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In this paper we consider the uniformity testing problem for high-dimensional discrete distributions (multinomials) under sparse alternatives. More precisely, we derive sharp detection thresholds for testing, based on $n$ samples, whether a…

Statistics Theory · Mathematics 2022-02-17 Bhaswar B. Bhattacharya , Rajarshi Mukherjee

Group testing (GT) is the Boolean version of spare signal recovery and, due to its simplicity, a marketplace for ideas that can be brought to bear upon related problems, such as heavy hitters, compressed sensing, and multiple access…

Information Theory · Computer Science 2024-04-08 Venkatesan Guruswami , Hsin-Po Wang

We consider the convolution model where i.i.d. random variables $X_i$ having unknown density $f$ are observed with additive i.i.d. noise, independent of the $X$'s. We assume that the density $f$ belongs to either a Sobolev class or a class…

Statistics Theory · Mathematics 2009-09-29 Cristina Butucea

Consider $n$ items, each of which is characterised by one of $d+1$ possible features in $\{0, \ldots, d\}$. We study the inference task of learning these types by queries on subsets, or pools, of the items that only reveal a form of…

Information Theory · Computer Science 2022-02-10 Max Hahn-Klimroth , Noela Müller

An additive noise channel is considered, in which the distribution of the noise is nonparametric and unknown. The problem of learning encoders and decoders based on noise samples is considered. For uncoded communication systems, the problem…

Information Theory · Computer Science 2021-11-17 Nir Weinberger

The design and implementation of error correcting codes has long been informed by two fundamental results: Shannon's 1948 capacity theorem, which established that long codes use noisy channels most efficiently; and Berlekamp, McEliece, and…

Information Theory · Computer Science 2024-10-30 Ken R. Duffy , Muriel Médard , Wei An

Denoising methods require some assumptions about the signal of interest and the noise. While most denoising procedures require some knowledge about the noise level, which may be unknown in practice, here we assume that the signal expansion…

Information Theory · Computer Science 2015-06-18 Manuel Moussallam , Alexandre Gramfort , Laurent Daudet , Gaël Richard

In combinatorial group testing problems Questioner needs to find a defective element $x\in [n]$ by testing subsets of $[n]$. In [18] the authors introduced a new model, where each element knows the answer for those queries that contain it…

Discrete Mathematics · Computer Science 2017-05-25 Dániel Gerbner , Máté Vizer

We present a method for training a neural network to perform image denoising without access to clean training examples or access to paired noisy training examples. Our method requires only a single noisy realization of each training example…

Image and Video Processing · Electrical Eng. & Systems 2019-10-29 Nick Moran , Dan Schmidt , Yu Zhong , Patrick Coady

Large datasets in NLP suffer from noisy labels, due to erroneous automatic and human annotation procedures. We study the problem of text classification with label noise, and aim to capture this noise through an auxiliary noise model over…

Computation and Language · Computer Science 2022-06-22 Siddhant Garg , Goutham Ramakrishnan , Varun Thumbe

In multistage group testing, the tests within the same stage are considered nonadaptive, while those conducted across different stages are adaptive. Specifically, when the pools within the same stage are disjoint, meaning that the entire…

Information Theory · Computer Science 2025-07-10 Guojiang Shao

The goal of a denoising algorithm is to reconstruct a signal from its noise-corrupted observations. Perfect reconstruction is seldom possible and performance is measured under a given fidelity criterion. In a recent work, the authors…

Information Theory · Computer Science 2009-11-11 George Gemelos , Styrmir Sigurjonsson , Tsachy Weissman

The success of Deep Neural Network (DNN) models significantly depends on the quality of provided annotations. In medical image segmentation, for example, having multiple expert annotations for each data point is common to minimize…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Asma Ahmed Hashmi , Aigerim Zhumabayeva , Nikita Kotelevskii , Artem Agafonov , Mohammad Yaqub , Maxim Panov , Martin Takáč

The standard empirical risk minimization (ERM) can underperform on certain minority groups (i.e., waterbirds in lands or landbirds in water) due to the spurious correlation between the input and its label. Several studies have improved the…

Machine Learning · Computer Science 2022-12-15 Dongpin Oh , Dae Lee , Jeunghyun Byun , Bonggun Shin

Deep neural networks (DNNs) have been shown to over-fit a dataset when being trained with noisy labels for a long enough time. To overcome this problem, we present a simple and effective method self-ensemble label filtering (SELF) to…

Computer Vision and Pattern Recognition · Computer Science 2019-10-07 Duc Tam Nguyen , Chaithanya Kumar Mummadi , Thi Phuong Nhung Ngo , Thi Hoai Phuong Nguyen , Laura Beggel , Thomas Brox

This paper considers the problem of estimating an unknown high dimensional signal from noisy linear measurements, {when} the signal is assumed to possess a \emph{group-sparse} structure in a {known,} fixed dictionary. We consider signals…

Information Theory · Computer Science 2018-05-22 Mojtaba Kadkhodaie Elyaderani , Swayambhoo Jain , Jeffrey Druce , Stefano Gonella , Jarvis Haupt

Precise detection of tiny objects in remote sensing imagery remains a significant challenge due to their limited visual information and frequent occurrence within scenes. This challenge is further exacerbated by the practical burden and…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Haoran Zhu , Chang Xu , Wen Yang , Ruixiang Zhang , Yan Zhang , Gui-Song Xia

The drastic increase of data quantity often brings the severe decrease of data quality, such as incorrect label annotations, which poses a great challenge for robustly training Deep Neural Networks (DNNs). Existing learning \mbox{methods}…

Machine Learning · Computer Science 2022-03-18 Qizhou Wang , Bo Han , Tongliang Liu , Gang Niu , Jian Yang , Chen Gong

Recently, deep learning models have been widely applied in program understanding tasks, and these models achieve state-of-the-art results on many benchmark datasets. A major challenge of deep learning for program understanding is that the…

Software Engineering · Computer Science 2024-01-02 Wenhan Wang , Yanzhou Li , Anran Li , Jian Zhang , Wei Ma , Yang Liu

We propose robust methods to identify underlying Partial Differential Equation (PDE) from a given set of noisy time dependent data. We assume that the governing equation is a linear combination of a few linear and nonlinear differential…

Numerical Analysis · Mathematics 2023-03-03 Yuchen He , Sung Ha Kang , Wenjing Liao , Hao Liu , Yingjie Liu
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