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When deploying deep learning models to a device, it is traditionally assumed that available computational resources (compute, memory, and power) remain static. However, real-world computing systems do not always provide stable resource…

Machine Learning · Computer Science 2021-10-11 Elvis Nunez , Maxwell Horton , Anish Prabhu , Anurag Ranjan , Ali Farhadi , Mohammad Rastegari

Many modern tools in machine learning and signal processing, such as sparse dictionary learning, principal component analysis (PCA), non-negative matrix factorization (NMF), $K$-means clustering, etc., rely on the factorization of a matrix…

Machine Learning · Statistics 2015-04-10 Rémi Gribonval , Rodolphe Jenatton , Francis Bach , Martin Kleinsteuber , Matthias Seibert

Approximate Bayesian Computation is widely used in systems biology for inferring parameters in stochastic gene regulatory network models. Its performance hinges critically on the ability to summarize high-dimensional system responses such…

Machine Learning · Statistics 2021-04-13 Mattias Åkesson , Prashant Singh , Fredrik Wrede , Andreas Hellander

Compressive sensing (CS) exploits sparsity to recover sparse or compressible signals from dimensionality reducing, non-adaptive sensing mechanisms. Sparsity is also used to enhance interpretability in machine learning and statistics…

Information Theory · Computer Science 2015-07-21 Anastasios Kyrillidis , Luca Baldassarre , Marwa El-Halabi , Quoc Tran-Dinh , Volkan Cevher

This paper presents a fast decorrelated neuro-ensemble with heterogeneous features for large-scale data analytics, where stochastic configuration networks (SCNs) are employed as base learner models and the well-known negative correlation…

Machine Learning · Computer Science 2017-07-06 Dianhui Wang , Caihao Cui

Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

Information Theory · Computer Science 2012-05-09 Thomas Blumensath

The Lloyd-Max algorithm is a classical approach to perform K-means clustering. Unfortunately, its cost becomes prohibitive as the training dataset grows large. We propose a compressive version of K-means (CKM), that estimates cluster…

Machine Learning · Computer Science 2017-02-13 Nicolas Keriven , Nicolas Tremblay , Yann Traonmilin , Rémi Gribonval

Compressed sensing is a signal processing technique in which data is acquired directly in a compressed form. There are two modeling approaches that can be considered: the worst-case (Hamming) approach and a statistical mechanism, in which…

Information Theory · Computer Science 2016-01-20 Wasim Huleihel , Neri Merhav

Compression of integer sets and sequences has been extensively studied for settings where elements follow a uniform probability distribution. In addition, methods exist that exploit clustering of elements in order to achieve higher…

Information Theory · Computer Science 2014-02-11 N. Jesper Larsson

Matrix sketching is a powerful tool for reducing the size of large data matrices. Yet there are fundamental limitations to this size reduction when we want to recover an accurate estimator for a task such as least square regression. We show…

Data Structures and Algorithms · Computer Science 2024-05-10 Sachin Garg , Kevin Tan , Michał Dereziński

The unsupervised learning of community structure, in particular the partitioning vertices into clusters or communities, is a canonical and well-studied problem in exploratory graph analysis. However, like most graph analyses the…

Machine Learning · Computer Science 2020-07-27 Benjamin W. Priest , Alec Dunton , Geoffrey Sanders

Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

Machine Learning · Computer Science 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

Count-sketch is a popular matrix sketching algorithm that can produce a sketch of an input data matrix X in O(nnz(X))time where nnz(X) denotes the number of non-zero entries in X. The sketched matrix will be much smaller than X while…

Machine Learning · Computer Science 2020-11-30 Yuhan Wang , Zijian Lei , Liang Lan

Recent work has explored transforming data sets into smaller, approximate summaries in order to scale Bayesian inference. We examine a related problem in which the parameters of a Bayesian model are very large and expensive to store in…

Machine Learning · Computer Science 2018-10-03 Joseph Tassarotti , Jean-Baptiste Tristan , Michael Wick

We introduce a very general method for sparse and large-scale variable selection. The large-scale regression settings is such that both the number of parameters and the number of samples are extremely large. The proposed method is based on…

Statistics Theory · Mathematics 2019-07-31 Jelena Bradic

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

Signal Processing · Electrical Eng. & Systems 2021-10-15 Michael Koller , Wolfgang Utschick

The problem of high-dimensional and large-scale representation of visual data is addressed from an unsupervised learning perspective. The emphasis is put on discrete representations, where the description length can be measured in bits and…

Machine Learning · Computer Science 2019-01-25 Sohrab Ferdowsi

Patchwork learning arises as a new and challenging data collection paradigm where both samples and features are observed in fragmented subsets. Due to technological limits, measurement expense, or multimodal data integration, such patchwork…

Methodology · Statistics 2024-06-21 Lili Zheng , Andersen Chang , Genevera I. Allen

Pruning the weights of neural networks is an effective and widely-used technique for reducing model size and inference complexity. We develop and test a novel method based on compressed sensing which combines the pruning and training into a…

Computer Vision and Pattern Recognition · Computer Science 2021-04-08 Jonathan W. Siegel , Jianhong Chen , Pengchuan Zhang , Jinchao Xu

The standard approach to compressive sampling considers recovering an unknown deterministic signal with certain known structure, and designing the sub-sampling pattern and recovery algorithm based on the known structure. This approach…

Information Theory · Computer Science 2016-02-03 Yen-Huan Li , Volkan Cevher
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