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We investigate the use of sparse coding and dictionary learning in the context of multitask and transfer learning. The central assumption of our learning method is that the tasks parameters are well approximated by sparse linear…

机器学习 · 计算机科学 2014-06-17 Andreas Maurer , Massimiliano Pontil , Bernardino Romera-Paredes

In modern science, computer models are often used to understand complex phenomena, and a thriving statistical community has grown around analyzing them. This review aims to bring a spotlight to the growing prevalence of stochastic computer…

These notes are an account of a series of lectures given at the Les Houches Summer School "Active Matter and Non-equilibrium Statistical Physics" during August and September 2018.

生物物理 · 物理学 2020-12-04 Erwin Frey , Fridtjof Brauns

The Explorations in Statistics Research workshop is a one-week NSF-funded summer program that introduces undergraduate students to current research problems in applied statistics. The goal of the workshop is to expose students to exciting,…

其他统计学 · 统计学 2015-08-25 Deborah Nolan , Duncan Temple Lang

We propose an algorithm for rotational sparse coding along with an efficient implementation using steerability. Sparse coding (also called dictionary learning) is an important technique in image processing, useful in inverse problems,…

图像与视频处理 · 电气工程与系统科学 2020-01-31 Michael T. McCann , Vincent Andrearczyk , Michael Unser , Adrien Depeursinge

This volume contains the proceedings of the Sixth International Workshop on Computing with Terms and Graphs (TERMGRAPH 2011). The workshop took place in Saarbruecken, Germany, on April 2nd, 2011, as part of the fourteenth edition of the…

计算机科学中的逻辑 · 计算机科学 2011-02-14 Rachid Echahed

Inspired by recent work on convex formulations of clustering (Lashkari & Golland, 2008; Nowozin & Bakir, 2008) we investigate a new formulation of the Sparse Coding Problem (Olshausen & Field, 1997). In sparse coding we attempt to…

机器学习 · 计算机科学 2012-05-14 David M. Bradley , J Andrew Bagnell

We present a comprehensive framework for structured sparse coding and modeling extending the recent ideas of using learnable fast regressors to approximate exact sparse codes. For this purpose, we develop a novel block-coordinate proximal…

机器学习 · 计算机科学 2012-06-22 Alex Bronstein , Pablo Sprechmann , Guillermo Sapiro

This is the write-up of the talk I gave at the 23rd International Symposium on Mathematical Programming (ISMP) in Bordeaux, France, July 6th, 2018. The talk was a general overview of the state of the art of time-varying, mainly convex,…

最优化与控制 · 数学 2018-08-02 Andrea Simonetto

This paper is mainly a semi-tutorial introduction to elementary algebraic topology and its applications to Ising-type models of statistical physics, using graphical models of linear and group codes. It contains new material on systematic…

信息论 · 计算机科学 2018-12-20 G. David Forney

These are lecture notes for the lecture "Statistical Treatment, Fourier and Modal Decompositions", given at the VKI Lecture series "Fundamentals and Recent Advances in Particle Image Velocimetry and Lagrangian Particle Tracking". The course…

流体动力学 · 物理学 2022-01-12 Miguel Alfonso Mendez

These lecture notes were written with the aim to provide an accessible though technically solid introduction to the logic of systematical analyses of statistical data to both undergraduate and postgraduate students, in particular in the…

应用统计 · 统计学 2019-09-02 Henk van Elst

Probabilistic ideas and tools have recently begun to permeate into several fields where they had traditionally not played a major role, including fields such as numerical linear algebra and optimization. One of the key ways in which these…

数值分析 · 数学 2016-12-20 Robert M. Gower

We propose a new method for learning word representations using hierarchical regularization in sparse coding inspired by the linguistic study of word meanings. We show an efficient learning algorithm based on stochastic proximal methods…

计算与语言 · 计算机科学 2014-11-07 Dani Yogatama , Manaal Faruqui , Chris Dyer , Noah A. Smith

Numerical methods play an ever more important role in astrophysics. This is especially true in theoretical works, but of course, even in purely observational projects, data analysis without massive use of computational methods has become…

星系天体物理 · 物理学 2014-12-18 Volker Springel

We propose novel iterative learning control algorithms to track a reference trajectory in resource-constrained control systems. In many applications, there are constraints on the number of control actions, delivered to the actuator from the…

最优化与控制 · 数学 2017-09-29 Burak Demirel , Euhanna Ghadimi , Daniel E. Quevedo

Introductory statistical inference texts and courses treat the point estimation, hypothesis testing, and interval estimation problems separately, with primary emphasis on large-sample approximations. Here I present an alternative approach…

其他统计学 · 统计学 2017-07-14 Ryan Martin

Modern technologies are generating ever-increasing amounts of data. Making use of these data requires methods that are both statistically sound and computationally efficient. Typically, the statistical and computational aspects are treated…

统计方法学 · 统计学 2022-09-15 Mahsa Taheri , Néhémy Lim , Johannes Lederer

This paper develops methods of distributed Bayesian hypothesis tests for fault detection and diagnosis that are based on belief propagation and optimization in graphical models. The main challenges in developing distributed statistical…

系统与控制 · 计算机科学 2015-01-20 Kwang-Ki K. Kim

Sparse coding aims to model data vectors as sparse linear combinations of basis elements, but a majority of related studies are restricted to continuous data without spatial or temporal structure. A new model-based sparse coding (MSC)…

统计方法学 · 统计学 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong