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Explanation methods for machine learning models tend not to provide any formal guarantees and may not reflect the underlying decision-making process. In this work, we analyze stability as a property for reliable feature attribution methods.…

Machine Learning · Computer Science 2023-10-30 Anton Xue , Rajeev Alur , Eric Wong

Robustness to mutations and noise has been shown to evolve through stabilizing selection for optimal phenotypes in model gene regulatory networks. The ability to evolve robust mutants is known to depend on the network architecture. How do…

Molecular Networks · Quantitative Biology 2008-07-07 Volkan Sevim , Per Arne Rikvold

The problem of model selection arises in a number of contexts, such as compressed sensing, subset selection in linear regression, estimation of structures in graphical models, and signal denoising. This paper generalizes the notion of…

Information Theory · Computer Science 2018-03-06 Waheed U. Bajwa , Robert Calderbank , Sina Jafarpour

Learning stable dynamics from observed time-series data is an essential problem in robotics, physical modeling, and systems biology. Many of these dynamics are represented as an inputs-output system to communicate with the external…

Dynamical Systems · Mathematics 2023-01-18 Yuji Okamoto , Ryosuke Kojima

In addition to high accuracy, robustness is becoming increasingly important for machine learning models in various applications. Recently, much research has been devoted to improving the model robustness by training with noise…

Machine Learning · Computer Science 2021-03-30 Kun-Peng Ning , Lue Tao , Songcan Chen , Sheng-Jun Huang

Adaptive sampling results in dramatic improvements in the recovery of sparse signals in white Gaussian noise. A sequential adaptive sampling-and-refinement procedure called Distilled Sensing (DS) is proposed and analyzed. DS is a form of…

Statistics Theory · Mathematics 2010-05-31 Jarvis Haupt , Rui Castro , Robert Nowak

In real dialogue scenarios, as there are unknown input noises in the utterances, existing supervised slot filling models often perform poorly in practical applications. Even though there are some studies on noise-robust models, these works…

Computation and Language · Computer Science 2023-10-06 Jiachi Liu , Liwen Wang , Guanting Dong , Xiaoshuai Song , Zechen Wang , Zhengyang Wang , Shanglin Lei , Jinzheng Zhao , Keqing He , Bo Xiao , Weiran Xu

Feature selection is fundamental to robust data-centric AI, but most existing methods optimize predictive performance under a single data distribution. This often selects spurious features that fail under distribution shifts. Motivated by…

Machine Learning · Computer Science 2026-03-24 Arun Vignesh Malarkkan , Xinyuan Wang , Kunpeng Liu , Denghui Zhang , Yanjie Fu

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

Machine Learning · Computer Science 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

We consider stochastic convex optimization problems where the objective is an expectation over smooth functions. For this setting we suggest a novel gradient estimate that combines two recent mechanism that are related to notion of…

Machine Learning · Computer Science 2025-03-06 Tehila Dahan , Kfir Y. Levy

Noise is usually regarded as adversarial to extract the effective dynamics from time series, such that the conventional data-driven approaches usually aim at learning the dynamics by mitigating the noisy effect. However, noise can have a…

Adaptation and Self-Organizing Systems · Physics 2023-09-12 Zequn Lin , Zhaofan Lu , Zengru Di , Ying Tang

The representational capacity of modern neural network architectures has made them a default choice in various applications with high dimensional feature sets. But these high dimensional and potentially noisy features combined with the…

Machine Learning · Computer Science 2020-10-13 Vinay Varma K

The stability of Bernstein's characterization of Gaussian distributions is extended to vectors by utilizing characteristic functions. Stability is used to develop a soft doubling argument that establishes the optimality of Gaussian vectors…

Information Theory · Computer Science 2023-08-15 Mohammad Mahdi Mahvari , Gerhard Kramer

This paper considers learning the hidden causal network of a linear networked dynamical system (NDS) from the time series data at some of its nodes -- partial observability. The dynamics of the NDS are driven by colored noise that generates…

Machine Learning · Computer Science 2024-02-13 Augusto Santos , Diogo Rente , Rui Seabra , José M. F. Moura

A frequently occurring challenge in experimental and numerical observation is how to resolve features, such as spectral peaks - with center, width, height - and derivatives from measured data with unavoidable noise. Therefore, we develop a…

Data Analysis, Statistics and Probability · Physics 2025-10-03 Bert Mulder , Ad Lagendijk , Willem L. Vos

In this article, two types of methods from different perspectives based on spectral normalization are described for ensuring the stability of the system controlled by a neural network. The first one is that the L2 gain of the feedback…

Artificial Intelligence · Computer Science 2020-12-29 Ryoichi Takase , Nobuyuki Yoshikawa , Toshisada Mariyama , Takeshi Tsuchiya

We provide a simple framework for the study of parametric (multiplicative) noise, making use of scale parameters. We show that for a large class of stochastic differential equations increasing the multiplicative noise intensity surprisingly…

Statistical Mechanics · Physics 2024-11-22 Ewan T. Phillips , Benjamin Lindner , Holger Kantz

We undertake a detailed numerical study of the twin phenomena of stochastic and vibrational resonance in a discrete model system in the presence of bichromatic input signal. A two parameter cubic map is used as the model that combines the…

Chaotic Dynamics · Physics 2009-11-13 K. P. Harikrishnan , G. Ambika

In this paper, we consider voxel selection for functional Magnetic Resonance Imaging (fMRI) brain data with the aim of finding a more complete set of probably correlated discriminative voxels, thus improving interpretation of the discovered…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Yilun Wang , Junjie Zheng , Sheng Zhang , Xujun Duan , Huafu Chen

The effect of stochasticity, in the form of Gaussian white noise, in a predator-prey model with two distinct time-scales is presented. A supercritical singular Hopf bifurcation yields a Type II excitability in the deterministic model. We…

Dynamical Systems · Mathematics 2017-07-20 Susmita Sadhu