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We propose a novel probabilistic dimensionality reduction framework that can naturally integrate the generative model and the locality information of data. Based on this framework, we present a new model, which is able to learn a smooth…

Machine Learning · Statistics 2016-10-18 Li Wang

What is a good vector representation of an object? We believe that it should be generative in 3D, in the sense that it can produce new 3D objects; as well as be predictable from 2D, in the sense that it can be perceived from 2D images. We…

Computer Vision and Pattern Recognition · Computer Science 2016-09-01 Rohit Girdhar , David F. Fouhey , Mikel Rodriguez , Abhinav Gupta

Answering complex logical queries on large-scale incomplete knowledge graphs (KGs) is a fundamental yet challenging task. Recently, a promising approach to this problem has been to embed KG entities as well as the query into a vector space…

Machine Learning · Computer Science 2020-03-03 Hongyu Ren , Weihua Hu , Jure Leskovec

Embedding words in high-dimensional vector spaces has proven valuable in many natural language applications. In this work, we investigate whether similarly-trained embeddings of integers can capture concepts that are useful for mathematical…

Computation and Language · Computer Science 2021-09-16 Maria Ryskina , Kevin Knight

We are interested in building collaborative filtering models for recommendation systems where users interact with slates instead of individual items. These slates can be hierarchical in nature. The central idea of our approach is to learn…

Information Retrieval · Computer Science 2020-10-15 Ehtsham Elahi , Ashok Chandrashekar

In this work, we present a novel method for combining predictions of object detection models: weighted boxes fusion. Our algorithm utilizes confidence scores of all proposed bounding boxes to constructs the averaged boxes. We tested method…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Roman Solovyev , Weimin Wang , Tatiana Gabruseva

A powerful and flexible approach to structured prediction consists in embedding the structured objects to be predicted into a feature space of possibly infinite dimension by means of output kernels, and then, solving a regression problem in…

Machine Learning · Statistics 2020-11-03 Luc Brogat-Motte , Alessandro Rudi , Céline Brouard , Juho Rousu , Florence d'Alché-Buc

Probabilistic models learned as density estimators can be exploited in representation learning beside being toolboxes used to answer inference queries only. However, how to extract useful representations highly depends on the particular…

Machine Learning · Computer Science 2016-08-12 Antonio Vergari , Nicola Di Mauro , Floriana Esposito

Recent work in learning ontologies (hierarchical and partially-ordered structures) has leveraged the intrinsic geometry of spaces of learned representations to make predictions that automatically obey complex structural constraints. We…

Computation and Language · Computer Science 2017-08-03 Xiang Li , Luke Vilnis , Andrew McCallum

We present an unsupervised approach for discovering semantic representations of mathematical equations. Equations are challenging to analyze because each is unique, or nearly unique. Our method, which we call equation embeddings, finds good…

Machine Learning · Statistics 2018-03-28 Kriste Krstovski , David M. Blei

Embedding is a common technique for analyzing multi-dimensional data. However, the embedding projection cannot always form significant and interpretable visual structures that foreshadow underlying data patterns. We propose an approach that…

Human-Computer Interaction · Computer Science 2022-09-26 Jie Li , Chun-qi Zhou

Vector-space models, from word embeddings to neural network parsers, have many advantages for NLP. But how to generalise from fixed-length word vectors to a vector space for arbitrary linguistic structures is still unclear. In this paper we…

Computation and Language · Computer Science 2017-10-03 Diana Nicoleta Popa , James Henderson

Vector embeddings have been successfully applied in several domains to obtain effective representations of non-numeric data which can then be used in various downstream tasks. We present a novel application of vector embeddings in…

Machine Learning · Computer Science 2024-03-19 Ethan Baron , Bram Janssens , Matthias Bogaert

Unsupervised feature learning often finds low-dimensional embeddings that capture the structure of complex data. For tasks for which prior expert topological knowledge is available, incorporating this into the learned representation may…

Machine Learning · Computer Science 2022-03-08 Robin Vandaele , Bo Kang , Jefrey Lijffijt , Tijl De Bie , Yvan Saeys

Interpretability benefits the theoretical understanding of representations. Existing word embeddings are generally dense representations. Hence, the meaning of latent dimensions is difficult to interpret. This makes word embeddings like a…

Computation and Language · Computer Science 2023-06-27 Minxue Xia , Hao Zhu

Simplicial complexes form an important class of topological spaces that are frequently used in many application areas such as computer-aided design, computer graphics, and simulation. Representation learning on graphs, which are just 1-d…

Machine Learning · Computer Science 2022-02-03 Mustafa Hajij , Ghada Zamzmi , Theodore Papamarkou , Vasileios Maroulas , Xuanting Cai

Knowledge base (KB) embeddings aim at combining the capability of classical knowledge graph embeddings to generalize the information present in facts, the ABox, with conceptual knowledge represented in an ontology language, the TBox.…

Artificial Intelligence · Computer Science 2026-05-26 Bruno F. Lourenço , Hesham Morgan , Ana Ozaki , Aleksandar Pavlović , Emanuel Sallinger

Word embeddings -- distributed representations of words -- in deep learning are beneficial for many tasks in natural language processing (NLP). However, different embedding sets vary greatly in quality and characteristics of the captured…

Computation and Language · Computer Science 2015-12-31 Wenpeng Yin , Hinrich Schütze

Word embeddings are rich word representations, which in combination with deep neural networks, lead to large performance gains for many NLP tasks. However, word embeddings are represented by dense, real-valued vectors and they are therefore…

Computation and Language · Computer Science 2019-12-24 Andreas Hanselowski , Iryna Gurevych

Bayesian optimization (BO) is a popular approach to optimize expensive-to-evaluate black-box functions. A significant challenge in BO is to scale to high-dimensional parameter spaces while retaining sample efficiency. A solution considered…

Machine Learning · Statistics 2020-10-26 Benjamin Letham , Roberto Calandra , Akshara Rai , Eytan Bakshy