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Pre-trained Large Language Models Use Fourier Features to Compute
  Addition

Pre-trained Large Language Models Use Fourier Features to Compute Addition

5 June 2024
Tianyi Zhou
Deqing Fu
Willie Neiswanger
Robin Jia
    LRM
ArXiv (abs)PDFHTMLGithub

Papers citing "Pre-trained Large Language Models Use Fourier Features to Compute Addition"

22 / 22 papers shown
Sequential Enumeration in Large Language Models
Sequential Enumeration in Large Language Models
Kuinan Hou
Marco Zorzi
Alberto Testolin
209
1
0
04 Dec 2025
Unravelling the Mechanisms of Manipulating Numbers in Language Models
Unravelling the Mechanisms of Manipulating Numbers in Language Models
Michal Štefánik
Timothee Mickus
Marek Kadlcík
Bertram Højer
Michal Spiegel
Raul Vazquez
Aman Sinha
Josef Kuchař
Philipp Mondorf
163
1
0
30 Oct 2025
StreetMath: Study of LLMs' Approximation Behaviors
StreetMath: Study of LLMs' Approximation Behaviors
Chiung-Yi Tseng
Somshubhra Roy
Maisha Thasin
Danyang Zhang
Blessing Effiong
LRM
171
1
0
27 Oct 2025
Transformers Provably Learn Algorithmic Solutions for Graph Connectivity, But Only with the Right Data
Transformers Provably Learn Algorithmic Solutions for Graph Connectivity, But Only with the Right Data
Qilin Ye
Deqing Fu
Robin Jia
Vatsal Sharan
216
0
0
22 Oct 2025
Language Models Do Not Embed Numbers Continuously
Language Models Do Not Embed Numbers Continuously
Alex O. Davies
Roussel Nzoyem
Nirav Ajmeri
Telmo de Menezes e Silva Filho
158
3
0
09 Oct 2025
Reverse Browser: Vector-Image-to-Code Generator
Reverse Browser: Vector-Image-to-Code Generator
Zoltan Toth-Czifra
110
0
0
05 Sep 2025
Modular Arithmetic: Language Models Solve Math Digit by Digit
Modular Arithmetic: Language Models Solve Math Digit by Digit
Tanja Baeumel
Daniil Gurgurov
Yusser Al Ghussin
Josef van Genabith
Simon Ostermann
AIFinLRM
224
4
0
04 Aug 2025
Function Induction and Task Generalization: An Interpretability Study with Off-by-One Addition
Function Induction and Task Generalization: An Interpretability Study with Off-by-One Addition
Qinyuan Ye
Robin Jia
Xiang Ren
LRMELM
247
2
0
14 Jul 2025
Mechanistic Indicators of Understanding in Large Language Models
Mechanistic Indicators of Understanding in Large Language Models
Pierre Beckmann
Matthieu Queloz
386
2
0
07 Jul 2025
Latent Concept Disentanglement in Transformer-based Language Models
Latent Concept Disentanglement in Transformer-based Language Models
Guan Zhe Hong
Bhavya Vasudeva
Willie Neiswanger
Cyrus Rashtchian
Prabhakar Raghavan
Rina Panigrahy
ReLMLRM
437
2
0
20 Jun 2025
Path Channels and Plan Extension Kernels: a Mechanistic Description of Planning in a Sokoban RNN
Path Channels and Plan Extension Kernels: a Mechanistic Description of Planning in a Sokoban RNN
Mohammad Taufeeque
Aaron David Tucker
Adam Gleave
Adrià Garriga-Alonso
358
0
0
11 Jun 2025
Enhancing Accuracy and Maintainability in Nuclear Plant Data Retrieval: A Function-Calling LLM Approach Over NL-to-SQL
Enhancing Accuracy and Maintainability in Nuclear Plant Data Retrieval: A Function-Calling LLM Approach Over NL-to-SQL
Mishca de Costa
Muhammad Anwar
Dave Mercier
Mark Randall
Issam Hammad
186
2
0
10 Jun 2025
Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs
Addition in Four Movements: Mapping Layer-wise Information Trajectories in LLMs
Yao Yan
202
3
0
09 Jun 2025
Alternating Gradient Flows: A Theory of Feature Learning in Two-layer Neural Networks
Alternating Gradient Flows: A Theory of Feature Learning in Two-layer Neural Networks
D. Kunin
Giovanni Luca Marchetti
F. Chen
Dhruva Karkada
James B. Simon
M. DeWeese
Surya Ganguli
Nina Miolane
550
7
0
06 Jun 2025
Understanding In-context Learning of Addition via Activation Subspaces
Understanding In-context Learning of Addition via Activation Subspaces
Xinyan Hu
Kayo Yin
Michael I. Jordan
Jacob Steinhardt
Lijie Chen
589
9
0
08 May 2025
Block Circulant Adapter for Large Language Models
Block Circulant Adapter for Large Language ModelsInternational Joint Conference on Artificial Intelligence (IJCAI), 2025
Xinyu Ding
Meiqi Wang
Siyu Liao
Zhongfeng Wang
332
2
0
01 May 2025
Implicit Reasoning in Transformers is Reasoning through Shortcuts
Implicit Reasoning in Transformers is Reasoning through ShortcutsAnnual Meeting of the Association for Computational Linguistics (ACL), 2025
Tianhe Lin
Jian Xie
Siyu Yuan
Deqing Yang
ReLMLRM
506
10
0
10 Mar 2025
Investigating Compositional Reasoning in Time Series Foundation Models
Investigating Compositional Reasoning in Time Series Foundation Models
Willa Potosnak
Cristian Challu
Mononito Goswami
Kin G. Olivares
Michał Wiliński
Nina Żukowska
Artur Dubrawski
ReLMAI4TSLRM
461
5
0
09 Feb 2025
Arithmetic Without Algorithms: Language Models Solve Math With a Bag of Heuristics
Arithmetic Without Algorithms: Language Models Solve Math With a Bag of HeuristicsInternational Conference on Learning Representations (ICLR), 2024
Yaniv Nikankin
Anja Reusch
Aaron Mueller
Yonatan Belinkov
AIFinLRM
471
83
0
28 Oct 2024
Language Models Encode Numbers Using Digit Representations in Base 10
Language Models Encode Numbers Using Digit Representations in Base 10North American Chapter of the Association for Computational Linguistics (NAACL), 2024
Amit Arnold Levy
Mor Geva
343
26
0
15 Oct 2024
Composing Global Solutions to Reasoning Tasks via Algebraic Objects in Neural Nets
Composing Global Solutions to Reasoning Tasks via Algebraic Objects in Neural Nets
Yuandong Tian
578
4
0
02 Oct 2024
IsoBench: Benchmarking Multimodal Foundation Models on Isomorphic
  Representations
IsoBench: Benchmarking Multimodal Foundation Models on Isomorphic Representations
Deqing Fu
Ghazal Khalighinejad
Ollie Liu
Bhuwan Dhingra
Dani Yogatama
Robin Jia
Willie Neiswanger
520
36
0
01 Apr 2024
1
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