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We describe a method for the identification of models for dynamical systems from observational data. The method is based on the concept of symbolic regression and uses genetic programming to evolve a system of ordinary differential…

机器学习 · 计算机科学 2021-07-14 Gabriel Kronberger , Lukas Kammerer , Michael Kommenda

Learning identifiable representations and models from low-level observations is helpful for an intelligent spacecraft to complete downstream tasks reliably. For temporal observations, to ensure that the data generating process is provably…

机器学习 · 计算机科学 2024-12-05 Congxi Zhang , Yongchun Xie

Characterizing the relationship between neural population activity and behavioral data is a central goal of neuroscience. While latent variable models (LVMs) are successful in describing high-dimensional time-series data, they are typically…

机器学习 · 计算机科学 2026-02-12 Rabia Gondur , Usama Bin Sikandar , Evan Schaffer , Mikio Christian Aoi , Stephen L Keeley

With the advent of artificial intelligence and machine learning, various domains of science and engineering communities have leveraged data-driven surrogates to model complex systems through fusing numerous sources of information (data)…

In this paper, we consider the intensity-based inversion method (IIM) for quantitative material parameter estimation in quasi-static elastography. In particular, we consider the problem of estimating the material parameters of a given…

数值分析 · 数学 2026-01-19 Ekaterina Sherina , Simon Hubmer

Semantic word embeddings represent the meaning of a word via a vector, and are created by diverse methods. Many use nonlinear operations on co-occurrence statistics, and have hand-tuned hyperparameters and reweighting methods. This paper…

机器学习 · 计算机科学 2019-06-21 Sanjeev Arora , Yuanzhi Li , Yingyu Liang , Tengyu Ma , Andrej Risteski

Mutual information (MI) is a general measure of statistical dependence with widespread application across the sciences. However, estimating MI between multi-dimensional variables is challenging because the number of samples necessary to…

定量方法 · 定量生物学 2025-03-06 Gokul Gowri , Xiao-Kang Lun , Allon M. Klein , Peng Yin

Two popular approaches for relating correlated measurements of a non-Gaussian response variable to a set of predictors are to fit a marginal model using generalized estimating equations and to fit a generalized linear mixed model by…

统计方法学 · 统计学 2017-02-23 Jeffrey J. Gory , Peter F. Craigmile , Steven N. MacEachern

Parameter identifiability refers to the capability of accurately inferring the parameter values of a model from its observations (data). Traditional analysis methods exploit analytical properties of the closed form model, in particular…

机器学习 · 计算机科学 2024-12-30 Nikolaos Evangelou , Alexander M. Stankovic , Ioannis G. Kevrekidis , Mark K. Transtrum

AI models have garnered significant research attention towards predictive task automation. However, a stationary training environment is an underlying assumption for most models and such models simply do not work on non-stationary data…

机器学习 · 计算机科学 2025-04-29 Hassan Wasswa , Aziida Nanyonga , Timothy Lynar

Latent diffusion models (LDMs) dominate high-quality image generation, yet integrating representation learning with generative modeling remains a challenge. We introduce a novel generative image modeling framework that seamlessly bridges…

计算机视觉与模式识别 · 计算机科学 2026-01-23 Theodoros Kouzelis , Efstathios Karypidis , Ioannis Kakogeorgiou , Spyros Gidaris , Nikos Komodakis

Structural discovery amongst a set of variables is of interest in both static and dynamic settings. In the presence of lead-lag dependencies in the data, the dynamics of the system can be represented through a structural equation model…

统计方法学 · 统计学 2023-11-28 Jiahe Lin , Huitian Lei , George Michailidis

Gaussian graphical models (GGM) have been widely used in many high-dimensional applications ranging from biological and financial data to recommender systems. Sparsity in GGM plays a central role both statistically and computationally.…

机器学习 · 统计学 2014-06-12 Zhaoshi Meng , Brian Eriksson , Alfred O. Hero

While hidden class models of various types arise in many statistical applications, it is often difficult to establish the identifiability of their parameters. Focusing on models in which there is some structure of independence of some of…

统计理论 · 数学 2009-09-01 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

Video action segmentation have been widely applied in many fields. Most previous studies employed video-based vision models for this purpose. However, they often rely on a large receptive field, LSTM or Transformer methods to capture…

计算机视觉与模式识别 · 计算机科学 2024-02-07 Junbin Zhang , Pei-Hsuan Tsai , Meng-Hsun Tsai

We address the problem of merging graph and feature-space information while learning a metric from structured data. Existing algorithms tackle the problem in an asymmetric way, by either extracting vectorized summaries of the graph…

机器学习 · 计算机科学 2020-02-17 Nicolo Colombo

Geological parameterization procedures entail the mapping of a high-dimensional geomodel to a low-dimensional latent variable. These parameterizations can be very useful for history matching because the number of variables to be calibrated…

地球物理 · 物理学 2026-01-19 Guido Di Federico , Louis J. Durlofsky

Motivated by the limitations of current spectral analysis methods-such as reliance on single-modality data, limited generalizability, and poor interpretability-we propose a novel multi-modal spectral analysis framework that integrates prior…

机器学习 · 计算机科学 2025-09-03 Jiheng Liang , Ziru Yu , Zujie Xie , Yuchen Guo , Yulan Guo , Xiangyang Yu

Sequential modelling of high-dimensional data is an important problem that appears in many domains including model-based reinforcement learning and dynamics identification for control. Latent variable models applied to sequential data…

机器学习 · 计算机科学 2023-01-23 Oliver Limoyo , Trevor Ablett , Jonathan Kelly

Evaluating large language models (LLMs) has become increasingly challenging as model capabilities advance rapidly. While recent models often achieve higher scores on standard benchmarks, these improvements do not consistently reflect…

计算与语言 · 计算机科学 2025-08-21 Haiquan Hu , Jiazhi Jiang , Shiyou Xu , Ruhan Zeng , Tian Wang