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This paper is devoted to the features of the practical application of the Elastic Weight Consolidation (EWC) method for continual learning of neural networks on several training sets. We will more rigorously compare the well-known…

Machine Learning · Computer Science 2021-11-02 Alexey Kutalev , Alisa Lapina

Symbolic Regression (SR) algorithms attempt to learn analytic expressions which fit data accurately and in a highly interpretable manner. Conventional SR suffers from two fundamental issues which we address here. First, these methods search…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-05 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

Embedding learning, a.k.a. representation learning, has been shown to be able to model large-scale semantic knowledge graphs. A key concept is a mapping of the knowledge graph to a tensor representation whose entries are predicted by models…

Artificial Intelligence · Computer Science 2016-05-10 Volker Tresp , Cristóbal Esteban , Yinchong Yang , Stephan Baier , Denis Krompaß

The self-attention mechanism is the backbone of the transformer neural network underlying most large language models. It can capture complex word patterns and long-range dependencies in natural language. This paper introduces exponential…

Machine Learning · Statistics 2025-01-29 Kevin Christian Wibisono , Yixin Wang

Deep learning has become a one-size-fits-all solution for technical and business domains thanks to its flexibility and adaptability. It is implemented using opaque models, which unfortunately undermines the outcome trustworthiness. In order…

Machine Learning · Computer Science 2022-08-04 Anh-Duy Pham , Anastassia Kuestenmacher , Paul G. Ploeger

Modeling interactions between features improves the performance of machine learning solutions in many domains (e.g. recommender systems or sentiment analysis). In this paper, we introduce Exponential Machines (ExM), a predictor that models…

Machine Learning · Statistics 2017-12-11 Alexander Novikov , Mikhail Trofimov , Ivan Oseledets

Human language processing relies on the brain's capacity for predictive inference. We present a machine learning framework for decoding neural (EEG) responses to dynamic visual language stimuli in Deaf signers. Using coherence between…

Neurons and Cognition · Quantitative Biology 2025-12-25 Sean C. Borneman , Julia Krebs , Ronnie B. Wilbur , Evie A. Malaia

A critical factor in adopting machine learning for time-sensitive financial tasks is computational speed, including model training and inference. This paper demonstrates that a broad class of such problems, especially those previously…

Computational Finance · Quantitative Finance 2025-05-27 Liexin Cheng , Xue Cheng , Shuaiqiang Liu

Class Incremental Semantic Segmentation (CISS) aims to mitigate catastrophic forgetting by maintaining a balance between previously learned and newly introduced knowledge. Existing methods, primarily based on regularization techniques like…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Zechao Sun , Shuying Piao , Haolin Jin , Chang Dong , Lin Yue , Weitong Chen , Luping Zhou

The rapid increase in multimedia data has spurred advancements in Multimodal Summarization with Multimodal Output (MSMO), which aims to produce a multimodal summary that integrates both text and relevant images. The inherent heterogeneity…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Yanghai Zhang , Ye Liu , Shiwei Wu , Kai Zhang , Xukai Liu , Qi Liu , Enhong Chen

The exponential moving average (EMA) is a commonly used statistic for providing stable estimates of stochastic quantities in deep learning optimization. Recently, EMA has seen considerable use in generative models, where it is computed with…

Machine Learning · Computer Science 2023-10-24 Jonathan Patsenker , Henry Li , Yuval Kluger

Data selection is designed to accelerate learning with preserved performance. To achieve this, a fundamental thought is to identify informative data samples with significant contributions to the training. In this work, we propose…

Machine Learning · Computer Science 2025-09-30 Ziheng Cheng , Zhong Li , Jiang Bian

In the last decade, the concept of path signature has achieved significant success in data science applications. It offers a powerful set of features that effectively capture and describe the characteristics of paths or sequential data.…

Rings and Algebras · Mathematics 2025-01-13 Ilya Chevyrev , Joscha Diehl , Kurusch Ebrahimi-Fard , Nikolas Tapia

Motivation of our work is to present a new methodology for symbol recognition. We support structural methods for representing visual associations in graphic documents. The proposed method employs a structural approach for symbol…

Computer Vision and Pattern Recognition · Computer Science 2010-05-03 Muhammad Muzzamil Luqman , Mathieu Delalandre , Thierry Brouard , Jean-Yves Ramel , Josep Lladós

The signature kernel is a kernel between time series of arbitrary length and comes with strong theoretical guarantees from stochastic analysis. It has found applications in machine learning such as covariance functions for Gaussian…

Machine Learning · Statistics 2024-12-30 Csaba Tóth , Masaki Adachi , Michael A. Osborne , Harald Oberhauser

The working mechanisms of complex natural systems tend to abide by concise and profound partial differential equations (PDEs). Methods that directly mine equations from data are called PDE discovery, which reveals consistent physical laws…

Machine Learning · Computer Science 2023-03-17 Mengge Du , Yuntian Chen , Dongxiao Zhang

Most scholars concerned with the foundations of quantum mechanics (QM) think that contextuality and nonlocality (hence nonobjectivity of physical properties) are unavoidable features of QM which follow from the mathematical apparatus of QM.…

Quantum Physics · Physics 2019-05-24 Claudio Garola

Marginal Structural Models (MSM) are the most popular models for causal inference from time-series observational data. However, they have two main drawbacks: (a) they do not capture subject heterogeneity, and (b) they only consider fixed…

Machine Learning · Computer Science 2020-10-19 Debmalya Mandal , David Parkes

In [1], we introduced a new, matrix algebraic, performance analysis framework for wireless systems with fading channels based on the matrix exponential distribution. The main idea was to use the compact, powerful, and easy-to-use, matrix…

Information Theory · Computer Science 2016-12-21 Peter Larsson , Lars K. Rasmussen , Mikael Skoglund

Expectation Value Samplers (EVSs) are quantum generative models that can learn high-dimensional continuous distributions by measuring the expectation values of parameterized quantum circuits. However, these models can demand impractical…