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It is widely believed that complex machine learning models generally encode features through linear representations. This is the foundational hypothesis behind a vast body of work on interpretability. A key challenge toward extracting…

Machine Learning · Computer Science 2026-04-01 Allen Liu

The searching procedure of neural architecture search (NAS) is notoriously time consuming and cost prohibitive.To make the search space continuous, most existing gradient-based NAS methods relax the categorical choice of a particular…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Shoufa Chen , Yunpeng Chen , Shuicheng Yan , Jiashi Feng

Projective analysis is an important solution for 3D shape retrieval, since human visual perceptions of 3D shapes rely on various 2D observations from different view points. Although multiple informative and discriminative views are…

Computer Vision and Pattern Recognition · Computer Science 2017-04-03 Song Bai , Xiang Bai , Zhichao Zhou , Zhaoxiang Zhang , Longin Jan Latecki

This paper studies visual search using structured queries. The structure is in the form of a 2D composition that encodes the position and the category of the objects. The transformation of the position and the category of the objects leads…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Mert Kilickaya , Arnold W. M. Smeulders

Over the year, people have been using deep learning to tackle inversion problems, and we see the framework has been applied to build relationship between recording wavefield and velocity (Yang et al., 2016). Here we will extend the work…

Machine Learning · Computer Science 2022-01-07 Cheng Zhan , Licheng Zhang , Xin Zhao , Chang-Chun Lee , Shujiao Huang

Neural implicit functions have achieved impressive results for reconstructing 3D shapes from single images. However, the image features for describing 3D point samplings of implicit functions are less effective when significant variations…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Yixin Zhuang , Yunzhe Liu , Yujie Wang , Baoquan Chen

Symmetry learning has proven to be an effective approach for extracting the hidden structure of data, with the concept of equivariance relation playing the central role. However, most of the current studies are built on architectural theory…

Machine Learning · Statistics 2024-02-15 Masanori Koyama , Kenji Fukumizu , Kohei Hayashi , Takeru Miyato

Under the flourishing development in performance, current image-text retrieval methods suffer from $N$-related time complexity, which hinders their application in practice. Targeting at efficiency improvement, this paper presents a simple…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Min Cao , Yang Bai , Jingyao Wang , Ziqiang Cao , Liqiang Nie , Min Zhang

Our proposal is on a new stochastic optimizer for non-convex and possibly non-smooth objective functions typically defined over large dimensional design spaces. Towards this, we have tried to bridge noise-assisted global search and faster…

Machine Learning · Computer Science 2025-03-03 Uttam Suman , Mariya Mamajiwala , Mukul Saxena , Ankit Tyagi , Debasish Roy

Most structure inference methods either rely on exhaustive search or are purely data-driven. Exhaustive search robustly infers the structure of arbitrarily complex data, but it is slow. Data-driven methods allow efficient inference, but do…

Machine Learning · Computer Science 2019-08-16 Sidi Lu , Jiayuan Mao , Joshua B. Tenenbaum , Jiajun Wu

Function inversion is the problem that given a random function $f: [M] \to [N]$, we want to find pre-image of any image $f^{-1}(y)$ in time $T$. In this work, we revisit this problem under the preprocessing model where we can compute some…

Quantum Physics · Physics 2020-04-09 Kai-Min Chung , Tai-Ning Liao , Luowen Qian

This study presents a novel methodology for integrating physics-informed loss functions into deep learning models using OpenFOAM's comprehensive data structures. Leveraging the robust and flexible capabilities of OpenFOAM's data structure…

Fluid Dynamics · Physics 2024-08-20 Yijin Mao , Yuwen Zhang

We propose a novel approach for instance-level image retrieval. It produces a global and compact fixed-length representation for each image by aggregating many region-wise descriptors. In contrast to previous works employing pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2016-07-29 Albert Gordo , Jon Almazan , Jerome Revaud , Diane Larlus

A classic data structure problem is to preprocess a string T of length $n$ so that, given a query $q$, we can quickly find all substrings of T with Hamming distance at most $k$ from the query string. Variants of this problem have seen…

Data Structures and Algorithms · Computer Science 2026-04-03 Jackson Bibbens , Levi Borevitz , Samuel McCauley

This paper presents a deterministic algorithmic approach of exploring the solution space of the Subset Sum Problem. The algorithm presented is input-robust and structurally adaptive. Exploration is guided and narrows into areas in the…

Computational Complexity · Computer Science 2025-06-19 Thami Nkosi

The inverse problem we consider is to reconstruct the location and shape of buried obstacles in the lower half-space of an unbounded two-layered medium in two dimensions from phaseless far-field data. A main difficulty of this problem is…

Numerical Analysis · Mathematics 2021-05-26 Long Li , Jiansheng Yang , Bo Zhang , Haiwen Zhang

Neural implicit functions have demonstrated significant importance in various areas such as computer vision, graphics. Their advantages include the ability to represent complex shapes and scenes with high fidelity, smooth interpolation…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Qi Ma , Danda Pani Paudel , Ender Konukoglu , Luc Van Gool

The tremendous expanse of search engines, dictionary and thesaurus storage, and other text mining applications, combined with the popularity of readily available scanning devices and optical character recognition tools, has necessitated…

Databases · Computer Science 2012-07-04 Sourav Dutta , Arnab Bhattacharya

The main features of the statistical approach to inverse problems are described on the example of a linear model with additive noise. The approach does not use any Bayesian hypothesis regarding an unknown object; instead, the standard…

Methodology · Statistics 2017-05-05 V. Yu. Terebizh

In subsurface imaging, learning the mapping from velocity maps to seismic waveforms (forward problem) and waveforms to velocity (inverse problem) is important for several applications. While traditional techniques for solving forward and…

Machine Learning · Computer Science 2025-04-03 Naveen Gupta , Medha Sawhney , Arka Daw , Youzuo Lin , Anuj Karpatne