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Sparse representations of atmospheric aerosols are needed for efficient regional- and global-scale chemical transport models. Here we introduce a new framework for representing aerosol distributions, based on the quadrature method of…

Atmospheric and Oceanic Physics · Physics 2018-03-14 Laura Fierce , Robert L. McGraw

We propose a new technique for constructing low-rank approximations of matrices that arise in kernel methods for machine learning. Our approach pairs a novel automatically constructed analytic expansion of the underlying kernel function…

Machine Learning · Computer Science 2022-02-09 John Paul Ryan , Anil Damle

The power method is one of the most fundamental tools for extracting top principal components from data through low-rank matrix approximation. Yet, when the target rank is large, the cost of matrix multiplication associated with this…

Numerical Analysis · Mathematics 2026-05-12 Shabarish Chenakkod , Michał Dereziński

We introduce a novel sketch-to-image tool that aligns with the iterative refinement process of artists. Our tool lets users sketch blocking strokes to coarsely represent the placement and form of objects and detail strokes to refine their…

Graphics · Computer Science 2024-10-28 Vishnu Sarukkai , Lu Yuan , Mia Tang , Maneesh Agrawala , Kayvon Fatahalian

Generative Artificial Intelligence (AI) has advanced rapidly, enabling the generation of renderings from architectural sketches. This progress has significantly improved the efficiency of communication and conceptual expression during the…

Graphics · Computer Science 2025-03-06 Zhengyang Wang , Hao Jin , Xusheng Du , Yuxiao Ren , Ye Zhang , Haoran Xie

We study the problem of constructing a linear sketch of minimum dimension that allows approximation of a given real-valued function $f \colon \mathbb{F}_2^n \rightarrow \mathbb R$ with small expected squared error. We develop a general…

Data Structures and Algorithms · Computer Science 2019-07-02 Grigory Yaroslavtsev , Samson Zhou

The rapid development of AR/VR brings tremendous demands for 3D content. While the widely-used Computer-Aided Design (CAD) method requires a time-consuming and labor-intensive modeling process, sketch-based 3D modeling offers a potential…

Computer Vision and Pattern Recognition · Computer Science 2023-09-25 Tianrun Chen , Chenglong Fu , Ying Zang , Lanyun Zhu , Jia Zhang , Papa Mao , Lingyun Sun

Splotch is a rendering algorithm for exploration and visual discovery in particle-based datasets coming from astronomical observations or numerical simulations. The strengths of the approach are production of high quality imagery and…

Instrumentation and Methods for Astrophysics · Physics 2016-09-23 Marzia Rivi , Claudio Gheller , Tim Dykes , Mel Krokos , Klaus Dolag

With the increasing rate of data generated by critical systems, estimating functions on streaming data has become essential. This demand has driven numerous advancements in algorithms designed to efficiently query and analyze one or more…

Databases · Computer Science 2024-05-16 Mike Heddes , Igor Nunes , Tony Givargis , Alex Nicolau

The blooming availability of traces for social, biological, and communication networks opens up unprecedented opportunities in analyzing diffusion processes in networks. However, the sheer sizes of the nowadays networks raise serious…

Data Structures and Algorithms · Computer Science 2017-09-13 Hung T. Nguyen , Tri P. Nguyen , NhatHai Phan , Thang N. Dinh

A graph stream is a continuous sequence of data items, in which each item indicates an edge, including its two endpoints and edge weight. It forms a dynamic graph that changes with every item in the stream. Graph streams play important…

Data Structures and Algorithms · Computer Science 2018-09-06 Xiangyang Gou , Lei Zou , Chenxingyu Zhao , Tong Yang

Ongoing advancements in the fields of 3D modelling and digital archiving have led to an outburst in the amount of data stored digitally. Consequently, several retrieval systems have been developed depending on the type of data stored in…

Computer Vision and Pattern Recognition · Computer Science 2021-07-21 Bharadwaj Manda , Shubham Dhayarkar , Sai Mitheran , V. K. Viekash , Ramanathan Muthuganapathy

Low-latency delivery of satellite imagery is essential for time-critical applications such as disaster response, intelligence, and infrastructure monitoring. However, traditional pipelines rely on downlinking all captured images before…

Machine Learning · Computer Science 2026-04-21 Ansel Kaplan Erol , Seungjun Lee , Divya Mahajan

We present a sketch-based CAD modeling system, where users create objects incrementally by sketching the desired shape edits, which our system automatically translates to CAD operations. Our approach is motivated by the close similarities…

Graphics · Computer Science 2020-09-11 Changjian Li , Hao Pan , Adrien Bousseau , Niloy J. Mitra

We present the first sublinear memory sketch that can be queried to find the nearest neighbors in a dataset. Our online sketching algorithm compresses an N element dataset to a sketch of size $O(N^b \log^3 N)$ in $O(N^{(b+1)} \log^3 N)$…

Data Structures and Algorithms · Computer Science 2020-09-15 Benjamin Coleman , Richard G. Baraniuk , Anshumali Shrivastava

In this paper, we address the problem of learning compact similarity-preserving embeddings for massive high-dimensional streams of data in order to perform efficient similarity search. We present a new online method for computing binary…

Machine Learning · Computer Science 2018-02-12 Anne Morvan , Antoine Souloumiac , Cédric Gouy-Pailler , Jamal Atif

This paper resolves one of the longest standing basic problems in the streaming computational model. Namely, optimal construction of quantile sketches. An $\varepsilon$ approximate quantile sketch receives a stream of items $x_1,\ldots,x_n$…

Data Structures and Algorithms · Computer Science 2016-04-07 Zohar Karnin , Kevin Lang , Edo Liberty

Many well-known, real-world problems involve dynamic data which describe the relationship among the entities. Hypergraphs are powerful combinatorial structures that are frequently used to model such data. For many of today's data-centric…

Data Structures and Algorithms · Computer Science 2021-03-10 Fatih Taşyaran , Berkay Demireller , Kamer Kaya , Bora Uçar

Linear sketches are fundamental tools in data stream analytics. They are notable for supporting both approximate frequency queries and heavy hitter detection with bounded trade-offs for error and memory. Importantly, on streams that contain…

Cryptography and Security · Computer Science 2025-12-10 Rayne Holland

We propose a new asynchronous parallel block-descent algorithmic framework for the minimization of the sum of a smooth nonconvex function and a nonsmooth convex one, subject to both convex and nonconvex constraints. The proposed framework…

Optimization and Control · Mathematics 2018-04-02 Loris Cannelli , Francisco Facchinei , Vyacheslav Kungurtsev , Gesualdo Scutari