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We consider the problem of deep neural net compression by quantization: given a large, reference net, we want to quantize its real-valued weights using a codebook with $K$ entries so that the training loss of the quantized net is minimal.…

Machine Learning · Computer Science 2017-07-17 Miguel Á. Carreira-Perpiñán , Yerlan Idelbayev

The problem of proximity full-text search is considered. If a search query contains high-frequently occurring words, then multi-component key indexes deliver an improvement in the search speed compared with ordinary inverted indexes. It was…

Information Retrieval · Computer Science 2021-08-03 Alexander B. Veretennikov

Neural document ranking approaches, specifically transformer models, have achieved impressive gains in ranking performance. However, query processing using such over-parameterized models is both resource and time intensive. In this paper,…

Information Retrieval · Computer Science 2022-04-05 Jurek Leonhardt , Koustav Rudra , Megha Khosla , Abhijit Anand , Avishek Anand

Information retrieval is an important application area of natural-language processing where one encounters the genuine challenge of processing large quantities of unrestricted natural-language text. This paper reports on the application of…

cmp-lg · Computer Science 2008-02-03 David A. Evans , Chengxiang Zhai

Rank regularized minimization problem is an ideal model for the low-rank matrix completion/recovery problem. The matrix factorization approach can transform the high-dimensional rank regularized problem to a low-dimensional factorized…

Optimization and Control · Mathematics 2024-05-21 Wenjing Li , Wei Bian , Kim-Chuan Toh

In the problem of matrix compressed sensing we aim to recover a low-rank matrix from few of its element-wise linear projections. In this contribution we analyze the asymptotic performance of a Bayes-optimal inference procedure for a model…

Information Theory · Computer Science 2017-01-04 Christophe Schülke , Philip Schniter , Lenka Zdeborová

Search engines play an important role in our everyday lives by assisting us in finding the information we need. When we input a complex query, however, results are often far from satisfactory. In this work, we introduce a query…

Information Retrieval · Computer Science 2017-09-26 Rodrigo Nogueira , Kyunghyun Cho

The null space condition for $\ell_1$ minimization in compressed sensing is a necessary and sufficient condition on the sensing matrices under which a sparse signal can be uniquely recovered from the observation data via $\ell_1$…

Information Theory · Computer Science 2018-02-06 Myung Cho , Kumar Vijay Mishra , Weiyu Xu

Column-oriented indexes-such as projection or bitmap indexes-are compressed by run-length encoding to reduce storage and increase speed. Sorting the tables improves compression. On realistic data sets, permuting the columns in the right…

Databases · Computer Science 2015-03-13 Daniel Lemire , Owen Kaser

Previous compact representations of permutations have focused on adding a small index on top of the plain data $<\pi(1), \pi(2),...\pi(n)>$, in order to efficiently support the application of the inverse or the iterated permutation. In this…

Data Structures and Algorithms · Computer Science 2011-08-23 Jérémy Barbay , Gonzalo Navarro

The eXtensible Markup Language (XML) provides a powerful and flexible means of encoding and exchanging data. As it turns out, its main advantage as an encoding format (namely, its requirement that all open and close markup tags are present…

Databases · Computer Science 2015-05-13 Gregory Leighton , Denilson Barbosa

To extract answers from a large corpus, open-domain question answering (QA) systems usually rely on information retrieval (IR) techniques to narrow the search space. Standard inverted index methods such as TF-IDF are commonly used as thanks…

Computation and Language · Computer Science 2021-02-22 Wenhan Xiong , Hong Wang , William Yang Wang

Deep neuroevolution is a highly scalable alternative to reinforcement learning due to its unique ability to encode network updates in a small number of bytes. Recent insights from traditional deep learning indicate high-dimensional models…

Neural and Evolutionary Computing · Computer Science 2025-04-07 Jack Garbus , Jordan Pollack

We consider the problem of accurately and efficiently querying a remote server to retrieve information about images captured by a mobile device. In addition to reduced transmission overhead and computational complexity, the retrieval…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Jacob Chakareski , Immanuel Manohar , Shantanu Rane

In inverting large sparse matrices, the key difficulty lies in effectively exploiting sparsity during the inversion process. One well-established strategy is the nested dissection, which seeks the so-called sparse Cholesky factorization. We…

Numerical Analysis · Mathematics 2025-05-14 Michał Kos , Krzysztof Podgórski , Hanqing Wu

In this work, we study the problem of monotone non-submodular maximization with partition matroid constraint. Although a generalization of this problem has been studied in literature, our work focuses on leveraging properties of partition…

Data Structures and Algorithms · Computer Science 2022-05-02 Lan N. Nguyen , My T. Thai

Although several grammar-based self-indexes have been proposed thus far, their applicability is limited to offline settings where whole input texts are prepared, thus requiring to rebuild index structures for given additional inputs, which…

Data Structures and Algorithms · Computer Science 2015-07-07 Yoshimasa Takabatake , Yasuo Tabei , Hiroshi Sakamoto

Lossy image compression is essential for efficient transmission and storage. Traditional compression methods mainly rely on discrete cosine transform (DCT) or singular value decomposition (SVD), both of which represent image data in…

Image and Video Processing · Electrical Eng. & Systems 2025-03-28 Pooya Ashtari , Pourya Behmandpoor , Fateme Nateghi Haredasht , Jonathan H. Chen , Panagiotis Patrinos , Sabine Van Huffel

This paper considers a restriction to non-negative matrix factorization in which at least one matrix factor is stochastic. That is, the elements of the matrix factors are non-negative and the columns of one matrix factor sum to 1. This…

Machine Learning · Statistics 2016-09-20 Christopher Adams

Full-text search engines are important tools for information retrieval. Term proximity is an important factor in relevance score measurement. In a proximity full-text search, we assume that a relevant document contains query terms near each…

Information Retrieval · Computer Science 2018-11-20 Alexander B. Veretennikov
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