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The recent progresses in Machine Learning opened the door to actual applications of learning algorithms but also to new research directions both in the field of Machine Learning directly and, at the edges with other disciplines. The case…

无序系统与神经网络 · 物理学 2023-07-17 Aurélien Decelle

This document consists of lecture notes for a graduate course, which focuses on the relations between Information Theory and Statistical Physics. The course is aimed at EE graduate students in the area of Communications and Information…

信息论 · 计算机科学 2010-06-09 Neri Merhav

We propose and analyze a novel framework for learning sparse representations, based on two statistical techniques: kernel smoothing and marginal regression. The proposed approach provides a flexible framework for incorporating feature…

机器学习 · 统计学 2012-10-04 Krishnakumar Balasubramanian , Kai Yu , Guy Lebanon

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. The lectures can be viewed online at…

软凝聚态物质 · 物理学 2022-12-08 Ramin Golestanian

Learning long-horizon manipulation tasks efficiently is a central challenge in robot learning from demonstration. Unlike recent endeavors that focus on directly learning the task in the action domain, we focus on inferring what the robot…

机器人学 · 计算机科学 2026-02-20 Adrian Röfer , Nick Heppert , Abhinav Valada

This is a set of lecture notes for a course given at the 2005 Summer School in Poisson Geometry held at ICTP-Trieste.

微分几何 · 数学 2007-05-23 Rui Loja Fernandes , Marius Crainic

We present a new model for LT codes which simplifies the analysis of the error probability of decoding by belief propagation. For any given degree distribution, we provide the first rigorous expression for the limiting error probability as…

信息论 · 计算机科学 2007-07-13 Elitza N. Maneva , Amin Shokrollahi

These are lecture notes for lectures at the Park City Math Institute, summer 2007. We cover aspects of the dimer model on planar, periodic bipartite graphs, including local statistics, limit shapes and fluctuations.

概率论 · 数学 2009-10-19 Richard Kenyon

This review maps developments in stochastic modeling, highlighting non-standard approaches and their applications to biology and epidemiology. It brings together four strands: (1) core models for systems that evolve with randomness; (2)…

动力系统 · 数学 2025-10-24 Yassine Sabbar , Kottakkaran Sooppy Nisar

Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. They were first dedicated to linear variable selection but numerous extensions have now emerged such as structured sparsity or kernel…

机器学习 · 计算机科学 2011-11-24 Francis Bach , Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski

One of the crucial tasks in many inference problems is the extraction of sparse information out of a given number of high-dimensional measurements. In machine learning, this is frequently achieved using, as a penality term, the $L_p$ norm…

无序系统与神经网络 · 物理学 2012-02-09 Alejandro Lage-Castellanos , Andrea Pagnani , Martin Weigt

We propose a method for solving statistical mechanics problems defined on sparse graphs. It extracts a small Feedback Vertex Set (FVS) from the sparse graph, converting the sparse system to a much smaller system with many-body and dense…

统计力学 · 物理学 2021-01-15 Feng Pan , Pengfei Zhou , Hai-Jun Zhou , Pan Zhang

As the size of datasets used in statistical learning continues to grow, distributed training of models has attracted increasing attention. These methods partition the data and exploit parallelism to reduce memory and runtime, but suffer…

机器学习 · 计算机科学 2024-07-10 Fred Lu , Ryan R. Curtin , Edward Raff , Francis Ferraro , James Holt

Modelling, simulation and optimization form an integrated part of modern design practice in engineering and industry. Tremendous progress has been observed for all three components over the last few decades. However, many challenging issues…

神经与进化计算 · 计算机科学 2014-04-04 Xin-She Yang , Slawomir Koziel , Leifur Leifsson

Inference problems with conjectured statistical-computational gaps are ubiquitous throughout modern statistics, computer science and statistical physics. While there has been success evidencing these gaps from the failure of restricted…

计算复杂性 · 计算机科学 2020-06-30 Matthew Brennan , Guy Bresler

Probabilistic models such as logistic regression, Bayesian classification, neural networks, and models for natural language processing, are increasingly more present in both undergraduate and graduate statistics and data science curricula…

其他统计学 · 统计学 2023-05-26 Vojtech Kejzlar , Jingchen Hu

Interpretable Multi-Task Learning can be expressed as learning a sparse graph of the task relationship based on the prediction performance of the learned models. Since many natural phenomenon exhibit sparse structures, enforcing sparsity on…

机器学习 · 计算机科学 2020-09-14 Francesco Alesiani , Shujian Yu , Ammar Shaker , Wenzhe Yin

In recent years, a large amount of multi-disciplinary research has been conducted on sparse models and their applications. In statistics and machine learning, the sparsity principle is used to perform model selection---that is,…

计算机视觉与模式识别 · 计算机科学 2014-12-09 Julien Mairal , Francis Bach , Jean Ponce

Advances in machine reading comprehension (MRC) rely heavily on the collection of large scale human-annotated examples in the form of (question, paragraph, answer) triples. In contrast, humans are typically able to generalize with only a…

计算与语言 · 计算机科学 2020-10-15 Qinyuan Ye , Xiao Huang , Elizabeth Boschee , Xiang Ren

In sparse coding, we attempt to extract features of input vectors, assuming that the data is inherently structured as a sparse superposition of basic building blocks. Similarly, neural networks perform a given task by learning features of…

机器学习 · 计算机科学 2022-02-16 Deborah Pereg , Israel Cohen , Anthony A. Vassiliou