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I propose that pattern recognition, memorization and processing are key concepts that can be a principle set for the theoretical modeling of the mind function. Most of the questions about the mind functioning can be answered by a…

Artificial Intelligence · Computer Science 2009-07-28 Gilberto de Paiva

Conventional approaches to object instance re-identification rely on matching appearances of the target objects among a set of frames. However, learning appearances of the objects alone might fail when there are multiple objects with…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Vaibhav Bansal , Stuart James , Alessio Del Bue

In this paper we consider the problem of reconstructing an image that is downsampled in the space of its $SE(2)$ wavelet transform, which is motivated by classical models of simple cells receptive fields and feature preference maps in…

Numerical Analysis · Mathematics 2021-10-05 Davide Barbieri

Many living and artificial systems improve their fitness or performance by adapting to changing environments or diverse training data. However, it remains unclear how such environmental variation influences adaptation, what is learned in…

Computational Physics · Physics 2026-04-09 Mengjie Zu , Carl P. Goodrich

In this article, we use $\lambda$-sequences to derive common fixed points for a family of self-mappings defined on a complete $G$-metric space. We imitate some existing techniques in our proofs and show that the tools emlyed can be used at…

General Topology · Mathematics 2017-03-27 Yaé Olatoundji Gaba

In this paper, we consider the problem of recovering an unknown sparse matrix X from the matrix sketch Y = AX B^T. The dimension of Y is less than that of X, and A and B are known matrices. This problem can be solved using standard…

Numerical Analysis · Computer Science 2013-11-12 Thakshila Wimalajeewa , Yonina C. Eldar , Pramod K. Varshney

In this work, we consider one-shot imitation learning for object rearrangement tasks, where an AI agent needs to watch a single expert demonstration and learn to perform the same task in different environments. To achieve a strong…

Machine Learning · Computer Science 2022-11-29 Aviv Netanyahu , Tianmin Shu , Joshua Tenenbaum , Pulkit Agrawal

Open-world object detection (OWOD) requires incrementally detecting known categories while reliably identifying unknown objects. Existing methods primarily focus on improving unknown recall, yet overlook interpretability, often leading to…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Xueqiang Lv , Shizhou Zhang , Yinghui Xing , Di Xu , Peng Wang , Yanning Zhang

We develop fixed-point algorithms for the approximation of structured matrices with rank penalties. In particular we use these fixed-point algorithms for making approximations by sums of exponentials, or frequency estimation. For the basic…

Numerical Analysis · Mathematics 2016-01-07 Fredrik Andersson , Marcus Carlsson

We provide criteria for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. These criteria reduce the projection problem to a certain…

Computer Vision and Pattern Recognition · Computer Science 2015-03-14 Joseph M. Burdis , Irina A. Kogan

We provide a unifying view of a large family of previous imitation learning algorithms through the lens of moment matching. At its core, our classification scheme is based on whether the learner attempts to match (1) reward or (2)…

Machine Learning · Computer Science 2021-06-14 Gokul Swamy , Sanjiban Choudhury , J. Andrew Bagnell , Zhiwei Steven Wu

Given pointwise samples of an unknown function belonging to a certain model set, one seeks in Optimal Recovery to recover this function in a way that minimizes the worst-case error of the recovery procedure. While it is often known that…

Numerical Analysis · Mathematics 2023-08-01 Simon Foucart

Object recognition has become a crucial part of machine learning and computer vision recently. The current approach to object recognition involves Deep Learning and uses Convolutional Neural Networks to learn the pixel patterns of the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Abrar Ahmed , Anish Bikmal

Model-agnostic tools for interpreting machine-learning models struggle to summarize the joint effects of strongly dependent features in high-dimensional feature spaces, which play an important role in pattern recognition, for example in…

Machine Learning · Computer Science 2023-06-01 Alexander Brenning

We prove that a model structure on a relative $\infty$-category $(M,W)$ gives an efficient and computable way of accessing the hom-spaces $hom_{M[[W^{-1}]]}(x,y)$ in the localization. More precisely, we show that when the source $x \in M$…

Algebraic Topology · Mathematics 2015-10-19 Aaron Mazel-Gee

Automatically discovering composable abstractions from raw perceptual data is a long-standing challenge in machine learning. Recent slot-based neural networks that learn about objects in a self-supervised manner have made exciting progress…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Ondrej Biza , Sjoerd van Steenkiste , Mehdi S. M. Sajjadi , Gamaleldin F. Elsayed , Aravindh Mahendran , Thomas Kipf

We propose a novel recurrent attentional structure to localize and recognize objects jointly. The network can learn to extract a sequence of local observations with detailed appearance and rough context, instead of sliding windows or…

Computer Vision and Pattern Recognition · Computer Science 2017-12-20 Jie Lyu , Zejian Yuan , Dapeng Chen

We propose an efficient algorithm for learning mappings between two metric spaces, $\X$ and $\Y$. Our procedure is strongly Bayes-consistent whenever $\X$ and $\Y$ are topologically separable and $\Y$ is "bounded in expectation" (our term;…

Machine Learning · Computer Science 2026-05-06 Dan Tsir Cohen , Aryeh Kontorovich

In this paper, we study the problem of matrix recovery, which aims to restore a target matrix of authentic samples from grossly corrupted observations. Most of the existing methods, such as the well-known Robust Principal Component Analysis…

Computer Vision and Pattern Recognition · Computer Science 2018-11-12 Xingyu Xie , Jianlong Wu , Guangcan Liu , Jun Wang

We discuss the possibility to learn a data-driven explicit model correction for inverse problems and whether such a model correction can be used within a variational framework to obtain regularised reconstructions. This paper discusses the…

Numerical Analysis · Mathematics 2020-10-22 Sebastian Lunz , Andreas Hauptmann , Tanja Tarvainen , Carola-Bibiane Schönlieb , Simon Arridge