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Leverage score sampling provides an appealing way to perform approximate computations for large matrices. Indeed, it allows to derive faithful approximations with a complexity adapted to the problem at hand. Yet, performing leverage scores…

机器学习 · 统计学 2019-01-25 Alessandro Rudi , Daniele Calandriello , Luigi Carratino , Lorenzo Rosasco

Recent neural network and language models rely on softmax distributions with an extremely large number of categories. Since calculating the softmax normalizing constant in this context is prohibitively expensive, there is a growing…

机器学习 · 统计学 2018-03-26 Francois Fagan , Garud Iyengar

We propose a novel polyhedral uncertainty set for robust optimization, termed the smooth uncertainty set, which captures dependencies of uncertain parameters by constraining their pairwise differences. The bounds on these differences may be…

最优化与控制 · 数学 2025-10-13 Noam Goldberg , Michael Poss , Shimrit Shtern

We develop a full-fledged analysis of an algorithmic decision process that, in a multialternative choice problem, produces computable choice probabilities and expected decision times.

理论经济学 · 经济学 2023-05-08 Carlo Baldassi , Fabio Maccheroni , Massimo Marinacci , Marco Pirazzini

The cluster soft point is an attempt to introduce a novel generalization of the soft closure point and the soft limit point. A cluster soft set is defined to be the system of all cluster soft points of a soft set. Then the fundamental…

一般拓扑 · 数学 2023-10-24 Zanyar A. Ameen , Samer Al Ghour

The purpose of this text is to provide an accessible introduction to a set of recently developed algorithms for factorizing matrices. These new algorithms attain high practical speed by reducing the dimensionality of intermediate…

数值分析 · 数学 2019-02-08 Per-Gunnar Martinsson

We review our recent work in the area of autonomous materials research, highlighting the coupling of machine learning methods and models and more problem-aware modeling. We review the general Bayesian framework for closed-loop design…

材料科学 · 物理学 2021-03-16 Soojung Baek , Kristofer G. Reyes

In recent years, randomized algorithms have established themselves as fundamental tools in computational linear algebra, with applications in scientific computing, machine learning, and quantum information science. Many randomized matrix…

数值分析 · 数学 2025-12-19 Ethan N. Epperly

Soft robots are naturally designed to perform safe interactions with their environment, like locomotion and manipulation. In the literature, there are now many concepts, often bio-inspired, to propose new modes of locomotion or grasping.…

机器人学 · 计算机科学 2023-10-27 Etienne Ménager , Quentin Peyron , Christian Duriez

Medical diagnosis process vary in the degree to which they attempt to deal with different complicating aspects of diagnosis such as relative importance of symptoms, varied symptom pattern and the relation between diseases them selves. Based…

人工智能 · 计算机科学 2013-01-28 B. K. Tripathy , D. P. Acharjya , V. Cynthya

The notion of soft sets is introduced as a general mathematical tool for dealing with uncertainty. In this paper, we consider the concepts of soft compactness, countably soft compactness and obtain some results. We study some soft…

综合数学 · 数学 2014-01-28 E. Peyghan , B. Samadi , A. Tayebi

The optimization along the chain processing-structure-properties-performance is one of the core objectives in data-driven materials science. In this sense, processes are supposed to manufacture workpieces with targeted material…

材料科学 · 物理学 2022-03-24 Tarek Iraki , Lukas Morand , Johannes Dornheim , Norbert Link , Dirk Helm

Optimization is ubiquitous in our daily lives. In the past, (sub-)optimal solutions to any problem have been derived by trial and error, sheer luck, or the expertise of knowledgeable individuals. In our contemporary age, there thankfully…

神经与进化计算 · 计算机科学 2023-12-07 Raphael Patrick Prager

Submodular function optimization has numerous applications in machine learning and data analysis, including data summarization which aims to identify a concise and diverse set of data points from a large dataset. It is important to…

数据结构与算法 · 计算机科学 2023-04-11 Shaojie Tang , Jing Yuan , Twumasi Mensah-Boateng

Optimizing decision problems under uncertainty can be done using a variety of solution methods. Soft computing and heuristic approaches tend to be powerful for solving such problems. In this overview article, we survey Evolutionary…

神经与进化计算 · 计算机科学 2014-01-21 Ronald Hochreiter

The motion planning problem is a fundamental problem in robotics, so that every autonomous robot should be able to deal with it. A number of solutions have been proposed and a probabilistic one seems to be quite reasonable. However, here we…

机器人学 · 计算机科学 2018-05-11 Kyriakos Papadopoulos , Apostolos Syropoulos

The ability of a soft robot to perform specific tasks is determined by its contact configuration, and transitioning between configurations is often necessary to reach a desired position or manipulate an object. Based on this observation, we…

机器人学 · 计算机科学 2024-02-22 Etienne Ménager , Christian Duriez

Soft materials play an integral part in many aspects of modern life including autonomy, sustainability, and human health, and their accurate modeling is critical to understand their unique properties and functions. Today's finite element…

计算工程、金融与科学 · 计算机科学 2024-09-24 Mathias Peirlinck , Juan A. Hurtado , Manuel K. Rausch , Adrian Buganza Tepole , Ellen Kuhl

Sparse matrix factorization is a popular tool to obtain interpretable data decompositions, which are also effective to perform data completion or denoising. Its applicability to large datasets has been addressed with online and randomized…

机器学习 · 统计学 2017-11-15 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gaël Varoquaux

Machine learning was utilized to efficiently boost the development of soft magnetic materials. The design process includes building a database composed of published experimental results, applying machine learning methods on the database,…