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We introduce a new methodology for a fast and reliable discrimination between ordered and chaotic orbits in multidimensional Hamiltonian systems which we call the Linear Dependence Index (LDI). The new method is based on the recently…

Chaotic Dynamics · Physics 2007-11-05 Chris Antonopoulos , Tassos Bountis

Indexing large-scale databases in main memory is still challenging today. Learned index structures -- in which the core components of classical indexes are replaced with machine learning models -- have recently been suggested to…

Databases · Computer Science 2021-01-27 Ali Hadian , Thomas Heinis

LSM-tree-based data stores are widely used in industry due to their exceptional performance. However, as data volumes grow, efficiently querying large-scale databases becomes increasingly challenging. To address this, recent studies…

Databases · Computer Science 2025-06-11 Junfeng Liu , Jiarui Ye , Mengshi Chen , Meng Li , Siqiang Luo

The training of neural networks requires tedious and often manual tuning of the network architecture. We propose a systematic approach to inserting new layers during the training process. Our method eliminates the need to choose a fixed…

Machine Learning · Computer Science 2025-06-18 Leonie Kreis , Evelyn Herberg , Frederik Köhne , Anton Schiela , Roland Herzog

Recent research on learned indexes has created a new perspective for indexes as models that map keys to their respective storage locations. These learned indexes are created to approximate the cumulative distribution function of the key…

Databases · Computer Science 2024-12-17 Kasun Amarasinghe , Farhana Choudhury , Jianzhong Qi , James Bailey

While discriminative neural network classifiers are generally preferred, recent work has shown advantages of generative classifiers in term of data efficiency and robustness. In this paper, we focus on natural language inference (NLI). We…

Computation and Language · Computer Science 2020-10-09 Xiaoan Ding , Tianyu Liu , Baobao Chang , Zhifang Sui , Kevin Gimpel

The recursive model index (RMI) has recently been introduced as a machine-learned replacement for traditional indexes over sorted data, achieving remarkably fast lookups. Follow-up work focused on explaining RMI's performance and…

Databases · Computer Science 2021-11-23 Marcel Maltry , Jens Dittrich

Linear model trees are regression trees that incorporate linear models in the leaf nodes. This preserves the intuitive interpretation of decision trees and at the same time enables them to better capture linear relationships, which is hard…

Machine Learning · Statistics 2024-07-10 Jakob Raymaekers , Peter J. Rousseeuw , Tim Verdonck , Ruicong Yao

In this paper, a new and novel data structure is proposed to dynamically insert and delete segments. Unlike the standard segment trees[3], the proposed data structure permits insertion of a segment with interval range beyond the interval…

Computational Geometry · Computer Science 2015-01-15 K. S. Easwarakumar , T. Hema

Spatial data is ubiquitous. Massive amounts of data are generated every day from billions of GPS-enabled devices such as cell phones, cars, sensors, and various consumer-based applications such as Uber, Tinder, location-tagged posts in…

Databases · Computer Science 2020-08-25 Varun Pandey , Alexander van Renen , Andreas Kipf , Ibrahim Sabek , Jialin Ding , Alfons Kemper

Database indexes facilitate data retrieval and benefit broad applications in real-world systems. Recently, a new family of index, named learned index, is proposed to learn hidden yet useful data distribution and incorporate such information…

Databases · Computer Science 2021-01-05 Yaliang Li , Daoyuan Chen , Bolin Ding , Kai Zeng , Jingren Zhou

The paper presents the first \emph{concurrency-optimal} implementation of a binary search tree (BST). The implementation, based on a standard sequential implementation of an internal tree, ensures that every \emph{schedule} is accepted,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-03 Vitaly Aksenov , Vincent Gramoli , Petr Kuznetsov , Anna Malova , Srivatsan Ravi

In this work, we propose a simple yet effective method to tackle the problem of imbalanced multi-class semantic segmentation in deep learning systems. One of the key properties for a good training set is the balancing among the classes.…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Emanuele Caruso , Francesco Pelosin , Alessandro Simoni , Marco Boschetti

Although spatial indexes shorten the query response time, they rely on complex tree structures to narrow down the search space. Such structures in turn yield additional storage overhead and take a toll on index maintenance. Recently, there…

Databases · Computer Science 2023-09-15 Congying Wang , Jia Yu , Zhuoyue Zhao

Learned Index Structures (LIS) have significantly advanced data management by leveraging machine learning models to optimize data indexing. However, designing these structures often involves critical trade-offs, making it challenging for…

Databases · Computer Science 2025-02-19 Taiyi Wang , Liang Liang , Guang Yang , Thomas Heinis , Eiko Yoneki

A recent research trend involves treating database index structures as Machine Learning (ML) models. In this domain, single or multiple ML models are trained to learn the mapping from keys to positions inside a data set. This class of…

Databases · Computer Science 2024-03-12 Abdullah Al-Mamun , Hao Wu , Qiyang He , Jianguo Wang , Walid G. Aref

We introduce a cluster evaluation technique called Tree Index. Our Tree Index algorithm aims at describing the structural information of the clustering rather than the quantitative format of cluster-quality indexes (where the representation…

Machine Learning · Computer Science 2020-03-25 A. H. Beg , Md Zahidul Islam , Vladimir Estivill-Castro

We study learning-augmented binary search trees (BSTs) via Treaps with carefully designed priorities. The result is a simple search tree in which the depth of each item $x$ is determined by its predicted weight $w_x$. Specifically, each…

Data Structures and Algorithms · Computer Science 2025-05-16 Jingbang Chen , Xinyuan Cao , Alicia Stepin , Li Chen

Efficient indexing is fundamental for multi-dimensional data management and analytics. An emerging tendency is to directly learn the storage layout of multi-dimensional data by simple machine learning models, yielding the concept of Learned…

Databases · Computer Science 2024-05-10 Qiyu Liu , Maocheng Li , Yuxiang Zeng , Yanyan Shen , Lei Chen

Gradient-based multilevel optimization (MLO) has gained attention as a framework for studying numerous problems, ranging from hyperparameter optimization and meta-learning to neural architecture search and reinforcement learning. However,…

Machine Learning · Computer Science 2023-03-16 Sang Keun Choe , Willie Neiswanger , Pengtao Xie , Eric Xing