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The Gauss-Newton matrix is widely viewed as a positive semidefinite approximation of the Hessian, yet mounting empirical evidence shows that Gauss-Newton descent outperforms Newton's method. We adopt a function space perspective to analyze…

Machine Learning · Computer Science 2026-05-13 Maricela Best McKay , Nathan P. Lawrence , Brian Wetton , R. Bhushan Gopaluni

Despite being widely used, face recognition models suffer from bias: the probability of a false positive (incorrect face match) strongly depends on sensitive attributes such as the ethnicity of the face. As a result, these models can…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Tiago Salvador , Stephanie Cairns , Vikram Voleti , Noah Marshall , Adam Oberman

This article introduces exact testing procedures on the mean of a Gaussian process $X$ derived from the outcomes of $\ell_1$-minimization over the space of complex valued measures. The process $X$ can be thought as the sum of two terms:…

Statistics Theory · Mathematics 2018-07-03 Jean-Marc Azaïs , Yohann De Castro , Stéphane Mourareau

Qubit readout is commonly performed by thresholding a collection of analog detector signals to obtain a sequence of single-shot bit values. The intrinsic irreversibility of the mapping from analog to digital signals discards soft…

Quantum Physics · Physics 2014-12-25 B. D'Anjou , W. A. Coish

Error mitigation techniques are crucial to achieving near-term quantum advantage. Classical post-processing of quantum computation outcomes is a popular approach for error mitigation, which includes methods such as Zero Noise Extrapolation,…

Quantum Physics · Physics 2026-05-01 Maksym Prodius , Piotr Czarnik , Michael McKerns , Andrew T. Sornborger , Lukasz Cincio

Reinforcement learning (RL) policies deployed in real-world environments must remain reliable under adversarial perturbations. At the same time, modern deep RL agents are heavily over-parameterized, raising costs and fragility concerns.…

Machine Learning · Computer Science 2025-10-16 James Pedley , Benjamin Etheridge , Stephen J. Roberts , Francesco Quinzan

We present BayesQ, an uncertainty-guided post-training quantization framework that is the first to optimize quantization under the posterior expected loss. BayesQ fits a lightweight Gaussian posterior over weights (diagonal Laplace by…

Machine Learning · Computer Science 2025-11-13 Ismail Lamaakal , Chaymae Yahyati , Yassine Maleh , Khalid El Makkaoui , Ibrahim Ouahbi

We propose a novel algorithm, termed soft quasi-Newton (soft QN), for optimization in the presence of bounded noise. Traditional quasi-Newton algorithms are vulnerable to such perturbations. To develop a more robust quasi-Newton method, we…

Optimization and Control · Mathematics 2024-03-06 Erik Berglund , Jiaojiao Zhang , Mikael Johansson

We consider fixed effects binary choice models with a fixed number of periods $T$ and regressors without a large support. If the time-varying unobserved terms are i.i.d. with known distribution $F$, \cite{chamberlain2010} shows that the…

Econometrics · Economics 2022-09-30 Laurent Davezies , Xavier D'Haultfoeuille , Martin Mugnier

Testing conditional independence has many applications, such as in Bayesian network learning and causal discovery. Different test methods have been proposed. However, existing methods generally can not work when only discretized…

Machine Learning · Statistics 2025-03-19 Boyang Sun , Yu Yao , Guang-Yuan Hao , Yumou Qiu , Kun Zhang

The detection problem in statistical signal processing can be succinctly formulated: Given m (possibly) signal bearing, n-dimensional signal-plus-noise snapshot vectors (samples) and N statistically independent n-dimensional noise-only…

Information Theory · Computer Science 2009-02-26 N. Raj Rao , Jack W. Silverstein

Practical implementations of Gaussian smoothing algorithms have received a great deal of attention in the last 60 years. However, almost all work focuses on estimating complete time series (''fixed-interval smoothing'', $\mathcal{O}(K)$…

Numerical Analysis · Mathematics 2025-01-24 Nicholas Krämer

This paper proposes a specification test for the conventional distributional assumptions of error terms in binary choice models, focusing on its tail properties. Based on extreme value theory, we first establish that the tail index of the…

Econometrics · Economics 2026-03-31 Ting Ji , Laura Liu , Yulong Wang , Jiahe Xing

Data-trained predictive models see widespread use, but for the most part they are used as black boxes which output a prediction or score. It is therefore hard to acquire a deeper understanding of model behavior, and in particular how…

The Fisher randomization test (FRT) is appropriate for any test statistic, under a sharp null hypothesis that can recover all missing potential outcomes. However, it is often sought after to test a weak null hypothesis that the treatment…

Methodology · Statistics 2020-11-09 Jason Wu , Peng Ding

The heightened emphasis on the regulation of deep generative models, propelled by escalating concerns pertaining to privacy and compliance with regulatory frameworks, underscores the imperative need for precise control mechanisms over these…

Machine Learning · Computer Science 2024-06-21 Subhodip Panda , Prathosh AP

We consider an affine process $X$ which is only observed up to an additive white noise, and we ask for its law, for some time $t > 0 $, conditional on all observations up to this time $ t $. This is a general, possibly high dimensional…

Probability · Mathematics 2018-01-25 Lukas Gonon , Josef Teichmann

Identification-robust hypothesis tests are commonly based on the continuous updating GMM objective function. When the number of moment conditions grows proportionally with the sample size, the large-dimensional weighting matrix prohibits…

Econometrics · Economics 2025-10-10 Tom Boot , Johannes W. Ligtenberg

In feature selection problems, knockoffs are synthetic controls for the original features. Employing knockoffs allows analysts to use nearly any variable importance measure or "feature statistic" to select features while rigorously…

Methodology · Statistics 2024-10-02 Asher Spector , William Fithian

We consider the robust linear regression model $\boldsymbol{y} = X\beta^* + \boldsymbol{\eta}$, where an adversary oblivious to the design $X \in \mathbb{R}^{n \times d}$ may choose $\boldsymbol{\eta}$ to corrupt all but a (possibly…

Machine Learning · Computer Science 2022-06-17 Hongjie Chen , Tommaso d'Orsi