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We consider the Distinct Shortest Walks problem. Given two vertices $s$ and $t$ of a graph database $\mathcal{D}$ and a regular path query, enumerate all walks of minimal length from $s$ to $t$ that carry a label that conforms to the query.…

数据结构与算法 · 计算机科学 2024-03-08 Claire David , Nadime Francis , Victor Marsault

Binary Neural Networks~(BNNs) have been proven to be highly effective for deploying deep neural networks on mobile and embedded platforms. Most existing works focus on minimizing quantization errors, improving representation ability, or…

计算机视觉与模式识别 · 计算机科学 2024-07-09 Jingyang Xiang , Zuohui Chen , Siqi Li , Qing Wu , Yong Liu

Consider the following computational problem: given a regular digraph $G=(V,E)$, two vertices $u,v \in V$, and a walk length $t\in \mathbb{N}$, estimate the probability that a random walk of length $t$ from $u$ ends at $v$ to within $\pm…

计算复杂性 · 计算机科学 2021-11-04 Edward Pyne , Salil Vadhan

Given a set of graphs from some unknown family, we want to generate new graphs from that family. Recent methods use diffusion on either graph embeddings or the discrete space of nodes and edges. However, simple changes to embeddings (say,…

机器学习 · 计算机科学 2026-05-08 Rahul Nandakumar , Deepayan Chakrabarti

The random walker (RW) algorithm is used for both image segmentation and registration, and possesses several useful properties that make it popular in medical imaging, such as being globally optimizable, allowing user interaction, and…

计算机视觉与模式识别 · 计算机科学 2016-07-15 Shawn Andrews , Ghassan Hamarneh

Given a graph and two fixed vertices $s$ and $t$, the Replacement Path Problem (RP) is to compute for every edge $e$, the distance between $s$ and $t$ when $e$ is removed. There are two natural extensions to RP: (1) Single Source…

数据结构与算法 · 计算机科学 2026-05-05 Jakob Nogler , Virginia Vassilevska Williams

Roundtrip spanners are the analog of spanners in directed graphs, where the roundtrip metric is used as a notion of distance. Recent works have shown existential results of roundtrip spanners nearly matching the undirected case, but the…

数据结构与算法 · 计算机科学 2023-11-01 Alina Harbuzova , Ce Jin , Virginia Vassilevska Williams , Zixuan Xu

In this paper, we make use of the Metropolis-type walks due to Nonaka et al. (2010) to provide a faster solution to the $S$-$T$-connectivity problem in undirected graphs (USTCON). As our main result, we propose a family of randomized…

数据结构与算法 · 计算机科学 2012-07-11 Adrian Kosowski

Graphs are playing a crucial role in different fields since they are powerful tools to unveil intrinsic relationships among signals. In many scenarios, an accurate graph structure representing signals is not available at all and that…

机器学习 · 计算机科学 2021-05-14 Xiang Zhang , Yinfei Xu , Qinghe Liu , Zhicheng Liu , Jian Lu , Qiao Wang

We consider sampling from a Gibbs distribution by evolving a finite number of particles using a particular score estimator rather than Brownian motion. To accelerate the particles, we consider a second-order score-based ODE, similar to…

机器学习 · 统计学 2026-01-19 Hong Ye Tan , Stanley Osher , Wuchen Li

In non-linear estimations, it is common to assess sampling uncertainty by bootstrap inference. For complex models, this can be computationally intensive. This paper combines optimization with resampling: turning stochastic optimization into…

计量经济学 · 经济学 2022-05-09 Jean-Jacques Forneron

In this paper we study the behavior of a continuous time random walk (CTRW) on a stationary and ergodic time varying dynamic graph. We establish conditions under which the CTRW is a stationary and ergodic process. In general, the stationary…

社会与信息网络 · 计算机科学 2012-12-04 Daniel Figueiredo , Philippe Nain , Bruno Ribeiro , Edmundo de Souza e Silva , Don Towsley

How can we approximate sparse graphs and sequences of sparse graphs (with unbounded average degree)? We consider convergence in the first $k$ moments of the graph spectrum (equivalent to the numbers of closed $k$-walks) appropriately…

组合数学 · 数学 2022-02-07 Samantha Petti , Santosh S. Vempala

Conformal prediction is an emerging technique for uncertainty quantification that constructs prediction sets guaranteed to contain the true label with a predefined probability. Recent work develops online conformal prediction methods that…

机器学习 · 计算机科学 2025-10-17 Huajun Xi , Kangdao Liu , Hao Zeng , Wenguang Sun , Hongxin Wei

Reinforcement-learning (RL) agents often struggle when deployed from simulation to the real-world. A dominant strategy for reducing the sim-to-real gap is domain randomization (DR) which trains the policy across many simulators produced by…

机器学习 · 计算机科学 2026-02-05 Arnaud Fickinger , Abderrahim Bendahi , Stuart Russell

Online continual learning (OCL) methods adapt to changing environments without forgetting past knowledge. Similarly, online time series forecasting (OTSF) is a real-world problem where data evolve in time and success depends on both rapid…

机器学习 · 计算机科学 2026-01-21 Edoardo Urettini , Daniele Atzeni , Ioanna-Yvonni Tsaknaki , Antonio Carta

In this work, we study the robust subspace tracking (RST) problem and obtain one of the first two provable guarantees for it. The goal of RST is to track sequentially arriving data vectors that lie in a slowly changing low-dimensional…

信息论 · 计算机科学 2018-07-10 Praneeth Narayanamurthy , Namrata Vaswani

Dense subgraphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Computing them however is generally expensive. We propose here a measure of similarities between…

无序系统与神经网络 · 物理学 2014-10-13 Matthieu Latapy , Pascal Pons

Robust motion planning entails computing a global motion plan that is safe under all possible uncertainty realizations, be it in the system dynamics, the robot's initial position, or with respect to external disturbances. Current approaches…

机器人学 · 计算机科学 2022-11-02 Albert Wu , Thomas Lew , Kiril Solovey , Edward Schmerling , Marco Pavone

We investigate network exploration by random walks defined via stationary and adaptive transition probabilities on large graphs. We derive an exact formula valid for arbitrary graphs and arbitrary walks with stationary transition…

统计力学 · 物理学 2015-05-19 A. Asztalos , Z. Toroczkai