Papers › Adaptive Rational Activations to Boost Deep Reinforcement Learning
Adaptive Rational Activations to Boost Deep Reinforcement Learning
Quentin Delfosse, Patrick Schramowski, Martin Mundt, Alejandro Molina, Kristian Kersting
Latest insights from biology show that intelligence not only emerges from the connections between neurons but that individual neurons shoulder more computational responsibility than previously anticipated. This perspective should be critical in the context of constantly changing distinct reinforcement learning environments, yet current approaches still primarily employ static activation functions. In this work, we motivate why rationals are suitable for adaptable activation functions and why their inclusion into neural networks is crucial. Inspired by recurrence in residual networks, we derive a condition under which rational units are closed under residual connections and formulate a naturally regularised version: the recurrent-rational. We demonstrate that equipping popular algorithms with (recurrent-)rational activations leads to consistent improvements on Atari games, especially turning simple DQN into a solid approach, competitive to DDQN and Rainbow.
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Code
Syntology Ran 6 of 6 code samples harvested from 1 repository linked to this paper; 0 have no recorded run. Of those that ran: 6 ran · fixture could not drive it.
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Code Syntology ran Syntology
6 samples harvested; 6 ran; 0 honoured the contract we drafted; 0 have no recorded run. Read from Syntology's graph 2026-09-24; that is when this build read the record, not when the samples ran.
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Tasks
Results from the paper archive 2025-07-28
| Task | Dataset | Model | Metric | Value | Rank at snapshot | Leaderboard | Report |
|---|---|---|---|---|---|---|---|
| Atari Games | Atari 2600 Asterix | Rational DQN Average | Score | 18109 | #30 of 49 | Archive leaderboard | report |
| Atari Games | Atari 2600 Asterix | Recurrent Rational DQN Average | Score | 12621 | #37 of 49 | Archive leaderboard | report |
| Atari Games | Atari 2600 Battle Zone | Recurrent Rational DQN Average | Score | 25749 | #30 of 47 | Archive leaderboard | report |
| Atari Games | Atari 2600 Battle Zone | Rational DQN Average | Score | 23403 | #35 of 47 | Archive leaderboard | report |
| Atari Games | Atari 2600 Breakout | Recurrent Rational DQN Average | Score | 336 | #40 of 58 | Archive leaderboard | report |
| Atari Games | Atari 2600 Breakout | Rational DQN Average | Score | 316 | #41 of 58 | Archive leaderboard | report |
| Atari Games | Atari 2600 Enduro | Rational DQN Average | Score | 1043 | #30 of 48 | Archive leaderboard | report |
| Atari Games | Atari 2600 Enduro | Recurrent Rational DQN Average | Score | 957 | #31 of 48 | Archive leaderboard | report |
| Atari Games | Atari 2600 James Bond | Recurrent Rational DQN Average | Score | 1137 | #22 of 45 | Archive leaderboard | report |
| Atari Games | Atari 2600 James Bond | Rational DQN Average | Score | 1122 | #23 of 45 | Archive leaderboard | report |
| Atari Games | Atari 2600 Kangaroo | Recurrent Rational DQN Average | Score | 5266 | #28 of 47 | Archive leaderboard | report |
| Atari Games | Atari 2600 Kangaroo | Rational DQN Average | Score | 2941 | #31 of 47 | Archive leaderboard | report |
| Atari Games | Atari 2600 Pong | Recurrent Rational DQN Average | Score | 18.13 | #40 of 52 | Archive leaderboard | report |
| Atari Games | Atari 2600 Pong | Rational DQN Average | Score | 18.04 | #41 of 52 | Archive leaderboard | report |
| Atari Games | Atari 2600 Q*Bert | Rational DQN Average | Score | 14436 | #30 of 57 | Archive leaderboard | report |
| Atari Games | Atari 2600 Q*Bert | Recurrent Rational DQN Average | Score | 14080 | #34 of 57 | Archive leaderboard | report |
| Atari Games | Atari 2600 Seaquest | Recurrent Rational DQN Average | Score | 7460 | #27 of 57 | Archive leaderboard | report |
| Atari Games | Atari 2600 Seaquest | Rational DQN Average | Score | 6603 | #29 of 57 | Archive leaderboard | report |
| Atari Games | Atari 2600 Skiing | Recurrent Rational DQN Average | Score | -23582 | #16 of 23 | Archive leaderboard | report |
| Atari Games | Atari 2600 Skiing | Rational DQN Average | Score | -23487 | #17 of 23 | Archive leaderboard | report |
| Atari Games | Atari 2600 Space Invaders | Recurrent Rational DQN Average | Score | 1395 | #40 of 55 | Archive leaderboard | report |
| Atari Games | Atari 2600 Space Invaders | Rational DQN Average | Score | 650 | #51 of 55 | Archive leaderboard | report |
| Atari Games | Atari 2600 Tennis | Recurrent Rational DQN Average | Score | 20.6 | #10 of 43 | Archive leaderboard | report |
| Atari Games | Atari 2600 Tennis | Rational DQN Average | Score | 20.5 | #11 of 43 | Archive leaderboard | report |
| Atari Games | Atari 2600 Time Pilot | Rational DQN Average | Score | 17632 | #13 of 44 | Archive leaderboard | report |
| Atari Games | Atari 2600 Time Pilot | Recurrent Rational DQN Average | Score | 13261 | #15 of 44 | Archive leaderboard | report |
| Atari Games | Atari 2600 Tutankham | Recurrent Rational DQN Average | Score | 184 | #27 of 44 | Archive leaderboard | report |
| Atari Games | Atari 2600 Tutankham | Rational DQN Average | Score | 179 | #29 of 44 | Archive leaderboard | report |
| Atari Games | Atari 2600 Video Pinball | Rational DQN Average | Score | 149712 | #30 of 42 | Archive leaderboard | report |
| Atari Games | Atari 2600 Video Pinball | Recurrent Rational DQN Average | Score | 86942 | #34 of 42 | Archive leaderboard | report |
Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.
Methods
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