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We consider the problem of learning causal directed acyclic graphs from an observational joint distribution. One can use these graphs to predict the outcome of interventional experiments, from which data are often not available. We show…

Machine Learning · Statistics 2016-08-18 Jonas Peters , Joris Mooij , Dominik Janzing , Bernhard Schölkopf

We present a new graph compressor that works by recursively detecting repeated substructures and representing them through grammar rules. We show that for a large number of graphs the compressor obtains smaller representations than other…

Data Structures and Algorithms · Computer Science 2017-04-19 Sebastian Maneth , Fabian Peternek

The regression discontinuity design (RDD) is a quasi-experimental design that can be used to identify and estimate the causal effect of a treatment using observational data. In an RDD, a pre-specified rule is used for treatment assignment,…

Methodology · Statistics 2016-01-05 Panayiota Constantinou , Aidan G. O'Keeffe

Residual networks (ResNets) are a deep learning architecture that substantially improved the state of the art performance in certain supervised learning tasks. Since then, they have received continuously growing attention. ResNets have a…

Machine Learning · Computer Science 2020-03-02 Johannes Müller

Instance segmentation is the problem of detecting and delineating each distinct object of interest appearing in an image. Current instance segmentation approaches consist of ensembles of modules that are trained independently of each other,…

Computer Vision and Pattern Recognition · Computer Science 2016-10-26 Bernardino Romera-Paredes , Philip H. S. Torr

A Sturmian sequence is an infinite nonperiodic string over two letters with minimal subword complexity. In two papers, the first written by Morse and Hedlund in 1940 and the second by Coven and Hedlund in 1973, a surprising correspondence…

Number Theory · Mathematics 2020-09-01 Jörg M. Thuswaldner

Sequential recommendation aims at understanding user preference by capturing successive behavior correlations, which are usually represented as the item purchasing sequences based on their past interactions. Existing efforts generally…

Information Retrieval · Computer Science 2024-01-23 Yifang Qin , Wei Ju , Hongjun Wu , Xiao Luo , Ming Zhang

A well-known problem in computing some matrix functions iteratively is the lack of a clear, commonly accepted residual notion. An important matrix function for which this is the case is the matrix exponential. Suppose the matrix exponential…

Numerical Analysis · Mathematics 2015-03-19 Mike A. Botchev

Graph contrastive learning is a general learning paradigm excelling at capturing invariant information from diverse perturbations in graphs. Recent works focus on exploring the structural rationale from graphs, thereby increasing the…

Machine Learning · Computer Science 2024-04-09 Qirui Ji , Jiangmeng Li , Jie Hu , Rui Wang , Changwen Zheng , Fanjiang Xu

A class of random discrete distributions $P$ is introduced by means of a recursive splitting of unity. Assuming supercritical branching, we show that for partitions induced by sampling from such $P$ a power growth of the number of blocks is…

Probability · Mathematics 2007-05-23 Alexander V. Gnedin , Yuri Yakubovich

The degree-restricted random process is a natural algorithmic model for generating graphs with degree sequence D_n=(d_1, \ldots, d_n): starting with an empty n-vertex graph, it sequentially adds new random edges so that the degree of each…

Combinatorics · Mathematics 2025-08-13 Michael Molloy , Erlang Surya , Lutz Warnke

Reverse-mode automatic differentiation (AD) suffers from the issue of having too much space overhead to trace back intermediate computational states for back-propagation. The traditional method to trace back states is called checkpointing…

Programming Languages · Computer Science 2021-02-02 Jin-Guo Liu , Taine Zhao

Since the machine learning techniques are improving rapidly, it has been shown that the image recognition techniques in deep neural networks can be used to detect jet substructure. And it turns out that deep neural networks can match or…

High Energy Physics - Phenomenology · Physics 2018-07-02 Taoli Cheng

This article investigates spectral redundancy, a concept initially introduced by Alberto Seeger. Spectral redundancy arises when different connected induced subgraphs of a graph share the same spectral radius in their adjacency spectrum.…

Combinatorics · Mathematics 2025-07-17 Pawan Kumar , S. Pirzada , S. Merajuddin

This paper studies causal discovery for a directed acyclic graph under a structural equation model with additive heteroscedastic errors. We first establish new identifiability results for location-scale noise models, showing that…

Methodology · Statistics 2026-05-27 Xintao Xia , Li Chen , Yue Hu , Chunlin Li

Freehand sketching is an inherently sequential process. Yet, most approaches for hand-drawn sketch recognition either ignore this sequential aspect or exploit it in an ad-hoc manner. In our work, we propose a recurrent neural network…

Computer Vision and Pattern Recognition · Computer Science 2016-08-12 Ravi Kiran Sarvadevabhatla , Jogendra Kundu , Babu R. Venkatesh

Reciprocal recommender system (RRS), considering a two-way matching between two parties, has been widely applied in online platforms like online dating and recruitment. Existing RRS models mainly capture static user preferences, which have…

Information Retrieval · Computer Science 2023-06-27 Bowen Zheng , Yupeng Hou , Wayne Xin Zhao , Yang Song , Hengshu Zhu

A recursive function on a tree is a function in which each leaf has a given value, and each internal node has a value equal to a function of the number of children, the values of the children, and possibly an explicitly specified random…

Probability · Mathematics 2020-03-24 Nicolas Broutin , Luc Devroye , Nicolas Fraiman

Simple methods permit to generalize the concepts of iteration and of recursive processes. We shall see briefly on several examples what these methods generate. In additive sequences, we shall encounter not only the golden or the silver…

Dynamical Systems · Mathematics 2012-11-20 Andrei Vieru

Many innovations are inspired by past ideas in a non-trivial way. Tracing these origins and identifying scientific branches is crucial for research inspirations. In this paper, we use citation relations to identify the descendant chart,…

Physics and Society · Physics 2015-05-30 S. Gualdi , C. H. Yeung , Y. -C. Zhang