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We propose a new method for computing Dynamic Mode Decomposition (DMD) evolution matrices, which we use to analyze dynamical systems. Unlike the majority of existing methods, our approach is based on a variational formulation consisting of…

Numerical Analysis · Mathematics 2019-05-24 Omri Azencot , Wotao Yin , Andrea Bertozzi

In this study, we present an incremental machine learning framework called Adaptive Decision Forest (ADF), which produces a decision forest to classify new records. Based on our two novel theorems, we introduce a new splitting strategy…

Machine Learning · Computer Science 2021-01-29 Md Geaur Rahman , Md Zahidul Islam

We present semantic correctness proofs of Automatic Differentiation (AD). We consider a forward-mode AD method on a higher order language with algebraic data types, and we characterise it as the unique structure preserving macro given a…

Programming Languages · Computer Science 2020-04-02 Mathieu Huot , Sam Staton , Matthijs Vákár

This work proposes novel splitting techniques for argumentation formalisms that incorporate supports between defeasible elements. We base our studies on bipolar set-based argumentation frameworks (BSAFs) which generalize argumentation…

Artificial Intelligence · Computer Science 2026-05-01 Matti Berthold , Lydia Blümel , Giovanni Buraglio , Anna Rapberger

It is shown that the solution maps of an abstract functional differential equations (FDEs) are $\alpha$-contractions in the phase space equipped with an equivalent norm under appropriate assumptions. This result can be applied to…

Analysis of PDEs · Mathematics 2017-01-04 Xiao-Qiang Zhao

Automatic differentiation (AD) is a technique for computing the derivative of a function represented by a program. This technique is considered as the de-facto standard for computing the differentiation in many machine learning and…

Programming Languages · Computer Science 2022-12-21 Amir Shaikhha , Mathieu Huot , Shabnam Ghasemirad , Andrew Fitzgibbon , Simon Peyton Jones , Dimitrios Vytiniotis

The pervasive uncertainty and dynamic nature of real-world environments present significant challenges for the widespread implementation of machine-driven Intelligent Decision-Making (IDM) systems. Consequently, IDM should possess the…

Artificial Intelligence · Computer Science 2023-05-17 Ying Wen , Ziyu Wan , Ming Zhou , Shufang Hou , Zhe Cao , Chenyang Le , Jingxiao Chen , Zheng Tian , Weinan Zhang , Jun Wang

In AdS/CFT, the non-uniqueness of the reconstructed bulk from boundary subregions has motivated the notion of code subspaces. We present some closely related structures that arise in flat space. A useful organizing idea is that of an {\em…

High Energy Physics - Theory · Physics 2022-08-05 Chethan Krishnan

The problem of explaining inconsistency-tolerant reasoning in knowledge bases (KBs) is a prominent topic in Artificial Intelligence (AI). While there is some work on this problem, the explanations provided by existing approaches often lack…

Artificial Intelligence · Computer Science 2025-02-18 Loan Ho , Stefan Schlobach

This paper describes an approach to the representation and processing of ontologies in the Semantic Web, based on the ICMAUS theory of computation and AI. This approach has strengths that complement those of languages based on the Resource…

Artificial Intelligence · Computer Science 2007-05-23 J Gerard Wolff

This document defines extensions of the RDF data model and of the SPARQL query language that capture an alternative approach to represent statement-level metadata. While this alternative approach is backwards compatible with RDF reification…

Databases · Computer Science 2021-12-17 Olaf Hartig , Bryan Thompson

We study invariant local expansion operators for conflict-free and admissible sets in Abstract Argumentation Frameworks (AFs). Such operators are directly applied on AFs, and are invariant with respect to a chosen "semantics" (that is…

Artificial Intelligence · Computer Science 2018-08-01 Stefano Bistarelli , Francesco Santini , Carlo Taticchi

Abstract argumentation frameworks are formal systems that facilitate obtaining conclusions from non-monotonic knowledge systems. Within such a system, an argumentation semantics is defined as a set of arguments with some desired qualities,…

Artificial Intelligence · Computer Science 2018-08-14 Renata Wong

Diffusion Language Models (DLMs) have shown strong potential for text generation and are becoming a competitive alternative to autoregressive models. The denoising strategy plays an important role in determining the quality of their…

Machine Learning · Computer Science 2026-03-03 Haojin Yang , Rui Hu , Zequn Sun , Rui Zhou , Yujun Cai , Yiwei Wang

This paper describes an open-source Python framework for handling datasets for music processing tasks, built with the aim of improving the reproducibility of research projects in music computing and assessing the generalization abilities of…

Multimedia · Computer Science 2021-12-28 Federico Simonetta , Stavros Ntalampiras , Federico Avanzini

Answer-set programming (ASP) has emerged recently as a viable programming paradigm well attuned to search problems in AI, constraint satisfaction and combinatorics. Propositional logic is, arguably, the simplest ASP system with an intuitive…

Artificial Intelligence · Computer Science 2007-05-23 Deborah East , Miroslaw Truszczynski

ion is one of the most promising approaches to improve the performance of problem solvers. In several domains abstraction by dropping sentences of a domain description -- as used in most hierarchical planners -- has proven useful. In this…

Artificial Intelligence · Computer Science 2009-09-25 R. Bergmann , W. Wilke

LLMs are increasingly used as third-party judges, yet their reliability when evaluating speakers in dialogue remains poorly understood. We show that LLMs judge identical claims differently depending on framing: the same content elicits…

Computation and Language · Computer Science 2026-01-19 Parisa Rabbani , Priyam Sahoo , Ruben Mathew , Aishee Mondal , Harshita Ketharaman , Nimet Beyza Bozdag , Dilek Hakkani-Tür

Argumentation frameworks, consisting of arguments and an attack relation representing conflicts, are fundamental for formally studying reasoning under conflicting information. We use methods from mathematical logic, specifically…

Artificial Intelligence · Computer Science 2025-12-01 Uri Andrews , Luca San Mauro

We propose a unified Implicit Dialog framework for goal-oriented, information seeking tasks of Conversational Search applications. It aims to enable dialog interactions with domain data without replying on explicitly encoded the rules but…

Computation and Language · Computer Science 2018-02-14 Song Feng , R. Chulaka Gunasekara , Sunil Shashidhara , Kshitij P. Fadnis , Lazaros C. Polymenakos