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We consider the problem of creating document representations in which inter-document similarity measurements correspond to semantic similarity. We first present a novel subspace-based framework for formalizing this task. Using this…

Computation and Language · Computer Science 2007-05-23 Rie Kubota Ando , Lillian Lee

This paper studies the problem of Simultaneous Sparse Approximation (SSA). This problem arises in many applications which work with multiple signals maintaining some degree of dependency such as radar and sensor networks. In this paper, we…

Information Theory · Computer Science 2023-04-04 Sahar Sadrizadeh , Shahrzad Kiani , Mahdi Boloursaz , Farokh Marvasti

In this paper, we consider the inverse problem of determining the location and the shape of a sound-soft obstacle from the modulus of the far-field data for a single incident plane wave. By adding a reference ball artificially to the…

Numerical Analysis · Mathematics 2018-04-17 Heping Dong , Deyue Zhang , Yukun Guo

In this work, we propose a parameterised quantum circuit learning approach to point set matching problem. In contrast to previous annealing-based methods, we propose a quantum circuit-based framework whose parameters are optimised via…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Mohammadreza Noormandipour , Hanchen Wang

We propose a novel sparse dictionary learning method for planar shapes in the sense of Kendall, namely configurations of landmarks in the plane considered up to similitudes. Our shape dictionary method provides a good trade-off between…

Image and Video Processing · Electrical Eng. & Systems 2020-01-14 Anna Song , Virginie Uhlmann , Julien Fageot , Michael Unser

In this work, we consider the problem of reconstructing the shape of a three dimensional impenetrable sound-soft axis-symmetric obstacle from measurements of the scattered field at multiple frequencies. This problem has important…

Numerical Analysis · Mathematics 2020-10-28 Carlos Borges , Jun Lai

The task of predicting missing entries of a matrix, from a subset of known entries, is known as \textit{matrix completion}. In today's data-driven world, data completion is essential whether it is the main goal or a pre-processing step.…

Numerical Analysis · Mathematics 2021-05-18 Henry Adams , Lara Kassab , Deanna Needell

The affine rank minimization (ARM) problem is well known for both its applications and the fact that it is NP-hard. One of the most successful approaches, yet arguably underrepresented, is iteratively reweighted least squares (IRLS), more…

Optimization and Control · Mathematics 2021-06-29 Sebastian Krämer

Fine-tuning has become a popular approach to adapting large foundational models to specific tasks. As the size of models and datasets grows, parameter-efficient fine-tuning techniques are increasingly important. One of the most widely used…

In this paper we introduce a novel certified shape optimization strategy - named Certified Descent Algorithm (CDA) - to account for the numerical error introduced by the Finite Element approximation of the shape gradient. We present a…

Numerical Analysis · Mathematics 2018-05-28 Matteo Giacomini , Olivier Pantz , Karim Trabelsi

Consistently predicting biopolymer structure at atomic resolution from sequence alone remains a difficult problem, even for small sub-segments of large proteins. Such loop prediction challenges, which arise frequently in comparative…

Biomolecules · Quantitative Biology 2014-03-05 Rhiju Das

In many applications throughout science and engineering, model reduction plays an important role replacing expensive large-scale linear dynamical systems by inexpensive reduced order models that capture key features of the original, full…

Numerical Analysis · Mathematics 2023-03-24 Jeffrey M. Hokanson , Caleb C. Magruder

Instance-level image retrieval is the task of searching in a large database for images that match an object in a query image. To address this task, systems usually rely on a retrieval step that uses global image descriptors, and a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Fuwen Tan , Jiangbo Yuan , Vicente Ordonez

Shape matching has been a long-studied problem for the computer graphics and vision community. The objective is to predict a dense correspondence between meshes that have a certain degree of deformation. Existing methods either consider the…

Computer Vision and Pattern Recognition · Computer Science 2022-02-04 Mahdi Saleh , Shun-Cheng Wu , Luca Cosmo , Nassir Navab , Benjamin Busam , Federico Tombari

We suggest two metrics for assessing the quality of atomistic configurations of disordered materials, both of which are based on quantifying the orientational distribution of neighbours around each atom in the configuration. The first…

Materials Science · Physics 2012-11-20 Matthew J. Cliffe , Andrew L. Goodwin

This paper is concerned with parameter identification problem for finite impulse response (FIR) systems with binary-valued observations under low computational complexity. Most of the existing algorithms under binary-valued observations…

Systems and Control · Electrical Eng. & Systems 2024-12-09 Tianning Han , Ying Wang , Yanlong Zhao

Finding shape correspondences can be formulated as an NP-hard quadratic assignment problem (QAP) that becomes infeasible for shapes with high sampling density. A promising research direction is to tackle such quadratic optimization problems…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Marcel Seelbach Benkner , Zorah Lähner , Vladislav Golyanik , Christof Wunderlich , Christian Theobalt , Michael Moeller

We show that the maximization of the sum degrees-of-freedom for the static flat-fading multiple-input multiple-output (MIMO) interference channel is equivalent to a rank constrained rank minimization problem (RCRM), when the signal spaces…

Information Theory · Computer Science 2015-03-17 Dimitris S. Papailiopoulos , Alexandros G. Dimakis

Shape correspondence is a fundamental problem in computer graphics and vision, with applications in various problems including animation, texture mapping, robotic vision, medical imaging, archaeology and many more. In settings where the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Or Litany , Emanuele Rodolà , Alex Bronstein , Michael Bronstein , Daniel Cremers

We present a new algorithm, Robust Automated Assignment of Rigid Rotors (RAARR), for assigning rotational spectra of asymmetric tops. The RAARR algorithm can automatically assign experimental spectra under a broad range of conditions,…

Chemical Physics · Physics 2019-06-26 Lia Yeh , Lincoln Satterthwaite , David Patterson
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