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The growing interest for high dimensional and functional data analysis led in the last decade to an important research developing a consequent amount of techniques. Parallelized algorithms, which consist in distributing and treat the data…

Statistics Theory · Mathematics 2017-10-24 Antoine Godichon-Baggioni , Sofiane Saadane

Calibration is a well-studied property of predictors which guarantees meaningful uncertainty estimates. Multicalibration is a related notion -- originating in algorithmic fairness -- which requires predictors to be simultaneously calibrated…

Machine Learning · Computer Science 2024-11-06 Dutch Hansen , Siddartha Devic , Preetum Nakkiran , Vatsal Sharan

We introduce the smoothed analysis of algorithms, which is a hybrid of the worst-case and average-case analysis of algorithms. In smoothed analysis, we measure the maximum over inputs of the expected performance of an algorithm under small…

Data Structures and Algorithms · Computer Science 2009-09-25 Daniel A. Spielman , Shang-Hua Teng

We introduce a visual analysis method for multiple causal graphs with different outcome variables, namely, multi-outcome causal graphs. Multi-outcome causal graphs are important in healthcare for understanding multimorbidity and…

Machine Learning · Computer Science 2026-05-01 Mengjie Fan , Jinlu Yu , Daniel Weiskopf , Nan Cao , Huai-Yu Wang , Liang Zhou

Meta-analysis is a systematic approach for understanding a phenomenon by analyzing the results of many previously published experimental studies. It is central to deriving conclusions about the summary effect of treatments and interventions…

Computers and Society · Computer Science 2021-04-13 Lu Cheng , Dmitriy A. Katz-Rogozhnikov , Kush R. Varshney , Ioana Baldini

The overview-driven visual analysis of large-scale dynamic graphs poses a major challenge. We propose Multiscale Snapshots, a visual analytics approach to analyze temporal summaries of dynamic graphs at multiple temporal scales. First, we…

Human-Computer Interaction · Computer Science 2020-09-17 Eren Cakmak , Udo Schlegel , Dominik Jäckle , Daniel Keim , Tobias Schreck

Finding a \emph{single} best solution is the most common objective in combinatorial optimization problems. However, such a single solution may not be applicable to real-world problems as objective functions and constraints are only…

Data Structures and Algorithms · Computer Science 2022-01-25 Tesshu Hanaka , Masashi Kiyomi , Yasuaki Kobayashi , Yusuke Kobayashi , Kazuhiro Kurita , Yota Otachi

This article is concerned with the mathematical analysis of a family of adaptive importance sampling algorithms applied to diffusion processes. These methods, referred to as Adaptive Biasing Potential methods, are designed to efficiently…

Probability · Mathematics 2018-05-10 Michel Benaïm , Charles-Edouard Bréhier

Randomized linear solvers randomly compress and solve a linear system with compelling theoretical convergence rates and computational complexities. However, such solvers suffer a substantial disconnect between their theoretical rates and…

Numerical Analysis · Mathematics 2023-05-01 Vivak Patel , Mohammad Jahangoshahi , Daniel Adrian Maldonado

Sampling from multimodal distributions is a challenging task in scientific computing. When a distribution has an exact symmetry between the modes, direct jumps among them can accelerate the samplings significantly. However, the…

Numerical Analysis · Mathematics 2024-01-05 Lexing Ying

Variational Bayes (VB) has shown itself to be a powerful approximation method in many application areas. This paper describes some diagnostics methods which can assess how well the VB approximates the true posterior, particularly with…

Computation · Statistics 2013-09-23 Hui Zhao , Paul Marriott

With the popularity of massive open online courses, grading through crowdsourcing has become a prevalent approach towards large scale classes. However, for getting grades for complex tasks, which require specific skills and efforts for…

Artificial Intelligence · Computer Science 2017-03-31 Lingyu Lyu , Mehmed Kantardzic

Recently, deep learning has been advancing the state of the art in artificial intelligence to a new level, and humans rely on artificial intelligence techniques more than ever. However, even with such unprecedented advancements, the lack of…

Human-Computer Interaction · Computer Science 2018-04-10 Jaegul Choo , Shixia Liu

The paper gives a systematic study of the approximate versions of three greedy-type algorithms that are widely used in convex optimization. By approximate version we mean the one where some of evaluations are made with an error. Importance…

Machine Learning · Statistics 2014-12-11 Vladimir Temlyakov

Visualisation is an effective way to facilitate the analysis and understanding of multivariate data. In the context of multi-objective optimisation, comparing to quantitative performance metrics, visualisation is, in principle, able to…

Neural and Evolutionary Computing · Computer Science 2019-03-06 Huiru Gao , Haifeng Nie , Ke Li

In this paper, we propose a generic framework for devising an adaptive approximation scheme for value function approximation in reinforcement learning, which introduces multiscale approximation. The two basic ingredients are multiresolution…

Machine Learning · Computer Science 2019-08-26 Tao Li , Quanyan Zhu

The promise of multimodal models for real-world applications has inspired research in visualizing and understanding their internal mechanics with the end goal of empowering stakeholders to visualize model behavior, perform model debugging,…

In this paper we consider a problem, called convex projection, of projecting a convex set onto a subspace. We will show that to a convex projection one can assign a particular multi-objective convex optimization problem, such that the…

Optimization and Control · Mathematics 2021-10-18 Gabriela Kováčová , Birgit Rudloff

For a learning task, data can usually be collected from different sources or be represented from multiple views. For example, laboratory results from different medical examinations are available for disease diagnosis, and each of them can…

Machine Learning · Computer Science 2018-03-28 Bokai Cao , Hucheng Zhou , Guoqiang Li , Philip S. Yu

Chemical multisensor devices need calibration algorithms to estimate gas concentrations. Their possible adoption as indicative air quality measurements devices poses new challenges due to the need to operate in continuous monitoring modes…

Artificial Intelligence · Computer Science 2020-02-14 S. De Vito , E. Esposito , M. Salvato , O. Popoola , F. Formisano , R. Jones , G. Di Francia
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