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Mohammed El Houcine Ayoubi 7 min read

Reinforcement Learning for Long-Horizon Tasks

Explores how reinforcement learning addresses the core limitations of standard LLM training for long-horizon tasks covering MDPs, policy gradients, RLHF, DPO, and hierarchical planning for multi-step decision-making.

The evolution of Large Language Models (LLMs) from conversational agents to autonomous decision-makers marks a substantial paradigm shift in artificial intelligence. While early LLM research concentrated on single-turn, static tasks, recent developments prioritize long-horizon tasks that require agents to plan and execute extended sequences of actions.

Long-horizon reasoning is essential for real-world applications such as autonomous robotics, strategic decision-making, multi-step problem-solving, and open-ended tasks in dynamic environments. Even minor early errors can irreversibly compromise outcomes at later stages, highlighting the need for agents with foresight, memory, and robust planning capabilities.

Despite rapid advancements in LLMs, long-horizon tasks remain challenging due to several fundamental issues:

  • Credit assignment: determining which earlier decisions were responsible for eventual outcomes when rewards are sparse or delayed.
  • Compounding errors: small deviations from a plan accumulate over time.
  • Large state and action spaces: the combinatorial complexity of possible trajectories grows exponentially with task length.
  • Efficient exploration: discovering successful strategies in large environments requires effective exploration mechanisms.

These challenges are particularly acute for LLMs, which primarily operate at the token level and maintain internal state through limited context windows rather than explicit world models. During extended interactions, models may deviate from planned actions, forget prior commitments, or lose awareness of the environment state. As a result, achieving stable multi-step execution remains difficult.

Empirical evidence suggests that the length of solvable tasks has approximately doubled every seven months, which further increases the relevance of LLMs for real-world applications.

LH

Reinforcement Learning for Training LLMs on Long Tasks

The standard LLM training pipeline consists of two main stages:

  1. Pretraining: next-token prediction on large text corpora.
  2. Supervised fine-tuning (SFT): training on curated instruction-response pairs.

This paradigm is highly effective for many language tasks; however, it fundamentally operates at the token-prediction level. During training, the model learns to predict the next token based on preceding tokens. While this process implicitly imparts linguistic structure and some reasoning patterns, the training objective is misaligned with tasks that require success across long sequences of coordinated decisions.

In next-token training, exploration occurs through sequential token sampling. This approach is effective for short-range language patterns but proves inadequate when task success depends on completing extended sequences of correct actions.

Reinforcement learning (RL) addresses this limitation by training models with goal-directed feedback instead of relying solely on next-token likelihood. In RL, the model learns a policy that maximizes the expected reward across the entire trajectory of actions.

For LLMs, RL is generally implemented after pretraining as a fine-tuning stage, optimizing the model for specific objectives.

A widely used approach is Reinforcement Learning from Human Feedback (RLHF). In RLHF:

  1. Humans rank multiple model outputs.
  2. A reward model is trained to predict these preferences.
  3. The LLM policy is optimized (often using Proximal Policy Optimization, PPO) to maximize the predicted reward.

RLHF has been instrumental in aligning models such as ChatGPT with human preferences. However, standard RLHF retains many limitations associated with token-level generation. Because outputs are generated token-by-token, supervision for long-horizon reasoning remains limited.

The Need for Advanced RL Environments

Traditional evaluation benchmarks are insufficient for developing long-horizon capabilities because real-world problems are interactive, whereas current benchmarks assess models on static datasets. To address these limitations, researchers have developed reinforcement learning environments for LLM agents [2]. These environments serve as sandboxes where models can learn through interaction.

Within these environments, an LLM agent can:

  • Take actions (e.g., writing code, calling tools, navigating virtual environments).
  • Receive observations describing the environment state.
  • Obtain rewards indicating progress toward a goal.
  • Improve its policy through iterative trial-and-error learning.

Recent surveys on long-context language models (LCLMs) [3] organize the field around three major pillars:

  1. Model development (data, architecture, and training workflows)
  2. Infrastructure (efficient training and inference)
  3. Evaluation (benchmarks for long-horizon capabilities)

Technical Foundations of Reinforcement Learning

Markov Decision Processes

Reinforcement learning problems are typically formalized as Markov Decision Processes (MDPs), defined by:

  • State space S
  • Action space A
  • Transition function P(s′|s,a)
  • Reward function r(s,a)

At each step t, the agent observes a state sₜ, selects an action aₜ, and receives a reward rₜ. The objective is to maximize the expected return:

Gₜ = Σ γᵏ rₜ₊ₖ

Where γ ∈ [0,1] is the discount factor.

