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In this paper, we develop a dynamic framework for the modeling and analysis of social networks to work with web documents. We illustrate the model with features of web, design a form to analyze relationships of attributes as a modality of…

Probability · Mathematics 2012-07-18 Mahyuddin K. M. Nasution , Shahrul Azman Noah

Generative models can be trained to emulate complex empirical data, but are they useful to make predictions in the context of previously unobserved environments? An intuitive idea to promote such extrapolation capabilities is to have the…

Machine Learning · Computer Science 2022-01-03 Michel Besserve , Rémy Sun , Dominik Janzing , Bernhard Schölkopf

Accurate predictions and representations of plant growth patterns in simulated and controlled environments are important for addressing various challenges in plant phenomics research. This review explores various works on state-of-the-art…

Quantitative Methods · Quantitative Biology 2025-07-17 Mohamed Debbagh , Shangpeng Sun , Mark Lefsrud

A common practice to account for psychophysical biases in vision is to frame them as consequences of a dynamic process relying on optimal inference with respect to a generative model. The present study details the complete formulation of…

Neurons and Cognition · Quantitative Biology 2018-08-24 Jonathan Vacher , Andrew Isaac Meso , Laurent U. Perrinet , Gabriel Peyré

Exponential random graph models (ERGMs) are a widely used framework for network data, enabling hypothesis testing on the structural mechanisms underlying observed networks. Bayesian ERGMs provide principled uncertainty quantification and…

Methodology · Statistics 2026-05-26 Alberto Caimo , Isabella Gollini

Beyond their origin in modeling many-body quantum systems, tensor networks have emerged as a promising class of models for solving machine learning problems, notably in unsupervised generative learning. While possessing many desirable…

Machine Learning · Computer Science 2024-07-26 Alex Meiburg , Jing Chen , Jacob Miller , Raphaëlle Tihon , Guillaume Rabusseau , Alejandro Perdomo-Ortiz

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

Deep generative models are a class of techniques that train deep neural networks to model the distribution of training samples. Research has fragmented into various interconnected approaches, each of which make trade-offs including…

Machine Learning · Computer Science 2022-03-29 Sam Bond-Taylor , Adam Leach , Yang Long , Chris G. Willcocks

We capitalize on large amounts of unlabeled video in order to learn a model of scene dynamics for both video recognition tasks (e.g. action classification) and video generation tasks (e.g. future prediction). We propose a generative…

Computer Vision and Pattern Recognition · Computer Science 2016-10-27 Carl Vondrick , Hamed Pirsiavash , Antonio Torralba

Biological networks are a very convenient modelling and visualisation tool to discover knowledge from modern high-throughput genomics and postgenomics data sets. Indeed, biological entities are not isolated, but are components of complex…

Quantitative Methods · Quantitative Biology 2018-05-07 Alex White , Matthieu Vignes

A salient approach to interpretable machine learning is to restrict modeling to simple models. In the Bayesian framework, this can be pursued by restricting the model structure and prior to favor interpretable models. Fundamentally,…

Machine Learning · Computer Science 2020-09-08 Homayun Afrabandpey , Tomi Peltola , Juho Piironen , Aki Vehtari , Samuel Kaski

Generative AI has achieved remarkable empirical success, but from the perspective of statistics it often remains opaque: its predictions may be accurate, yet the underlying mechanism is difficult to interpret, analyze, and trust. This book…

Machine Learning · Statistics 2026-03-11 Shinto Eguchi

Generative diffusion models showed high success in many fields with a powerful theoretical background. They convert the data distribution to noise and remove the noise back to obtain a similar distribution. Many existing reviews focused on…

Machine Learning · Computer Science 2024-09-19 Melike Nur Yeğin , Mehmet Fatih Amasyalı

Probability density estimation is a classical and well studied problem, but standard density estimation methods have historically lacked the power to model complex and high-dimensional image distributions. More recent generative models…

Machine Learning · Computer Science 2019-02-27 Ryen Krusinga , Sohil Shah , Matthias Zwicker , Tom Goldstein , David Jacobs

Sampling conditional distributions is a fundamental task for Bayesian inference and density estimation. Generative models, such as normalizing flows and generative adversarial networks, characterize conditional distributions by learning a…

We present a categorical formulation of the cognitive frameworks of Predictive Processing and Active Inference, expressed in terms of string diagrams interpreted in a monoidal category with copying and discarding. This includes diagrammatic…

Category Theory · Mathematics 2023-08-03 Sean Tull , Johannes Kleiner , Toby St Clere Smithe

We propose a symbolic generative task description language and a corresponding inference engine capable of representing arbitrary multimodal tasks as structured symbolic flows. Unlike conventional generative models that rely on large-scale…

We introduce a new approach to functional causal modeling from observational data, called Causal Generative Neural Networks (CGNN). CGNN leverages the power of neural networks to learn a generative model of the joint distribution of the…

Advances in generative models have led to significant interest in image synthesis, demonstrating the ability to generate high-quality images for a diverse range of text prompts. Despite this progress, most studies ignore the presence of…

Artificial Intelligence · Computer Science 2024-07-02 Nila Masrourisaadat , Nazanin Sedaghatkish , Fatemeh Sarshartehrani , Edward A. Fox

We argue for a foundational epistemic claim and a hypothesis about the production and uses of mathematical epidemiological models, exploring the consequences for our political and socio-economic lives. First, in order to make the best use…

Computers and Society · Computer Science 2021-04-02 Matthias Kaiser , Tatjana Buklijas , Peter Gluckman