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We demonstrate that the algorithmic information content of a system is deeply connected to its potential dynamics, thus affording an avenue for moving systems in the information-theoretic space and controlling them in the phase space. To…

Other Quantitative Biology · Quantitative Biology 2018-04-06 Hector Zenil , Narsis A. Kiani , Francesco Marabita , Yue Deng , Szabolcs Elias , Angelika Schmidt , Gordon Ball , Jesper Tegnér

In covariate-adaptive or response-adaptive randomization, the treatment assignment and outcome can be correlated. Under this situation, re-randomization tests are a straightforward and attractive method to provide valid statistical…

Methodology · Statistics 2023-03-14 Yilong Zhang , Yujie Zhao , Yiwen Luo

Robust principal component analysis (RPCA) has drawn significant attentions due to its powerful capability in recovering low-rank matrices as well as successful appplications in various real world problems. The current state-of-the-art…

Machine Learning · Computer Science 2019-04-17 Chong Peng , Chenglizhao Chen , Zhao Kang , Jianbo Li , Qiang Cheng

In many geoscientific applications, multiple noisy observations of different origin need to be combined to improve the reconstruction of a common underlying quantity. This naturally leads to multi-parameter models for which adequate…

Numerical Analysis · Mathematics 2015-07-09 C. Gerhards , S. Pereverzyev , P. Tkachenko

Many data-analysis problems involve large dense matrices that describe the covariance of stationary noise processes; the computational cost of inverting these matrices, or equivalently of solving linear systems that contain them, is often a…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Rutger van Haasteren , Michele Vallisneri

Iterative reconstruction technique's ability to reduce radiation exposure by using fewer projections has attracted significant attention. However, these methods typically require a precise tuning of several hyperparameters, which can have a…

We study the basic problem of robust subspace recovery. That is, we assume a data set that some of its points are sampled around a fixed subspace and the rest of them are spread in the whole ambient space, and we aim to recover the fixed…

Machine Learning · Statistics 2015-03-19 Teng Zhang , Gilad Lerman

The growing field of large-scale time domain astronomy requires methods for probabilistic data analysis that are computationally tractable, even with large datasets. Gaussian Processes are a popular class of models used for this purpose…

Instrumentation and Methods for Astrophysics · Physics 2017-11-15 Daniel Foreman-Mackey , Eric Agol , Sivaram Ambikasaran , Ruth Angus

In preparing the way for the Square Kilometre Array and its pathfinders, there is a pressing need to begin probing the transient sky in a fully robotic fashion using the current generation of radio telescopes. Effective exploitation of such…

Instrumentation and Methods for Astrophysics · Physics 2015-08-26 Tim D. Staley , Gemma E. Anderson

In most constraint programming systems, a limited number of search engines is offered while the programming of user-customized search algorithms requires low-level efforts, which complicates the deployment of such algorithms. To alleviate…

Programming Languages · Computer Science 2016-02-05 Yong Lin , Martin Henz

When combining data sets to perform parameter inference, the results will be unreliable if there are unknown systematics in data or models. Here we introduce a flexible methodology, BACCUS: BAyesian Conservative Constraints and Unknown…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 José Luis Bernal , John A. Peacock

The last decades have seen the development of quantum machine learning, stemming from the intersection of quantum computing and machine learning. This field is particularly promising for the design of alternative quantum (or quantum…

It is common to encounter situations where one must solve a sequence of similar computational problems. Running a standard algorithm with worst-case runtime guarantees on each instance will fail to take advantage of valuable structure…

Machine Learning · Computer Science 2019-04-29 Daniel Alabi , Adam Tauman Kalai , Katrina Ligett , Cameron Musco , Christos Tzamos , Ellen Vitercik

Supervised learning requires a large amount of training data, limiting its application where labeled data is scarce. To compensate for data scarcity, one possible method is to utilize auxiliary tasks to provide additional supervision for…

Machine Learning · Computer Science 2020-10-19 Baifeng Shi , Judy Hoffman , Kate Saenko , Trevor Darrell , Huijuan Xu

We provide the first analysis of a non-trivial quantization scheme for compressed sensing measurements arising from structured measurements. Specifically, our analysis studies compressed sensing matrices consisting of rows selected at…

Information Theory · Computer Science 2017-02-16 Joe-Mei Feng , Felix Krahmer , Rayan Saab

In this overview article we will consider the deliberate restarting of algorithms, a meta technique, in order to improve the algorithm's performance, e.g., convergence rates or approximation guarantees. One of the major advantages is that…

Optimization and Control · Mathematics 2020-06-29 Sebastian Pokutta

Trace slicing is a widely used technique for execution trace analysis that is effectively used in program debugging, analysis and comprehension. In this paper, we present a backward trace slicing technique that can be used for the analysis…

Logic in Computer Science · Computer Science 2011-06-07 María Alpuente , Demis Ballis , Javier Espert , Daniel Romero

It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements and (2) that this can be done by constrained L1 minimization. In this paper, we…

Methodology · Statistics 2007-11-13 Emmanuel J. Candes , Michael B. Wakin , Stephen P. Boyd

This paper considers the problem of nonstationary process monitoring under frequently varying operating conditions. Traditional approaches generally misidentify the normal dynamic deviations as faults and thus lead to high false alarms.…

Systems and Control · Electrical Eng. & Systems 2021-01-22 Jingxin Zhang , Donghua Zhou , Maoyin Chen

The Atacama Large mm and sub-mm Array (ALMA) radio observatory is one of the world's largest astronomical projects. After the very successful conclusion of the first observation cycles Early Science Cycles 0 and 1, the ALMA project can…

Instrumentation and Methods for Astrophysics · Physics 2020-12-17 Dirk Petry , Baltasar Vila-Vilaro , Eric Villard , Shinya Komugi , Scott Schnee