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Variable selection in high-dimensional space characterizes many contemporary problems in scientific discovery and decision making. Many frequently-used techniques are based on independence screening; examples include correlation ranking…

Methodology · Statistics 2008-12-18 Jianqing Fan , Richard Samworth , Yichao Wu

This paper is concerned with the problems of interaction screening and nonlinear classification in a high-dimensional setting. We propose a two-step procedure, IIS-SQDA, where in the first step an innovated interaction screening (IIS)…

Machine Learning · Statistics 2015-06-04 Yingying Fan , Yinfei Kong , Daoji Li , Zemin Zheng

The maximal independent set (MIS) is one of the most fundamental problems in distributed computing, and it has been studied intensively for over four decades. This paper focuses on the MIS problem in the Radio Network model, a standard…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-10 Dominick Banasik , Varsha Dani , Fabien Dufoulon , Aayush Gupta , Thomas P. Hayes , Gopal Pandurangan

This paper investigates statistical inference for noisy matrix completion in a semi-supervised model when auxiliary covariates are available. The model consists of two parts. One part is a low-rank matrix induced by unobserved latent…

Methodology · Statistics 2024-03-27 Shujie Ma , Po-Yao Niu , Yichong Zhang , Yinchu Zhu

One of the most difficult parts of motion planning in configuration space is ensuring a trajectory does not collide with task-space obstacles in the environment. Generating regions that are convex and collision free in configuration space…

Robotics · Computer Science 2023-03-28 Mark Petersen , Russ Tedrake

We consider integer and linear programming problems for which the linear constraints exhibit a (recursive) block-structure: The problem decomposes into independent and efficiently solvable sub-problems if a small number of constraints is…

Computational Complexity · Computer Science 2020-08-04 Jana Cslovjecsek , Friedrich Eisenbrand , Christoph Hunkenschröder , Lars Rohwedder , Robert Weismantel

In this work, a physics-informed neural networks (PINNs) based algorithm is used for simulation of nonlinear 1D and 2D Burgers' type models. This scheme relies on a neural network built to approximate the problem solution and use a trial…

Machine Learning · Computer Science 2025-06-17 Ajeet Singh , Ram Jiwari , Vikram , Ujjwal Saini

A two-terminal distributed binary hypothesis testing problem over a noisy channel is studied. The two terminals, called the observer and the decision maker, each has access to $n$ independent and identically distributed samples, denoted by…

Other Statistics · Statistics 2023-02-07 Sreejith Sreekumar , Deniz Gündüz

Neural operators have been applied in various scientific fields, such as solving parametric partial differential equations, dynamical systems with control, and inverse problems. However, challenges arise when dealing with input functions…

Numerical Analysis · Mathematics 2023-10-31 Zecheng Zhang , Christian Moya , Lu Lu , Guang Lin , Hayden Schaeffer

Most graphs in real life keep changing with time. These changes can be in the form of insertion or deletion of edges or vertices. Such rapidly changing graphs motivate us to study dynamic graph algorithms. However, three important graph…

Data Structures and Algorithms · Computer Science 2018-08-07 Manoj Gupta , Shahbaz Khan

Reasoning on large and complex real-world models is a computationally difficult task, yet one that is required for effective use of many AI applications. A plethora of inference algorithms have been developed that work well on specific…

Artificial Intelligence · Computer Science 2016-06-13 Avi Pfeffer , Brian Ruttenberg , William Kretschmer

This paper considers the problem of learning temporal task specifications, e.g. automata and temporal logic, from expert demonstrations. Task specifications are a class of sparse memory augmented rewards with explicit support for temporal…

Artificial Intelligence · Computer Science 2023-04-25 Marcell Vazquez-Chanlatte , Ameesh Shah , Gil Lederman , Sanjit A. Seshia

The need to explore and/or optimize expensive simulators with many qualitative factors arises in broad scientific and engineering problems. Our motivating application lies in path planning - the exploration of feasible paths for navigation,…

Applications · Statistics 2025-01-28 Yen-Chun Liu , Simon Mak

AI agents increasingly excel at generating, testing, and refining code. However, they fall short on tasks requiring formal guarantees of full coverage that testing alone cannot provide. Distributed systems are a prime example: properties…

Existing Text Image Forgery Localization (T-IFL) methods often suffer from poor generalization due to the limited scale of real-world datasets and the distribution gap caused by synthetic data that fails to capture the complexity of…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Zeqin Yu , Haotao Xie , Jian Zhang , Jiangqun Ni , Wenkan Su , Jiwu Huang

The rapidly growing size of deep neural network (DNN) models and datasets has given rise to a variety of distribution strategies such as data, tensor-model, pipeline parallelism, and hybrid combinations thereof. Each of these strategies…

Machine Learning · Computer Science 2021-11-11 Keshav Santhanam , Siddharth Krishna , Ryota Tomioka , Tim Harris , Matei Zaharia

This paper analyzes the computational complexity of validated interval methods for uncertain nonlinear systems and steady-state enclosure. Interval analysis produces guaranteed enclosures that account for uncertainty and round-off, but its…

Data Structures and Algorithms · Computer Science 2026-05-13 Rudra Prakash , S. Janardhanan , Shaunak Sen

This paper studies the problem of, given the structure of a linear-time invariant system and a set of possible inputs, finding the smallest subset of input vectors that ensures system's structural controllability. We refer to this problem…

Optimization and Control · Mathematics 2014-11-04 Sergio Pequito , Soummya Kar , A. Pedro Aguiar

We consider the problem of estimation of a function by a system consisting of two agents and a fusion center. The two agents collect data comprising of samples of an independent variable and the corresponding value of a dependent variable.…

Systems and Control · Electrical Eng. & Systems 2024-03-18 Aneesh Raghavan , Karl Henrik Johansson

Many approaches for verifying input-output properties of neural networks have been proposed recently. However, existing algorithms do not scale well to large networks. Recent work in the field of model compression studied binarized neural…

Machine Learning · Computer Science 2022-03-15 Christopher Lazarus , Mykel J. Kochenderfer