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A traversal of a connected graph is a linear ordering of its vertices all of whose initial segments induce connected subgraphs. Traversals, and their refinements such as breadth-first and depth-first traversals, are computed by various…

Logic · Mathematics 2018-10-24 Siddharth Bhaskar , Anton Jay Kienzle

Layout generation is a critical step in graphic design to achieve meaningful compositions of elements. Most previous works view it as a sequence generation problem by concatenating element attribute tokens (i.e., category, size, position).…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Jieru Lin , Danqing Huang , Tiejun Zhao , Dechen Zhan , Chin-Yew Lin

In the field of complex networks and graph theory, new results are typically tested on graphs generated by a variety of algorithms such as the Erd\H{o}s-R\'{e}nyi model or the Barab\'{a}si-Albert model. Unfortunately, most graph generating…

Combinatorics · Mathematics 2018-08-16 Isaac Klickstein , Francesco Sorrentino

In a variety of problems originating in supervised, unsupervised, and reinforcement learning, the loss function is defined by an expectation over a collection of random variables, which might be part of a probabilistic model or the external…

Machine Learning · Computer Science 2016-01-06 John Schulman , Nicolas Heess , Theophane Weber , Pieter Abbeel

Dominant sentence ordering models can be classified into pairwise ordering models and set-to-sequence models. However, there is little attempt to combine these two types of models, which inituitively possess complementary advantages. In…

Computation and Language · Computer Science 2021-10-14 Shaopeng Lai , Ante Wang , Fandong Meng , Jie Zhou , Yubin Ge , Jiali Zeng , Junfeng Yao , Degen Huang , Jinsong Su

The quest for efficient sorting is ongoing, and we will explore a graph-based stable sorting strategy, in particular employing comparison graphs. We use the topological sort to map the comparison graph to a linear domain, and we can…

Data Structures and Algorithms · Computer Science 2020-09-02 Balaram Behera

It is a long-standing question to discover causal relations among a set of variables in many empirical sciences. Recently, Reinforcement Learning (RL) has achieved promising results in causal discovery from observational data. However,…

Machine Learning · Computer Science 2021-09-16 Xiaoqiang Wang , Yali Du , Shengyu Zhu , Liangjun Ke , Zhitang Chen , Jianye Hao , Jun Wang

Graph learning algorithms have attained state-of-the-art performance on many graph analysis tasks such as node classification, link prediction, and clustering. It has, however, become hard to track the field's burgeoning progress. One…

Machine Learning · Computer Science 2022-04-05 Anton Tsitsulin , Benedek Rozemberczki , John Palowitch , Bryan Perozzi

We study the problem of learning the support of transition matrix between random processes in a Vector Autoregressive (VAR) model from samples when a subset of the processes are latent. It is well known that ignoring the effect of the…

Machine Learning · Computer Science 2017-11-13 Saber Salehkaleybar , Jalal Etesami , Negar Kiyavash , Kun Zhang

Degree-based graph construction is an ubiquitous problem in network modeling, ranging from social sciences to chemical compounds and biochemical reaction networks in the cell. This problem includes existence, enumeration, exhaustive…

Combinatorics · Mathematics 2009-08-27 Hyunju Kim , Zoltan Toroczkai , Péter L. Erdős , István Miklós , László Á. Székely

Graph generation is one of the most challenging tasks in recent years, and its core is to learn the ground truth distribution hiding in the training data. However, training data may not be available due to security concerns or unaffordable…

Discrete Mathematics · Computer Science 2025-03-11 Xiaorui Qi , Yanlong Wen , Xiaojie Yuan

Constructions of directed configuration graphs based on a given bi-degree distribution were introduced in random graph theory some years ago. These constructions lead to graphs where the degrees of two nodes belonging to the same edge are…

Probability · Mathematics 2017-01-13 Philippe Deprez , Mario V. Wüthrich

Large language models (LLMs) have achieved significant success in reasoning tasks, including mathematical reasoning and logical deduction. Among these reasoning tasks, graph problems stand out due to their complexity and unique structural…

Artificial Intelligence · Computer Science 2025-10-15 Yuyao Ge , Shenghua Liu , Baolong Bi , Yiwei Wang , Lingrui Mei , Wenjie Feng , Lizhe Chen , Xueqi Cheng

We present a constraint-based algorithm for learning causal structures from observational time-series data, in the presence of latent confounders. We assume a discrete-time, stationary structural vector autoregressive process, with both…

Artificial Intelligence · Computer Science 2023-06-02 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

Inspired by the remarkable success of autoregressive models in language modeling, this paradigm has been widely adopted in visual generation. However, the sequential token-by-token decoding mechanism inherent in traditional autoregressive…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Siyang Wang , Hanting Li , Wei Li , Jie Hu , Xinghao Chen , Feng Zhao

Creating graphic layouts is a fundamental step in graphic designs. In this work, we present a novel generative model named LayoutDiffusion for automatic layout generation. As layout is typically represented as a sequence of discrete tokens,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Junyi Zhang , Jiaqi Guo , Shizhao Sun , Jian-Guang Lou , Dongmei Zhang

Accurate gene regulatory networks can be used to explain the emergence of different phenotypes, disease mechanisms, and other biological functions. Many methods have been proposed to infer networks from gene expression data but have been…

Quantitative Methods · Quantitative Biology 2018-12-11 Phan Nguyen , Rosemary Braun

Graphs are a commonly used construct for representing relationships between elements in complex high dimensional datasets. Many real-world phenomenon are dynamic in nature, meaning that any graph used to represent them is inherently…

Social and Information Networks · Computer Science 2018-11-21 Stephen Bonner , John Brennan , Ibad Kureshi , Georgios Theodoropoulos , Andrew Stephen McGough , Boguslaw Obara

The raster-ordered image token sequence exhibits a significant Euclidean distance between index-adjacent tokens at line breaks, making it unsuitable for autoregressive generation. To address this issue, this paper proposes Direction-Aware…

Computer Vision and Pattern Recognition · Computer Science 2025-04-17 Yijia Xu , Jianzhong Ju , Jian Luan , Jinshi Cui

Transformer-based autoregressive models offer an efficient alternative to diffusion- and flow-matching-based approaches for generating 3D molecules. One challenge remains: standard transformer architectures require a sequential ordering of…

Machine Learning · Computer Science 2026-05-07 Daniel Rose , Roxane Axel Jacob , Johannes Kirchmair , Thierry Langer
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