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The most promising recent methods for AI reasoning require applying variants of reinforcement learning (RL) either on rolled out trajectories from the LLMs, even for the step-wise rewards, or large quantities of human-annotated trajectory…

Artificial Intelligence · Computer Science 2025-06-25 Sara Rajaee , Kumar Pratik , Gabriele Cesa , Arash Behboodi

Prior work on partial labels learning (PLL) has shown that learning is possible even when each instance is associated with a bag of labels, rather than a single accurate but costly label. However, the necessary conditions for learning with…

Machine Learning · Statistics 2026-03-23 Nicolas A. Errandonea , Santiago Mazuelas , Jose A. Lozano , Sanjoy Dasgupta

A weakly-supervised learning framework named as complementary-label learning has been proposed recently, where each sample is equipped with a single complementary label that denotes one of the classes the sample does not belong to. However,…

Machine Learning · Statistics 2020-07-24 Yuzhou Cao , Shuqi Liu , Yitian Xu

Programmatic weak supervision creates models without hand-labeled training data by combining the outputs of heuristic labelers. Existing frameworks make the restrictive assumption that labelers output a single class label. Enabling users to…

Machine Learning · Computer Science 2022-03-28 Peilin Yu , Tiffany Ding , Stephen H. Bach

Large formal mathematical libraries consist of millions of atomic inference steps that give rise to a corresponding number of proved statements (lemmas). Analogously to the informal mathematical practice, only a tiny fraction of such…

Artificial Intelligence · Computer Science 2014-02-17 Cezary Kaliszyk , Josef Urban

We consider the task of automated theorem proving, a key AI task. Deep learning has shown promise for training theorem provers, but there are limited human-written theorems and proofs available for supervised learning. To address this…

Logic in Computer Science · Computer Science 2020-11-02 Mingzhe Wang , Jia Deng

Given $k$ pre-trained classifiers and a stream of unlabeled data examples, how can we actively decide when to query a label so that we can distinguish the best model from the rest while making a small number of queries? Answering this…

Machine Learning · Computer Science 2021-04-20 Mohammad Reza Karimi , Nezihe Merve Gürel , Bojan Karlaš , Johannes Rausch , Ce Zhang , Andreas Krause

Large language models~(LLMs) present an intriguing avenue of exploration in the domain of formal theorem proving. Nonetheless, the full utilization of these models, particularly in terms of demonstration formatting and organization, remains…

Computation and Language · Computer Science 2023-05-29 Xueliang Zhao , Wenda Li , Lingpeng Kong

Deep neural models have achieved state of the art performance on a wide range of problems in computer science, especially in computer vision. However, deep neural networks often require large datasets of labeled samples to generalize…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Patrick Kage , Jay C. Rothenberger , Pavlos Andreadis , Dimitrios I. Diochnos

We use automated theorem provers to significantly shorten a formal development in higher order set theory. The development includes many standard theorems such as the fundamental theorem of arithmetic and irrationality of square root of…

Logic in Computer Science · Computer Science 2025-09-11 Chad E. Brown , Cezary Kaliszyk , Martin Suda , Josef Urban

We investigate probabilistic decoupling of labels supplied for training, from the underlying classes for prediction. Decoupling enables an inference scheme general enough to implement many classification problems, including supervised,…

Machine Learning · Computer Science 2019-05-30 Jeppe Nørregaard , Lars Kai Hansen

Semi-supervised semantic segmentation, which leverages a limited set of labeled images, helps to relieve the heavy annotation burden. While pseudo-labeling strategies yield promising results, there is still room for enhancing the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Yuanbin Fu , Xiaojie Guo

Despite the success of large language models (LLMs), the task of theorem proving still remains one of the hardest reasoning tasks that is far from being fully solved. Prior methods using language models have demonstrated promising results,…

New proof assistant developments often involve concepts similar to already formalized ones. When proving their properties, a human can often take inspiration from the existing formalized proofs available in other provers or libraries. In…

Artificial Intelligence · Computer Science 2015-09-14 Thibault Gauthier , Cezary Kaliszyk

Despite its great success, machine learning can have its limits when dealing with insufficient training data. A potential solution is the additional integration of prior knowledge into the training process which leads to the notion of…

In cross-lingual text classification, one seeks to exploit labeled data from one language to train a text classification model that can then be applied to a completely different language. Recent multilingual representation models have made…

Computation and Language · Computer Science 2020-07-31 Xin Dong , Yaxin Zhu , Yupeng Zhang , Zuohui Fu , Dongkuan Xu , Sen Yang , Gerard de Melo

In text classification tasks, useful information is encoded in the label names. Label semantic aware systems have leveraged this information for improved text classification performance during fine-tuning and prediction. However, use of…

Computation and Language · Computer Science 2022-05-31 Aaron Mueller , Jason Krone , Salvatore Romeo , Saab Mansour , Elman Mansimov , Yi Zhang , Dan Roth

Formal reasoning and automated theorem proving constitute a challenging subfield of machine learning, in which machines are tasked with proving mathematical theorems using formal languages like Lean. A formal verification system can check…

Artificial Intelligence · Computer Science 2025-11-05 Azim Ospanov , Farzan Farnia , Roozbeh Yousefzadeh

In recent years, multi-label classification problem has become a controversial issue. In this kind of classification, each sample is associated with a set of class labels. Ensemble approaches are supervised learning algorithms in which an…

Machine Learning · Computer Science 2018-01-09 Amirreza Mahdavi-Shahri , Mahboobeh Houshmand , Mahdi Yaghoobi , Mehrdad Jalali

We introduce a theorem proving algorithm that uses practically no domain heuristics for guiding its connection-style proof search. Instead, it runs many Monte-Carlo simulations guided by reinforcement learning from previous proof attempts.…

Artificial Intelligence · Computer Science 2018-05-22 Cezary Kaliszyk , Josef Urban , Henryk Michalewski , Mirek Olšák