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Prune-and-search is an important paradigm for solving many important geometric problems. We show that the general prune-and-search technique can be implemented where the objects are given in read-only memory. As examples we consider…

Computational Geometry · Computer Science 2012-12-24 Minati De , Subhas C. Nandy , Sasanka Roy

Pruning is a core technique for compressing neural networks to improve computational efficiency. This process is typically approached in two ways: one-shot pruning, which involves a single pass of training and pruning, and iterative…

Machine Learning · Computer Science 2025-08-20 Mikołaj Janusz , Tomasz Wojnar , Yawei Li , Luca Benini , Kamil Adamczewski

Many nonparametric regressors were recently shown to converge at rates that depend only on the intrinsic dimension of data. These regressors thus escape the curse of dimension when high-dimensional data has low intrinsic dimension (e.g. a…

Machine Learning · Statistics 2011-10-20 Samory Kpotufe

Computing an optimal classification tree that provably maximizes training performance within a given size limit, is NP-hard, and in practice, most state-of-the-art methods do not scale beyond computing optimal trees of depth three.…

Machine Learning · Computer Science 2025-01-15 Catalin E. Brita , Jacobus G. M. van der Linden , Emir Demirović

We propose a new formulation for pruning convolutional kernels in neural networks to enable efficient inference. We interleave greedy criteria-based pruning with fine-tuning by backpropagation - a computationally efficient procedure that…

Machine Learning · Computer Science 2017-06-12 Pavlo Molchanov , Stephen Tyree , Tero Karras , Timo Aila , Jan Kautz

We start with a review of the pervasiveness of the nearest neighbor search problem and techniques used to solve it along with some experimental results. In the second chapter, we show reductions between two different classes of geo- metric…

Computational Geometry · Computer Science 2015-07-14 Mark Saroufim

Layer pruning offers a promising alternative to standard structured pruning, effectively reducing computational costs, latency, and memory footprint. While notable layer-pruning approaches aim to detect unimportant layers for removal, they…

Machine Learning · Computer Science 2025-08-25 Leandro Giusti Mugnaini , Carolina Tavares Duarte , Anna H. Reali Costa , Artur Jordao

Deep learning algorithms are increasingly employed at the edge. However, edge devices are resource constrained and thus require efficient deployment of deep neural networks. Pruning methods are a key tool for edge deployment as they can…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Yunqiang Li , Jan C. van Gemert , Torsten Hoefler , Bert Moons , Evangelos Eleftheriou , Bram-Ernst Verhoef

Searching for high-dimensional vector data with high accuracy is an inevitable search technology for various types of data. Graph-based indexes are known to reduce the query time for high-dimensional data. To further improve the query time…

Databases · Computer Science 2018-10-18 Masajiro Iwasaki , Daisuke Miyazaki

We present a novel method for efficiently searching top-k neighbors for documents represented in high dimensional space of terms based on the cosine similarity. Mostly, documents are stored as bag-of-words tf-idf representation. One of the…

Information Retrieval · Computer Science 2016-05-24 Gaurav Singh , Benjamin Piwowarski

With the rapid expansion of large language models (LLMs), the demand for memory and computational resources has grown significantly. Recent advances in LLM pruning aim to reduce the size and computational cost of these models. However,…

Machine Learning · Computer Science 2025-05-29 Zhendong Mi , Zhenglun Kong , Geng Yuan , Shaoyi Huang

This paper is about searching the combinatorial space of contingency tables during the inner loop of a nonlinear statistical optimization. Examples of this operation in various data analytic communities include searching for nonlinear…

Artificial Intelligence · Computer Science 2013-01-07 Andrew Moore , Jeff Schneider

In the light of the fact that the stochastic gradient descent (SGD) often finds a flat minimum valley in the training loss, we propose a novel directional pruning method which searches for a sparse minimizer in or close to that flat region.…

Machine Learning · Computer Science 2020-10-15 Shih-Kang Chao , Zhanyu Wang , Yue Xing , Guang Cheng

Since high resolution remote sensing image classification often requires a relatively high computation complexity, lightweight models tend to be practical and efficient. Model pruning is an effective method for model compression. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Guangwenjie Zou , Liang Yao , Fan Liu , Chuanyi Zhang , Xin Li , Ning Chen , Shengxiang Xu , Jun Zhou

Network pruning is an important research field aiming at reducing computational costs of neural networks. Conventional approaches follow a fixed paradigm which first trains a large and redundant network, and then determines which units…

Computer Vision and Pattern Recognition · Computer Science 2019-09-30 Yulong Wang , Xiaolu Zhang , Lingxi Xie , Jun Zhou , Hang Su , Bo Zhang , Xiaolin Hu

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

Machine Learning · Computer Science 2024-10-28 Shudian Zhao , Jan Kronqvist

Data pruning -- the combinatorial task of selecting a small and representative subset from a large dataset, is crucial for mitigating the enormous computational costs associated with training data-hungry modern deep learning models at…

Machine Learning · Computer Science 2025-04-04 Anish Acharya , Sujay Sanghavi , Alexandros G. Dimakis , Inderjit S Dhillon

This paper introduces a tensor neural network (TNN) to address nonparametric regression problems, leveraging its distinct sub-network structure to effectively facilitate variable separation and enhance the approximation of complex,…

Machine Learning · Statistics 2024-09-16 Yongxin Li , Yifan Wang , Zhongshuo Lin , Hehu Xie

We propose a nonlinear reduced basis method for the efficient approximation of parametrized partial differential equations (PDEs), exploiting kernel proper orthogonal decomposition (KPOD) for the generation of a reduced-order space and…

Numerical Analysis · Mathematics 2021-04-01 Matteo Salvador , Luca Dede' , Andrea Manzoni

Regression trees and their ensemble methods are popular methods for nonparametric regression: they combine strong predictive performance with interpretable estimators. To improve their utility for locally smooth response surfaces, we study…

Methodology · Statistics 2021-09-13 Sören R. Künzel , Theo F. Saarinen , Edward W. Liu , Jasjeet S. Sekhon