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Researchers are increasingly incorporating numeric high-order data, i.e., numeric tensors, within their practice. Just like the matrix/vector (MV) paradigm, the development of multi-purpose, but high-performance, sparse data structures and…

Mathematical Software · Computer Science 2018-02-09 Adam P. Harrison , Dileepan Joseph

We present Gecko, a compact and versatile text embedding model. Gecko achieves strong retrieval performance by leveraging a key idea: distilling knowledge from large language models (LLMs) into a retriever. Our two-step distillation process…

Scaling the amount of compute used to train language models has dramatically improved their capabilities. However, when it comes to inference, we often limit models to making only one attempt at a problem. Here, we explore inference compute…

Machine Learning · Computer Science 2025-01-03 Bradley Brown , Jordan Juravsky , Ryan Ehrlich , Ronald Clark , Quoc V. Le , Christopher Ré , Azalia Mirhoseini

E-commerce information retrieval (IR) systems struggle to simultaneously achieve high accuracy in interpreting complex user queries and maintain efficient processing of vast product catalogs. The dual challenge lies in precisely matching…

Information Retrieval · Computer Science 2025-06-25 Shenbin Qian , Diptesh Kanojia , Samarth Agrawal , Hadeel Saadany , Swapnil Bhosale , Constantin Orasan , Zhe Wu

As the size of datasets used in statistical learning continues to grow, distributed training of models has attracted increasing attention. These methods partition the data and exploit parallelism to reduce memory and runtime, but suffer…

Machine Learning · Computer Science 2024-07-10 Fred Lu , Ryan R. Curtin , Edward Raff , Francis Ferraro , James Holt

This paper presents the first convergence result for random search algorithms to a subset of the Pareto set of given maximum size k with bounds on the approximation quality. The core of the algorithm is a new selection criterion based on a…

Optimization and Control · Mathematics 2011-11-10 Marco Laumanns

Scaling laws with respect to the amount of training data and the number of parameters allow us to predict the cost-benefit trade-offs of pretraining language models (LMs) in different configurations. In this paper, we consider another…

Computation and Language · Computer Science 2024-07-19 Rulin Shao , Jacqueline He , Akari Asai , Weijia Shi , Tim Dettmers , Sewon Min , Luke Zettlemoyer , Pang Wei Koh

In this paper we show how to recover a spectral approximations to broad classes of structured matrices using only a polylogarithmic number of adaptive linear measurements to either the matrix or its inverse. Leveraging this result we obtain…

Data Structures and Algorithms · Computer Science 2018-12-18 Arun Jambulapati , Kirankumar Shiragur , Aaron Sidford

Information processing techniques based on sparseness have been actively studied in several disciplines. Among them, a mathematical framework to approximately express a given dataset by a combination of a small number of basis vectors of an…

Information Theory · Computer Science 2016-05-04 Tomoyuki Obuchi , Yoshiyuki Kabashima

Despite their strong performance, Dense Passage Retrieval (DPR) models suffer from a lack of interpretability. In this work, we propose a novel interpretability framework that leverages Sparse Autoencoders (SAEs) to decompose previously…

Information Retrieval · Computer Science 2025-08-28 Seongwan Park , Taeklim Kim , Youngjoong Ko

Understanding the internal representations of large language models (LLMs) remains a central challenge for interpretability research. Sparse autoencoders (SAEs) offer a promising solution by decomposing activations into interpretable…

Machine Learning · Computer Science 2025-10-10 Yifei Yao , Mengnan Du

In dense retrieval, deep encoders provide embeddings for both inputs and targets, and the softmax function is used to parameterize a distribution over a large number of candidate targets (e.g., textual passages for information retrieval).…

Machine Learning · Computer Science 2024-09-04 Nicholas Monath , Will Grathwohl , Michael Boratko , Rob Fergus , Andrew McCallum , Manzil Zaheer

Motivated by distributed machine learning settings such as Federated Learning, we consider the problem of fitting a statistical model across a distributed collection of heterogeneous data sets whose similarity structure is encoded by a…

Statistics Theory · Mathematics 2021-11-30 Dominic Richards , Sahand N. Negahban , Patrick Rebeschini

Recently embedding-based retrieval or dense retrieval have shown state of the art results, compared with traditional sparse or bag-of-words based approaches. This paper introduces a model-agnostic doc-level embedding framework through large…

Information Retrieval · Computer Science 2024-04-10 Mingrui Wu , Sheng Cao

Approximate inference in probability models is a fundamental task in machine learning. Approximate inference provides powerful tools to Bayesian reasoning, decision making, and Bayesian deep learning. The main goal is to estimate the…

Machine Learning · Computer Science 2020-03-10 Jun Han

Existing dense retrieval models struggle with reasoning-intensive retrieval task as they fail to capture implicit relevance that requires reasoning beyond surface-level semantic information. To address these challenges, we propose…

Information Retrieval · Computer Science 2025-07-18 Sangam Lee , Ryang Heo , SeongKu Kang , Dongha Lee

Sparse dictionary learning (SDL) is a fundamental technique that is useful for many image processing tasks. As an example we consider here image recovery, where SDL can be cast as a nonsmooth optimization problem. For this kind of problems,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Mohammadsadegh Khoshghiaferezaee , Moritz Krauth , Shima Shabani , Michael Breuß

As the size of modern data sets exceeds the disk and memory capacities of a single computer, machine learning practitioners have resorted to parallel and distributed computing. Given that optimization is one of the pillars of machine…

Machine Learning · Statistics 2019-12-10 Biyi Fang , Diego Klabjan

Sparse Matrix-Vector Multiplication (SpMV) is a fundamental operation in the inference of sparse Large Language Models (LLMs). Because existing SpMV methods perform poorly under the low and unstructured sparsity (30-90%) commonly observed…

Machine Learning · Computer Science 2025-11-18 Vladimír Macko , Vladimír Boža

Estimation of a sparse spectral precision matrix, the inverse of a spectral density matrix, is a canonical problem in frequency-domain analysis of high-dimensional time series (HDTS), with applications in neurosciences and environmental…

Methodology · Statistics 2025-11-11 Navonil Deb , Amy Kuceyeski , Sumanta Basu
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