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The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

Econometrics · Economics 2024-02-27 Felix Chan , Laszlo Matyas

This paper presents a novel approach for landmark recognition in images that we've successfully deployed at Mail ru. This method enables us to recognize famous places, buildings, monuments, and other landmarks in user photos. The main…

Computer Vision and Pattern Recognition · Computer Science 2019-08-30 Andrei Boiarov , Eduard Tyantov

In this paper we study the problem of recovering a low-rank matrix from linear measurements. Our algorithm, which we call Procrustes Flow, starts from an initial estimate obtained by a thresholding scheme followed by gradient descent on a…

Optimization and Control · Mathematics 2016-02-08 Stephen Tu , Ross Boczar , Max Simchowitz , Mahdi Soltanolkotabi , Benjamin Recht

Looking at the world from above, it is possible to estimate many properties of a given location, including the type of land cover and the expected land use. Historically, such tasks have relied on relatively coarse-grained categories due to…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Tawfiq Salem , Connor Greenwell , Hunter Blanton , Nathan Jacobs

Morphological features play an important role in breast mass classification in sonography. While benign breast masses tend to have a well-defined ellipsoidal contour, shape of malignant breast masses is commonly ill-defined and highly…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Michal Byra , Michael Andre

In medical tasks such as human motion analysis, computer-aided auxiliary systems have become preferred choice for human experts for its high efficiency. However, conventional approaches are typically based on user-defined features such as…

Robotics · Computer Science 2022-02-15 Honghu Xue , Rebecca Herzog , Till M Berger , Tobias Bäumer , Anne Weissbach , Elmar Rueckert

We introduce a new Procrustes-type method called matching component analysis to isolate components in data for transfer learning. Our theoretical results describe the sample complexity of this method, and we demonstrate through numerical…

Numerical Analysis · Mathematics 2019-09-05 Charles Clum , Dustin G. Mixon , Theresa Scarnati

We present a localized a-posteriori error estimate for the localized reduced basis multi-scale (LRBMS) method [Albrecht, Haasdonk, Kaulmann, Ohlberger (2012): The localized reduced basis multiscale method]. The LRBMS is a combination of…

Numerical Analysis · Mathematics 2019-10-30 Mario Ohlberger , Felix Schindler

We demonstrate applications of the Gaussian process-based landmarking algorithm proposed in [T. Gao, S.Z. Kovalsky, and I. Daubechies, SIAM Journal on Mathematics of Data Science (2019)] to geometric morphometrics, a branch of evolutionary…

Applications · Statistics 2019-01-10 Tingran Gao , Shahar Z. Kovalsky , Doug M. Boyer , Ingrid Daubechies

Learning automatically the structure of object categories remains an important open problem in computer vision. In this paper, we propose a novel unsupervised approach that can discover and learn landmarks in object categories, thus…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 James Thewlis , Hakan Bilen , Andrea Vedaldi

Anatomical landmark correspondences in medical images can provide additional guidance information for the alignment of two images, which, in turn, is crucial for many medical applications. However, manual landmark annotation is…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Monika Grewal , Timo M. Deist , Jan Wiersma , Peter A. N. Bosman , Tanja Alderliesten

Probabilistic models analyze data by relying on a set of assumptions. Data that exhibit deviations from these assumptions can undermine inference and prediction quality. Robust models offer protection against mismatch between a model's…

Machine Learning · Statistics 2018-06-20 Yixin Wang , Alp Kucukelbir , David M. Blei

In safety-critical deep learning applications, robustness measures the ability of neural models that handle imperceptible perturbations in input data, which may lead to potential safety hazards. Existing pre-deployment robustness assessment…

Machine Learning · Computer Science 2025-08-27 Wenchuan Mu , Kwan Hui Lim

Robust facial landmark localization remains a challenging task when faces are partially occluded. Recently, the cascaded pose regression has attracted increasing attentions, due to it's superior performance in facial landmark localization…

Computer Vision and Pattern Recognition · Computer Science 2018-05-16 Yiyun Pan , Junwei Zhou , Yongsheng Gao , Shengwu Xiong

In many matching markets--such as athlete recruitment or academic admissions--participants on one side are evaluated by attribute vectors known to the other side, which in turn applies individual \emph{salience vectors} to assign relative…

Computer Science and Game Theory · Computer Science 2026-02-05 Amit Ronen , S. S. Ravi , Sarit Kraus

A key recent advance in face recognition models a test face image as a sparse linear combination of a set of training face images. The resulting sparse representations have been shown to possess robustness against a variety of distortions…

Computer Vision and Pattern Recognition · Computer Science 2011-11-09 Yi Chen , Umamahesh Srinivas , Thong T. Do , Vishal Monga , Trac D. Tran

We propose a robust normal estimation method for both point clouds and meshes using a low rank matrix approximation algorithm. First, we compute a local feature descriptor for each point and find similar, non-local neighbors that we…

Graphics · Computer Science 2021-10-05 Xuequan Lu , Scott Schaefer , Jun Luo , Lizhuang Ma , Ying He

In recent years various results about locally symmetric manifolds were proven using probabilistic approaches. One of the approaches is to consider random manifolds by associating a probability measure to the space of discrete subgroups of…

Group Theory · Mathematics 2025-01-22 Tsachik Gelander

This paper proposes minimum distance inference for a structural parameter of interest, which is robust to the lack of identification of other structural nuisance parameters. Some choices of the weighting matrix lead to asymptotic…

Econometrics · Economics 2023-10-10 Joan Alegre , Juan Carlos Escanciano

Surveillance and surveying are two important applications of empirical research. A major part of terrain modelling is supported by photographic surveys which are used for capturing expansive natural surfaces using a wide range of sensors --…

Image and Video Processing · Electrical Eng. & Systems 2023-05-16 Maniratnam Mandal , Venkatesh K. Subramanian