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Neural networks have been achieving high generalization performance on many tasks despite being highly over-parameterized. Since classical statistical learning theory struggles to explain this behavior, much effort has recently been focused…

Machine Learning · Statistics 2021-06-16 Skander Karkar , Ibrahim Ayed , Emmanuel de Bézenac , Patrick Gallinari

In the field of machine learning there is a growing interest towards more robust and generalizable algorithms. This is for example important to bridge the gap between the environment in which the training data was collected and the…

Machine Learning · Computer Science 2020-10-08 Wim Casteels , Peter Hellinckx

Large Reasoning Models (LRMs) like o1 and DeepSeek-R1 have shown remarkable progress in natural language reasoning with long chain-of-thought (CoT), yet they remain inefficient or inaccurate when handling complex mathematical operations.…

Computation and Language · Computer Science 2025-06-13 Chengpeng Li , Zhengyang Tang , Ziniu Li , Mingfeng Xue , Keqin Bao , Tian Ding , Ruoyu Sun , Benyou Wang , Xiang Wang , Junyang Lin , Dayiheng Liu

Current literature, aiming to surpass the "Chain-of-Thought" approach, often resorts to external modi operandi involving halting, modifying, and then resuming the generation process to boost Large Language Models' (LLMs) reasoning…

Computation and Language · Computer Science 2024-06-04 Bilgehan Sel , Ahmad Al-Tawaha , Vanshaj Khattar , Ruoxi Jia , Ming Jin

Recent advances in natural language processing highlight two key factors for improving reasoning in large language models (LLMs): (i) allocating more test-time compute tends to help on harder problems but often introduces redundancy in the…

Computation and Language · Computer Science 2025-11-04 Riccardo Alberghi , Elizaveta Demyanenko , Luca Biggio , Luca Saglietti

Artificial Neural Networks are powerful function approximators capable of modelling solutions to a wide variety of problems, both supervised and unsupervised. As their size and expressivity increases, so too does the variance of the model,…

Neural and Evolutionary Computing · Computer Science 2018-01-26 Richard Evans , Edward Grefenstette

Large language models (LLMs) can achieve strong reasoning performance with sufficient computation, but they do not inherently know how much computation a task requires. We study budgeted inference-time reasoning for multiple tasks under a…

Artificial Intelligence · Computer Science 2026-01-08 Muyang Zhao , Qi Qi , Hao Sun

Although neural models have shown strong performance in datasets such as SNLI, they lack the ability to generalize out-of-distribution (OOD). In this work, we formulate a few-shot learning setup and examine the effects of natural language…

Computation and Language · Computer Science 2021-10-14 Yangqiaoyu Zhou , Chenhao Tan

Test-time scaling has emerged as an effective way to improve language models on challenging reasoning tasks. However, most existing methods treat each problem in isolation and do not systematically reuse knowledge from prior reasoning…

Computation and Language · Computer Science 2026-04-21 Di Wu , Devendra Singh Sachan , Wen-tau Yih , Mingda Chen

Neural reasoning accuracy improves when generating intermediate reasoning steps. However, the source of this improvement is yet unclear. Here, we investigate and factorize the benefit of generating intermediate steps for symbolic reasoning.…

Artificial Intelligence · Computer Science 2023-02-17 Yoichi Aoki , Keito Kudo , Tatsuki Kuribayashi , Ana Brassard , Masashi Yoshikawa , Keisuke Sakaguchi , Kentaro Inui

Pre-trained language models (LMs) are able to perform complex reasoning without explicit fine-tuning. To understand how pre-training with a next-token prediction objective contributes to the emergence of such reasoning capability, we…

Machine Learning · Computer Science 2024-06-24 Xinyi Wang , Alfonso Amayuelas , Kexun Zhang , Liangming Pan , Wenhu Chen , William Yang Wang

The ability to reason with multiple hierarchical structures is an attractive and desirable property of sequential inductive biases for natural language processing. Do the state-of-the-art Transformers and LSTM architectures implicitly…

Computation and Language · Computer Science 2021-11-30 Bill Tuck Weng Pung , Alvin Chan

Important tasks such as reasoning and planning are fundamentally algorithmic, meaning that solving them robustly requires acquiring true reasoning or planning algorithms, rather than shortcuts. Large Language Models lack true algorithmic…

Artificial Intelligence · Computer Science 2025-05-27 Lucas Saldyt , Subbarao Kambhampati

We investigate how neural networks can learn and process languages with hierarchical, compositional semantics. To this end, we define the artificial task of processing nested arithmetic expressions, and study whether different types of…

Computation and Language · Computer Science 2018-04-23 Dieuwke Hupkes , Sara Veldhoen , Willem Zuidema

Large reasoning models (LRMs) achieve impressive reasoning capabilities by generating lengthy chain-of-thoughts, but this "overthinking" incurs high latency and cost without commensurate accuracy gains. In this work, we introduce AALC, a…

Computation and Language · Computer Science 2025-08-11 Ruosen Li , Ziming Luo , Quan Zhang , Ruochen Li , Ben Zhou , Ali Payani , Xinya Du

We study the decentralized online regularized linear regression algorithm over random time-varying graphs. At each time step, every node runs an online estimation algorithm consisting of an innovation term processing its own new…

Machine Learning · Computer Science 2025-10-02 Xiwei Zhang , Tao Li , Xiaozheng Fu

A key aspect of human intelligence is the ability to imagine -- composing learned concepts in novel ways -- to make sense of new scenarios. Such capacity is not yet attained for machine learning systems. In this work, in the context of…

Artificial Intelligence · Computer Science 2023-10-31 Rim Assouel , Pau Rodriguez , Perouz Taslakian , David Vazquez , Yoshua Bengio

Chain-of-Thought (CoT) training has markedly advanced the reasoning capabilities of large language models (LLMs), yet the mechanisms by which CoT training enhances generalization remain inadequately understood. In this work, we demonstrate…

Machine Learning · Computer Science 2026-02-13 Xinhao Yao , Ruifeng Ren , Yun Liao , Lizhong Ding , Yong Liu

Machine learning algorithms typically assume independent and identically distributed samples in training and at test time. Much work has shown that high-performing ML classifiers can degrade significantly and provide overly-confident, wrong…

Computation and Language · Computer Science 2023-03-09 Jie Ren , Jiaming Luo , Yao Zhao , Kundan Krishna , Mohammad Saleh , Balaji Lakshminarayanan , Peter J. Liu

Neural networks (NN) perform well in diverse tasks, but sometimes produce nonsensical results to humans. Most NN models "solely" learn from (input, output) pairs, occasionally conflicting with human knowledge. Many studies indicate…

Machine Learning · Computer Science 2024-08-22 Mooho Song , Jay-Yoon Lee