jiangning Zhu , Guozu Ma , Minzhi Lin , Wei Chen , Weikai Yang , Shixia Liu

Markov decisions processes (MDPs) are becoming increasing popular as models of decision theoretic planning. While traditional dynamic programming methods perform well for problems with small state spaces, structured methods are needed for…

Artificial Intelligence · Computer Science 2013-01-30 Jesse Hoey , Robert St-Aubin , Alan Hu , Craig Boutilier

This is a method for discrete event simulation specified by survival analysis. It presents a sequence of steps. First, hazard rates from survival analysis specify the rates of a set of counting processes. Second, those counting processes…

Computation · Statistics 2016-10-14 Andrew J. Dolgert