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We present a unified probabilistic framework for simultaneous trajectory estimation and planning (STEAP). Estimation and planning problems are usually considered separately, however, within our framework we show that solving them…

Robotics · Computer Science 2018-07-30 Mustafa Mukadam , Jing Dong , Frank Dellaert , Byron Boots

Recent years have seen considerable advancements in multi-step reasoning with Large Language Models (LLMs). The previous studies have elucidated the merits of integrating feedback or search mechanisms during model inference to improve the…

Computation and Language · Computer Science 2023-10-17 Qianli Ma , Haotian Zhou , Tingkai Liu , Jianbo Yuan , Pengfei Liu , Yang You , Hongxia Yang

Pretrained language models have shown superior performance on many natural language processing tasks, yet they still struggle at multi-step formal reasoning tasks like grade school math problems. One key challenge of finetuning them to…

Machine Learning · Computer Science 2023-02-20 Ansong Ni , Jeevana Priya Inala , Chenglong Wang , Oleksandr Polozov , Christopher Meek , Dragomir Radev , Jianfeng Gao

Machine reading comprehension methods that generate answers by referring to multiple passages for a question have gained much attention in AI and NLP communities. The current methods, however, do not investigate the relationships among…

Computation and Language · Computer Science 2020-04-30 Makoto Nakatsuji , Sohei Okui

Large language models augmented with task-relevant documents have demonstrated impressive performance on knowledge-intensive tasks. However, regarding how to obtain effective documents, the existing methods are mainly divided into two…

Computation and Language · Computer Science 2023-10-10 Zhangyin Feng , Xiaocheng Feng , Dezhi Zhao , Maojin Yang , Bing Qin

The optimal robot assembly planning problem is challenging due to the necessity of finding the optimal solution amongst an exponentially vast number of possible plans, all while satisfying a selection of constraints. Traditionally, robotic…

Robotics · Computer Science 2025-02-25 Kartik Nagpal , Negar Mehr

Large language models (LLMs) have demonstrated remarkable capabilities in problem-solving. However, their proficiency in solving mathematical problems remains inadequate. We propose MathScale, a simple and scalable method to create…

Computation and Language · Computer Science 2024-03-06 Zhengyang Tang , Xingxing Zhang , Benyou Wang , Furu Wei

Recent years have seen significant advancement in text generation tasks with the help of neural language models. However, there exists a challenging task: generating math problem text based on mathematical equations, which has made little…

Computation and Language · Computer Science 2021-07-27 Tianyang Cao , Shuang Zeng , Songge Zhao , Mairgup Mansur , Baobao Chang

Math word problem solver requires both precise relation reasoning about quantities in the text and reliable generation for the diverse equation. Current sequence-to-tree or relation extraction methods regard this only from a fixed view,…

Computation and Language · Computer Science 2023-08-29 Wenqi Zhang , Yongliang Shen , Yanna Ma , Xiaoxia Cheng , Zeqi Tan , Qingpeng Nong , Weiming Lu

Devising intelligent robots or agents that interact with humans is a major challenge for artificial intelligence. In such contexts, agents must constantly adapt their decisions according to human activities and modify their goals. In this…

Artificial Intelligence · Computer Science 2018-10-26 Damien Pellier , Mickaël Vanneufville , Humbert Fiorino , Marc Métivier , Bruno Bouzy

Model-based reinforcement learning is an appealing framework for creating agents that learn, plan, and act in sequential environments. Model-based algorithms typically involve learning a transition model that takes a state and an action and…

Machine Learning · Computer Science 2019-06-03 Kavosh Asadi , Dipendra Misra , Seungchan Kim , Michel L. Littman

Intelligent motion planning is one of the core components in automated vehicles, which has received extensive interests. Traditional motion planning methods suffer from several drawbacks in terms of optimality, efficiency and generalization…

Robotics · Computer Science 2020-05-12 Chenyang Xi , Tianyu Shi , Yuankai Wu , Lijun Sun

This work deals with the problem of choosing a time step for the numerical solution of boundary value problems for parabolic equations. The problem solution is derived using the fully implicit scheme, whereas a time step is selected via…

Numerical Analysis · Computer Science 2013-11-13 Petr N. Vabishchevich

While computer and communication technologies have provided effective means to scale up many aspects of education, the submission and grading of assessments such as homework assignments and tests remains a weak link. In this paper, we study…

Machine Learning · Statistics 2015-01-20 Andrew S. Lan , Divyanshu Vats , Andrew E. Waters , Richard G. Baraniuk

Few-shot learning is a challenging task that requires language models to generalize from limited examples. Large language models like GPT-3 and PaLM have made impressive progress in this area, but they still face difficulties in reasoning…

Computation and Language · Computer Science 2023-05-25 Yifei Li , Zeqi Lin , Shizhuo Zhang , Qiang Fu , Bei Chen , Jian-Guang Lou , Weizhu Chen

This research introduces an innovative mathematical learning approach that integrates generative AI to cultivate a structured learning rather than quick solution. Our method combines chatbot capabilities and generative AI to offer…

Computers and Society · Computer Science 2024-07-23 Aditi Singh , Abul Ehtesham , Saket Kumar , Gaurav Kumar Gupta , Tala Talaei Khoei

Interval Markov decision processes (IMDPs) generalise classical MDPs by having interval-valued transition probabilities. They provide a powerful modelling tool for probabilistic systems with an additional variation or uncertainty that…

Systems and Control · Computer Science 2017-07-07 Ernst Moritz Hahn , Vahid Hashemi , Holger Hermanns , Morteza Lahijanian , Andrea Turrini

Language models have been shown to perform remarkably well on a wide range of natural language processing tasks. In this paper, we propose LEAP, a novel system that uses language models to perform multi-step logical reasoning and…

Computation and Language · Computer Science 2023-11-08 Hongyu Zhao , Kangrui Wang , Mo Yu , Hongyuan Mei

We consider large-scale Markov decision processes (MDPs) with a risk measure of variability in cost, under the risk-aware MDPs paradigm. Previous studies showed that risk-aware MDPs, based on a minimax approach to handling risk, can be…

Systems and Control · Computer Science 2017-05-17 Pengqian Yu , William B. Haskell , Huan Xu

We propose a methodology at the nexus of operations research and machine learning (ML) leveraging generic approximators available from ML to accelerate the solution of mixed-integer linear two-stage stochastic programs. We aim at solving…

Optimization and Control · Mathematics 2022-06-14 Eric Larsen , Emma Frejinger , Bernard Gendron , Andrea Lodi