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Subspace segmentation or subspace learning is a challenging and complicated task in machine learning. This paper builds a primary frame and solid theoretical bases for the minimal subspace segmentation (MSS) of finite samples. Existence and…

Machine Learning · Computer Science 2019-09-10 Zhenyue Zhang , Yuqing Xia

We propose a weakly-supervised framework for the semantic segmentation of circular-scan synthetic-aperture-sonar (CSAS) imagery. The first part of our framework is trained in a supervised manner, on image-level labels, to uncover a set of…

Improvements in the accuracy of shape measurements are essential to exploit the statistical power of planned imaging surveys that aim to constrain cosmological parameters using weak lensing by large-scale structure. Although a range of…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-03 Henk Hoekstra , Massimo Viola , Ricardo Herbonnet

Symbolic regression (SR) searches for parametric models that accurately fit a dataset, prioritizing simplicity and interpretability. Despite this secondary objective, studies point out that the models are often overly complex due to…

Neural and Evolutionary Computing · Computer Science 2024-04-10 Guilherme Seidyo Imai Aldeia , Fabricio Olivetti de Franca , William G. La Cava

We propose Sym-Net, a novel framework for Few-Shot Segmentation (FSS) that addresses the critical issue of intra-class variation by jointly learning both query and support prototypes in a symmetrical manner. Unlike previous methods that…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Qun Li , Baoquan Sun , Fu Xiao , Yonggang Qi , Bir Bhanu

Cycle-accurate software simulation of multicores with complex microarchitectures is often excruciatingly slow. People use simplified core models to gain simulation speed. However, a persistent question is to what extent the results derived…

Hardware Architecture · Computer Science 2016-10-10 Sizhuo Zhang , Andrew Wright , Daniel Sanchez , Arvind

Investigation of well-motivated parameter space in the theories of Beyond the Standard Model (BSM) plays an important role in new physics discoveries. However, a large-scale exploration of models with multi-parameter or equivalent solutions…

High Energy Physics - Phenomenology · Physics 2019-04-09 Jie Ren , Lei Wu , Jin Min Yang , Jun Zhao

We present a new approach to simple homotopy theory of polyhedra using finite topological spaces. We define the concept of collapse of a finite space and prove that this new notion corresponds exactly to the concept of a simplicial…

Algebraic Topology · Mathematics 2007-05-23 Jonathan Ariel Barmak , Elias Gabriel Minian

We present results from a set of simulations designed to constrain the weak lensing shear calibration for the Hyper Suprime-Cam (HSC) survey. These simulations include HSC observing conditions and galaxy images from the Hubble Space…

We revise and extend the stochastic approach to cumulative weak lensing (hereafter the sGL method) first introduced in Ref. [1]. Here we include a realistic halo mass function and density profiles to model the distribution of mass between…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-19 Kimmo Kainulainen , Valerio Marra

Researchers currently use a number of approaches to predict and substantiate information-computation gaps in high-dimensional statistical estimation problems. A prominent approach is to characterize the limits of restricted models of…

Computational Complexity · Computer Science 2021-06-29 Matthew Brennan , Guy Bresler , Samuel B. Hopkins , Jerry Li , Tselil Schramm

Extensions of the Standard Model Higgs sector involving weak isotriplet scalars are not only benchmark candidates to reconcile observed anomalies of the recently discovered Higgs-like particle, but also exhibit a vast parameter space, for…

High Energy Physics - Phenomenology · Physics 2013-09-04 Christoph Englert , Emanuele Re , Michael Spannowsky

We provide general formulation of weak identification in semiparametric models and an efficiency concept. Weak identification occurs when a parameter is weakly regular, i.e., when it is locally homogeneous of degree zero. When this happens,…

Econometrics · Economics 2022-01-24 Tetsuya Kaji

We present a survey of the cosmological applications of the next generation of weak lensing surveys, paying special attention to the computational challenges presented by the number of galaxies, $N_{gal} ~$ 10$^{5}$. We focus on optimal…

Astrophysics · Physics 2009-11-07 N. Padmanabhan , U. Seljak , U. L. Pen

In this paper we consider the classification of minimal cellular structures of spaces of topological complexity two under some hypotheses on there graded cohomological algebra. This continues the method used by M.Grant et al. in [1].

Algebraic Topology · Mathematics 2016-07-27 A. Boudjaj , Y. Rami

Though image-level weakly supervised semantic segmentation (WSSS) has achieved great progress with Class Activation Maps (CAMs) as the cornerstone, the large supervision gap between classification and segmentation still hampers the model to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Ye Du , Zehua Fu , Qingjie Liu , Yunhong Wang

This work proposes a windowed least-squares (WLS) approach for model-reduction of dynamical systems. The proposed approach sequentially minimizes the time-continuous full-order-model residual within a low-dimensional space-time trial…

Numerical Analysis · Mathematics 2019-10-28 Eric J. Parish , Kevin T. Carlberg

Patch classification models based on deep learning have been utilized in whole-slide images (WSI) of H&E-stained tissue samples to assist pathologists in grading follicular lymphoma patients. However, these approaches still require…

We create a framework for studying symmetric chain decompositions of families of finite posets based on the geometry of polytopes. Our framework unifies almost all known results regarding symmetric chain decompositions of the Young posets…

Combinatorics · Mathematics 2017-06-07 Stefan David , Hunter Spink , Marius Tiba

We study Label Smoothing (LS), a widely used regularization technique, in the context of neural learning to rank (L2R) models. LS combines the ground-truth labels with a uniform distribution, encouraging the model to be less confident in…

Information Retrieval · Computer Science 2020-12-17 Gustavo Penha , Claudia Hauff