agentsPublished: September 29, 2026

Skill-Space Shooting for Autonomous Robot Policy Improvement

By Zihang Rui, Renhao Wang, Haoxu Huang, Yang Gao

Research TL;DR

"Skill-space shooting uses foundation models to explore reusable skill corrections, turning successful trials into autonomous policy improvement without human demos."

Abstract

Robots deployed in the physical world must be able to improve beyond their initial training as they encounter new situations and failures. For this improvement to scale across tasks, it must make effective use of experience without requiring human demonstration of each correction. Recent agentic systems offer a way to reduce this reliance on human effort by using foundation models to autonomously compose learned behaviors to complete tasks. Yet completing tasks this way does not itself teach a task policy to overcome its own failures; that requires turning these behaviors into learnable corrections for the policy. Our insight is that many such corrections are familiar short behaviors, or skills: they recur across tasks and describe actions that foundation models can reason about from a scene. We introduce skill-space shooting, which uses foundation model guidance to explore corrections through these reusable skills and turn successful trials into policy improvement. Real-world experiments show repeated improvement in policies acting autonomously, while skills can also be shared to reduce the teaching needed to improve on new tasks. By making reusable skills a source of corrective supervision, skill-space shooting enables scalable and generalizable policy improvement within and across tasks. Additional results and videos at https://skill-space-shooting.github.io.

Technical Analysis & Implementation

Core Insight§

Robots must improve beyond initial training in the physical world. While foundation models can compose behaviors to complete tasks, they don't directly teach a policy to overcome its own failures. Skill-space shooting bridges this gap by treating corrective behaviors as reusable skills—short, recurring action sequences that foundation models can reason about from a scene. These skills become a source of corrective supervision, enabling scalable policy improvement within and across tasks.

Methodology§

Given a pretrained policy π and a set of skills S = {s₁, ..., sₖ} (e.g., "push left", "grasp handle"), the system alternates between:

  1. Skill selection: A foundation model selects a skill s ∈ S and a shooting horizon H based on the current scene and task.
  2. Trajectory generation: The robot executes the skill as a sequence of actions a_{t:t+H} = s(θ, x_t), where θ are skill parameters and x_t is the state.
  3. Policy improvement: If the trial succeeds (task reward r > threshold), the trajectory is added to the policy's replay buffer. The policy is updated via behavior cloning or RL:

$$\mathcal{L}(\pi) = \mathbb{E}_{(x_t, a_t) \sim \mathcal{D}_{\text{success}}} \left[ -\log \pi(a_t | x_t) \right] + \lambda \mathcal{L}_{\text{reg}}$$ where $\mathcal{L}_{\text{reg}}$ regularizes against forgetting.

Key details:

  • Skills are parameterized by a foundation model (e.g., LLM/VLM) that outputs low-level action primitives or waypoints.
  • Failure cases trigger exploration: the foundation model proposes alternative skills from S, effectively performing shooting in skill space.
  • Successful skill trajectories are stored and shared across tasks, reducing the need for new human demonstrations.
  • The policy improvement is iterative: after each update, the policy is re-evaluated, and the cycle repeats.

Implementation§

A PyTorch-style pseudocode for the improvement loop:

import torch
import torch.nn as nn
import numpy as np

class SkillSpaceShooting:
    def __init__(self, policy, skills, foundation_model, lr=1e-4):
        self.policy = policy  # e.g., a neural network
        self.skills = skills  # list of skill functions
        self.fm = foundation_model  # e.g., LLM/VLM
        self.optimizer = torch.optim.Adam(policy.parameters(), lr=lr)
        self.buffer = []

    def select_skill(self, state, task_desc):
        # Foundation model picks a skill and horizon
        prompt = f"Task: {task_desc}. State: {state}. Available skills: {self.skills}. Choose skill and horizon."
        skill_id, horizon = self.fm.generate(prompt)
        return self.skills[skill_id], horizon

