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Sketching and stochastic gradient methods are arguably the most common techniques to derive efficient large scale learning algorithms. In this paper, we investigate their application in the context of nonparametric statistical learning.…

Machine Learning · Statistics 2019-01-25 Luigi Carratino , Alessandro Rudi , Lorenzo Rosasco

This is a write-up of a talk given at the CATMI meeting in Bergen in July 2023, and is an introduction to a category-theoretic perspective on metric spaces. A metric space is a set of points such that between each pair of points there is a…

Category Theory · Mathematics 2025-01-03 Simon Willerton

The visual complexity of a graph drawing is defined as the number of geometric objects needed to represent all its edges. In particular, one object may represent multiple edges, e.g., one needs only one line segment to draw two collinear…

Computational Geometry · Computer Science 2018-09-10 Philipp Kindermann , Wouter Meulemans , André Schulz

This paper investigates a general framework to discover categories of unlabeled scene images according to their appearances (i.e., textures and structures). We jointly solve the two coupled tasks in an unsupervised manner: (i) classifying…

Computer Vision and Pattern Recognition · Computer Science 2015-02-03 Liang Lin , Ruimao Zhang , Xiaohua Duan

Geometric data summarization has become an essential tool in both geometric approximation algorithms and where geometry intersects with big data problems. In linear or near-linear time large data sets can be compressed into a summary, and…

Computational Geometry · Computer Science 2016-06-14 Jeff M. Phillips

Proliferation of touch-based devices has made sketch-based image retrieval practical. While many methods exist for sketch-based object detection/image retrieval on small datasets, relatively less work has been done on large (web)-scale…

Computer Vision and Pattern Recognition · Computer Science 2015-11-03 Sarthak Parui , Anurag Mittal

Random projections offer an appealing and flexible approach to a wide range of large-scale statistical problems. They are particularly useful in high-dimensional settings, where we have many covariates recorded for each observation. In…

Methodology · Statistics 2019-11-26 Timothy I. Cannings

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

In this note we characterize, within the framework of the theory of finite set, those categories of graphs that are {\em algebraic universal} in the sense that every concrete category embeds in them. The proof of the characterization is…

Category Theory · Mathematics 2016-08-04 J. Nesetril , P. Ossona de Mendez

Visual modes of communication are ubiquitous in modern life --- from maps to data plots to political cartoons. Here we investigate drawing, the most basic form of visual communication. Participants were paired in an online environment to…

Other Computer Science · Computer Science 2019-12-17 Judith Fan , Robert Hawkins , Mike Wu , Noah Goodman

Sketch-based image retrieval (SBIR) is the task of retrieving images from a natural image database that correspond to a given hand-drawn sketch. Ideally, an SBIR model should learn to associate components in the sketch (say, feet, tail,…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Sasi Kiran Yelamarthi , Shiva Krishna Reddy , Ashish Mishra , Anurag Mittal

This work proposes a novel method for object co-segmentation, i.e. pixel-level localization of a common object in a set of images, that uses no pixel-level supervision for training. Two pre-trained Vision Transformer (ViT) models are…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Nikolaos-Antonios Ypsilantis , Ondřej Chum

We introduce a new sub-linear space sketch---the Weight-Median Sketch---for learning compressed linear classifiers over data streams while supporting the efficient recovery of large-magnitude weights in the model. This enables…

Machine Learning · Computer Science 2018-04-10 Kai Sheng Tai , Vatsal Sharan , Peter Bailis , Gregory Valiant

Humans inherently recognize objects via selective visual perception, transform specific regions from the visual field into structured symbolic knowledge, and reason their relationships among regions based on the allocation of limited…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Shu Zhao , Huijuan Xu

Given an abstract, deformed, ordinary sketch from untrained amateurs like you and me, this paper turns it into a photorealistic image - just like those shown in Fig. 1(a), all non-cherry-picked. We differ significantly from prior art in…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Subhadeep Koley , Ayan Kumar Bhunia , Aneeshan Sain , Pinaki Nath Chowdhury , Tao Xiang , Yi-Zhe Song

We scrutinise an important observation plaguing scene-level sketch research -- that a significant portion of scene sketches are "partial". A quick pilot study reveals: (i) a scene sketch does not necessarily contain all objects in the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Pinaki Nath Chowdhury , Ayan Kumar Bhunia , Viswanatha Reddy Gajjala , Aneeshan Sain , Tao Xiang , Yi-Zhe Song

Edges, boundaries and contours are important subjects of study in both computer graphics and computer vision. On one hand, they are the 2D elements that convey 3D shapes, on the other hand, they are indicative of occlusion events and thus…

Computer Vision and Pattern Recognition · Computer Science 2019-01-04 Mengtian Li , Zhe Lin , Radomir Mech , Ersin Yumer , Deva Ramanan

The complexity of a system description is a function of the entropy of its symbolic description. Prior to computing the entropy of the system description, an observation scale has to be assumed. In natural language texts, typical scales are…

Information Theory · Computer Science 2015-03-31 Gerardo Febres , Klaus Jaffe

In this paper, we propose a novel scheme for scalable image coding based on the concept of epitome. An epitome can be seen as a factorized representation of an image. Focusing on spatial scalability, the enhancement layer of the proposed…

Computer Vision and Pattern Recognition · Computer Science 2016-06-29 Martin Alain , Christine Guillemot , Dominique Thoreau , Philippe Guillotel

We give a simple, low resource method to produce order embeddings from ontologies. Such embeddings map words to vectors so that order relations on the words, such as hypernymy/hyponymy, are represented in a direct way. Our method uses…

Computation and Language · Computer Science 2021-01-07 Kenneth L. Clarkson , Sanjana Sahayaraj
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