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The Generalized Traveling Salesman Problem (GTSP) is a well-known combinatorial optimization problem with a host of applications. It is an extension of the Traveling Salesman Problem (TSP) where the set of cities is partitioned into…

Data Structures and Algorithms · Computer Science 2012-02-15 Daniel Karapetyan , Gregory Gutin

We propose a nested reduced-rank regression (NRRR) approach in fitting regression model with multivariate functional responses and predictors, to achieve tailored dimension reduction and facilitate interpretation/visualization of the…

Methodology · Statistics 2020-03-11 Xiaokang Liu , Shujie Ma , Kun Chen

Reinforcement learning with verifiable rewards (RLVR) has become a practical route to improve large language model reasoning, and Group Relative Policy Optimization (GRPO) is a widely used optimizer in this setting. However, RLVR training…

Machine Learning · Computer Science 2026-05-14 Tue Le , Linh Ngo Van , Trung Le

This thesis investigates the use of problem-specific knowledge to enhance a genetic algorithm approach to multiple-choice optimisation problems.It shows that such information can significantly enhance performance, but that the choice of…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin

Test-time data augmentation$-$averaging the predictions of a machine learning model across multiple augmented samples of data$-$is a widely used technique that improves the predictive performance. While many advanced learnable data…

Machine Learning · Statistics 2020-06-23 Dmitry Molchanov , Alexander Lyzhov , Yuliya Molchanova , Arsenii Ashukha , Dmitry Vetrov

The design of good heuristics or approximation algorithms for NP-hard combinatorial optimization problems often requires significant specialized knowledge and trial-and-error. Can we automate this challenging, tedious process, and learn the…

Machine Learning · Computer Science 2018-02-23 Hanjun Dai , Elias B. Khalil , Yuyu Zhang , Bistra Dilkina , Le Song

We present and analyze an algorithm designed for addressing vector-valued regression problems involving possibly infinite-dimensional input and output spaces. The algorithm is a randomized adaptation of reduced rank regression, a technique…

Machine Learning · Computer Science 2024-01-01 Giacomo Turri , Vladimir Kostic , Pietro Novelli , Massimiliano Pontil

While Annealing Machines (AM) have shown increasing capabilities in solving complex combinatorial problems, positioning themselves as a more immediate alternative to the expected advances of future fully quantum solutions, there are still…

Artificial Intelligence · Computer Science 2025-01-13 Pablo Loyola , Kento Hasegawa , Andres Hoyos-Idobro , Kazuo Ono , Toyotaro Suzumura , Yu Hirate , Masanao Yamaoka

Group distributionally robust optimization (GDRO) aims to develop models that perform well across $m$ distributions simultaneously. Existing GDRO algorithms can only process a fixed number of samples per iteration, either 1 or $m$, and…

Machine Learning · Computer Science 2025-05-22 Haomin Bai , Dingzhi Yu , Shuai Li , Haipeng Luo , Lijun Zhang

Most popular deep models for action recognition split video sequences into short sub-sequences consisting of a few frames; frame-based features are then pooled for recognizing the activity. Usually, this pooling step discards the temporal…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Anoop Cherian , Basura Fernando , Mehrtash Harandi , Stephen Gould

Reinforcement Learning with Verifiable Rewards (RLVR) has markedly enhanced the reasoning abilities of large language models (LLMs). Its success, however, largely depends on strong base models with rich world knowledge, yielding only modest…

Artificial Intelligence · Computer Science 2025-08-19 Yongxin Guo , Wenbo Deng , Zhenglin Cheng , Xiaoying Tang

We describe a new algorithm and R package for peak detection in genomic data sets using constrained changepoint algorithms. These detect changes from background to peak regions by imposing the constraint that the mean should alternately…

Computation · Statistics 2018-10-02 Toby Dylan Hocking , Guillem Rigaill , Paul Fearnhead , Guillaume Bourque

Group Relative Policy Optimization (GRPO) has emerged as the de facto Reinforcement Learning (RL) objective driving recent advancements in Multimodal Large Language Models. However, extending this success to open-source multimodal…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Wenbo Hu , Xin Chen , Yan Gao-Tian , Yihe Deng , Nanyun Peng , Kai-Wei Chang

Reinforcement Learning with Verifiable Rewards (RLVR) enhances Large Language Model (LLM) reasoning but suffers from advantage collapse on ``hard samples'' where all rollouts fail. This lack of variance eliminates crucial learning signals.…

Machine Learning · Computer Science 2026-05-08 Xinyu Lu , Kaiqi Zhang , Jinglin Yang , Boxi Cao , Yaojie Lu , Hongyu Lin , Min He , Xianpei Han , Le Sun

Humanoid robots must master numerous tasks with sparse rewards, posing a challenge for reinforcement learning (RL). We propose a method combining RL and automated planning to address this. Our approach uses short goal-conditioned policies…

Artificial Intelligence · Computer Science 2025-01-06 Gavin B. Rens

Fine-tuning Large Language Models (LLMs) and storing them for each downstream task or domain is impractical because of the massive model size (e.g., 350GB in GPT-3). Current literature, such as LoRA, showcases the potential of low-rank…

Computation and Language · Computer Science 2024-05-01 Soroush Abbasi Koohpayegani , KL Navaneet , Parsa Nooralinejad , Soheil Kolouri , Hamed Pirsiavash

In this paper, we propose an interactive genetic algorithm for solving multi-objective combinatorial optimization problems under preference imprecision. More precisely, we consider problems where the decision maker's preferences over…

Artificial Intelligence · Computer Science 2023-11-13 Nawal Benabbou , Cassandre Leroy , Thibaut Lust

Diffusion policies, widely adopted in decision-making scenarios such as robotics, gaming and autonomous driving, are capable of learning diverse skills from demonstration data due to their high representation power. However, the sub-optimal…

Machine Learning · Computer Science 2025-09-30 Ningyuan Yang , Jiaxuan Gao , Feng Gao , Yi Wu , Chao Yu

Since DeepSeek-R1 popularized, Group Relative Policy Optimization (GRPO) has become the core part of training Reasoning LLMs. However, we find some deficiency that influences RL stability and inference efficiency, like zero-variance in…

Computation and Language · Computer Science 2025-09-30 Chen Li , Nazhou Liu , Kai Yang

Group Relative Policy Optimization (GRPO) is effective for training language models on complex reasoning. However, since the objective is defined relative to a group of sampled trajectories, extended deliberation can create more chances to…