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Making informed decisions about model adequacy has been an outstanding issue for regression models with discrete outcomes. Standard assessment tools for such outcomes (e.g. deviance residuals) often show a large discrepancy from the…

Methodology · Statistics 2021-04-02 Lu Yang

The deep-learning-based least squares method has shown successful results in solving high-dimensional non-linear partial differential equations (PDEs). However, this method usually converges slowly. To speed up the convergence of this…

Numerical Analysis · Mathematics 2025-07-10 Wenhan Gao , Chunmei Wang

Given a dataset of $n$ i.i.d. samples from an unknown distribution $P$, we consider the problem of generating a sample from a distribution that is close to $P$ in total variation distance, under the constraint of differential privacy (DP).…

Data Structures and Algorithms · Computer Science 2023-06-23 Badih Ghazi , Xiao Hu , Ravi Kumar , Pasin Manurangsi

Training high-quality instance segmentation models requires an abundance of labeled images with instance masks and classifications, which is often expensive to procure. Active learning addresses this challenge by striving for optimum…

Computer Vision and Pattern Recognition · Computer Science 2023-09-29 Ke Yu , Stephen Albro , Giulia DeSalvo , Suraj Kothawade , Abdullah Rashwan , Sasan Tavakkol , Kayhan Batmanghelich , Xiaoqi Yin

This paper addresses the problem of distributed learning of average belief with sequential observations, in which a network of $n>1$ agents aim to reach a consensus on the average value of their beliefs, by exchanging information only with…

Multiagent Systems · Computer Science 2018-11-20 Kaiqing Zhang , Yang Liu , Ji Liu , Mingyan Liu , Tamer Başar

Several well-studied models of access to data samples, including statistical queries, local differential privacy and low-communication algorithms rely on queries that provide information about a function of a single sample. (For example, a…

Machine Learning · Computer Science 2017-03-02 Vitaly Feldman , Badih Ghazi

This paper presents a distributed Koopman operator learning framework for modeling unknown nonlinear dynamics using sequential observations from multiple agents. Each agent estimates a local Koopman approximation based on lifted data and…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Ali Azarbahram , Shenyu Liu , Gian Paolo Incremona

In classic distributed graph problems, each instance on a graph specifies a space of feasible solutions (e.g. all proper ($\Delta+1$)-list-colorings of the graph), and the task of distributed algorithm is to construct a feasible solution…

Data Structures and Algorithms · Computer Science 2018-02-20 Weiming Feng , Yitong Yin

Probabilistic convolutional neural networks, which predict distributions of predictions instead of point estimates, led to recent advances in many areas of computer vision, from image reconstruction to semantic segmentation. Besides state…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Josef Lorenz Rumberger , Lisa Mais , Dagmar Kainmueller

We study the learnability of sums of independent integer random variables given a bound on the size of the union of their supports. For $\mathcal{A} \subset \mathbf{Z}_{+}$, a sum of independent random variables with collective support…

Data Structures and Algorithms · Computer Science 2020-11-13 Anindya De , Philip M. Long , Rocco A. Servedio

We initiate a systematic investigation of distribution testing in the framework of algorithmic replicability. Specifically, given independent samples from a collection of probability distributions, the goal is to characterize the sample…

Machine Learning · Computer Science 2025-07-04 Ilias Diakonikolas , Jingyi Gao , Daniel Kane , Sihan Liu , Christopher Ye

The $k$-of-$n$ testing problem involves performing $n$ independent tests sequentially, in order to determine whether/not at least $k$ tests pass. The objective is to minimize the expected cost of testing. This is a fundamental and…

Data Structures and Algorithms · Computer Science 2026-03-26 Rayen Tan , Viswanath Nagarajan

In this paper, we aim to design and analyze distributed Bayesian estimation algorithms for sensor networks. The challenges we address are to (i) derive a distributed provably-correct algorithm in the functional space of probability…

Machine Learning · Computer Science 2025-03-25 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

This paper studies the problem of steering the distribution of a discrete-time dynamical system from an initial distribution to a target distribution in finite time. The formulation is fully nonlinear, allowing the use of general control…

Systems and Control · Electrical Eng. & Systems 2024-09-05 George Rapakoulias , Panagiotis Tsiotras

Distributed systems have been widely used in practice to accomplish data analysis tasks of huge scales. In this work, we target on the estimation problem of generalized linear models on a distributed system with nonrandomly distributed…

Methodology · Statistics 2020-04-07 Feifei Wang , Danyang Huang , Yingqiu Zhu , Hansheng Wang

Estimation of the response probability distributions of computer simulators in the presence of randomness is a crucial task in many fields. However, achieving this task with guaranteed accuracy remains an open computational challenge,…

Computation · Statistics 2024-09-04 Chao Dang , Marcos A. Valdebenito , Nataly A. Manque , Jun Xu , Matthias G. R. Faes

Recently, there has been a growing interest in the problem of learning rich implicit models - those from which we can sample, but can not evaluate their density. These models apply some parametric function, such as a deep network, to a base…

Machine Learning · Statistics 2017-09-05 Josip Djolonga , Andreas Krause

Low-dimensional embedding, manifold learning, clustering, classification, and anomaly detection are among the most important problems in machine learning. The existing methods usually consider the case when each instance has a fixed,…

Machine Learning · Computer Science 2012-02-20 Barnabas Poczos , Liang Xiong , Jeff Schneider

Survival analysis aims at modeling the relationship between covariates and event occurrence with some untracked (censored) samples. In implementation, existing methods model the survival distribution with strong assumptions or in a discrete…

Machine Learning · Computer Science 2023-05-25 Yu Ling , Weimin Tan , Bo Yan

We consider the problem where an active Decision-Maker (DM) is tasked to identify the true hypothesis using as few samples as possible while maintaining accuracy. The DM collects samples according to its determined actions and knows the…

Information Theory · Computer Science 2025-10-01 George Vershinin , Asaf Cohen , Omer Gurewitz
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