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Neural networks can be trained to rank the choices made by logical reasoners, resulting in more efficient searches for answers. A key step in this process is creating useful embeddings, i.e., numeric representations of logical statements.…

人工智能 · 计算机科学 2026-05-21 Yifan Zhang , Yasir White , Dean Clark , Joseph Sanchez , Jevon Lipsey , Ashely Hirst , Jeff Heflin

Learning high-quality embeddings for rare words is a hard problem because of sparse context information. Mimicking (Pinter et al., 2017) has been proposed as a solution: given embeddings learned by a standard algorithm, a model is first…

计算与语言 · 计算机科学 2019-04-08 Timo Schick , Hinrich Schütze

Topic models provide a useful method for dimensionality reduction and exploratory data analysis in large text corpora. Most approaches to topic model inference have been based on a maximum likelihood objective. Efficient algorithms exist…

机器学习 · 计算机科学 2012-12-20 Sanjeev Arora , Rong Ge , Yoni Halpern , David Mimno , Ankur Moitra , David Sontag , Yichen Wu , Michael Zhu

Word embedding, which encodes words into vectors, is an important starting point in natural language processing and commonly used in many text-based machine learning tasks. However, in most current word embedding approaches, the similarity…

计算与语言 · 计算机科学 2018-12-27 Denis Sedov , Zhirong Yang

In an ordinary feature selection procedure, a set of important features is obtained by solving an optimization problem such as the Lasso regression problem, and we expect that the obtained features explain the data well. In this study,…

机器学习 · 统计学 2018-10-16 Satoshi Hara , Takanori Maehara

We present hash embeddings, an efficient method for representing words in a continuous vector form. A hash embedding may be seen as an interpolation between a standard word embedding and a word embedding created using a random hash function…

计算与语言 · 计算机科学 2017-09-13 Dan Svenstrup , Jonas Meinertz Hansen , Ole Winther

Conventional word embeddings represent words with fixed vectors, which are usually trained based on co-occurrence patterns among words. In doing so, however, the power of such representations is limited, where the same word might be…

计算与语言 · 计算机科学 2020-01-10 Hongming Zhang , Jiaxin Bai , Yan Song , Kun Xu , Changlong Yu , Yangqiu Song , Wilfred Ng , Dong Yu

Word embeddings are a powerful natural language processing technique, but they are extremely difficult to interpret. To enable interpretable NLP models, we create vectors where each dimension is inherently interpretable. By inherently…

计算与语言 · 计算机科学 2021-09-29 Adly Templeton

Adding interpretability to word embeddings represents an area of active research in text representation. Recent work has explored thepotential of embedding words via so-called polar dimensions (e.g. good vs. bad, correct vs. wrong).…

计算与语言 · 计算机科学 2023-01-13 Jan Engler , Sandipan Sikdar , Marlene Lutz , Markus Strohmaier

Embeddings are a basic initial feature extraction step in many machine learning models, particularly in natural language processing. An embedding attempts to map data tokens to a low-dimensional space where similar tokens are mapped to…

机器学习 · 计算机科学 2025-04-10 Golara Ahmadi Azar , Melika Emami , Alyson Fletcher , Sundeep Rangan

Ambiguity is ubiquitous in natural language. Resolving ambiguous meanings is especially important in information retrieval tasks. While word embeddings carry semantic information, they fail to handle ambiguity well. Transformer models have…

计算与语言 · 计算机科学 2023-07-26 Matthias Thurnbauer , Johannes Reisinger , Christoph Goller , Andreas Fischer

In data dominated systems and applications, a concept of representing words in a numerical format has gained a lot of attention. There are a few approaches used to generate such a representation. An interesting issue that should be…

计算与语言 · 计算机科学 2020-12-08 Shahin Atakishiyev , Marek Z. Reformat

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

Word embeddings have become the basic building blocks for several natural language processing and information retrieval tasks. Pre-trained word embeddings are used in several downstream applications as well as for constructing…

计算与语言 · 计算机科学 2017-11-22 Vikas Raunak

Convex hulls are useful as tight bounding proxies for a variety of tasks including collision detection, ray intersection, and distance computation. Unfortunately, the complexity of polyhedral convex hulls grows linearly with their input. We…

图形学 · 计算机科学 2026-04-17 Alec Jacobson

This study presents a novel algorithm for identifying the set of extreme points that constitute the exact convex hull of a point set in high-dimensional Euclidean space. The proposed method iteratively solves a sequence of dynamically…

计算几何 · 计算机科学 2025-11-11 Qianwei Zhuang

The problem of convex optimization is studied. Usually in convex optimization the minimization is over a d-dimensional domain. Very often the convergence rate of an optimization algorithm depends on the dimension d. The algorithms studied…

机器学习 · 统计学 2015-11-05 Vladimir Temlyakov

Writing an uncomplicated, robust, and scalable three-dimensional convex hull algorithm is challenging and problematic. This includes, coplanar and collinear issues, numerical accuracy, performance, and complexity trade-offs. While there are…

计算几何 · 计算机科学 2023-04-11 Ben Kenwright

Greedy algorithms which use only function evaluations are applied to convex optimization in a general Banach space $X$. Along with algorithms that use exact evaluations, algorithms with approximate evaluations are treated. A priori upper…

机器学习 · 统计学 2014-01-03 R. A. DeVore , V. N. Temlyakov

Word embedding, specially with its recent developments, promises a quantification of the similarity between terms. However, it is not clear to which extent this similarity value can be genuinely meaningful and useful for subsequent tasks.…

计算与语言 · 计算机科学 2018-04-05 Navid Rekabsaz , Mihai Lupu , Allan Hanbury