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This paper explores large sample properties of the two-parameter $(\alpha,\theta)$ Poisson--Dirichlet Process in two contexts. In a Bayesian context of estimating an unknown probability measure, viewing this process as a natural extension…

概率论 · 数学 2008-05-21 Lancelot F. James

We propose a template matching method for the detection of 2D image objects that are characterized by orientation patterns. Our method is based on data representations via orientation scores, which are functions on the space of positions…

计算机视觉与模式识别 · 计算机科学 2017-03-10 Erik J. Bekkers , Marco Loog , Bart M. ter Haar Romeny , Remco Duits

Template matching is one of the simplest methods used for eyes and mouth detection. However, it can be modified and extended to become a powerful tool. Since the patch itself plays a significant role in optimizing detection performance, a…

计算机视觉与模式识别 · 计算机科学 2010-07-13 Lim Huey Charn , Liyana Nuraini Rasid , Shahrel A. Suandi

Importance sampling approximates expectations with respect to a target measure by using samples from a proposal measure. The performance of the method over large classes of test functions depends heavily on the closeness between both…

统计计算 · 统计学 2016-09-01 Daniel Sanz-Alonso

Many scientific and engineering challenges -- ranging from pharmacokinetic drug dosage allocation and personalized medicine to marketing mix (4Ps) recommendations -- require an understanding of the unobserved heterogeneity in order to…

统计方法学 · 统计学 2017-08-17 Jelena Bradic , Gerda Claeskens , Thomas Gueuning

Propensity score matching is a tool for causal inference in non-randomized studies that allows for conditioning on large sets of covariates. The use of propensity scores in the social sciences is currently experiencing a tremendous…

应用统计 · 统计学 2012-02-01 Felix Thoemmes

Let (X_n,Y_n) be i.i.d. random vectors. Let W(x) be the partial sum of Y_n just before that of X_n exceeds x>0. Motivated by stochastic models for neural activity, uniform convergence of the form $\sup_{c\in I}|a(c,x)\operatorname…

概率论 · 数学 2009-09-29 Zhiyi Chi

Characterizing judgments of similarity within a perceptual or semantic domain, and making inferences about the underlying structure of this domain from these judgments, has an increasingly important role in cognitive and systems…

神经元与认知 · 定量生物学 2025-08-13 Jonathan D. Victor , Guillermo Aguilar , Suniyya A. Waraich

Humans are accustomed to environments that contain both regularities and exceptions. For example, at most gas stations, one pays prior to pumping, but the occasional rural station does not accept payment in advance. Likewise, deep neural…

机器学习 · 计算机科学 2021-06-16 Ziheng Jiang , Chiyuan Zhang , Kunal Talwar , Michael C. Mozer

This paper proposes a model of interactions between two point processes, ruled by a reproduction function h, which is considered as the intensity of a Poisson process. In particular, we focus on the context of neurosciences to detect…

统计理论 · 数学 2014-03-07 Laure Sansonnet , Christine Tuleau-Malot

Given the remarkable capabilities of large language models (LLMs), there has been a growing interest in evaluating their similarity to the human brain. One approach towards quantifying this similarity is by measuring how well a model…

计算与语言 · 计算机科学 2024-06-24 Ebrahim Feghhi , Nima Hadidi , Bryan Song , Idan A. Blank , Jonathan C. Kao

We propose a novel measure for template matching named Deformable Diversity Similarity -- based on the diversity of feature matches between a target image window and the template. We rely on both local appearance and geometric information…

计算机视觉与模式识别 · 计算机科学 2017-04-19 Itamar Talmi , Roey Mechrez , Lihi Zelnik-Manor

Intuitively, one would expect accuracy of a trained neural network's prediction on test samples to correlate with how densely the samples are surrounded by seen training samples in representation space. We find that a bound on empirical…

机器学习 · 计算机科学 2022-07-29 Xu Ji , Razvan Pascanu , Devon Hjelm , Balaji Lakshminarayanan , Andrea Vedaldi

Data of the form of event times arise in various applications. A simple model for such data is a non-homogeneous Poisson process (NHPP) which is specified by a rate function that depends on time. We consider the problem of having access to…

机器学习 · 计算机科学 2018-06-22 Duncan Barrack , Simon Preston

While fine-tuning pre-trained models for downstream classification is the conventional paradigm in NLP, often task-specific nuances may not get captured in the resultant models. Specifically, for tasks that take two inputs and require the…

计算与语言 · 计算机科学 2022-03-28 Ashutosh Kumar , Aditya Joshi

Because high-quality data is like oxygen for AI systems, effectively eliciting information from crowdsourcing workers has become a first-order problem for developing high-performance machine learning algorithms. Two prevalent paradigms,…

机器学习 · 计算机科学 2024-02-22 Shengwei Xu , Yichi Zhang , Paul Resnick , Grant Schoenebeck

This article presents a model which is capable of learning and abstracting new concepts based on comparing observations and finding the resemblance between the observations. In the model, the new observations are compared with the templates…

机器学习 · 计算机科学 2011-01-27 Mohammadreza Abolghasemi-Dahaghani , Farzad Didehvar , Alireza Nowroozi

We prove a large deviation principle for the point process associated to $k$-element connected components in $\mathbb R^d$ with respect to the connectivity radii $r_n\to\infty$. The random points are generated from a homogeneous Poisson…

概率论 · 数学 2022-10-19 Christian Hirsch , Takashi Owada

Generating a dissimilarity matrix is typically the first step in big data analysis. Although numerous methods exist, such as Euclidean distance, Minkowski distance, Manhattan distance, Bray Curtis dissimilarity, Jaccard similarity and Dice…

定量方法 · 定量生物学 2024-09-11 Li Tuobang

Existing methods to measure sentence similarity are faced with two challenges: (1) labeled datasets are usually limited in size, making them insufficient to train supervised neural models; (2) there is a training-test gap for unsupervised…

计算与语言 · 计算机科学 2022-02-01 Xiaofei Sun , Yuxian Meng , Xiang Ao , Fei Wu , Tianwei Zhang , Jiwei Li , Chun Fan