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We define the local complexity of a neural network with continuous piecewise linear activations as a measure of the density of linear regions over an input data distribution. We show theoretically that ReLU networks that learn…

Machine Learning · Computer Science 2025-07-15 Niket Patel , Guido Montufar

The classic supervised classification algorithms are efficient, but time-consuming, complicated and not interpretable, which makes it difficult to analyze their results that limits the possibility to improve them based on real observations.…

Computation and Language · Computer Science 2018-03-05 Hussam Hamdan

Large language models (LLMs) are increasingly deployed on complex reasoning tasks, yet little is known about their ability to internally evaluate problem difficulty, which is an essential capability for adaptive reasoning and efficient…

Computation and Language · Computer Science 2025-10-14 Sunbowen Lee , Qingyu Yin , Chak Tou Leong , Jialiang Zhang , Yicheng Gong , Shiwen Ni , Min Yang , Xiaoyu Shen

While various complexity measures for deep neural networks exist, specifying an appropriate measure capable of predicting and explaining generalization in deep networks has proven challenging. We propose Neural Complexity (NC), a…

Machine Learning · Computer Science 2020-10-26 Yoonho Lee , Juho Lee , Sung Ju Hwang , Eunho Yang , Seungjin Choi

Event mentions in text correspond to real-world events of varying degrees of granularity. The task of subevent detection aims to resolve this granularity issue, recognizing the membership of multi-granular events in event complexes. Since…

Computation and Language · Computer Science 2021-09-15 Haoyu Wang , Hongming Zhang , Muhao Chen , Dan Roth

Large language models (LLMs) are increasingly deployed for understanding large codebases, but whether they understand operational semantics of long code context or rely on pattern matching shortcuts remains unclear. We distinguish between…

Computation and Language · Computer Science 2026-04-21 Adam Štorek , Mukur Gupta , Samira Hajizadeh , Prashast Srivastava , Suman Jana

Convolutional Neural Networks (CNNs) have recently achieved remarkably strong performance on the practically important task of sentence classification (kim 2014, kalchbrenner 2014, johnson 2014). However, these models require practitioners…

Computation and Language · Computer Science 2016-04-08 Ye Zhang , Byron Wallace

Large Language Models (LLMs) are being increasingly integrated into software systems, offering powerful capabilities but also raising concerns about fairness. Existing fairness benchmarks, however, focus on stereotype-specific associations,…

Software Engineering · Computer Science 2026-04-08 Gianmario Voria , Martina De Lucia , Alessandra Raia , Andrea De Lucia , Gemma Catolino , Fabio Palomba

Sensitivity is an important complexity measure of Boolean functions. In this paper we present properties of the minimal and maximal sensitivity of the simplified weighted sum function. A simple close formula of the minimal sensitivity of…

Discrete Mathematics · Computer Science 2016-01-28 Jiyou Li , Chu Luo , Zeying Xu

Large language Models (LLMs) are highly sensitive to variations in prompt formulation, which can significantly impact their ability to generate accurate responses. In this paper, we introduce a new task, Prompt Sensitivity Prediction, and a…

Computation and Language · Computer Science 2025-02-11 Amirhossein Razavi , Mina Soltangheis , Negar Arabzadeh , Sara Salamat , Morteza Zihayat , Ebrahim Bagheri

While LLMs have revolutionized the field of machine learning due to their high performance on a strikingly wide range of problems, they are also known to hallucinate false answers and underperform on less canonical versions of the same…

Machine Learning · Computer Science 2025-09-11 Kavi Gupta , Kate Sanders , Armando Solar-Lezama

Many sequence-to-sequence tasks in natural language processing are roughly monotonic in the alignment between source and target sequence, and previous work has facilitated or enforced learning of monotonic attention behavior via specialized…

Computation and Language · Computer Science 2021-04-09 Annette Rios , Chantal Amrhein , Noëmi Aepli , Rico Sennrich

We develop a linear response framework for interpretability that treats a neural network as a Bayesian statistical mechanical system. A small perturbation of the data distribution, for example shifting the Pile toward GitHub or legal text,…

Machine Learning · Computer Science 2026-03-10 Garrett Baker , George Wang , Jesse Hoogland , Daniel Murfet

Understanding the reasons behind the exceptional success of transformers requires a better analysis of why attention layers are suitable for NLP tasks. In particular, such tasks require predictive models to capture contextual meaning which…

Machine Learning · Statistics 2024-05-20 Simone Bombari , Marco Mondelli

While there is increasing concern about the interpretability of neural models, the evaluation of interpretability remains an open problem, due to the lack of proper evaluation datasets and metrics. In this paper, we present a novel…

Computation and Language · Computer Science 2022-11-16 Lijie Wang , Yaozong Shen , Shuyuan Peng , Shuai Zhang , Xinyan Xiao , Hao Liu , Hongxuan Tang , Ying Chen , Hua Wu , Haifeng Wang

Spectroscopy infers the internal structure of physical systems by measuring their response to perturbations. We apply this principle to neural networks: perturbing the data distribution by upweighting a token $y$ in context $x$, we measure…

Machine Learning · Computer Science 2026-01-21 Andrew Gordon , Garrett Baker , George Wang , William Snell , Stan van Wingerden , Daniel Murfet

Large language models (LLMs) with reasoning capabilities have fueled a compelling narrative that reasoning universally improves performance across language tasks. We test this claim through a comprehensive evaluation of 504 configurations…

Computation and Language · Computer Science 2026-03-02 Donghao Huang , Zhaoxia Wang

Learning robust and generalisable abstractions from high-dimensional input data is a central challenge in machine learning and its applications to high-energy physics (HEP). Solutions of lower functional complexity are known to produce…

Machine Learning · Computer Science 2026-01-16 Maciej Glowacki

Machine learning techniques using neural networks have achieved promising success for time-series data classification. However, the models that they produce are challenging to verify and interpret. In this paper, we propose an explainable…

Formal Languages and Automata Theory · Computer Science 2023-07-04 Danyang Li , Mingyu Cai , Cristian-Ioan Vasile , Roberto Tron

Relation classification is associated with many potential applications in the artificial intelligence area. Recent approaches usually leverage neural networks based on structure features such as syntactic or dependency features to solve…

Computation and Language · Computer Science 2016-08-30 Fei Li , Meishan Zhang , Guohong Fu , Tao Qian , Donghong Ji