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Data compression capability of "Compressed sensing (sampling)" in signal discretization is numerically evaluated and found to be far from the theoretical upper bound defined by signal sparsity. It is shown that, for the cases when ordinary…

Optics · Physics 2015-02-10 L. Yaroslavsky

Agents acting in the natural world aim at selecting appropriate actions based on noisy and partial sensory observations. Many behaviors leading to decision mak- ing and action selection in a closed loop setting are naturally phrased within…

Machine Learning · Statistics 2014-06-30 Alex Susemihl , Ron Meir , Manfred Opper

We obtain an information theoretic criterion for the feasibility of assembling diffraction signals from noisy tomographs when the positions of the tomographs within the signal are unknown. For shot-noise limited data, the minimum number of…

Computational Physics · Physics 2007-09-26 Veit Elser

A common practice in building NLP datasets, especially using crowd-sourced annotations, involves obtaining multiple annotator judgements on the same data instances, which are then flattened to produce a single "ground truth" label or score,…

Computation and Language · Computer Science 2021-10-13 Vinodkumar Prabhakaran , Aida Mostafazadeh Davani , Mark Díaz

This paper discusses the challenge when evaluating multi-objective optimisation algorithms under noise, and argues that decision maker preferences need to be taken into account. It demonstrates that commonly used performance metrics are…

Optimization and Control · Mathematics 2023-03-01 Juergen Branke

The main approaches for the formation of generalized conclusions about operation quality of complex hierarchical network systems are analized. Advantages and drawbacks of the "weakest" element method and a weighted linear aggregation method…

Systems and Control · Computer Science 2016-03-24 Olexandr Polishchuk

Extracting noisy or incorrectly labeled samples from a labeled dataset with hard/difficult samples is an important yet under-explored topic. Two general and often independent lines of work exist, one focuses on addressing noisy labels, and…

Machine Learning · Computer Science 2023-07-21 Mahsa Forouzesh , Patrick Thiran

To achieve state-of-the-art performance, one still needs to train NER models on large-scale, high-quality annotated data, an asset that is both costly and time-intensive to accumulate. In contrast, real-world applications often resort to…

Computation and Language · Computer Science 2023-10-26 Zhendong Chu , Ruiyi Zhang , Tong Yu , Rajiv Jain , Vlad I Morariu , Jiuxiang Gu , Ani Nenkova

We analyze the problem of estimating a signal from multiple measurements on a $\mbox{group action channel}$ that linearly transforms a signal by a random group action followed by a fixed projection and additive Gaussian noise. This channel…

Information Theory · Computer Science 2018-01-16 Emmanuel Abbe , João M. Pereira , Amit Singer

The construction of most supervised learning datasets revolves around collecting multiple labels for each instance, then aggregating the labels to form a type of "gold-standard". We question the wisdom of this pipeline by developing a…

Statistics Theory · Mathematics 2024-06-06 Chen Cheng , Hilal Asi , John Duchi

The growing concerns over desertification have spurred research into technologies aimed at acquiring water from non-traditional sources such as dew, fog, and water vapor. Some of the most promising developments have focused on improving…

AI systems typically make decisions and find patterns in data based on the computation of aggregate and specifically sum functions, expressed as queries, on data's attributes. This computation can become costly or even inefficient when…

Databases · Computer Science 2014-06-11 Foto N. Afrati , Dimitris Fotakis , Angelos Vasilakopoulos

Detection of sparse signals arises in a wide range of modern scientific studies. The focus so far has been mainly on Gaussian mixture models. In this paper, we consider the detection problem under a general sparse mixture model and obtain…

Information Theory · Computer Science 2012-11-13 T. Tony Cai , Yihong Wu

Non-adaptive group testing refers to the problem of inferring a sparse set of defectives from a larger population using the minimum number of simultaneous pooled tests. Recent positive results for noiseless group testing have motivated the…

Information Theory · Computer Science 2021-07-16 Gabriel Arpino , Nicolò Grometto , Afonso S. Bandeira

The quality of generative models depends on the quality of the data they are trained on. Creating large-scale, high-quality datasets is often expensive and sometimes impossible, e.g. in certain scientific applications where there is no…

Machine Learning · Computer Science 2024-11-06 Giannis Daras , Yeshwanth Cherapanamjeri , Constantinos Daskalakis

We consider the group testing problem, in the case where the items are defective independently but with non-constant probability. We introduce and analyse an algorithm to solve this problem by grouping items together appropriately. We give…

Information Theory · Computer Science 2015-02-04 Tom Kealy , Oliver Johnson , Robert Piechocki

In the first part of the series papers, we set out to answer the following question: given specific restrictions on a set of samplers, what kind of signal can be uniquely represented by the corresponding samples attained, as the foundation…

Information Theory · Computer Science 2021-08-25 Hanshen Xiao , Yaowen Zhang , Guoqiang Xiao

Prediction polling is an increasingly popular form of crowdsourcing in which multiple participants estimate the probability or magnitude of some future event. These estimates are then aggregated into a single forecast. Historically,…

Methodology · Statistics 2016-04-25 Ville A. Satopää , Shane T. Jensen , Robin Pemantle , Lyle H. Ungar

We discuss the approach to estimate aggregation and adaptive estimation based upon (nearly optimal) testing of convex hypotheses. We show that in the situation where the observations stem from {\em simple observation schemes} and where set…

Statistics Theory · Mathematics 2021-07-19 Anatoli Juditsky , Arkadi Nemirovski

We present theory and experiment for the task of discriminating two nonorthogonal states, given multiple copies. We implement several local measurement schemes, on both pure states and states mixed by depolarizing noise. We find that…

Quantum Physics · Physics 2009-12-04 B. L. Higgins , B. M. Booth , A. C. Doherty , S. D. Bartlett , H. M. Wiseman , G. J. Pryde
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