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For a given metric measure space $(X,d,\mu)$ we consider finite samples of points, calculate the matrix of distances between them and then reconstruct the points in some finite-dimensional space using the multidimensional scaling (MDS)…

Metric Geometry · Mathematics 2022-08-02 Alexey Kroshnin , Eugene Stepanov , Dario Trevisan

Multidimensional scaling (MDS) is a popular technique for mapping a finite metric space into a low-dimensional Euclidean space in a way that best preserves pairwise distances. We overview the theory of classical MDS, along with its…

Statistics Theory · Mathematics 2020-07-14 Henry Adams , Mark Blumstein , Lara Kassab

We present a novel and scalable label embedding framework for large-scale multi-label learning a.k.a ExMLDS (Extreme Multi-Label Learning using Distributional Semantics). Our approach draws inspiration from ideas rooted in distributional…

Machine Learning · Computer Science 2017-11-13 Rahul Wadbude , Vivek Gupta , Piyush Rai , Nagarajan Natarajan , Harish Karnick , Prateek Jain

We study Off-Policy Evaluation (OPE) in contextual bandit settings with large action spaces. The benchmark estimators suffer from severe bias and variance tradeoffs. Parametric approaches suffer from bias due to difficulty specifying the…

Machine Learning · Statistics 2023-12-15 Tatsuhiro Shimizu , Laura Forastiere

Comparing conditional distributions is a fundamental challenge in statistics and machine learning, with applications across a wide range of domains. While proposed methods for measuring discrepancies using kernel embeddings of distributions…

Machine Learning · Statistics 2026-05-05 Peter Moskvichev , Siu Lun Chau , Dino Sejdinovic

Understanding size and scale (USS) and order-of-magnitude reasoning (OMR) are critical for scientific literacy. This study examines an educational approach to enhance these skills in high school science, considering the cognitive…

Physics Education · Physics 2024-05-28 Cedric Loretan , Andreas Müller , Marine Delaval , Sebastien Roch , Laura Weiss

Transcranial magnetic stimulation (TMS) is a technique for noninvasively stimulating a brain area for therapeutic, rehabilitation treatments and neuroscience research. Despite our understanding of the physical principles and experimental…

Neurons and Cognition · Quantitative Biology 2020-12-30 Jose Gomez-Tames , Ilkka Laakso , Akimasa Hirata

The landmark multi-dimensional scaling (LMDS) is a leading method that embeds new points to an existing coordinate system based on observed distance information. It has long been known as a variant of Nystr\"{o}m algorithm. It was recently…

Optimization and Control · Mathematics 2025-09-16 Ting Ouyang , Lingchen Kong , Houduo Qi

This study proposes a novel method for estimation and hypothesis testing in high-dimensional single-index models. We address a common scenario where the sample size and the dimension of regression coefficients are large and comparable.…

Statistics Theory · Mathematics 2024-04-30 Kazuma Sawaya , Yoshimasa Uematsu , Masaaki Imaizumi

Living systems process sensory data to facilitate adaptive behaviour. A given sensor can be stimulated as the result of internally driven activity, or by purely external (environmental) sources. It is clear that these inputs are processed…

Neural and Evolutionary Computing · Computer Science 2022-05-16 James Garner , Matthew Egbert

Previous methods evaluate reward models by testing them on a fixed pairwise ranking test set, but they typically do not provide performance information on each preference dimension. In this work, we address the evaluation challenge of…

Computation and Language · Computer Science 2025-11-18 Chenglong Wang , Yifu Huo , Yang Gan , Yongyu Mu , Qiaozhi He , Murun Yang , Bei Li , Chunliang Zhang , Tongran Liu , Anxiang Ma , Zhengtao Yu , Jingbo Zhu , Tong Xiao

Image ranking is to rank images based on some known ranked images. In this paper, we propose an improved linear ordinal distance metric learning approach based on the linear distance metric learning model. By decomposing the distance metric…

Machine Learning · Computer Science 2019-02-28 Panpan Yu , Qingna Li

Distributional semantic models capture word-level meaning that is useful in many natural language processing tasks and have even been shown to capture cognitive aspects of word meaning. The majority of these models are purely text based,…

Computation and Language · Computer Science 2022-03-31 Danny Merkx , Stefan L. Frank , Mirjam Ernestus

Blind methods often separate or identify signals or signal subspaces up to an unknown scaling factor. Sometimes it is necessary to cope with the scaling ambiguity, which can be done through reconstructing signals as they are received by…

Sound · Computer Science 2017-08-02 Zbyněk Koldovský , Francesco Nesta

The stage and severity of Parkinson's disease (PD) is an important factor to consider for taking effective therapeutic decisions. Although the Movement Disorder Society-Unified Parkinson's Disease Rating Scale (MDS-UPDRS) provides an…

Applications · Statistics 2018-05-30 R. Prashanth , Sumantra Dutta Roy

Standard (network) meta-analysis methods for medical test accuracy evaluation analyse the data separately for each test threshold - wasting data - unless every study reports all thresholds. Previously proposed "multiple threshold" models…

This work investigates the role of factors like training method, training corpus size and thematic relevance of texts in the performance of word embedding features on sentiment analysis of tweets, song lyrics, movie reviews and item…

Computation and Language · Computer Science 2019-02-05 Erion Çano , Maurizio Morisio

Motivated by recent work on ordinal embedding (Kleindessner and von Luxburg, 2014), we derive large sample consistency results and rates of convergence for the problem of embedding points based on triple or quadruple distance comparisons.…

Statistics Theory · Mathematics 2016-05-05 Ery Arias-Castro

Modelling semantic similarity plays a fundamental role in lexical semantic applications. A natural way of calculating semantic similarity is to access handcrafted semantic networks, but similarity prediction can also be anticipated in a…

Computation and Language · Computer Science 2022-10-03 Dongqiang Yang , Yanqin Yin

This paper presents our work on "SNaCK," a low-dimensional concept embedding algorithm that combines human expertise with automatic machine similarity kernels. Both parts are complimentary: human insight can capture relationships that are…

Computer Vision and Pattern Recognition · Computer Science 2015-09-29 Michael J. Wilber , Iljung S. Kwak , David Kriegman , Serge Belongie