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Previous research on word embeddings has shown that sparse representations, which can be either learned on top of existing dense embeddings or obtained through model constraints during training time, have the benefit of increased…

计算与语言 · 计算机科学 2018-09-26 Valentin Trifonov , Octavian-Eugen Ganea , Anna Potapenko , Thomas Hofmann

Distance metric learning algorithms aim to appropriately measure similarities and distances between data points. In the context of clustering, metric learning is typically applied with the assist of side-information provided by experts,…

机器学习 · 计算机科学 2021-05-27 Rodrigo Randel , Daniel Aloise , Alain Hertz

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

统计方法学 · 统计学 2020-08-04 Muxuan Liang , Menggang Yu

The beneficial effects of treatments vary across individuals in most studies. Treatment heterogeneity motivates practitioners to search for the optimal policy based on personal characteristics. A long-standing common practice in policy…

统计理论 · 数学 2025-01-06 Xuqiao Li , Ying Yan

In matched observational studies with continuous treatments, individuals with different treatment doses but the same or similar covariate values are paired for causal inference. While inexact covariate matching (i.e., covariate imbalance…

统计方法学 · 统计学 2025-02-13 Anthony Frazier , Siyu Heng , Wen Zhou

Statistical matching is an effective method for estimating causal effects in which treated units are paired with control units with ``similar'' values of confounding covariates prior to performing estimation. In this way, matching helps…

统计方法学 · 统计学 2023-09-13 Sanjeewani Weerasingha , Michael J. Higgins

Testing the independence between random vectors is a fundamental problem in statistics. Distance correlation, a recently popular dependence measure, is universally consistent for testing independence against all distributions with finite…

统计方法学 · 统计学 2024-08-22 Yuwei Ke , Hok Kan Ling , Yanglei Song

We study the problem of supervised learning a metric space under discriminative constraints. Given a universe $X$ and sets ${\cal S}, {\cal D}\subset {X \choose 2}$ of similar and dissimilar pairs, we seek to find a mapping $f:X\to Y$, into…

计算几何 · 计算机科学 2019-03-20 Diego Ihara Centurion , Neshat Mohammadi , Anastasios Sidiropoulos

Learning systems match predicted scores to observations over some domain. Often, it is critical to produce accurate predictions in some subset (or region) of the domain, yet less important to accurately predict in other regions. We…

机器学习 · 计算机科学 2025-06-11 Gil I. Shamir , Manfred K. Warmuth

The performance of distance-based classifiers heavily depends on the underlying distance metric, so it is valuable to learn a suitable metric from the data. To address the problem of multimodality, it is desirable to learn local metrics. In…

机器学习 · 计算机科学 2018-02-13 Mingzhi Dong , Yujiang Wang , Xiaochen Yang , Jing-Hao Xue

Distance metric learning has attracted a lot of interest for solving machine learning and pattern recognition problems over the last decades. In this work we present a simple approach based on concepts from statistical physics to learn…

机器学习 · 计算机科学 2021-06-11 Dusan Stosic , Darko Stosic , Teresa B. Ludermir , Borko Stosic

Estimating some mathematical expectations from partially observed data and in particular missing outcomes is a central problem encountered in numerous fields such as transfer learning, counterfactual analysis or causal inference. Matching…

统计理论 · 数学 2025-05-01 Simon Viel , Lionel Truquet , Ikko Yamane

Additive models form a widely popular class of regression models which represent the relation between covariates and response variables as the sum of low-dimensional transfer functions. Besides flexibility and accuracy, a key benefit of…

机器学习 · 统计学 2015-05-20 Alhussein Fawzi , Mathieu Sinn , Pascal Frossard

Distance metric learning (DML) has been studied extensively in the past decades for its superior performance with distance-based algorithms. Most of the existing methods propose to learn a distance metric with pairwise or triplet…

机器学习 · 计算机科学 2019-05-23 Qi Qian , Jiasheng Tang , Hao Li , Shenghuo Zhu , Rong Jin

The distance standard deviation, which arises in distance correlation analysis of multivariate data, is studied as a measure of spread. The asymptotic distribution of the empirical distance standard deviation is derived under the assumption…

统计理论 · 数学 2019-12-12 Dominic Edelmann , Donald Richards , Daniel Vogel

Data types that lie in metric spaces but not in vector spaces are difficult to use within the usual regression setting, either as the response and/or a predictor. We represent the information in these variables using distance matrices which…

统计方法学 · 统计学 2016-01-20 Julian Faraway

Temporal distances lie at the heart of many algorithms for planning, control, and reinforcement learning that involve reaching goals, allowing one to estimate the transit time between two states. However, prior attempts to define such…

机器学习 · 计算机科学 2025-03-11 Vivek Myers , Chongyi Zheng , Anca Dragan , Sergey Levine , Benjamin Eysenbach

Reliability is an essential measure of how closely observed scores represent latent scores (reflecting constructs), assuming some latent variable measurement model. We present a general theoretical framework of reliability, placing emphasis…

统计方法学 · 统计学 2024-10-29 Yang Liu , Jolynn Pek , Alberto Maydeu-Olivares

The distance covariance of Sz\'ekely, et al. [23] and Sz\'ekely and Rizzo [21], a powerful measure of dependence between sets of multivariate random variables, has the crucial feature that it equals zero if and only if the sets are mutually…

统计理论 · 数学 2022-06-22 Dominic Edelmann , Tobias Terzer , Donald Richards

While deep neural networks have achieved remarkable performance, they tend to lack transparency in prediction. The pursuit of greater interpretability in neural networks often results in a degradation of their original performance. Some…

计算机视觉与模式识别 · 计算机科学 2024-08-09 Hefeng Wu , Hao Jiang , Keze Wang , Ziyi Tang , Xianghuan He , Liang Lin