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We present a sound and complete algorithm, called iterative causal discovery (ICD), for recovering causal graphs in the presence of latent confounders and selection bias. ICD relies on the causal Markov and faithfulness assumptions and…

Machine Learning · Computer Science 2022-01-19 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

A causal model is an abstract representation of a physical system as a directed acyclic graph (DAG), where the statistical dependencies are encoded using a graphical criterion called `d-separation'. Recent work by Wood & Spekkens shows that…

Quantum Physics · Physics 2015-08-10 Jacques Pienaar , Caslav Brukner

Document-level relation extraction (DocRE) models generally use graph networks to implicitly model the reasoning skill (i.e., pattern recognition, logical reasoning, coreference reasoning, etc.) related to the relation between one entity…

Computation and Language · Computer Science 2021-06-04 Wang Xu , Kehai Chen , Tiejun Zhao

Separation Logic is a widely used formalism for describing dynamically allocated linked data structures, such as lists, trees, etc. The decidability status of various fragments of the logic constitutes a long standing open problem. Current…

Logic in Computer Science · Computer Science 2013-04-02 Radu Iosif , Adam Rogalewicz , Jiri Simacek

The successive discrete structures generated by a sequential algorithm from random input constitute a Markov chain that may exhibit long term dependence on its first few input values. Using examples from random graph theory and search…

Probability · Mathematics 2023-06-22 Rudolf Grübel

Neural Networks sequentially build high-level features through their successive layers. We propose here a new neural network model where each layer is associated with a set of candidate mappings. When an input is processed, at each layer,…

Machine Learning · Computer Science 2014-10-03 Ludovic Denoyer , Patrick Gallinari

A recent line of work shows that a deep neural network with ReLU nonlinearities arises from a finite sequence of cascaded sparse coding models, the outputs of which, except for the last element in the cascade, are sparse and unobservable.…

Signal Processing · Electrical Eng. & Systems 2020-04-27 Demba Ba

Causal representation learning seeks to uncover causal relationships among high-level latent variables from low-level, entangled, and noisy observations. Existing approaches often either rely on deep neural networks, which lack…

Methodology · Statistics 2026-03-27 Wenjin Zhang , Yixin Wang , Yuqi Gu

The identification of complex periodic windows in the two-dimensional parameter space of certain dynamical systems has recently attracted considerable interest. While for discrete systems, a discrimination between periodic and chaotic…

Chaotic Dynamics · Physics 2011-03-03 Yong Zou , Reik V. Donner , Jonathan F. Donges , Norbert Marwan , Jürgen Kurths

In this work, we address the problem to model all the nodes (words or phrases) in a dependency tree with the dense representations. We propose a recursive convolutional neural network (RCNN) architecture to capture syntactic and…

Computation and Language · Computer Science 2015-05-22 Chenxi Zhu , Xipeng Qiu , Xinchi Chen , Xuanjing Huang

Recent years have witnessed the impressive progress in Neural Dependency Parsing. According to the different factorization approaches to the graph joint probabilities, existing parsers can be roughly divided into autoregressive and…

Computation and Language · Computer Science 2023-06-22 Ye Ma , Mingming Sun , Ping Li

Stencil loops are a common motif in computations including convolutional neural networks, structured-mesh solvers for partial differential equations, and image processing. Stencil loops are easy to parallelise, and their fast execution is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-08 Jan Hückelheim , Navjot Kukreja , Sri Hari Krishna Narayanan , Fabio Luporini , Gerard Gorman , Paul Hovland

Many semantical aspects of programming languages, such as their operational semantics and their type assignment calculi, are specified by describing appropriate proof systems. Recent research has identified two proof-theoretic features that…

Logic in Computer Science · Computer Science 2008-04-14 Andrew Gacek , Dale Miller , Gopalan Nadathur

The assumed causal relationships depicted in a DAG are interpreted using a set of rules called D-separation rules. Although these rules can be implemented automatically using standard software, at least a basic understanding of their…

Methodology · Statistics 2025-02-20 Fernando Pires Hartwig , Timothy Feeney , Neil Davies

Deep neural networks are revolutionizing the way complex systems are developed. However, these automatically-generated networks are opaque to humans, making it difficult to reason about them and guarantee their correctness. Here, we propose…

Artificial Intelligence · Computer Science 2020-08-11 Yuval Jacoby , Clark Barrett , Guy Katz

We introduce neural networks for end-to-end differentiable proving of queries to knowledge bases by operating on dense vector representations of symbols. These neural networks are constructed recursively by taking inspiration from the…

Neural and Evolutionary Computing · Computer Science 2017-12-05 Tim Rocktäschel , Sebastian Riedel

Handwritten Mathematical Expression Recognition is foundational for educational technologies, enabling applications like digital note-taking and automated grading. While modern encoder-decoder architectures with large language models excel…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Jakob Seitz , Tobias Lengfeld , Radu Timofte

Automatically highlighting words that cause semantic differences between two documents could be useful for a wide range of applications. We formulate recognizing semantic differences (RSD) as a token-level regression task and study three…

Computation and Language · Computer Science 2023-10-23 Jannis Vamvas , Rico Sennrich

To approximate a simple root of an equation we construct families of iterative maps of higher order of convergence. These maps are based on model functions which can be written as an inner product. The main family of maps discussed is…

Numerical Analysis · Mathematics 2014-05-20 Mário M. Graça

Online recommender systems (RS) aim to match user needs with the vast amount of resources available on various platforms. A key challenge is to model user preferences accurately under the condition of data sparsity. To address this…

Information Retrieval · Computer Science 2023-09-20 Ning Wu , Ming Gong , Linjun Shou , Jian Pei , Daxin Jiang