English
Related papers

Related papers: Learning to Prove Trigonometric Identities

200 papers

Interactive theorem provers (ITPs) are powerful tools for the formal verification of mathematical proofs down to the axiom level. However, their lack of a natural language interface remains a significant limitation. Recent advancements in…

Logic in Computer Science · Computer Science 2025-07-01 Xiaolin Hu , Qinghua Zhou , Bogdan Grechuk , Ivan Y. Tyukin

In this work, we present an unconstrained face verification algorithm and evaluate it on the recently released IJB-A dataset that aims to push the boundaries of face verification methods. The proposed algorithm couples a deep CNN-based…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Swami Sankaranarayanan , Azadeh Alavi , Rama Chellappa

In this paper, we demonstrate how to do automated theorem proving in the presence of a large knowledge base of potential premises without learning from human proofs. We suggest an exploration mechanism that mixes in additional premises…

Machine Learning · Computer Science 2020-06-15 Kshitij Bansal , Christian Szegedy , Markus N. Rabe , Sarah M. Loos , Viktor Toman

A large part of modern machine learning theory often involves computing the high-dimensional expected trace of a rational expression of large rectangular random matrices. To symbolically compute such quantities using free probability…

Machine Learning · Computer Science 2025-04-16 Arjun Subramonian , Elvis Dohmatob

Talking face generation (TFG) aims to animate a target identity's face to create realistic talking videos. Personalized TFG is a variant that emphasizes the perceptual identity similarity of the synthesized result (from the perspective of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-16 Zhenhui Ye , Tianyun Zhong , Yi Ren , Ziyue Jiang , Jiawei Huang , Rongjie Huang , Jinglin Liu , Jinzheng He , Chen Zhang , Zehan Wang , Xize Chen , Xiang Yin , Zhou Zhao

While statement autoformalization has advanced rapidly, full-theorem autoformalization remains largely unexplored. Existing iterative refinement methods in statement autoformalization typically improve isolated aspects of formalization,…

Computation and Language · Computer Science 2026-05-08 Lan Zhang , Marco Valentino , André Freitas

Image-guided drawing can compensate for the lack of skills but often requires a significant number of repetitive strokes to create textures. Existing automatic stroke synthesis methods are usually limited to predefined styles or require…

Graphics · Computer Science 2021-08-17 Yilan Chen , Kin Chung Kwan , Li-Yi Wei , Hongbo Fu

In some face recognition applications, we are interested to verify whether an individual is a member of a group, without revealing their identity. Some existing methods, propose a mechanism for quantizing precomputed face descriptors into…

Computer Vision and Pattern Recognition · Computer Science 2022-06-20 Marzieh Gheisari , Javad Amirian , Teddy Furon , Laurent Amsaleg

Self-training is a useful strategy for semi-supervised learning, leveraging raw texts for enhancing model performances. Traditional self-training methods depend on heuristics such as model confidence for instance selection, the manual…

Computation and Language · Computer Science 2018-04-17 Chenhua Chen , Yue Zhang

This paper tackles the problem of formulating and proving the completeness of focused-like proof systems in an automated fashion. Focusing is a discipline on proofs which structures them into phases in order to reduce proof search…

Logic in Computer Science · Computer Science 2015-11-16 Vivek Nigam , Giselle Reis , Leonardo Lima

We improve the complex number identity proving method to a fully automated procedure, based on elimination ideals. By using declarative equations or rewriting each real-relational hypothesis $h_i$ to $h_i-r_i$, and the thesis $t$ to $t-r$,…

Computational Geometry · Computer Science 2025-11-19 Zoltán Kovács , Xicheng Peng

Machine-assisted theorem proving refers to the process of conducting structured reasoning to automatically generate proofs for mathematical theorems. Recently, there has been a surge of interest in using machine learning models in…

Logic in Computer Science · Computer Science 2025-02-03 Leni Aniva , Chuyue Sun , Brando Miranda , Clark Barrett , Sanmi Koyejo

In the past few years, the field of computer vision has gone through a revolution fueled mainly by the advent of large datasets and the adoption of deep convolutional neural networks for end-to-end learning. The person re-identification…

Computer Vision and Pattern Recognition · Computer Science 2017-11-22 Alexander Hermans , Lucas Beyer , Bastian Leibe

The last decade's research in artificial intelligence had a significant impact on the advance of autonomous driving. Yet, safety remains a major concern when it comes to deploying such systems in high-risk environments. The objective of…

Computer Vision and Pattern Recognition · Computer Science 2022-11-16 Charles Corbière

Large Language Models (LLMs), when enhanced through reasoning-oriented post-training, evolve into powerful Large Reasoning Models (LRMs). Tool-Integrated Reasoning (TIR) further extends their capabilities by incorporating external tools,…

Computation and Language · Computer Science 2025-07-30 Yifan Wei , Xiaoyan Yu , Yixuan Weng , Tengfei Pan , Angsheng Li , Li Du

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

Artificial Intelligence · Computer Science 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

This report demonstrates several methods used to make a self-driving vehicle using a supervised learning algorithm and a forward-facing RGBD camera. The project originally involved research in creating an adversarial attack on the vehicle's…

Noisy data, non-convex objectives, model misspecification, and numerical instability can all cause undesired behaviors in machine learning systems. As a result, detecting actual implementation errors can be extremely difficult. We…

Software Engineering · Computer Science 2017-06-28 Daniel Selsam , Percy Liang , David L. Dill

Truss layout design, namely finding a lightweight truss layout satisfying all the physical constraints, is a fundamental problem in the building industry. Generating the optimal layout is a challenging combinatorial optimization problem,…

Artificial Intelligence · Computer Science 2023-06-28 Weihua Du , Jinglun Zhao , Chao Yu , Xingcheng Yao , Zimeng Song , Siyang Wu , Ruifeng Luo , Zhiyuan Liu , Xianzhong Zhao , Yi Wu

I propose a system for Automated Theorem Proving in higher order logic using deep learning and eschewing hand-constructed features. Holophrasm exploits the formalism of the Metamath language and explores partial proof trees using a…

Artificial Intelligence · Computer Science 2016-08-11 Daniel Whalen