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We provide a novel statistical perspective on a classical problem at the intersection of computer science and information theory: recovering the empirical frequency of a symbol in a large discrete dataset using only a compressed…

Methodology · Statistics 2025-04-11 Mario Beraha , Stefano Favaro , Matteo Sesia

A flexible conformal inference method is developed to construct confidence intervals for the frequencies of queried objects in very large data sets, based on a much smaller sketch of those data. The approach is data-adaptive and requires no…

Methodology · Statistics 2022-11-10 Matteo Sesia , Stefano Favaro

Attention mechanisms and non-local mean operations in general are key ingredients in many state-of-the-art deep learning techniques. In particular, the Transformer model based on multi-head self-attention has recently achieved great success…

Machine Learning · Computer Science 2019-05-27 Dan A. Calian , Peter Roelants , Jacques Cali , Ben Carr , Krishna Dubba , John E. Reid , Dell Zhang

Detecting emergence of a low-rank signal from high-dimensional data is an important problem arising from many applications such as camera surveillance and swarm monitoring using sensors. We consider a procedure based on the largest…

Machine Learning · Statistics 2016-10-10 Yao Xie , Lee Seversky

Estimating the number of distinct elements in a data stream is well understood when repeated elements are identical. In modern settings, however, observations are high-dimensional and noisy, so repeated instances of the same object are only…

Machine Learning · Statistics 2026-05-18 Nikos Tsikouras , Constantine Caramanis , Christos Tzamos

Linear sketching algorithms have been widely used for processing large-scale distributed and streaming datasets. Their popularity is largely due to the fact that linear sketches can be naturally composed in the distributed model and be…

Data Structures and Algorithms · Computer Science 2017-03-28 Jiecao Chen , Qin Zhang

Among randomized numerical linear algebra strategies, so-called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace methods for, e.g., the solution of linear systems, eigenvalue…

Numerical Analysis · Mathematics 2024-08-02 Davide Palitta , Marcel Schweitzer , Valeria Simoncini

In this work we propose a new paradigm for designing efficient deep unrolling networks using operator sketching. The deep unrolling networks are currently the state-of-the-art solutions for imaging inverse problems. However, for…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Junqi Tang , Subhadip Mukherjee , Carola-Bibiane Schönlieb

Based on sketching techniques, we propose two randomized algorithms for tensor ring (TR) decomposition. Specifically, by defining new tensor products and investigating their properties, we apply the Kronecker sub-sampled randomized Fourier…

Numerical Analysis · Mathematics 2022-09-14 Yajie Yu , Hanyu Li

A determinantal point process is a stochastic point process that is commonly used to capture negative correlations. It has become increasingly popular in machine learning in recent years. Sampling a determinantal point process however…

Numerical Analysis · Mathematics 2020-09-02 Lexing Ying

We propose a novel method for learning convolutional neural image representations without manual supervision. We use motion cues in the form of optical flow, to supervise representations of static images. The obvious approach of training a…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Aravindh Mahendran , James Thewlis , Andrea Vedaldi

This work considers robot keypoint estimation on color images as a supervised machine learning task. We propose the use of probabilistically created renderings to overcome the lack of labeled real images. Rather than sampling from…

Computer Vision and Pattern Recognition · Computer Science 2019-07-04 Christoph Heindl , Sebastian Zambal , Josef Scharinger

Graphic sketch representations are effective for representing sketches. Existing methods take the patches cropped from sketches as the graph nodes, and construct the edges based on sketch's drawing order or Euclidean distances on the…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Sicong Zang , Shikui Tu , Lei Xu

Graph classification aims to categorise graphs based on their structure and node attributes. In this work, we propose to tackle this task using tools from graph signal processing by deriving spectral features, which we then use to design…

Machine Learning · Computer Science 2023-06-07 Felix L. Opolka , Yin-Cong Zhi , Pietro Liò , Xiaowen Dong

Most machine vision tasks (e.g., semantic segmentation) are based on images encoded and decoded by image compression algorithms (e.g., JPEG). However, these decoded images in the pixel domain introduce distortion, and they are optimized for…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Jinming Liu , Heming Sun , Jiro Katto

Sketches are a medium to convey a visual scene from an individual's creative perspective. The addition of color substantially enhances the overall expressivity of a sketch. This paper proposes two methods to mimic human-drawn colored…

Computer Vision and Pattern Recognition · Computer Science 2022-01-10 V Manushree , Sameer Saxena , Parna Chowdhury , Manisimha Varma , Harsh Rathod , Ankita Ghosh , Sahil Khose

Sketches are highly expressive, inherently capturing subjective and fine-grained visual cues. The exploration of such innate properties of human sketches has, however, been limited to that of image retrieval. In this paper, for the first…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Pinaki Nath Chowdhury , Ayan Kumar Bhunia , Aneeshan Sain , Subhadeep Koley , Tao Xiang , Yi-Zhe Song

An algorithm for digital signal analysis using convolutional neural networks (CNN) was developed in this work. The main objective of this algorithm is to make the analysis of experiments with active target time projection chambers more…

Signal Processing · Electrical Eng. & Systems 2022-03-11 G. F. Fortino , J. C. Zamora , L. E. Tamayose , N. S. T. Hirata , V. Guimaraes

The random sampling task performed by Google's Sycamore processor gave us a glimpse of the "Quantum Supremacy era". This has definitely shed some spotlight on the power of random quantum circuits in this abstract task of sampling outputs…

Quantum Physics · Physics 2024-01-23 Keerthi Kumaran , Manas Sajjan , Sangchul Oh , Sabre Kais

We consider an important class of signal processing problems where the signal of interest is known to be sparse, and can be recovered from data given auxiliary information about how the data was generated. For example, a sparse Green's…

Optimization and Control · Mathematics 2012-12-06 Aleksandr Y. Aravkin , Tristan van Leeuwen , Ning Tu