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This paper reviews concepts, modeling approaches, and recent findings along a spectrum of different levels of abstraction of neural network models including generalization across (1) Samples, (2) Distributions, (3) Domains, (4) Tasks, (5)…

Machine Learning · Computer Science 2024-08-02 Chris Rohlfs

Categories such as animal or furniture are acquired at an early age and play an important role in processing, organizing, and communicating world knowledge. Categories exist across cultures: they allow to efficiently represent the…

Computation and Language · Computer Science 2019-02-26 Lea Frermann , Mirella Lapata

In this article we focus on evolving information systems. First a delimitation of the concept of evolution is provided, resulting in a first attempt to a general theory for such evolutions. The theory makes a distinction between the…

Artificial Intelligence · Computer Science 2021-05-25 H. A. Proper , Th. P. van der Weide

We study the modeling and prediction of dynamical systems based on conventional models derived from measurements. Such algorithms are highly desirable in situations where the underlying dynamics are hard to model from physical principles or…

Data Analysis, Statistics and Probability · Physics 2016-08-03 Markus Quade , Markus Abel , Kamran Shafi , Robert K. Niven , Bernd R. Noack

We investigate the use of transformer sequence models as dynamics models (TDMs) for control. We find that TDMs exhibit strong generalization capabilities to unseen environments, both in a few-shot setting, where a generalist TDM is…

Modeling environmental ecosystems is essential for effective resource management, sustainable development, and understanding complex ecological processes. However, traditional data-driven methods face challenges in capturing inherently…

Machine Learning · Computer Science 2025-04-08 Runlong Yu , Shengyu Chen , Yiqun Xie , Huaxiu Yao , Jared Willard , Xiaowei Jia

We introduce the Generalized Energy Based Model (GEBM) for generative modelling. These models combine two trained components: a base distribution (generally an implicit model), which can learn the support of data with low intrinsic…

Machine Learning · Statistics 2021-12-22 Michael Arbel , Liang Zhou , Arthur Gretton

A dynamical model of an ecological community is analyzed within a "mean-field approximation" in which one of the species interacts with the combination of all of the other species in the community. Within this approximation the model may be…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Alan McKane , David Alonso , Ricard V. Sole

The diffusion probabilistic generative models are widely used to generate high-quality data. Though they can synthetic data that does not exist in the training set, the rationale behind such generalization is still unexplored. In this…

Machine Learning · Computer Science 2023-05-25 Mingyang Yi , Jiacheng Sun , Zhenguo Li

In learned image compression, probabilistic models play an essential role in characterizing the distribution of latent variables. The Gaussian model with mean and scale parameters has been widely used for its simplicity and effectiveness.…

Image and Video Processing · Electrical Eng. & Systems 2025-04-24 Haotian Zhang , Li Li , Dong Liu

We have generalized our ``unified'' model of evolutionary ecology by taking into account the possible movements of the organisms from one ``patch'' to another within the same eco-system. We model the spatial extension of the eco-system…

Populations and Evolution · Quantitative Biology 2009-11-10 Dietrich Stauffer , Ambarish Kunwar , Debashish Chowdhury

Recently there has been significant activity in developing algorithms with provable guarantees for topic modeling. In standard topic models, a topic (such as sports, business, or politics) is viewed as a probability distribution $\vec a_i$…

Machine Learning · Computer Science 2016-11-07 Avrim Blum , Nika Haghtalab

Fisheries scientists use regression models to estimate population quantities, such as biomass or abundance, for use in climate, habitat, stock, and ecosystem assessments. However, these models are sensitive to the chosen probability…

Methodology · Statistics 2025-01-13 Jillian C. Dunic , Jason Conner , Sean C. Anderson , James T. Thorson

Evolutionary systems must learn to generalize, often extrapolating from a limited set of selective conditions to anticipate future environmental changes. The mechanisms enabling such generalization remain poorly understood, despite their…

Populations and Evolution · Quantitative Biology 2025-10-29 Federica Ferretti , Mehran Kardar , Arvind Murugan

Unravelling current complex food systems is relevant for their adjustment and redesign under the current changing climate conditions. Redesign may be necessitated by migration of people and changes of locations of major agri-food…

Physics and Society · Physics 2026-04-15 Erik van der Linden , Marcel Meinders , Egbert H. van Nes , Hugo de Vries

1. Theoretical models pertaining to feedbacks between ecological and evolutionary processes are prevalent in multiple biological fields. An integrative overview is currently lacking, due to little crosstalk between the fields and the use of…

We incorporate the generic hierarchical architecture of foodwebs into a "{\it unified}" model that describes both "micro" and "macro" evolutions within a single theoretical framework. This model describes the "micro" -evolution in detail by…

Statistical Mechanics · Physics 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

A generalization of Gy's theory for the variance of the fundamental sampling error is reviewed. Practical situations where the generalized model potentially leads to more accurate variance estimates are identified as: clustering of…

Applications · Statistics 2009-11-10 Bastiaan Geelhoed

Diffusion models are a class of generative models that serve to establish a stochastic transport map between an empirically observed, yet unknown, target distribution and a known prior. Despite their remarkable success in real-world…

Machine Learning · Computer Science 2025-03-13 Puheng Li , Zhong Li , Huishuai Zhang , Jiang Bian

Disordered systems theory provides powerful tools to analyze the generic behaviors of highdimensional systems, such as species-rich ecological communities or neural networks. By assuming randomness in their interactions, universality…

Populations and Evolution · Quantitative Biology 2025-03-20 Juan Giral Martínez