    def execute_skill(self, skill, horizon, state):
        # Rollout skill for horizon steps
        traj = []
        for _ in range(horizon):
            action = skill(state)  # skill maps state to action
            traj.append((state, action))
            state = self.env.step(action)
        success = self.env.check_success()
        return traj, success

    def update_policy(self, batch_size=32):
        if len(self.buffer) < batch_size:
            return
        batch = np.random.choice(self.buffer, batch_size)
        states = torch.stack([torch.tensor(s) for s, a in batch])
        actions = torch.stack([torch.tensor(a) for s, a in batch])
        pred_actions = self.policy(states)
        loss = nn.MSELoss()(pred_actions, actions)
        self.optimizer.zero_grad()
        loss.backward()
        self.optimizer.step()

    def step(self, state, task_desc):
        skill, horizon = self.select_skill(state, task_desc)
        traj, success = self.execute_skill(skill, horizon, state)
        if success:
            self.buffer.extend(traj)
        self.update_policy()
        return success

Results and Implications§

Real-world experiments demonstrate repeated improvement of policies acting autonomously. Skills can be shared across tasks, reducing the teaching burden for new tasks. This approach enables scalable and generalizable policy improvement, leveraging foundation models as guides for corrective supervision without human demonstrations. The method is agnostic to the policy architecture and skill representation, making it broadly applicable to robotics and beyond.

Conclusion§

Skill-space shooting transforms reusable skills into a source of corrective supervision, enabling autonomous policy improvement. By combining foundation model reasoning with skill-based exploration, it paves the way for scalable, cross-task robot learning.

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API Pricing Comparison (per Million Tokens)

