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We present a novel randomized block coordinate descent method for the minimization of a convex composite objective function. The method uses (approximate) partial second-order (curvature) information, so that the algorithm performance is…

Optimization and Control · Mathematics 2018-02-28 Kimon Fountoulakis , Rachael Tappenden

Dense depth maps have been used as a key element of visual perception tasks. There have been tremendous efforts to enhance the depth quality, ranging from optimization-based to learning-based methods. Despite the remarkable progress for a…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Jin-Hwi Park , Chanhwi Jeong , Junoh Lee , Hae-Gon Jeon

In the coming years, strong gravitational lens discoveries are expected to increase in frequency by two orders of magnitude. Lens-modelling techniques are being developed to prepare for the coming massive influx of new lens data, and blind…

Astrophysics of Galaxies · Physics 2020-06-18 Philipp Denzel , Sampath Mukherjee , Jonathan P. Coles , Prasenjit Saha

The machine learning community has recently put effort into quantized or low-precision arithmetics to scale large models. This paper proposes performing probabilistic inference in the quantized, discrete parameter space created by these…

Machine Learning · Computer Science 2025-08-20 Aleksanteri Sladek , Martin Trapp , Arno Solin

Deep neural networks are highly susceptible to learning biases in visual data. While various methods have been proposed to mitigate such bias, the majority require explicit knowledge of the biases present in the training data in order to…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Rebecca S Stone , Nishant Ravikumar , Andrew J Bulpitt , David C Hogg

We consider a class of hypothesis testing problems where the null hypothesis postulates $M$ distributions for the observed data, and there is only one possible distribution under the alternative. We show that one can use a stochastic mirror…

This article surveys computational methods for posterior inference with intractable likelihoods, that is where the likelihood function is unavailable in closed form, or where evaluation of the likelihood is infeasible. We review recent…

Computation · Statistics 2020-04-10 Matthew T. Moores , Anthony N. Pettitt , Kerrie Mengersen

Weak gravitational lensing surveys have the potential to directly probe mass density fluctuation in the universe. Recent studies have shown that it is possible to model the statistics of the convergence field at small angular scales by…

Astrophysics · Physics 2008-11-26 Dipak Munshi , Bhuvnesh Jain

This short study reformulates the statistical Bayesian learning problem using a quantum mechanics framework. Density operators representing ensembles of pure states of sample wave functions are used in place probability densities. We show…

Statistics Theory · Mathematics 2023-01-18 Yann Berquin

Energy-based learning algorithms are alternatives to backpropagation and are well-suited to distributed implementations in analog electronic devices. However, a rigorous theory of convergence is lacking. We make a first step in this…

Optimization and Control · Mathematics 2026-01-28 Anne-Men Huijzer , Thomas Chaffey , Bart Besselink , Henk J. van Waarde

Likelihood-free inference provides a rigorous approach to preform Bayesian analysis using forward simulations only. The main advantage of likelihood-free methods is its ability to account for complex physical processes and observational…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-09 Sut-Ieng Tam , Keiichi Umetsu , Adam Amara

Modeling the dynamics of flexible objects has become an emerging topic in the community as these objects become more present in many applications, e.g., soft robotics. Due to the properties of flexible materials, the movements of soft…

Machine Learning · Computer Science 2024-06-18 Kaiyuan Tan , Peilun Li , Thomas Beckers

In many cosmological inference problems, the likelihood (the probability of the observed data as a function of the unknown parameters) is unknown or intractable. This necessitates approximations and assumptions, which can lead to incorrect…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-02 Niall Jeffrey , Justin Alsing , François Lanusse

We revisit the Blind Deconvolution problem with a focus on understanding its robustness and convergence properties. Provable robustness to noise and other perturbations is receiving recent interest in vision, from obtaining immunity to…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Sathya N. Ravi , Ronak Mehta , Vikas Singh

In this paper, new probability bounds are derived for algebraic lattice codes. This is done by using the Dedekind zeta functions of the algebraic number fields involved in the lattice constructions. In particular, it is shown how to upper…

Information Theory · Computer Science 2013-04-19 Camilla Hollanti , Emanuele Viterbo , David Karpuk

This paper presents a joint blinding and deblinding strategy for inference of physical laws from astronomical data. The strategy allows for up to three blinding stages, where the data may be blinded, the computations of theoretical physics…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-15 Elena Sellentin

In this paper, we present a novel method for achieving dexterous manipulation of complex objects, while simultaneously securing the object without the use of passive support surfaces. We posit that a key difficulty for training such…

Metric learning is an important problem in machine learning. It aims to group similar examples together. Existing state-of-the-art metric learning approaches require class labels to learn a metric. As obtaining class labels in all…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Ujjal Kr Dutta , Mehrtash Harandi , Chellu Chandra Sekhar

The blind deconvolution problem seeks to recover a pair of vectors from a set of rank one bilinear measurements. We consider a natural nonsmooth formulation of the problem and show that under standard statistical assumptions, its moduli of…

Optimization and Control · Mathematics 2019-01-21 Vasileios Charisopoulos , Damek Davis , Mateo Díaz , Dmitriy Drusvyatskiy