Least-Squares Fuzzy Transforms and Autoencoders: Some Remarks and Application

Tomasiello, Stefania

doi:10.1109/tfuzz.2020.3007442

Cited by 11 publications

(5 citation statements)

References 29 publications

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“…It is easy to show that Ć is a constant independent of n. In a similar we can obtain the same upper bound for R 1 and Rn. Thus, (20) and (21) result…”

Section: Solvability and Convergencementioning

confidence: 88%

“…is verified. Irina Perfilieva firstly introduced the F-transform in 2006 and it received significant attention because of its strong connection with real-world problems such as the construction of approximate models, filtering, solving differential equations, application in signal processing, decompression of images, and data compression [5,10,[13][14][15][16][19][20][21]. The approximation property of F-transforms and the effect of the shapes of basic functions on the approximation quality were described in [1,13].…”

Section: Introductionmentioning

confidence: 99%

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Fuzzy transform-based approximation method for solving fractional semi-explicit differential-algebraic equations

2022

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We present an efficient numerical method to approximate the solution of a system of fractionalorder linear semi-explicit differential-algebraic equations with variable coefficients. The method is based on the use of the direct and inverse fuzzy transforms (F -transforms). By employing this method, we obtain an analytical approximate solution to the main problem in terms of flexible basic functions. The nonlocal property of fuzzy transforms helps us to have an efficient method for problems involving non-singular kernels. The error analysis and convergence evaluation of the method is demonstrated in detail. We give some examples to illustrate the significant features of the method.

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“…It is easy to show that Ć is a constant independent of n. In a similar we can obtain the same upper bound for R 1 and Rn. Thus, (20) and (21) result…”

Section: Solvability and Convergencementioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Fuzzy transform-based approximation method for solving fractional semi-explicit differential-algebraic equations

2022

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“…In the semi-supervised category, we can find techniques based on lexicon (Yan et al 2015;D'Aniello et al 2018;Shah and Swaminarayan 2021;Klyuev and Oleshchuk 2011) or dependency trees (Yu et al 2011) and graphs (Xu et al 2013). Supervised techniques typically use machine learning approaches like random field, SVM (Manek et al 2017), decision trees, neural networks, and autoencoders (Angelidis and Lapata 2018;Tomasiello 2020).…”

Section: Aspect-based Sentiment Analysismentioning

confidence: 99%

KnowMIS-ABSA: an overview and a reference model for applications of sentiment analysis and aspect-based sentiment analysis

D’Aniello

Rocca

2022

Artif Intell Rev

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The analysis of the opinions of customers and users has been always of great interest in supporting decision-making in many fields, especially in marketing. Sentiment analysis (SA) is the umbrella term for techniques and approaches that analyze user’s sentiments, emotions, opinions in text or other media. The need for a better understanding of these opinions paved the way to novel approaches that focus on the analysis of the sentiment related to specific features of a product, giving birth to the field of aspect-based sentiment analysis (ABSA). Although the increasing interest in this discipline, there is still confusion regarding the basic concepts of ABSA: terms like sentiment, affect, emotion, opinion, are used as synonyms while they represent different concepts. This often leads to an incorrect analysis of the users’ opinions.This work presents an overview of the state-of-the-art techniques and approaches for ABSA, highlighting the main critical issues related to current trends in this field. Following this analysis, a new reference model for SA and ABSA, namely the KnowMIS-ABSA model, is proposed. The model is grounded on the consideration that sentiment, affect, emotion and opinion are very different concepts and that it is profoundly wrong to use the same metric and the same technique to measure them. Accordingly, we argue that different tools and metrics should be adopted to measure each of the dimensions of an opinion. A qualitative case study, regarding product reviews, is proposed to motivate the advantages of the KnowMIS-ABSA model.

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“…In this direction, scientific communities are focusing on possible models for energy networked systems, with emphasis on optimization problems that arise naturally in daily situations, see [6] and [7] for possible applications as well as [8] for a complete vision. In particular, energy hubs are a class of multi-generation systems where multiple energy carriers are converted, stored and dissipated, [9,10].…”

Section: Introductionmentioning

confidence: 99%

A Fluid Dynamic Approach To Model And Optimize Energy Flows In Networked Systems

de Falco,

Rarità,

Vaccaro

2024

Preprint

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In this paper the attention is focused on the analysis and the optimization of energy flows in networked systems via a fluid-dynamic model. In particular, a cost functional that represents a term proportional to the kinetic energy of an energy system is studied. First, the functional is optimized for a simple network having a unique node, with an incoming arc and two outgoing ones. The optimization deals with distribution coefficients and explicit solutions are found. Then, the global optimization is obtained using the local optimal parameters at the various nodes of the system. Considering the case study of an energy hub, interesting results are obtained for the whole network, proving the correctness of the proposed approach.

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Least-Squares Fuzzy Transforms and Autoencoders: Some Remarks and Application

Cited by 11 publications

References 29 publications

Fuzzy transform-based approximation method for solving fractional semi-explicit differential-algebraic equations

Fuzzy transform-based approximation method for solving fractional semi-explicit differential-algebraic equations

KnowMIS-ABSA: an overview and a reference model for applications of sentiment analysis and aspect-based sentiment analysis

A Fluid Dynamic Approach To Model And Optimize Energy Flows In Networked Systems

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