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The paper addresses the modular design of composite solving strategies for multicriteria ranking (sorting). Here a 'scale of creativity' that is close to creative levels proposed by Altshuller is used as the reference viewpoint: (i) a basic…

Optimization and Control · Mathematics 2012-11-13 Mark Sh. Levin

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

Machine Learning · Computer Science 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording

Aggregation functions are generally defined and used to combine several numerical values into a single one, so that the final result of the aggregation takes into account all the individual values in a given manner. Such functions are…

Statistics Theory · Mathematics 2009-06-22 Jean-Luc Marichal

Models trained on semantically related datasets and tasks exhibit comparable inter-sample relations within their latent spaces. We investigate in this study the aggregation of such latent spaces to create a unified space encompassing the…

This paper surveys the recent attempts at leveraging machine learning to solve constrained optimization problems. It focuses on surveying the work on integrating combinatorial solvers and optimization methods with machine learning…

Machine Learning · Computer Science 2021-03-31 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck , Bryan Wilder

This paper introduces a new shape-matching methodology, combinative matching, to combine interlocking parts for geometric shape assembly. Previous methods for geometric assembly typically rely on aligning parts by finding identical surfaces…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Nahyuk Lee , Juhong Min , Junhong Lee , Chunghyun Park , Minsu Cho

We investigate the community detection problem on graphs in the existence of multiple edge types. Our main motivation is that similarity between objects can be defined by many different metrics and aggregation of these metrics into a single…

Social and Information Networks · Computer Science 2011-03-16 Matthew Rocklin , Ali Pinar

Multiplex networks offer an important tool for the study of complex systems and extending techniques originally designed for single--layer networks is an important area of study. One of the most important methods for analyzing networks is…

Social and Information Networks · Computer Science 2017-03-17 Daryl R. DeFord , Scott D. Pauls

In recent years generative design techniques have become firmly established in numerous applied fields, especially in engineering. These methods are demonstrating intensive growth owing to promising outlook. However, existing approaches are…

Neural and Evolutionary Computing · Computer Science 2022-12-29 Nikita O. Starodubcev , Nikolay O. Nikitin , Konstantin G. Gavaza , Elizaveta A. Andronova , Denis O. Sidorenko , Anna V. Kalyuzhnaya

We consider the minimization of a sum of a smooth function with a nonsmooth composite function, where the composition is applied on a random linear mapping. This random composite model encompasses many problems, and can especially capture…

Optimization and Control · Mathematics 2024-12-02 Dan Greenstein , Nadav Hallak

In optimization or machine learning problems we are given a set of items, usually points in some metric space, and the goal is to minimize or maximize an objective function over some space of candidate solutions. For example, in clustering…

Machine Learning · Computer Science 2020-11-19 Dan Feldman

Density-based cluster mining is known to serve a broad range of applications ranging from stock trade analysis to moving object monitoring. Although methods for efficient extraction of density-based clusters have been studied in the…

Databases · Computer Science 2011-11-01 Di Yang , Elke A. Rundensteiner , Matthew O. Ward

With the development of machine learning and Big Data, the concepts of linear and non-linear optimization techniques are becoming increasingly valuable for many quantitative disciplines. Problems of that nature are typically solved using…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 Wiktor Maj

Model compression is generally performed by using quantization, low-rank approximation or pruning, for which various algorithms have been researched in recent years. One fundamental question is: what types of compression work better for a…

Machine Learning · Computer Science 2021-07-12 Miguel Á. Carreira-Perpiñán , Yerlan Idelbayev

Building structures with hierarchical order through the self-assembly of smaller blocks is not only a prerogative of nature, but also a strategy to design artificial materials with tailored functions. We explore in simulation the…

Soft Condensed Matter · Physics 2020-02-17 Santi Prestipino , Domenico Gazzillo , Gianmarco Munaò , Dino Costa

Ensemble models refer to methods that combine a typically large number of classifiers into a compound prediction. The output of an ensemble method is the result of fitting a base-learning algorithm to a given data set, and obtaining diverse…

Machine Learning · Statistics 2019-06-10 Waldyn Martinez

Convolution trees, loopy belief propagation, and fast numerical p-convolution are combined for the first time to efficiently solve networks with several additive constraints between random variables. An implementation of this "convolution…

Computation · Statistics 2017-08-23 Oliver Serang

The two most extended density-based approaches to clustering are surely mixture model clustering and modal clustering. In the mixture model approach, the density is represented as a mixture and clusters are associated to the different…

Machine Learning · Statistics 2016-09-16 José E. Chacón

Performance analysis based on modelling consists of two major steps: model construction and model analysis. Formal modelling techniques significantly aid model construction but can exacerbate model analysis. In particular, here we consider…

Performance · Computer Science 2013-09-09 Alireza Pourranjbar , Jane Hillston

The paper describes combinatorial synthesis approach with interval multset estimates of system elements for modeling, analysis, design, and improvement of a modular telemetry system. Morphological (modular) system design and improvement are…

Systems and Control · Computer Science 2012-07-26 Mark Sh. Levin