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Numerous formalisms and dedicated algorithms have been designed in the last decades to model and solve decision making problems. Some formalisms, such as constraint networks, can express "simple" decision problems, while others are designed…

Artificial Intelligence · Computer Science 2011-10-13 C. Pralet , T. Schiex , G. Verfaillie

A data structure for finite bounded acyclic categories has been built, which is useful to encode and manipulate abstract orientable incidence structure. It can be represented as a directed acyclic multigraph with weighted edges, where the…

Data Structures and Algorithms · Computer Science 2023-07-04 Yu-Wei Huang

In fact, there exist three genres of intelligence architectures: logics (e.g. \textit{Random Forest, A$^*$ Searching}), neurons (e.g. \textit{CNN, LSTM}) and probabilities (e.g. \textit{Naive Bayes, HMM}), all of which are incompatible to…

Artificial Intelligence · Computer Science 2018-01-08 Han Xiao

Influence diagrams (IDs) are well-known formalisms extending Bayesian networks to model decision situations under uncertainty. Although they are convenient as a decision theoretic tool, their knowledge representation ability is limited in…

Logic in Computer Science · Computer Science 2020-07-02 Erman Acar , Rafael Peñaloza

We describe a representation and a set of inference methods that combine logic programming techniques with probabilistic network representations for uncertainty (influence diagrams). The techniques emphasize the dynamic construction and…

Artificial Intelligence · Computer Science 2013-04-11 John S. Breese , Edison Tse

Proposals for safe AGI systems are typically made at the level of frameworks, specifying how the components of the proposed system should be trained and interact with each other. In this paper, we model and compare the most promising AGI…

Artificial Intelligence · Computer Science 2019-06-21 Tom Everitt , Ramana Kumar , Victoria Krakovna , Shane Legg

One of the goals of causal inference is to generalize from past experiments and observational data to novel conditions. While it is in principle possible to eventually learn a mapping from a novel experimental condition to an outcome of…

Machine Learning · Statistics 2023-11-10 Gecia Bravo-Hermsdorff , David S. Watson , Jialin Yu , Jakob Zeitler , Ricardo Silva

Generalized planning studies the construction of solution strategies that generalize across families of planning problems sharing a common domain model, formally defined by a transition function $\gamma : S \times A \rightarrow S$.…

Artificial Intelligence · Computer Science 2026-03-23 Nitin Gupta , Vishal Pallagani , John A. Aydin , Biplav Srivastava

Although Fault Tree and Event Tree analysis are still today the standard approach to system safety analysis for many engineering sectors, these techniques lack the capabilities of fully capturing the realistic, dynamic behaviour of complex…

Computational Engineering, Finance, and Science · Computer Science 2025-10-21 Silvia Tolo , John Andrews

A graph is a data structure composed of dots (i.e. vertices) and lines (i.e. edges). The dots and lines of a graph can be organized into intricate arrangements. The ability for a graph to denote objects and their relationships to one…

Data Structures and Algorithms · Computer Science 2010-09-07 Marko A. Rodriguez , Peter Neubauer

We generalize the enhanced power graph by replacing elements with classes under automorphisms. We show that the connectivity and diameter of this graph is similar to that of the enhanced power graph. We consider the universal vertices of…

Group Theory · Mathematics 2025-03-11 Abbas Mohammadian , Ismail Guloglu , Ahmad Erfanian , Mark L. Lewis

A hallmark of intelligence is the ability to deduce general principles from examples, which are correct beyond the range of those observed. Generalized Planning deals with finding such principles for a class of planning problems, so that…

Artificial Intelligence · Computer Science 2020-05-06 Or Rivlin , Tamir Hazan , Erez Karpas

Two algorithms are presented for "compiling" influence diagrams into a set of simple decision rules. These decision rules define simple-to-execute, complete, consistent, and near-optimal decision procedures. These compilation algorithms can…

Artificial Intelligence · Computer Science 2013-03-08 Paul E. Lehner , Azar Sadigh

Influence diagrams are a decision-theoretic extension of probabilistic graphical models. In this paper we show how they can be used to solve the Goddard problem. We present results of numerical experiments with this problem and compare the…

Artificial Intelligence · Computer Science 2017-03-22 Jiří Vomlel , Václav Kratochvíl

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

Data flow diagrams (DFDs) are popular for sketching systems for subsequent threat modelling. Their limited semantics make reasoning about them difficult, but enriching them endangers their simplicity and subsequent ease of take up. We…

Cryptography and Security · Computer Science 2020-06-09 Shamal Faily , Riccardo Scandariato , Adam Shostack , Laurens Sion , Duncan Ki-Aries

We propose a new framework for discovering landmarks that automatically generalize across a domain. These generalized landmarks are learned from a set of solved instances and describe intermediate goals for planning problems where…

Artificial Intelligence · Computer Science 2025-09-01 Issa Hanou , Sebastijan Dumančić , Mathijs de Weerdt

We develop a diagrammatic approach to effective field theories (EFTs) corresponding to deep neural networks at initialization, which dramatically simplifies computations of finite-width corrections to neuron statistics. The structures of…

High Energy Physics - Theory · Physics 2023-05-12 Ian Banta , Tianji Cai , Nathaniel Craig , Zhengkang Zhang

We describe a design-based framework for drawing causal inference in general randomized experiments. Causal effects are defined as linear functionals evaluated at unit-level potential outcome functions. Assumptions about the potential…

Methodology · Statistics 2025-08-15 Christopher Harshaw , Fredrik Sävje , Yitan Wang

Graph learning from data represents a canonical problem that has received substantial attention in the literature. However, insufficient work has been done in incorporating prior structural knowledge onto the learning of underlying…

Machine Learning · Statistics 2019-04-23 Sandeep Kumar , Jiaxi Ying , José Vinícius de M. Cardoso , Daniel Palomar
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