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The strength of chess engines together with the availability of numerous chess games have attracted the attention of chess players, data scientists, and researchers during the last decades. State-of-the-art engines now provide an…

Artificial Intelligence · Computer Science 2016-07-15 Mathieu Acher , François Esnault

Despite multiple efforts made towards robust machine learning (ML) models, their vulnerability to adversarial examples remains a challenging problem that calls for rethinking the defense strategy. In this paper, we take a step back and…

Machine Learning · Computer Science 2022-02-21 Abderrahmen Amich , Birhanu Eshete

Dimensionality reduction is ubiquitous in analysis of complex dynamics. The conventional dimensionality reduction techniques, however, focus on reproducing the underlying configuration space, rather than the dynamics itself. The constructed…

Data Analysis, Statistics and Probability · Physics 2013-05-29 Sergei V. Krivov

Designing deep neural network classifiers that perform robustly on distributions differing from the available training data is an active area of machine learning research. However, out-of-distribution generalization for regression-the…

Machine Learning · Computer Science 2024-01-01 Benjamin Eyre , Elliot Creager , David Madras , Vardan Papyan , Richard Zemel

We investigate the in-context learning capabilities of transformers for the $d$-dimensional mixture of linear regression model, providing theoretical insights into their existence, generalization bounds, and training dynamics. Specifically,…

Machine Learning · Statistics 2025-02-11 Yanhao Jin , Krishnakumar Balasubramanian , Lifeng Lai

This paper investigates the failure cases and out-of-distribution behavior of transformers trained on matrix inversion and eigenvalue decomposition. I show that incorrect model predictions still retain deep mathematical properties of the…

Machine Learning · Computer Science 2022-11-02 François Charton

Transformer networks have seen great success in natural language processing and machine vision, where task objectives such as next word prediction and image classification benefit from nuanced context sensitivity across high-dimensional…

Machine Learning · Computer Science 2022-12-13 Yuxuan Li , James L. McClelland

Interpretability research often aims to predict how a model will respond to targeted interventions on specific mechanisms. However, it rarely predicts how a model will respond to unseen input data. This paper explores the promises and…

Machine Learning · Computer Science 2025-07-10 Victoria R. Li , Jenny Kaufmann , Martin Wattenberg , David Alvarez-Melis , Naomi Saphra

Supervised learning aims to train a classifier under the assumption that training and test data are from the same distribution. To ease the above assumption, researchers have studied a more realistic setting: out-of-distribution (OOD)…

Machine Learning · Computer Science 2023-02-28 Zhen Fang , Yixuan Li , Jie Lu , Jiahua Dong , Bo Han , Feng Liu

Systematic compositionality is an essential mechanism in human language, allowing the recombination of known parts to create novel expressions. However, existing neural models have been shown to lack this basic ability in learning symbolic…

Computation and Language · Computer Science 2021-10-01 Yichen Jiang , Mohit Bansal

Understanding the properties of games played under computational constraints remains challenging. For example, how do we expect rational (but computationally bounded) players to play games with a prohibitively large number of states, such…

Computer Science and Game Theory · Computer Science 2021-05-20 Thomas Orton

Language models often lack grounded reasoning capabilities in specialized domains where training data is scarce but bespoke systems excel. We introduce a general framework for distilling expert system reasoning into natural language…

Artificial Intelligence · Computer Science 2026-03-24 Zhenwei Tang , Qianfeng Wen , Seth Grief-Albert , Yahya Elgabra , Blair Yang , Honghua Dong , Ashton Anderson

Despite their central role in the success of foundational models and large-scale language modeling, the theoretical foundations governing the operation of Transformers remain only partially understood. Contemporary research has largely…

Machine Learning · Computer Science 2025-06-02 Sagar Ghosh , Kushal Bose , Swagatam Das

Large language models (LLMs) have achieved remarkable proficiency on solving diverse problems. However, their generalization ability is not always satisfying and the generalization problem is common for generative transformer models in…

Machine Learning · Computer Science 2024-08-20 Xingcheng Xu , Zihao Pan , Haipeng Zhang , Yanqing Yang

Out-of-distribution (O.O.D.) generalization remains to be a key challenge for real-world machine learning systems. We describe a method for O.O.D. generalization that, through training, encourages models to only preserve features in the…

Machine Learning · Computer Science 2022-08-09 Arjun Ashok , Chaitanya Devaguptapu , Vineeth Balasubramanian

Transformers can under some circumstances generalize to novel problem instances whose constituent parts might have been encountered during training, but whose compositions have not. What mechanisms underlie this ability for compositional…

Machine Learning · Computer Science 2025-02-18 Simon Schug , Seijin Kobayashi , Yassir Akram , João Sacramento , Razvan Pascanu

Modern chess engines significantly outperform human players and are essential for evaluating positions and move quality. These engines assign a numerical evaluation $E$ to positions, indicating an advantage for either white or black, but…

Physics and Society · Physics 2025-05-07 Marc Barthelemy

We study how large language models (LLMs) reason about memorized knowledge through simple binary relations such as equality ($=$), inequality ($<$), and inclusion ($\subset$). Unlike in-context reasoning, the axioms (e.g., $a < b, b < c$)…

Machine Learning · Computer Science 2025-09-18 Jonathan Shaki , Emanuele La Malfa , Michael Wooldridge , Sarit Kraus

Although pretrained Transformers such as BERT achieve high accuracy on in-distribution examples, do they generalize to new distributions? We systematically measure out-of-distribution (OOD) generalization for seven NLP datasets by…

Computation and Language · Computer Science 2020-04-17 Dan Hendrycks , Xiaoyuan Liu , Eric Wallace , Adam Dziedzic , Rishabh Krishnan , Dawn Song

We have seen numerous machine learning methods tackle the game of chess over the years. However, one common element in these works is the necessity of a finely optimized look ahead algorithm. The particular interest of this research lies…

Artificial Intelligence · Computer Science 2020-07-07 Arman Maesumi
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