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REVIEW 5 major objections 5 minor 16 cited by

Learning Humanoid Locomotion with Perceptive Internal Model

T0 review · 5 major / 5 minor · reviewed 2026-08-12 · deepseek-v4-flash

Pith's one-line read A perception-augmented state predictor lets humanoid robots climb 15 cm stairs with over 90% success on two platforms.

desk verdict Perceptive extension of HIM that plausibly climbs 15 cm stairs on two humanoids, but the headline 90% success and online-map accuracy are unmeasured. read the letter →

arxiv 2411.14386 v1 pith:X3HCLL4R submitted 2024-11-21 cs.RO

classification cs.RO
keywords humanoidlocomotionperceptivecontrolelevationmapsim-to-realtransferhybridinternalmodelstairclimbingreinforcementlearningzero-shotdeployment
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper argues that a humanoid locomotion policy can be made reliable on uneven ground by feeding the controller a continuously updated elevation map of the terrain around the robot, not as a vision input but as part of the robot's internal state predictor. The proposed Perceptive Internal Model (PIM) takes ground-truth obstacle heights during training and sampled heights from a LiDAR or RGB-D elevation map at deployment, extending the Hybrid Internal Model's next-state estimation. The authors report zero-shot sim-to-real transfer to two different humanoids, with over 90% success climbing 15 cm stairs and successful traversal of gaps, slopes, and high platforms. If true, this would be the first demonstration of a single perceptive humanoid locomotion policy that transfers across robot platforms, and it would show that perceptive information can improve state estimation without extra training stages or simulated depth rendering.

What carries the argument

The key mechanism is the Perceptive Internal Model (PIM): a state predictor that ingests both the recent proprioceptive history and the current perceptive observation, a 96-point sampling of heights in a 0.8 m by 1.2 m grid around the robot's base link aligned to gravity. It produces a velocity estimate trained by regression to simulator ground truth and a latent next-proprioception variable trained by contrastive learning, and both feed the policy along with the current observation. During training the policy sees exact terrain heights; during deployment those heights come from a continuously updated elevation map built from point clouds and odometry, so the robot effectively perceives the terrain beneath its feet while remaining less affected by camera motion and noise than raw depth inputs.

What would settle it

Feed the policy an elevation map whose heights are corrupted by a known bias or latency, for example all step heights reduced by 5 cm or delayed by 200 ms, and measure the stair-climbing success rate; if the rate collapses or the robot stops lifting its feet, it would show that the reported performance depends on near-exact map heights rather than on the learned state predictor's robustness.

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Extended reading notes

Core claim

The central claim is that augmenting the learned state predictor with current terrain elevation leads to more accurate next-state estimates and therefore to locomotion policies that can handle fine-grained foothold tasks such as continuous 15 cm stair climbing. PIM builds on HIM, which estimates the robot's next linear velocity by regression and its next proprioceptive state by contrastive learning; PIM concatenates the current sampled elevation map with the proprioceptive history so that the predictor can use the ground under the feet. In simulation the policy is trained on exact obstacle heights, and at inference the same observation is filled from an onboard elevation map built from LiDAR or RGB-D data in a gravity-aligned map frame. The authors report that this single-stage training completes in about three hours on one RTX 4090 and deploys without fine-tuning on Unitree H1 and Fourier GR-1, including continuous stair climbing with success rate above 90% and jumps onto platforms and over gaps.

Load-bearing premise

The load-bearing premise is that the online elevation map reconstructed from LiDAR or RGB-D data and odometry reproduces the ground-truth obstacle heights used in simulation closely enough for zero-shot transfer, since the paper reports no quantitative error, latency, or drift analysis for the map.

