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For general thinning procedures, its inverse operation, the condensing, is studied and a link to integration-by-parts formulas is established. This extends the recent results on that link for independent thinnings of point processes to…

Probability · Mathematics 2017-04-26 Mathias Rafler

A general scheme is proposed and tested to control the symmetry breaking instability of a homogeneous solution of a spatially extended multispecies model, defined on a network. The inherent discreteness of the space makes it possible to act…

A general scheme is presented to decompose a $d$-by-$d$ unitary matrix as the product of two-level unitary matrices with additional structure and prescribed determinants. In particular, the decomposition can be done by using two-level…

Quantum Physics · Physics 2013-03-11 Chi-Kwong Li , Rebecca Roberts , Xiaoyan Yin

Model merging efficiently aggregates capabilities from multiple fine-tuned models into a single one, operating purely in parameter space without original data or expensive re-computation. Despite empirical successes, a unified theory for…

Machine Learning · Computer Science 2026-03-20 Qinglun Li , Anke Tang , Miao Zhang , Mengzhu Wang , Quanjun Yin , Li Shen

General regression and classification models are constructed as linear combinations of simple rules derived from the data. Each rule consists of a conjunction of a small number of simple statements concerning the values of individual input…

Applications · Statistics 2008-11-12 Jerome H. Friedman , Bogdan E. Popescu

The combination and aggregation of knowledge from multiple neural networks can be commonly seen in the form of mixtures of experts. However, such combinations are usually done using networks trained on the same tasks, with little mention of…

Machine Learning · Computer Science 2021-03-26 Chen Wen Kang , Chua Meng Hong , Tomas Maul

The graded affine Lie algebras provide a framework in which the dressing method is applied to the generic type of integrable models. The dressing formalism is used to develop a unified approach to various symmetry flows encountered among…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 H. Aratyn , J. F. Gomes , E. Nissimov , S. Pacheva , A. H. Zimerman

We consider a convex unconstrained optimization problem that arises in a network of agents whose goal is to cooperatively optimize the sum of the individual agent objective functions through local computations and communications. For this…

Optimization and Control · Mathematics 2008-03-11 Angelia Nedić , Alex Olshevsky , Asuman Ozdaglar , John N. Tsitsiklis

Multi-agent models are a suitable starting point to model complex social interactions. However, as the complexity of the systems increase, we argue that novel modeling approaches are needed that can deal with inter-dependencies at different…

Artificial Intelligence · Computer Science 2018-09-25 Frank Dignum

Generalized planning is concerned with the computation of plans that solve not one but multiple instances of a planning domain. Recently, it has been shown that generalized plans can be expressed as mappings of feature values into actions,…

Artificial Intelligence · Computer Science 2018-11-20 Blai Bonet , Guillem Francès , Hector Geffner

We extend the notion of anti-unification to cover equational theories and present a method based on regular tree grammars to compute a finite representation of E-generalization sets. We present a framework to combine Inductive Logic…

Logic in Computer Science · Computer Science 2017-09-05 Jochen Burghardt

We investigate the presence of localized solutions in models described by a single real scalar field with generalized dynamics. The study offers a method to solve very intricate nonlinear ordinary differential equations, and we illustrate…

High Energy Physics - Theory · Physics 2014-03-17 D. Bazeia , L. Losano , R. Menezes

We discuss in a statistical physics framework the idea that ``the whole is less than the parts'', as sometimes advocated by sociologists in view of the intrinsic complexity of humans, and try to reconcile this idea with the statistical…

Physics and Society · Physics 2019-10-23 Eric Bertin , Pablo Jensen

We describe a class of supersymmetric unified models with the following properties: i) the full breaking of the gauge group is achieved by Higgs fields in the fundamental representation; ii) the correct unification of the strong and…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. Barbieri , G. Dvali , A. Strumia

Linear structural equation models, which relate random variables via linear interdependencies and Gaussian noise, are a popular tool for modeling multivariate joint distributions. These models correspond to mixed graphs that include both…

Computation · Statistics 2015-04-14 Mathias Drton , Luca Weihs

Inferring objects and their relationships from an image in the form of a scene graph is useful in many applications at the intersection of vision and language. We consider a challenging problem of compositional generalization that emerges…

Computer Vision and Pattern Recognition · Computer Science 2021-10-04 Boris Knyazev , Harm de Vries , Cătălina Cangea , Graham W. Taylor , Aaron Courville , Eugene Belilovsky

Active automata learning infers automaton models of systems from behavioral observations, a technique successfully applied to a wide range of domains. Compositional approaches have recently emerged to address scalability to concurrent…

Machine Learning · Computer Science 2026-04-02 Leo Henry , Thomas Neele , Mohammad Reza Mousavi , Matteo Sammartino

Algebraic geometry, although little explored in signal processing, provides tools that are very convenient for investigating generic properties in a wide range of applications. Generic properties are properties that hold "almost…

Algebraic Geometry · Mathematics 2016-07-20 Ignat Domanov , Lieven DeLathauwer

Artificial intelligence (AI) has emerged as a powerful tool for addressing complex and dynamic tasks in radio communication systems. Research in this area, however, focused on AI solutions for specific, limited conditions, hindering models…

Machine Learning · Computer Science 2024-01-15 Pablo Soldati , Euhanna Ghadimi , Burak Demirel , Yu Wang , Raimundas Gaigalas , Mathias Sintorn

We consider the distributed optimization problem, where a group of agents work together to optimize a common objective by communicating with neighboring agents and performing local computations. For a given algorithm, we use tools from…

Optimization and Control · Mathematics 2020-09-11 Bryan Van Scoy , Laurent Lessard