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It has long been recognized that multi-agent reinforcement learning (MARL) faces significant scalability issues due to the fact that the size of the state and action spaces are exponentially large in the number of agents. In this paper, we…

Optimization and Control · Mathematics 2020-06-12 Guannan Qu , Yiheng Lin , Adam Wierman , Na Li

The scaling laws guiding modern model training were calibrated for a single regime: data-rich, single-epoch pretraining. The dominant such scaling law form, Chinchilla's $L = E + A/N^\alpha + B/D^\beta$, has three structural limitations…

Machine Learning · Computer Science 2026-05-12 Christopher M. Bryant , Hao Liu

Traditional scaling laws in natural language processing suggest that increasing model size and training data enhances performance. However, recent studies reveal deviations, particularly in large language models, where performance…

Machine Learning · Computer Science 2025-07-16 Zhengyu Chen , Siqi Wang , Teng Xiao , Yudong Wang , Shiqi Chen , Xunliang Cai , Junxian He , Jingang Wang

Recent advancement of large-scale pretrained models such as BERT, GPT-3, CLIP, and Gopher, has shown astonishing achievements across various task domains. Unlike vision recognition and language models, studies on general-purpose user…

Information Retrieval · Computer Science 2022-11-23 Kyuyong Shin , Hanock Kwak , Su Young Kim , Max Nihlen Ramstrom , Jisu Jeong , Jung-Woo Ha , Kyung-Min Kim

Planning at execution time has been shown to dramatically improve performance for agents in both single-agent and multi-agent settings. A well-known family of approaches to planning at execution time are AlphaZero and its variants, which…

Artificial Intelligence · Computer Science 2024-06-14 Carlos Martin , Tuomas Sandholm

Scaling laws for large language models (LLMs) have provided useful guidance in training ever larger models for predictable performance gains. Time series forecasting shares a similar sequential structure to language, and is amenable to…

Machine Learning · Computer Science 2025-01-09 Thomas D. P. Edwards , James Alvey , Justin Alsing , Nam H. Nguyen , Benjamin D. Wandelt

This paper studies policy optimization algorithms for multi-agent reinforcement learning. We begin by proposing an algorithm framework for two-player zero-sum Markov Games in the full-information setting, where each iteration consists of a…

Machine Learning · Computer Science 2022-07-26 Runyu Zhang , Qinghua Liu , Huan Wang , Caiming Xiong , Na Li , Yu Bai

Accurately estimating human skill levels is crucial for designing effective human-AI interactions so that AI can provide appropriate challenges or guidance. In games where AI players have beaten top human professionals, strength estimation…

Machine Learning · Computer Science 2025-05-02 Kyota Kuboki , Tatsuyoshi Ogawa , Chu-Hsuan Hsueh , Shi-Jim Yen , Kokolo Ikeda

Scaling laws, a defining feature of deep learning, reveal a striking power-law improvement in model performance with increasing dataset and model size. Yet, their mathematical origins, especially the scaling exponent, have remained elusive.…

Machine Learning · Computer Science 2026-03-24 Yuda Bi , Vince D Calhoun

Data scaling has revolutionized research fields like natural language processing, computer vision, and robotics control, providing foundation models with remarkable multi-task and generalization capabilities. In this paper, we investigate…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Shaohuai Liu , Lin Dong , Chao Tian , Le Xie

The scaling law, a cornerstone of Large Language Model (LLM) development, predicts improvements in model performance with increasing computational resources. Yet, while empirically validated, its theoretical underpinnings remain poorly…

Machine Learning · Computer Science 2026-02-03 Chiwun Yang

AlphaZero is a self-play reinforcement learning algorithm that achieves superhuman play in chess, shogi, and Go via policy iteration. To be an effective policy improvement operator, AlphaZero's search requires accurate value estimates for…

Artificial Intelligence · Computer Science 2023-03-02 Alexandre Trudeau , Michael Bowling

Recently, there have been several high-profile achievements of agents learning to play games against humans and beat them. In this paper, we study the problem of training intelligent agents in service of game development. Unlike the agents…

Models and games are simplified representations of the world. There are many different kinds of models, all differing in complexity and which aspect of the world they allow us to further our understanding of. In this paper we focus on a…

Artificial Intelligence · Computer Science 2022-04-07 Joseph Christian G. Noel

Neural scaling laws predict how language model performance improves with increased training inputs. While aggregate metrics like validation loss can follow smooth power-law curves, individual downstream tasks exhibit diverse scaling…

Machine Learning · Computer Science 2026-05-11 Michael Y. Hu , Jane Pan , Ayush Rajesh Jhaveri , Nicholas Lourie , Kyunghyun Cho

Deep neural networks trained end-to-end to map a measurement of a (noisy) image to a clean image perform excellent for a variety of linear inverse problems. Current methods are only trained on a few hundreds or thousands of images as…

Image and Video Processing · Electrical Eng. & Systems 2023-02-24 Tobit Klug , Reinhard Heckel

Since AlphaGo and AlphaGo Zero have achieved breakground successes in the game of Go, the programs have been generalized to solve other tasks. Subsequently, AlphaZero was developed to play Go, Chess and Shogi. In the literature, the…

Machine Learning · Computer Science 2019-03-20 Hui Wang , Michael Emmerich , Mike Preuss , Aske Plaat

The AlphaZero algorithm has achieved superhuman performance in two-player, deterministic, zero-sum games where perfect information of the game state is available. This success has been demonstrated in Chess, Shogi, and Go where learning…

Artificial Intelligence · Computer Science 2019-12-10 Nick Petosa , Tucker Balch

The AlphaZero algorithm for the learning of strategy games via self-play, which has produced superhuman ability in the games of Go, chess, and shogi, uses a quantitative reward function for game outcomes, requiring the users of the…

Machine Learning · Computer Science 2019-12-17 Dan Schmidt , Nick Moran , Jonathan S. Rosenfeld , Jonathan Rosenthal , Jonathan Yedidia

Two-player games such as board games have long been used as traditional benchmarks for reinforcement learning. This work revisits a policy optimization method with reverse Kullback-Leibler regularization and entropy regularization and…

Machine Learning · Computer Science 2026-05-22 Kazuki Ota , Takayuki Osa , Motoki Omura , Tatsuya Harada
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