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Abstraction is a well-known approach to simplify a complex problem by over-approximating it with a deliberate loss of information. It was not considered so far in Answer Set Programming (ASP), a convenient tool for problem solving. We…

Logic in Computer Science · Computer Science 2021-07-01 Zeynep G. Saribatur , Thomas Eiter

We present a new approach for performing predicate abstraction based on symbolic decision procedures. Intuitively, a symbolic decision procedure for a theory takes a set of predicates in the theory and symbolically executes a decision…

Logic in Computer Science · Computer Science 2017-01-11 Shuvendu K. Lahiri , Thomas Ball , Byron Cook

In keyword search over a data graph, an answer is a non-redundant subtree that contains all the keywords of the query. A naive approach to producing all the answers by increasing height is to generalize Dijkstra's algorithm to enumerating…

Databases · Computer Science 2016-05-26 Konstantin Golenberg , Yehoshua Sagiv

Whether explicit or implicit, sets are a critical part of many pieces of software. As a result, it is necessary to develop abstractions of sets for the purposes of abstract interpretation, model checking, and deductive verification.…

Logic in Computer Science · Computer Science 2015-03-06 Arlen Cox

Given the set of paths through a digraph, the result of uniformly deleting some vertices and identifying others along each path is coherent in such a way as to yield the set of paths through another digraph, called a \emph{path abstraction}…

Combinatorics · Mathematics 2017-01-27 Steve Huntsman

An abstract machine is a theoretical model designed to perform a rigorous study of computation. Such a model usually consists of configurations, instructions, programs, inputs and outputs for the machine. In this paper we formalize these…

Logic in Computer Science · Computer Science 2010-07-21 Zhaohua Luo

A decision tree looks like a simple directed acyclic computational graph, where only the leaf nodes specify the output values and the non-terminals specify their tests or split conditions. From the numerical perspective, we express decision…

Machine Learning · Computer Science 2024-11-07 Jinxiong Zhang

In this paper, we develop a framework to obtain graph abstractions for decision-making by an agent where the abstractions emerge as a function of the agent's limited computational resources. We discuss the connection of the proposed…

Robotics · Computer Science 2021-02-22 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

We present a methodology for formulating simplifying abstractions in machine learning systems by identifying and harnessing the utility structure of decisions. Machine learning tasks commonly involve high-dimensional output spaces (e.g.,…

Machine Learning · Computer Science 2023-03-31 Michael Poli , Stefano Massaroli , Stefano Ermon , Bryan Wilder , Eric Horvitz

Factored stochastic constraint programming (FSCP) is a formalism to represent multi-stage decision making problems under uncertainty. FSCP models support factorized probabilistic models and involve constraints over decision and random…

Artificial Intelligence · Computer Science 2019-09-25 Behrouz Babaki , Golnoosh Farnadi , Gilles Pesant

While the utility of well-chosen abstractions for understanding and predicting the behaviour of complex systems is well appreciated, precisely what an abstraction $\textit{is}$ has so far has largely eluded mathematical formalization. In…

Artificial Intelligence · Computer Science 2021-06-29 Beren Millidge

Defeasible reasoning is the mode of reasoning where conclusions can be overturned by taking into account new evidence. A commonly used method in cognitive science and logic literature is to handcraft argumentation supporting inference…

Computation and Language · Computer Science 2021-06-01 Aman Madaan , Dheeraj Rajagopal , Niket Tandon , Yiming Yang , Eduard Hovy

In this paper we provide for parsing with respect to grammars expressed in a general TFS-based formalism, a restriction of ALE. Our motivation being the design of an abstract (WAM-like) machine for the formalism, we consider parsing as a…

cmp-lg · Computer Science 2016-08-31 Shuly Wintner , Nissim Francez

In this paper we provide for parsing with respect to grammars expressed in a general TFS-based formalism, a restriction of ALE. Our motivation being the design of an abstract (WAM-like) machine for the formalism, we consider parsing as a…

cmp-lg · Computer Science 2016-08-31 Shuly Wintner , Nissim Francez

A new prior is proposed for learning representations of high-level concepts of the kind we manipulate with language. This prior can be combined with other priors in order to help disentangling abstract factors from each other. It is…

Machine Learning · Computer Science 2019-12-04 Yoshua Bengio

Social surveys have been widely used as a method of obtaining public opinion. Sometimes it is more ideal to collect opinions by presenting questions in free-response formats than in multiple-choice formats. Despite their advantages,…

Social and Information Networks · Computer Science 2020-07-09 Tatsuro Kawamoto , Takaaki Aoki

Factorized representations (FRs) are a well-known tool to succinctly represent results of join queries and have been originally defined using the named database perspective. We define FRs in the unnamed database perspective and use them to…

Databases · Computer Science 2024-12-09 Benny Kimelfeld , Wim Martens , Matthias Niewerth

Query-focused summarization (QFS) aims to provide a summary of a document that satisfies information need of a given query and is useful in various IR applications, such as abstractive snippet generation. Current QFS approaches typically…

Information Retrieval · Computer Science 2023-04-25 Zhichao Xu , Daniel Cohen

Graphical forms such as scatterplots, line plots, and histograms are so familiar that it can be easy to forget how abstract they are. As a result, we often produce graphs that are difficult to follow. We propose a strategy for graphical…

Methodology · Statistics 2025-09-15 Andrew Gelman

We show that an interesting class of feed-forward neural networks can be understood as quantitative argumentation frameworks. This connection creates a bridge between research in Formal Argumentation and Machine Learning. We generalize the…

Neural and Evolutionary Computing · Computer Science 2020-12-11 Nico Potyka
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