Editorial extensions

If this is right

  • Continuous 15 cm stair climbing at over 90% success becomes feasible, a capability the paper reports earlier methods cap at 10 cm.
  • The same training pipeline transfers zero-shot to two physically different humanoids, suggesting the method is not tied to one robot's mass, height, joint configuration, or foot design.
  • Because no depth-image rendering is needed in simulation, policy training runs in about three hours on a single RTX 4090 without a second training stage.
  • Using the elevation map inside the state predictor, rather than only as a visual input, lowers next-state estimation loss and lets the policy handle harder terrain than the same policy with a non-perceptive internal model.
  • The policy produces coordinated whole-body movements, including arm swings during jumps, without imitation data or prior motion trajectories.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the mechanism is as general as the cross-platform result suggests, the same elevation-map-augmented state predictor could be applied to other bipedal or quadrupedal platforms, but that transfer is an extrapolation beyond the paper's two robots.
  • The reported sensitivity to foot-length versus stair-width suggests that foothold precision, not raw perception range, is the limiting factor; a testable corollary is that adding a foothold-planning head would push success further on taller stairs.
  • The lack of reported map-error analysis means the practical ceiling of the method may be set by the elevation-map pipeline rather than by the learned policy; injecting calibrated map noise in simulation would quantify that ceiling.
  • A natural extension is to let the policy also learn from uncertain or partial elevation maps during training, which would make the sim-to-real gap explicit instead of relying on the map being exact.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

5 major / 5 minor

Summary. The paper proposes the Perceptive Internal Model (PIM), a modification of the Hybrid Internal Model (HIM) in which the current elevation-map observation is concatenated with proprioceptive history for next-state estimation and is also fed to the policy. Policies are trained in simulation with ground-truth obstacle heights and deployed zero-shot on Unitree H1 and Fourier GR-1 using elevation maps built from a Mid-360 LiDAR or a RealSense T265+D435 setup. The paper claims continuous stair climbing with 15 cm steps at "over 90%" success, traversal of high platforms, gaps, and slopes, cross-platform generalization, and a training time of 3 hours on an RTX 4090 without depth-image rendering.

Significance. If the empirical claims were fully supported, the paper would be a useful step toward perceptive humanoid locomotion: it combines a proprioceptive internal model with a robot-centered elevation map, avoids depth-image rendering in training, and reports deployment on two different humanoid platforms. The design is simple and the reported training efficiency is attractive. However, the current manuscript is primarily a qualitative demonstration: the headline success rate lacks trial counts and definitions, the perception pipeline is not validated against ground truth, and the PIM-versus-HIM comparison is presented without numerical results. The paper's contribution would be strengthened considerably by quantitative hardware evaluation, map-error analysis, and seeded simulation comparisons; these are within the scope of the paper and, in my view, necessary before the central claims can be accepted.

major comments (5)
  1. [Abstract and Section IV-B] The central quantitative claim, "a success rate of over 90%" for continuous stair climbing, is not supported by any reported trial count, failure definition, stopping criterion, per-run statistics, or sensor configuration. Because the paper uses this number as its headline result and compares against prior 10 cm stair results, the claim is not verifiable as written. Please add a hardware evaluation table with the number of attempts, success criteria, and confidence intervals for each robot and sensor setup.
  2. [Section III-D and Section IV-B] The training-to-inference perception gap is load-bearing but unmeasured. Policies are trained on exact ground-truth obstacle heights (Sections III-B and III-D), while inference uses heights sampled from an online elevation map reconstructed from LiDAR or RGB-D plus odometry. The manuscript describes gravity alignment and ground-point filtering but gives no error, latency, drift, or noise analysis and no comparison between reconstructed map heights and ground-truth terrain. Given the stated constraint that the stair width equals the foot length, small height or placement errors can plausibly cause failure. Please provide quantitative map-error evaluation (for example, height RMSE against ground truth under typical robot motion) and, if possible, a simulation study that perturbs the sampled heights to demonstrate policy robustness to the expected perception noise.
  3. [Section IV-A and Fig. 5] The PIM-versus-HIM comparison is only qualitative. Fig. 5 reports "estimation loss" and "terrain level" without axis labels, units, seeds, or numerical values, so the statement that PIM "achieves higher training efficiency and higher estimation accuracy" is not established. Please report quantitative velocity-estimation error, terrain-level progression over training, and final task success rates over multiple seeds, with error bars or confidence intervals.
  4. [Section IV-D] The cross-platform claim for the Fourier GR-1 is supported only by narrative descriptions and images. No task success rates, number of attempts, failure counts, or sensor specifications are given for GR-1 on stairs or other terrains. Please add per-platform quantitative results, including the sensor configuration used in each deployment, so that the claimed generality across robot platforms can be assessed.
  5. [Section IV-B] The claim of surpassing prior methods that achieve only 10 cm stairs is not supported by a direct comparison under matched conditions. Different robot hardware, training protocols, and evaluation procedures confound the comparison. Please either run baseline policies on the same robot and terrain, or soften the claim to a statement about demonstrated capability rather than comparative superiority.
minor comments (5)
  1. [Equation (1), Section III-F] The displayed equation for the symmetry loss has unbalanced parentheses and an unclear argument structure; please rewrite it with explicit closing parentheses and define each symmetry operator's output space.
  2. [Table I] Several reward entries are malformed or undefined, in particular the "Joint power" equation, the "Feet slip" term containing "~1new contact", and the "Joint tracking error" term with an ambiguous subscript. Please provide corrected equations and define all indicator functions and constants.
  3. [Section III-D and Fig. 3] The sampling procedure for the 96 elevation points is underspecified: no grid resolution, coordinate convention, or ordering is given. Please clarify how the 0.8 m x 1.2 m region is discretized and how the sampled points are aligned with the gravity-aligned map frame. Also, "Terrian" in the Fig. 3 caption is a typo.
  4. [Fig. 5] The axes of Fig. 5 are not labeled and the units are unclear; please label both axes and define "estimation loss" and "terrain level" in the caption or text.
  5. [General] The manuscript contains several grammatical errors and unconventional spellings (for example, "we concluded as PIM", "Realsense" instead of "RealSense", and "V ar" without a subscript). A careful proofreading pass would improve readability.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: PIM extends the independently published HIM with elevation-map observations, and the central sim-to-real stair-climbing result is an empirical experiment, not a consequence of a fit or a self-citation chain.

