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Transformer-based models have achieved state-of-the-art results in many natural language processing tasks. The self-attention architecture allows transformer to combine information from all elements of a sequence into context-aware…

Computation and Language · Computer Science 2021-02-17 Mikhail S. Burtsev , Yuri Kuratov , Anton Peganov , Grigory V. Sapunov

Programming a robot manipulator should be as intuitive as possible. To achieve that, the paradigm of teaching motion skills by providing few demonstrations has become widely popular in recent years. Probabilistic versions thereof take into…

Robotics · Computer Science 2023-12-07 Julian Richter , João Oliveira , Christian Scheurer , Jochen Steil , Niels Dehio

Transformers are neural networks that revolutionized natural language processing and machine learning. They process sequences of inputs, like words, using a mechanism called self-attention, which is trained via masked language modeling…

Disordered Systems and Neural Networks · Physics 2024-04-17 Riccardo Rende , Federica Gerace , Alessandro Laio , Sebastian Goldt

Trained transformer models have been found to implement interpretable procedures for tasks like arithmetic and associative recall, but little is understood about how the circuits that implement these procedures originate during training. To…

Machine Learning · Computer Science 2024-10-08 Ziqian Zhong , Jacob Andreas

We present an end-to-end framework for generating solutions to combinatorial optimization problems with unknown components using transformer-based sequence-to-sequence neural networks. Our framework learns directly from past solutions and…

Optimization and Control · Mathematics 2026-02-06 Macarena Navarro , Willem-Jan van Hoeve , Karan Singh

Efficiently learning mixture of Gaussians is a fundamental problem in statistics and learning theory. Given samples coming from a random one out of k Gaussian distributions in Rn, the learning problem asks to estimate the means and the…

Machine Learning · Computer Science 2015-03-11 Rong Ge , Qingqing Huang , Sham M. Kakade

Randomization is a powerful tool that endows algorithms with remarkable properties. For instance, randomized algorithms excel in adversarial settings, often surpassing the worst-case performance of deterministic algorithms with large…

Machine Learning · Computer Science 2024-08-21 Johannes von Oswald , Seijin Kobayashi , Yassir Akram , Angelika Steger

In-context learning enables transformer models to generalize to new tasks based solely on input prompts, without any need for weight updates. However, existing training paradigms typically rely on large, unstructured datasets that are…

In the rapidly evolving landscape of genomics, deep learning has emerged as a useful tool for tackling complex computational challenges. This review focuses on the transformative role of Large Language Models (LLMs), which are mostly based…

The Transformer architecture has revolutionized the field of sequence modeling and underpins the recent breakthroughs in large language models (LLMs). However, a comprehensive mathematical theory that explains its structure and operations…

Machine Learning · Computer Science 2026-04-14 Xue-Cheng Tai , Hao Liu , Lingfeng Li , Raymond H. Chan

Transformers have become the foundation for a wide range of state--of--the--art models across natural language processing, computer vision, and other machine learning domains. Despite their widespread deployment, the robustness of these…

Machine Learning · Computer Science 2025-09-16 Luke Howard

We derive closed-form expressions for the Bayes optimal decision boundaries in binary classification of high dimensional overlapping Gaussian mixture model (GMM) data, and show how they depend on the eigenstructure of the class covariances,…

Machine Learning · Statistics 2024-05-29 Khen Cohen , Noam Levi , Yaron Oz

Large language models exhibit sophisticated capabilities, yet understanding how they work internally remains a central challenge. A fundamental obstacle is that training selects for behavior, not circuitry, so many weight configurations can…

Machine Learning · Computer Science 2026-02-27 Joshua S. Schiffman

Transfer learning where the behavior of extracting transferable knowledge from the source domain(s) and reusing this knowledge to target domain has become a research area of great interest in the field of artificial intelligence.…

Machine Learning · Computer Science 2021-09-29 Junyu Xuan , Jie Lu , Guangquan Zhang

The rapid advancement of Transformer-based models has reshaped the landscape of uncrewed aerial vehicle (UAV) systems by enhancing perception, decision-making, and autonomy. This review paper systematically categorizes and evaluates recent…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Hamza Kheddar , Yassine Habchi , Mohamed Chahine Ghanem , Mustapha Hemis , Dusit Niyato

Graph Neural Networks (GNNs) are the dominant architecture for molecular machine learning, particularly for molecular property prediction and machine learning interatomic potentials (MLIPs). GNNs perform message passing on predefined graphs…

Machine Learning · Computer Science 2025-10-03 Tobias Kreiman , Yutong Bai , Fadi Atieh , Elizabeth Weaver , Eric Qu , Aditi S. Krishnapriyan

Generative Adversarial Networks (GANs) have been shown to be powerful and flexible priors when solving inverse problems. One challenge of using them is overcoming representation error, the fundamental limitation of the network in…

Machine Learning · Computer Science 2022-04-12 Sean Gunn , Jorio Cocola , Paul Hand

The emergence of deep learning has yielded noteworthy advancements in time series forecasting (TSF). Transformer architectures, in particular, have witnessed broad utilization and adoption in TSF tasks. Transformers have proven to be the…

Machine Learning · Computer Science 2023-11-01 Liyilei Su , Xumin Zuo , Rui Li , Xin Wang , Heng Zhao , Bingding Huang

Recent advancements in Large Language Models (LLMs), particularly those built on Transformer architectures, have significantly broadened the scope of natural language processing (NLP) applications, transcending their initial use in chatbot…

Computation and Language · Computer Science 2024-05-29 Chen Wang , Jin Zhao , Jiaqi Gong

We study the performance of transformers as a function of the number of repetitions of training examples with algorithmically generated datasets. On three problems of mathematics: the greatest common divisor, modular multiplication, and…

Machine Learning · Computer Science 2024-10-10 François Charton , Julia Kempe
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