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We consider random instances of non-convex perceptron problems in the high-dimensional limit of a large number of examples $M$ and weights $N$, with finite load $\alpha = M/N$. We develop a formalism based on replica theory to predict the…

Disordered Systems and Neural Networks · Physics 2026-02-11 Elizaveta Demyanenko , Davide Straziota , Carlo Baldassi , Carlo Lucibello

Computationally efficient classification system architecture is proposed. It utilizes fast tensor-vector multiplication algorithm to apply linear operators upon input signals . The approach is applicable to wide variety of recognition…

Computer Vision and Pattern Recognition · Computer Science 2016-03-08 Pavel Dourbal , Mikhail Pekker

This paper proposes a multi-label classification algorithm capable of continual learning by applying an Adaptive Resonance Theory (ART)-based clustering algorithm and the Bayesian approach for label probability computation. The ART-based…

Machine Learning · Computer Science 2024-10-04 Naoki Masuyama , Yusuke Nojima , Chu Kiong Loo , Hisao Ishibuchi

This paper presents a systematic evaluation of Neural Network (NN) for classification of real-world data. In the field of machine learning, it is often seen that a single parameter that is 'predictive accuracy' is being used for evaluating…

Neural and Evolutionary Computing · Computer Science 2016-12-05 Siddharth Dinesh , Tirtharaj Dash

We study the problem of determining the capacity of the binary perceptron for two variants of the problem where the corresponding constraint is symmetric. We call these variants the rectangle-binary-perceptron (RPB) and the…

Disordered Systems and Neural Networks · Physics 2019-11-05 Benjamin Aubin , Will Perkins , Lenka Zdeborová

A learning algorithm for multilayer perceptrons is presented which is based on finding the principal components of a correlation matrix computed from the example inputs and their target outputs. For large networks our procedure needs far…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. Bunzmann , M. Biehl , R. Urbanczik

The one-class classification problem is a well-known research endeavor in pattern recognition. The problem is also known under different names, such as outlier and novelty/anomaly detection. The core of the problem consists in modeling and…

Computer Vision and Pattern Recognition · Computer Science 2015-03-31 Lorenzo Livi , Alireza Sadeghian , Witold Pedrycz

State-of-the-art deep learning methods achieve human-like performance on many tasks, but make errors nevertheless. Characterizing these errors in easily interpretable terms gives insight into whether a classifier is prone to making…

Machine Learning · Computer Science 2022-06-20 Michael Hedderich , Jonas Fischer , Dietrich Klakow , Jilles Vreeken

Models with transparent inner structure and high classification performance are required to reduce potential risk and provide trust for users in domains like health care, finance, security, etc. However, existing models are hard to…

Machine Learning · Computer Science 2020-02-21 Zhuo Wang , Wei Zhang , Ning Liu , Jianyong Wang

The adaptive Thouless--Anderson--Palmer (TAP) mean-field approximation is one of the advanced mean-field approaches, and it is known as a powerful accurate method for Markov random fields (MRFs) with quadratic interactions (pairwise MRFs).…

Disordered Systems and Neural Networks · Physics 2020-03-10 Chako Takahashi , Muneki Yasuda , Kazuyuki Tanaka

We investigate multi-label classification involving large sets of labels, where the output labels may be known to satisfy some logical constraints. We look at an architecture in which classifiers for individual labels are fed into an…

Machine Learning · Computer Science 2025-07-22 Mykhailo Buleshnyi , Anna Polova , Zsolt Zombori , Michael Benedikt

In this work we consider the task of relaxing the i.i.d assumption in pattern recognition (or classification), aiming to make existing learning algorithms applicable to a wider range of tasks. Pattern recognition is guessing a discrete…

Machine Learning · Computer Science 2012-02-28 Daniil Ryabko

Interpretable rationales for model predictions play a critical role in practical applications. In this study, we develop models possessing interpretable inference process for structured prediction. Specifically, we present a method of…

Computation and Language · Computer Science 2020-05-01 Hiroki Ouchi , Jun Suzuki , Sosuke Kobayashi , Sho Yokoi , Tatsuki Kuribayashi , Ryuto Konno , Kentaro Inui

Supervised machine learning often requires large training sets to train accurate models, yet obtaining large amounts of labeled data is not always feasible. Hence, it becomes crucial to explore active learning methods for reducing the size…

Machine Learning · Computer Science 2024-04-16 Ashna Jose , Emilie Devijver , Massih-Reza Amini , Noel Jakse , Roberta Poloni

The traditional Multilayer Perceptron (MLP) using McCulloch-Pitts neuron model is inherently limited to a set of neuronal activities, i.e., linear weighted sum followed by nonlinear thresholding step. Previously, Generalized Operational…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Dat Thanh Tran , Serkan Kiranyaz , Moncef Gabbouj , Alexandros Iosifidis

Tactics, Techniques and Procedures (TTPs) represent sophisticated attack patterns in the cybersecurity domain, described encyclopedically in textual knowledge bases. Identifying TTPs in cybersecurity writing, often called TTP mapping, is an…

Machine Learning · Computer Science 2025-07-28 Tu Nguyen , Nedim Šrndić , Alexander Neth

Perceptrons are neuronal devices capable of fully discriminating linearly separable classes. Although straightforward to implement and train, their applicability is usually hindered by non-trivial requirements imposed by real-world…

Neural and Evolutionary Computing · Computer Science 2016-03-23 André L. V. Coelho , Fabrício O. de França

Tensor parallelism is an essential technique for distributed training of large neural networks. However, automatically determining an optimal tensor parallel strategy is challenging due to the gigantic search space, which grows…

Machine Learning · Computer Science 2025-08-06 Ziji Shi , Le Jiang , Ang Wang , Jie Zhang , Chencan Wu , Yong Li , Xiaokui Xiao , Wei Lin , Jialin Li

Strict linear feasibility or linear separation is usually tackled using efficient approximation/stochastic algorithms (that may even run in sub-linear times in expectation). However, today state of the art for solving…

Data Structures and Algorithms · Computer Science 2026-02-17 Adrien Chan-Hon-Tong

Multilabel classification is a relatively recent subfield of machine learning. Unlike to the classical approach, where instances are labeled with only one category, in multilabel classification, an arbitrary number of categories is chosen…

Artificial Intelligence · Computer Science 2013-03-01 Alfonso E. Romero , Luis M. de Campos