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Matrix decompositions are fundamental tools in the area of applied mathematics, statistical computing, and machine learning. In particular, low-rank matrix decompositions are vital, and widely used for data analysis, dimensionality…

Computation · Statistics 2019-11-28 N. Benjamin Erichson , Sergey Voronin , Steven L. Brunton , J. Nathan Kutz

Recent rapid advancements in deep pre-trained language models and the introductions of large datasets have powered research in embedding-based dense retrieval. While several good research papers have emerged, many of them come with their…

Information Retrieval · Computer Science 2022-03-14 Luyu Gao , Xueguang Ma , Jimmy Lin , Jamie Callan

Real-world data usually have high dimensionality and it is important to mitigate the curse of dimensionality. High-dimensional data are usually in a coherent structure and make the data in relatively small true degrees of freedom. There are…

Machine Learning · Computer Science 2021-03-12 Xiang Wang , Xiaoyong Li , Junxing Zhu , Zichen Xu , Kaijun Ren , Weiming Zhang , Xinwang Liu , Kui Yu

Deep neural networks (DNNs) are nowadays witnessing a major success in solving many pattern recognition tasks including skeleton-based classification. The deployment of DNNs on edge-devices, endowed with limited time and memory resources,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Hichem Sahbi

The evolving capabilities of large language models are accompanied by growing sizes and deployment costs, necessitating effective inference optimisation techniques. We propose a novel pruning method utilising centrality measures from graph…

Machine Learning · Computer Science 2024-12-02 David Hoffmann , Kailash Budhathoki , Matthaeus Kleindessner

The rapidly growing parameter volume of deep neural networks (DNNs) hinders the artificial intelligence applications on resource constrained devices, such as mobile and wearable devices. Neural network pruning, as one of the mainstream…

Machine Learning · Computer Science 2019-11-21 Ao Ren , Tao Zhang , Yuhao Wang , Sheng Lin , Peiyan Dong , Yen-kuang Chen , Yuan Xie , Yanzhi Wang

Recent years have seen significant efforts to adopt Artificial Intelligence (AI) in healthcare for various use cases, from computer-aided diagnosis to ICU triage. However, the size of AI models has been rapidly growing due to scaling laws…

Image and Video Processing · Electrical Eng. & Systems 2024-04-16 Mohammed Adnan , Qinle Ba , Nazim Shaikh , Shivam Kalra , Satarupa Mukherjee , Auranuch Lorsakul

Despite the strong performance of ColPali/ColQwen2 in Visualized Document Retrieval (VDR), it encodes each page into multiple patch-level embeddings and leads to excessive memory usage. This empirical study investigates methods to reduce…

Information Retrieval · Computer Science 2025-06-06 Yubo Ma , Jinsong Li , Yuhang Zang , Xiaobao Wu , Xiaoyi Dong , Pan Zhang , Yuhang Cao , Haodong Duan , Jiaqi Wang , Yixin Cao , Aixin Sun

Modeling data as being sampled from a union of independent subspaces has been widely applied to a number of real world applications. However, dimensionality reduction approaches that theoretically preserve this independence assumption have…

Machine Learning · Computer Science 2016-04-08 Devansh Arpit , Ifeoma Nwogu , Venu Govindaraju

As a fundamental task in natural language processing, word embedding converts each word into a representation in a vector space. A challenge with word embedding is that as the vocabulary grows, the vector space's dimension increases, which…

Computation and Language · Computer Science 2024-11-05 Jintang Xue , Yun-Cheng Wang , Chengwei Wei , C. -C. Jay Kuo

Recently, Dense Retrieval (DR) has become a promising solution to document retrieval, where document representations are used to perform effective and efficient semantic search. However, DR remains challenging on long documents, due to the…

Information Retrieval · Computer Science 2022-11-22 Junying Chen , Qingcai Chen , Dongfang Li , Yutao Huang

Similarity matching and join of time series data streams has gained a lot of relevance in today's world that has large streaming data. This process finds wide scale application in the areas of location tracking, sensor networks, object…

Databases · Computer Science 2013-12-11 R H Vishwanath , T V Samartha , K C Srikantaiah , K R Venugopal , L M Patnaik

This paper explores and analyzes two randomized designs for robust Principal Component Analysis (PCA) employing low-dimensional data sketching. In one design, a data sketch is constructed using random column sampling followed by low…

Machine Learning · Statistics 2017-03-21 Mostafa Rahmani , George Atia

Linear attention offers a computationally efficient yet expressive alternative to softmax attention. However, recent empirical results indicate that the hidden state of trained linear attention models often exhibits a low-rank structure,…

Machine Learning · Computer Science 2026-02-13 Philipp Nazari , T. Konstantin Rusch

Dynamic mode decomposition (DMD) is a popular technique for modal decomposition, flow analysis, and reduced-order modeling. In situations where a system is time varying, one would like to update the system's description online as time…

Optimization and Control · Mathematics 2017-07-11 Hao Zhang , Clarence W. Rowley , Eric A. Deem , Louis N. Cattafesta

Recently there has been a lot of work on pruning filters from deep convolutional neural networks (CNNs) with the intention of reducing computations. The key idea is to rank the filters based on a certain criterion (say, $l_1$-norm, average…

Computer Vision and Pattern Recognition · Computer Science 2018-02-01 Deepak Mittal , Shweta Bhardwaj , Mitesh M. Khapra , Balaraman Ravindran

Principal Component Analysis is a novel way of of dimensionality reduction. This problem essentially boils down to finding the top k eigen vectors of the data covariance matrix. A considerable amount of literature is found on algorithms…

Machine Learning · Computer Science 2019-01-08 Jian Vora

Most neural network pruning methods, such as filter-level and layer-level prunings, prune the network model along one dimension (depth, width, or resolution) solely to meet a computational budget. However, such a pruning policy often leads…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Wenxiao Wang , Minghao Chen , Shuai Zhao , Long Chen , Jinming Hu , Haifeng Liu , Deng Cai , Xiaofei He , Wei Liu

Traditional information retrieval is based on sparse bag-of-words vector representations of documents and queries. More recent deep-learning approaches have used dense embeddings learned using a transformer-based large language model. We…

Information Retrieval · Computer Science 2024-01-09 Priyanka Mandikal , Raymond Mooney

Matrix-free finite element implementations for large applications provide an attractive alternative to standard sparse matrix data formats due to the significantly reduced memory consumption. Here, we show that they are also competitive…

Computational Engineering, Finance, and Science · Computer Science 2020-03-19 Daniel Drzisga , Ulrich Rüde , Barbara Wohlmuth
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