ModelInputOutput
GPT-6.1 Sol Pro$2.00$10.00
GPT-6.1 Sol$2.00$10.00
Claude Sonnet 5.5$2.00$10.00
Qwen3.8 Max Prime$4.00$12.00
GLM 5.3 Prime$2.80$8.80
Solar Mini 4$0.05$0.20
Claude Opus 5.5$4.00$20.00
GPT-6 Sol$2.00$10.00
GPT-6 Luna Pro$0.10$0.50
GPT-6 Sol Pro$2.00$10.00
GPT-6 Luna$0.10$0.50
Command A+$2.50$10.00
MiMo-V2.6-Pro-UltraSpeed$4.35$8.70
MiMo-V2.6-Pro$0.43$0.87
Qwen3.8 Omni Flash$0.15$0.47
MiMo-V2.6-Flash$0.14$0.28
Grok 4.7$2.00$6.00
GLM 5.3 FlashX$0.37$1.25
Fugu Max$2.00$6.00
Fugu Ultra v2$5.00$30.00
Ling 3.0 Flash VL$0.02$0.06
DeepSeek V4.1 Flash$0.02$0.40
Nex-N2.5-Pro$0.07$0.25
Nex-N2.5-Mini$0.03$0.10
Mercury 2.5$0.04$0.15
GPT-6 Astra$10.00$50.00
GPT-6 Astra Pro$10.00$50.00
Qwen3.8 Max (0902)$2.00$6.00
Muse Spark 1.3 Contributor$0.10$0.20
Muse Spark 1.3$1.25$4.25
Gemini 3.8 Flash$0.75$3.75
Claude Fable 5.1$10.00$50.00
Granite 4.2 8B$0.06$0.25
Mercury 2.5 Preview$0.04$0.15
Hy4 preview$0.75$2.25
Ling 3.0 Flash Fin$0.06$0.18
GLM Flash Latest$0.02$0.25
Qwen3.8 Flash$0.15$0.47
GLM 5.3 Flash$0.15$0.50
Muse Spark 1.2 Contributor$0.10$0.20
DeepSeek V4 Flash Vision Exp$0.22$0.65
Hy-MT2-1.8B$0.04$0.18
Hy-MT2-30B-A3B$0.07$0.29
GLM Latest$0.13$4.00
Hy-MT2-7B$0.07$0.29
GLM 5.3$1.40$4.40
Qwen3.8 27B$0.02$4.35
Gemini 3.7 Flash$0.75$3.75
Qwen3.8 2.4T A95B$2.00$6.00
Seed 2.1 Turbo$0.50$2.50
DeepSeek V4 Pro 0813$0.66$1.98
Grok 4.6$2.00$6.00
Seed-2.0-Code$0.50$3.00
Nemotron 3.5 Lightning$0.06$0.16
Sakana Namazu$0.95$4.00
Solar Pro 4$0.09$0.36
Muse Glimmer 30B$0.35$1.50
Muse Spark 1.2$1.25$4.25
Qwen3.8 Max$2.00$6.00
DeepSeek V4 Flash 0731$0.01$1.28
Inkling Small$0.45$1.20
Qwen3.7 Flash$0.03$0.13
Claude Opus 5$5.00$25.00
Claude Opus 5 (Fast)$10.00$50.00
Ling 3.0 Flash$0.02$0.06
Gemini 3.6 Flash$0.75$3.75
Laguna S 2.1$0.09$0.18
Gemini 3.5 Flash Lite$0.30$2.50
Inkling$1.00$4.05
Auto Router (Beta)$0.00$0.00
Kimi K3$3.00$15.00
Muse Spark 1.1$1.25$4.25
KAT-Coder-Pro V2.5$0.74$2.96
KAT-Coder-Air V2.5$0.15$0.60
GPT-5.6 Luna Pro$0.20$1.20
GPT-5.6 Terra$2.00$12.00
GPT-5.6 Luna$0.20$1.20
GPT-5.6 Sol Pro$4.00$20.00
GPT-5.6 Sol$2.00$10.00
GPT-5.6 Terra Pro$2.00$12.00
Grok 4.5$2.00$6.00
Hy3$0.08$0.33
Laguna XS 2.1$0.06$0.12
Nano Banana 2 Lite (Gemini 3.1 Flash Lite Image)$0.25$1.50
Claude Sonnet 5$2.00$10.00
Fugu Ultra$5.00$30.00
Nex-N2-Mini$0.03$0.10
Nano Banana 2 (Gemini 3.1 Flash Image)$0.50$3.00
Nano Banana Pro (Gemini 3 Pro Image)$2.00$12.00
GLM 5.2$0.43$3.99
Fusion$0.00$0.00
Kimi K2.7 Code$0.67$3.35
Claude Fable 5$10.00$50.00
Claude Fable Latest$10.00$50.00
Nex-N2-Pro$0.25$1.00
Nemotron 3.5 Content Safety$0.20$0.20
Nemotron 3 Ultra$0.60$2.40
Qwen3.7 Plus$0.32$1.28
MiniMax M3$0.30$1.20
Step 3.7 Flash$0.20$1.15
Claude Opus 4.8 (Fast)$10.00$50.00
Claude Opus 4.8$5.00$25.00
Llama 4 Maverick$0.19$0.65
Qwen3.7 Max$1.48$4.42
Grok Build 0.1$1.00$2.00
Gemini 3.5 Flash$1.50$9.00
Claude Opus 4.7 (Fast)$30.00$150.00
Gemini 3.1 Flash Lite$0.25$1.50
GPT Chat Latest$5.00$30.00
Grok 4.20$1.25$2.50
Granite 4.1 8B$0.05$0.10
Mistral Medium 3.5$1.50$7.50
Grok 4.3$1.25$2.50
Laguna M.1$0.20$0.40
Gemini Pro Latest$2.00$12.00
Claude Sonnet Latest$2.00$10.00
Claude Haiku Latest$1.00$5.00
Kimi Latest$0.29$11.00
Gemini Flash Latest$0.75$3.75
MoonshotAI Kimi Latest$0.29$11.00
Qwen3.5 Plus 2026-04-20$0.30$1.80
Google Gemini Pro Latest$2.00$12.00
Anthropic Claude Sonnet Latest$2.00$10.00
Anthropic Claude Haiku Latest$1.00$5.00
Qwen3.6 27B$0.32$3.20
Qwen3.6 Max Preview$1.03$6.16
Qwen3.6 Flash$0.19$1.13
Google Gemini Flash Latest$0.75$3.75
Qwen3.6 35B A3B$0.15$1.00
DeepSeek V4 Pro 0423$0.78$1.57
DeepSeek V4 Flash 0423$0.08$0.16
GPT-5.5 Pro$30.00$180.00
DeepSeek V4 Flash$0.08$0.16
GPT-5.5$5.00$30.00
DeepSeek V4 Pro$0.78$1.57
MiMo-V2.5-Pro$0.43$0.87
MiMo-V2.5$0.14$0.28
Hy3 preview$0.18$0.60
Pareto Code Router$0.00$0.00
Claude Opus Latest$4.00$20.00
GPT-5.4 Image 2$8.00$15.00
Kimi K2.6$0.65$3.41
Gemini 3.1 Flash$0.25$1.50
Gemini 3.1 Pro$2.00$12.00
Claude Opus 4.7$5.00$25.00
GLM 5.1$0.96$3.03
Gemma 4 26B A4B$0.09$0.30
Gemma 4 31B$0.09$0.34
Qwen3.6 Plus$0.33$1.95
GLM 5V Turbo$1.20$4.00
Grok 4.20 Multi-Agent$1.25$2.50
Grok 4.20$1.25$2.50
Lyria 3 Clip Preview$0.00$0.00
Lyria 3 Pro Preview$0.00$0.00
KAT-Coder-Pro V2$0.30$1.20
Reka Edge$0.10$0.10
MiniMax M2.7$0.21$0.84
GPT-5.4 Nano$0.20$1.25
GPT-5.4 Mini$0.75$4.50
Mistral Small 4$0.15$0.60
GLM 5 Turbo$1.20$4.00
Nemotron 3 Super$0.08$0.45
Qwen3.5-9B$0.10$0.15
Seed-2.0-Lite$0.25$2.00
GPT-5.4 Pro$30.00$180.00
GPT-5.4$2.50$15.00
Mercury 2$0.25$0.75
GPT-5.3 Chat$1.75$14.00
Gemini 3.1 Flash Lite Preview$0.25$1.50
Nano Banana 2 (Gemini 3.1 Flash Image Preview)$0.50$3.00
Seed-2.0-Mini$0.10$0.40
Qwen3.5-27B$0.20$1.56
Gemini 3.1 Pro Preview Custom Tools$2.00$12.00
Qwen3.5-35B-A3B$0.16$1.30
Qwen3.5-122B-A10B$0.26$2.08
Qwen3.5-Flash$0.07$0.26
GPT-5.3-Codex$1.75$14.00
Gemini 3.1 Pro Preview$2.00$12.00
Claude Sonnet 4.6$3.00$15.00
Qwen3.5 397B A17B$0.55$3.50
Qwen3.5 Plus 2026-02-15$0.26$1.56
MiniMax M2.5$0.27$1.08
GLM 5$0.60$1.92
Qwen3 Max Thinking$0.78$3.90
Qwen3 Coder Next$0.12$0.80
Claude Opus 4.6$5.00$25.00
Free Models Router$0.00$0.00
Step 3.5 Flash$0.10$0.30
Solar Pro 3$0.15$0.60
Kimi K2.5$0.45$2.25
MiniMax M2-her$0.30$1.20
Palmyra X5$0.60$6.00
GPT Audio$2.50$10.00
GLM 4.7 Flash$0.06$0.40
GPT Audio Mini$0.60$2.40
Doubao Pro$0.80$1.60
GPT-5.2-Codex$1.75$14.00
MiniMax M2.1$0.30$1.20
Seed 1.6 Flash$0.07$0.30
Seed 1.6$0.25$2.00
GLM 4.7$0.60$2.20
Gemini 3 Flash Preview$0.50$3.00
Nemotron 3 Nano 30B A3B$0.05$0.20
GPT-5.2 Pro$21.00$168.00
GPT-5.2 Chat$1.75$14.00
GPT-5.2$1.75$14.00
Devstral 2 2512$0.40$2.00
GLM 4.6V$0.30$0.90
Body Builder (beta)$0.00$0.00
GPT-5.1-Codex-Max$1.25$10.00
Nova 2 Lite$0.30$2.50
Ministral 3 8B 2512$0.15$0.15
Ministral 3 3B 2512$0.10$0.10
Ministral 3 14B 2512$0.20$0.20
Mistral Large 3 2512$0.50$1.50
DeepSeek V3.2$0.28$0.42
Claude Opus 4.5$5.00$25.00
Nano Banana Pro (Gemini 3 Pro Image Preview)$2.00$12.00
GPT-5.1-Codex$1.25$10.00
GPT-5.1-Codex-Mini$0.25$2.00
GPT-5.1$1.25$10.00
GPT-5.1 Chat$1.25$10.00
Qwen 2.5-Coder 32B$0.35$0.70
Kimi K2 Thinking$0.60$2.50
Hunyuan Pro$0.60$1.20
Nova Premier 1.0$2.50$12.50
Sonar Pro Search$3.00$15.00
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gpt-oss-safeguard-20b$0.07$0.30
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GPT-5 Image Mini$2.50$2.00
Claude Haiku 4.5$1.00$5.00
GPT-5 Image$10.00$10.00
Qwen3 VL 8B Instruct$0.12$0.46
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o3 Deep Research$10.00$40.00
o4 Mini Deep Research$2.00$8.00
Nano Banana (Gemini 2.5 Flash Image)$0.30$2.50
GPT-5 Pro$15.00$120.00
Qwen3 VL 30B A3B Thinking$0.20$2.40
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Yi-Lightning$0.15$0.30
GLM 4.6$0.43$1.75
DeepSeek V3.2 Exp$0.27$0.41
Claude Sonnet 4.5$3.00$15.00
Cydonia 24B V4.1$0.30$0.50
Gemini 2.5 Flash Lite Preview 09-2025$0.10$0.40
Qwen3 VL 235B A22B Thinking$0.40$4.00
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Qwen3 Coder Plus$0.65$3.25
GPT-5 Codex$1.25$10.00
Qwen3 VL 235B A22B Instruct$0.21$1.90
DeepSeek V3.1 Terminus$0.30$1.00
Qwen 2.5 72B$0.40$0.80
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Qwen Plus 0728 (thinking)$0.26$0.78
Kimi K2 0905$0.60$2.50
ERNIE 4.0$1.20$2.40
Qwen3 30B A3B Thinking 2507$0.20$2.40
Hermes 4 405B$1.00$3.00
Hermes 4 70B$0.13$0.40
DeepSeek V3.1$0.25$0.95
Mistral Medium 3.1$0.40$2.00
GLM 4.5V$0.60$1.80
Jamba Large 1.7$2.00$8.00
GPT-5 Chat$1.25$10.00
GPT-5 Nano$0.05$0.40
GPT-5$1.25$10.00
GPT-5 Mini$0.25$2.00
gpt-oss-20b$0.02$0.09
Claude Opus 4.1$15.00$75.00
gpt-oss-120b$0.04$0.17
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GLM 4.5 Air$0.13$0.85
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Gemini 2.5 Pro$1.25$10.00
o3 Pro$20.00$80.00
Gemini 2.5 Pro Preview 06-05$1.25$10.00
R1 0528$0.50$2.15
Claude Opus 4$15.00$75.00
Claude Sonnet 4$3.00$15.00
Gemma 3n 4B$0.06$0.12
Mistral Medium 3$0.40$2.00
Gemini 2.5 Pro Preview 05-06$1.25$10.00
Llama Guard 4 12B$0.18$0.18
Qwen3 235B A22B$0.46$1.82
Qwen3 14B$0.12$0.24
Qwen3 30B A3B$0.12$0.50
Qwen3 32B$0.08$0.28
Qwen3 8B$0.12$0.46
o4 Mini$1.10$4.40
o3$2.00$8.00
o4 Mini High$1.10$4.40
GPT-4.1 Nano$0.10$0.40
GPT-4.1 Mini$0.40$1.60
GPT-4.1$2.00$8.00
Llama 4 Maverick$0.19$0.65
Llama 4 Scout$0.10$0.30
DeepSeek V3 0324$0.29$1.14
o1-pro$150.00$600.00
Mistral Small 3.1 24B$0.35$0.56
Gemma 3 12B$0.05$0.15
Gemma 3 4B$0.05$0.10
Reka Flash 3$0.10$0.20
Gemma 3 27B$0.08$0.45
GPT-4o Search Preview$2.50$10.00
GPT-4o-mini Search Preview$0.15$0.60
Skyfall 36B V2$0.55$0.80
Sonar Reasoning Pro$2.00$8.00
Sonar Pro$3.00$15.00
Sonar Deep Research$2.00$8.00
Saba$0.20$0.60
Claude 3.5 Sonnet v2$3.00$15.00
o3 Mini High$1.10$4.40
Gemini 2.0 Flash$0.10$0.40
Qwen-Plus$0.26$0.78
Qwen2.5 VL 72B Instruct$0.80$1.00
o3 Mini$1.10$4.40
Mistral Small 3$0.09$0.25
Sonar$1.00$1.00
R1 Distill Llama 70B$0.80$0.80
R1$0.70$2.50
DeepSeek R1$0.70$2.50
MiniMax-01$0.20$1.10
Phi 4$0.07$0.14
DeepSeek V3$0.26$1.03
o1$15.00$60.00
Command R7B (12-2024)$0.04$0.15
Mixtral 8x22B$0.50$1.00
Llama 3.3 70B Instruct$0.10$0.32
Llama 3.3 70B Instruct$0.10$0.32
Nova Lite 1.0$0.06$0.24
Nova Pro 1.0$0.80$3.20
Nova Micro 1.0$0.04$0.14
GPT-4o (2024-11-20)$2.50$10.00
Mistral Large 2407$2.00$6.00
Qwen2.5 Coder 32B Instruct$0.66$1.00
UnslopNemo 12B$0.40$0.40
Ministral 8B$0.11$0.11
Qwen2.5 7B Instruct$0.10$0.20
Inflection 3 Pi$2.50$10.00
Inflection 3 Productivity$2.50$10.00
Llama 3.2 3B Instruct$0.05$0.33
Llama 3.2 1B Instruct$0.03$0.20
Llama 3.2 11B Vision Instruct$0.34$0.34
Llama 3.2 11B Vision$0.34$0.34
Qwen2.5 72B Instruct$0.36$0.40
Command R (08-2024)$0.15$0.60
Hermes 3 70B Instruct$0.70$0.70
Hermes 3 405B Instruct$1.00$1.00
GPT-4o (2024-08-06)$2.50$10.00
Mistral Large 3$0.50$1.50
Llama 3.1 8B Instruct$0.05$0.08
Llama 3.1 70B Instruct$0.40$0.40
Llama 3.1 8B$0.04$0.04
Llama 3.1 405B$0.80$0.80
Mistral Nemo$0.02$0.03
GPT-4o-mini (2024-07-18)$0.15$0.60
GPT-4o-mini$0.15$0.60
Gemma 2 27B$0.65$0.65
GPT-4o (2024-05-13)$5.00$15.00
GPT-4o$2.50$10.00
Llama 3 8B Instruct$0.14$0.14
Mixtral 8x22B Instruct$2.00$6.00
WizardLM-2 8x22B$0.62$0.62
GPT-4 Turbo$10.00$30.00
Command R+$2.50$10.00
Claude 3 Haiku$0.25$1.25
Command R$0.15$0.60
Mistral Large$2.00$6.00
GPT-4 Turbo Preview$10.00$30.00
GPT-3.5 Turbo (older v0613)$1.00$2.00
Auto Router$0.00$0.00
GPT-3.5 Turbo Instruct$1.50$2.00
GPT-3.5 Turbo 16k$3.00$4.00
GPT-3.5 Turbo$0.50$1.50
GPT-4$30.00$60.00
Originally published on llmdb.app

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