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In recent years, there has been an explosion of research into developing more robust deep neural networks against adversarial examples. Adversarial training appears as one of the most successful methods. To deal with both the robustness…

机器学习 · 计算机科学 2023-03-21 Gaojie Jin , Xinping Yi , Dengyu Wu , Ronghui Mu , Xiaowei Huang

In statistical prediction, classical approaches for model selection and model evaluation based on covariance penalties are still widely used. Most of the literature on this topic is based on what we call the "Fixed-X" assumption, where…

统计方法学 · 统计学 2017-06-13 Saharon Rosset , Ryan J. Tibshirani

Causal effect estimation from observational data is an important and much studied research topic. The instrumental variable (IV) and local causal discovery (LCD) patterns are canonical examples of settings where a closed-form expression…

机器学习 · 统计学 2018-09-19 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

Empirical economists are often deterred from the application of fixed effects binary choice models mainly for two reasons: the incidental parameter problem and the computational challenge even in moderately large panels. Using the example…

计量经济学 · 经济学 2020-10-27 Daniel Czarnowske , Amrei Stammann

We are developing a general framework for using learned Bayesian models for decision-theoretic control of search and reasoningalgorithms. We illustrate the approach on the specific task of controlling both general and domain-specific…

人工智能 · 计算机科学 2013-01-14 Eric J. Horvitz , Yongshao Ruan , Carla P. Gomes , Henry Kautz , Bart Selman , David Maxwell Chickering

It is a common saying that testing for conditional independence, i.e., testing whether whether two random vectors $X$ and $Y$ are independent, given $Z$, is a hard statistical problem if $Z$ is a continuous random variable (or vector). In…

统计理论 · 数学 2022-03-25 Rajen D. Shah , Jonas Peters

The traditional framework for feature selection treats all features as costing the same amount. However, in reality, a scientist often has considerable discretion regarding which variables to measure, and the decision involves a tradeoff…

统计方法学 · 统计学 2023-02-14 Guo Yu , Daniela Witten , Jacob Bien

When facing time-variant problems in analog computing, the desirable RNN design requires finite-time convergence and robustness with respect to various types of uncertainties, due to the time-variant nature and difficulties in…

系统与控制 · 电气工程与系统科学 2024-11-26 Mingxuan Sun , Xing Li , Han Wang

Denoising by frame thresholding is one of the most basic and efficient methods for recovering a discrete signal or image from data that are corrupted by additive Gaussian white noise. The basic idea is to select a frame of analyzing…

数值分析 · 数学 2015-01-21 Markus Haltmeier , Axel Munk

In this paper, we consider the problem of learning models with a latent factor structure. The focus is to find what is possible and what is impossible if the usual strong factor condition is not imposed. We study the minimax rate and…

统计理论 · 数学 2019-11-07 Yinchu Zhu

It is a common phenomenon that for high-dimensional and nonparametric statistical models, rate-optimal estimators balance squared bias and variance. Although this balancing is widely observed, little is known whether methods exist that…

统计理论 · 数学 2023-03-21 Alexis Derumigny , Johannes Schmidt-Hieber

Discrete and especially binary random variables occur in many machine learning models, notably in variational autoencoders with binary latent states and in stochastic binary networks. When learning such models, a key tool is an estimator of…

机器学习 · 计算机科学 2021-10-18 Alexander Shekhovtsov

Deciding feasibility of large systems of linear equations and inequalities is one of the most fundamental algorithmic tasks. However, due to data inaccuracies or modeling errors, in practical applications one often faces linear systems that…

数据结构与算法 · 计算机科学 2022-09-07 Kristóf Bérczi , Alexander Göke , Lydia Mirabel Mendoza-Cadena , Matthias Mnich

In data analysis problems where we are not able to rely on distributional assumptions, what types of inference guarantees can still be obtained? Many popular methods, such as holdout methods, cross-validation methods, and conformal…

统计理论 · 数学 2022-05-31 Yonghoon Lee , Rina Foygel Barber

Randomized smoothing is a technique for providing provable robustness guarantees against adversarial attacks while making minimal assumptions about a classifier. This method relies on taking a majority vote of any base classifier over…

机器学习 · 计算机科学 2023-05-09 Ambar Pal , Jeremias Sulam

Given $d \ge 1$, let $(A_i)_{i\ge 1}$ be a sequence of random $d\times d$ real matrices and $Q$ be a random vector in $\mathbb{R}^d$. We consider fixed points of multivariate smoothing transforms, i.e. random variables $X\in \mathbb{R}^d$…

概率论 · 数学 2016-02-12 Dariusz Buraczewski , Sebastian Mentemeier

Suppose that a data analyst wishes to report the results of a least squares linear regression only if the overall null hypothesis, $H_0^{1:p}: \beta_1= \beta_2 = \ldots = \beta_p=0$, is rejected. This practice, which we refer to as…

统计方法学 · 统计学 2026-05-12 Olivia McGough , Daniela Witten , Daniel Kessler

Text classifiers have promising applications in high-stake tasks such as resume screening and content moderation. These classifiers must be fair and avoid discriminatory decisions by being invariant to perturbations of sensitive attributes…

计算与语言 · 计算机科学 2023-03-17 Florian E. Dorner , Momchil Peychev , Nikola Konstantinov , Naman Goel , Elliott Ash , Martin Vechev

In practical situations, most experimental designs often yield unbalanced data which have different numbers of observations per unit because of cost constraints, or missing data, etc. In this paper, we consider the Bayesian approach to…

统计方法学 · 统计学 2012-05-22 Min Wang , Xiaoqian Sun

Fairwashing refers to the risk that an unfair black-box model can be explained by a fairer model through post-hoc explanation manipulation. In this paper, we investigate the capability of fairwashing attacks by analyzing their…

机器学习 · 计算机科学 2021-11-04 Ulrich Aïvodji , Hiromi Arai , Sébastien Gambs , Satoshi Hara