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Motivated by the problem of finding finite versions of classical incompleteness theorems, we present some conjectures that go beyond ${\bf NP\neq co NP}$. These conjectures formally connect computational complexity with the difficulty of…

Logic · Mathematics 2017-05-22 Pavel Pudlak

Despite surpassing human performance across mathematics, coding, and other knowledge-intensive tasks, large language models (LLMs) continue to struggle with causal reasoning. A core obstacle is the target data itself: causal systems are…

Artificial Intelligence · Computer Science 2026-05-12 Nicolás Astorga , Anita Kriz , Mihaela van der Schaar

Contrastive explanation methods go beyond transparency and address the contrastive aspect of explanations. Such explanations are emerging as an attractive option to provide actionable change to scenarios adversely impacted by classifiers'…

Computation and Language · Computer Science 2022-10-18 Julia El Zini , Mariette Awad

Probabilities of causation are fundamental to individual-level explanation and decision making, yet they are inherently counterfactual and not point-identifiable from data in general. Existing bounds either disregard available covariates,…

Artificial Intelligence · Computer Science 2026-02-17 Yuxuan Xie , Ang Li

Large language models increasingly fail in a way that scalar accuracy cannot diagnose: they produce a sound reasoning trace and then abandon it under social pressure or an authoritative hint. We argue that this is a control failure, not a…

Artificial Intelligence · Computer Science 2026-04-09 Edward Y. Chang

We study the problem of assessing the robustness of counterfactual explanations for deep learning models. We focus on $\textit{plausible model shifts}$ altering model parameters and propose a novel framework to reason about the robustness…

Machine Learning · Computer Science 2024-07-11 Luca Marzari , Francesco Leofante , Ferdinando Cicalese , Alessandro Farinelli

Interpretability or explainability is an emerging research field in NLP. From a user-centric point of view, the goal is to build models that provide proper justification for their decisions, similar to those of humans, by requiring the…

Understanding causality has vital importance for various Natural Language Processing (NLP) applications. Beyond the labeled instances, conceptual explanations of the causality can provide deep understanding of the causal facts to facilitate…

Artificial Intelligence · Computer Science 2022-05-13 Li Du , Xiao Ding , Kai Xiong , Ting Liu , Bing Qin

The ability to understand causality significantly impacts the competence of large language models (LLMs) in output explanation and counterfactual reasoning, as causality reveals the underlying data distribution. However, the lack of a…

Machine Learning · Computer Science 2024-09-30 Yu Zhou , Xingyu Wu , Beicheng Huang , Jibin Wu , Liang Feng , Kay Chen Tan

Counterfactual explanations promote explainability in machine learning models by answering the question "how should an input instance be perturbed to obtain a desired predicted label?". The comparison of this instance before and after…

Machine Learning · Computer Science 2022-11-09 Jing Ma , Ruocheng Guo , Saumitra Mishra , Aidong Zhang , Jundong Li

Neurally-parameterized Structural Causal Models in the Pearlian notion to causality, referred to as NCM, were recently introduced as a step towards next-generation learning systems. However, said NCM are only concerned with the learning…

Machine Learning · Computer Science 2022-12-27 Matej Zečević , Devendra Singh Dhami , Kristian Kersting

Counterfactual reasoning is pivotal in human cognition and especially important for providing explanations and making decisions. While Judea Pearl's influential approach is theoretically elegant, its generation of a counterfactual scenario…

Artificial Intelligence · Computer Science 2024-11-01 Guang-Yuan Hao , Jiji Zhang , Biwei Huang , Hao Wang , Kun Zhang

The imminent need to interpret the output of a Machine Learning model with counterfactual (CF) explanations - via small perturbations to the input - has been notable in the research community. Although the variety of CF examples is…

Machine Learning · Computer Science 2024-04-23 Kleopatra Markou , Dimitrios Tomaras , Vana Kalogeraki , Dimitrios Gunopulos

Among Judea Pearl's many contributions to Causality and Statistics, the graphical d-separation} criterion, the do-calculus and the mediation formula stand out. In this chapter we show that d-separation} provides direct insight into an…

Methodology · Statistics 2021-08-31 Ilya Shpitser , Thomas S. Richardson , James M. Robins

Dealing with context dependent knowledge has led to different formalizations of the notion of context. Among them is the Contextualized Knowledge Repository (CKR) framework, which is rooted in description logics but links on the reasoning…

Artificial Intelligence · Computer Science 2021-12-23 Loris Bozzato , Thomas Eiter , Rafael Kiesel

Multilingual language models achieve strong aggregate performance yet often behave unpredictably across languages, scripts, and cultures. We argue that mechanistic explanations for such models should satisfy a \emph{causal} standard: claims…

Computation and Language · Computer Science 2026-01-01 Yanan Long

We introduce $\textit{PCFTL (Probabilistic CounterFactual Temporal Logic)}$, a new probabilistic temporal logic for the verification of Markov Decision Processes (MDP). PCFTL is the first to include operators for causal reasoning, allowing…

Artificial Intelligence · Computer Science 2025-07-02 Milad Kazemi , Nicola Paoletti

Providing explanations about how machine learning algorithms work and/or make particular predictions is one of the main tools that can be used to improve their trusworthiness, fairness and robustness. Among the most intuitive type of…

Machine Learning · Computer Science 2024-04-12 Rubén Ruiz-Torrubiano

Causal reasoning (CR) is a crucial aspect of intelligence, essential for problem-solving, decision-making, and understanding the world. While language models (LMs) can generate rationales for their outputs, their ability to reliably perform…

Artificial Intelligence · Computer Science 2025-02-19 Longxuan Yu , Delin Chen , Siheng Xiong , Qingyang Wu , Qingzhen Liu , Dawei Li , Zhikai Chen , Xiaoze Liu , Liangming Pan

Understanding predictions made by deep neural networks is notoriously difficult, but also crucial to their dissemination. As all machine learning based methods, they are as good as their training data, and can also capture unwanted biases.…

Computation and Language · Computer Science 2022-11-15 Amir Feder , Nadav Oved , Uri Shalit , Roi Reichart
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