Value Functions and Bellman Equations

The value of a state under policy π is defined as:

Vᵖ(s) = Eᵖ [ Σ γᵗ rₜ | s₀ = s ]

The Bellman expectation equation is:

Vᵖ(s) = Σ π(a|s) [ r(s,a) + γ Σ P(s′|s,a) Vᵖ(s′) ]

The action-value function is:

Qᵖ(s,a) = r(s,a) + γ Σ P(s′|s,a) Σ π(a′|s′) Qᵖ(s′,a′)

For the optimal policy:

V(s) = max_a [ r(s,a) + γ Σ P(s′|s,a) V*(s′) ]*

Policy Gradient Methods

Policy-based reinforcement learning directly optimizes a parameterized policy πθ(a|s).

The objective is:

J(θ) = E[ G₀ ]

The policy gradient theorem gives:

∇θ J(θ) = E_{s,a} [ Qᵖ(s,a) ∇θ log πθ(a|s) ]

To reduce variance, we introduce the advantage function:

A(s,a) = Q(s,a) − V(s)

Actor-critic methods estimate both the policy (actor) and value function (critic). Algorithms such as PPO optimize objectives of the form:

E[ A(sₜ,aₜ) log πθ(aₜ|sₜ) ]

DeepSeek introduced GRPO (Generalized Policy Optimization), which modifies the policy update to include a generalized advantage estimator that shapes the update beyond standard PPO clipping. This involves adjusting the loss function to incorporate additional constraints or guidance terms while preserving PPO’s stability mechanisms.

Direct Preference Optimization (DPO)

DPO is a reinforcement learning from human feedback (RLHF) method that trains models directly from preference data, without requiring a separate reward model. Instead of first learning a reward function and then optimizing a policy with RL, DPO reformulates the objective so that the policy can be optimized directly to prefer chosen responses over rejected ones.

Let y_w denote the preferred response (winner) and y_l the rejected response (loser) for a prompt x. DPO optimizes the policy by maximizing the log-sigmoid objective:

L_DPO(θ) = E_{(x, y_w, y_l)} [ log σ( β( log(πθ(y_w|x) / π_ref(y_w|x)) − log(πθ(y_l|x) / π_ref(y_l|x)) ) ) ]

Where σ(·) is the sigmoid function. This objective increases the probability of preferred responses relative to rejected ones while keeping the new policy close to the reference model.

By directly optimizing this preference-based objective, DPO avoids the instability and complexity of traditional RL methods such as policy gradients, making it a simpler and more stable approach to align large language models with human preferences.

Temporal Abstraction and Hierarchical RL

Long-horizon tasks benefit from temporal abstraction, where sequences of primitive actions are grouped into higher-level skills or options.

Each option consists of:

  • an initiation set
  • an internal policy
  • a termination condition

This leads to a semi-Markov decision process in which planning occurs across multiple timescales.

The value function over options can be written as:

V(s) = max_o [ r_s^o + Σ P_ss′^o V(s′) ]

Hierarchical RL allows agents to reuse skills and plan efficiently over long horizons.

RLHF and Verifiable Rewards

Two reward paradigms dominate reinforcement learning for LLMs.

RLHF:

  • Train a reward model from human preference data.
  • Optimize the model policy using RL.

Verifiable rewards:

In some domains (e.g., coding or mathematics), correctness can be automatically verified. This enables direct reinforcement learning with environment-generated rewards.

The RL objective remains:

J(θ) = E[ rₜ ]

Training LLMs for long-horizon tasks requires integrating reinforcement learning with interactive environments and hierarchical planning mechanisms. While methods such as RLHF and PPO have enabled substantial progress, significant challenges remain in exploration, credit assignment, and maintaining the coherence of multi-step reasoning. Furthermore, the context window of current transformer-based models imposes a structural limitation: as task horizons increase, relevant intermediate states, plans, and past decisions may fall outside the model’s attention span, leading to degraded reasoning consistency and the loss of long-term dependencies. This constraint complicates both the learning and execution of extended decision sequences, especially in environments that demand persistent memory and iterative planning. Addressing these obstacles is essential for developing the next generation of AI systems capable of autonomous long-term decision-making.


References

[1] https://metr.org/blog/2025-03-19-measuring-ai-ability-to-complete-long-tasks

[2] https://browse-export.arxiv.org/abs/2503.17407

[3] https://neurips.cc/virtual/2025/loc/san-diego/124652

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