full rationale

The paper's derivation chain is self-contained with respect to the circularity patterns under review. PIM is explicitly built on HIM, a prior ICLR publication by overlapping authors, but HIM is used as a component and not as evidence for the stair-climbing claim. The abstract states: 'We train the policy using ground-truth obstacle heights surrounding the robot in simulation, optimizing it based on the Hybrid Internal Model (HIM), and perform inference with heights sampled from the constructed elevation map.' This is a train/inference distribution shift, not a definitional equivalence: the policy is trained on exact heights and evaluated on reconstructed map heights, so the real-world result is not forced by construction. No equation in the paper reduces the claimed 90% stair-climbing success to a fitted parameter or to the definition of PIM. The comparison in Section IV-A ('PIM vs HIM') is an empirical measurement, not a mathematical identity. The self-citations to HIM are load-bearing as engineering foundation but are independently published and externally falsifiable; they do not forbid alternatives or smuggle in an unverified uniqueness claim. The main weakness is that Section IV-B asserts 'a success rate of over 90%' for continuous stair climbing without reporting trial counts, failures, or stopping criteria, and the perceptual assumption that online elevation maps match training heights is not validated with error statistics. However, missing empirical support is a correctness-risk concern, not circularity, because the claim is an experimental outcome rather than a derivation from its own inputs. Accordingly, the appropriate circularity score is 0.

Assumptions & free parameters 5 free parameters · 4 assumptions · 0 invented entities

The central claims rest on hand-tuned reward weights and sampling configurations, on the assumption that the online elevation map matches simulated ground-truth heights, and on the assumption that simulator dynamics transfer to real humanoid hardware. HIM itself is a self-cited prior building block, but it is not used to prove the stair-climbing result.

free parameters (5)
  • Reward weights in Table I = 23 weights listed in Table I
    Hand-tuned during training; the natural gait and stability that the paper highlights depend on these weights, and they are neither optimized nor ablated.
  • Elevation sampling configuration = 96 points over a 0.8 m by 1.2 m grid
    Chosen by hand in Section III-D; it determines the perceptive input resolution and the foothold information available to the policy.
  • Action curriculum schedule = not specified precisely
    Section III-E states that arm and waist joint ranges start at zero and increase during training, but the schedule is not quantified.
  • PPO and network hyperparameters = not reported
    Learning rate, batch size, history length H, encoder sizes, and PPO clip parameters are absent, which matters for reproducing the claimed 3-hour training.
  • Terrain curriculum progression = only shown qualitatively in Fig. 5
    Terrain difficulty is increased during training, but the exact curriculum and difficulty levels are not specified.
assumptions (4)
  • domain assumption The real-world elevation map, built from LiDAR or RGB-D plus odometry, is sufficiently close to the ground-truth terrain heights used in simulation.
    Sections I and III-D state that inference uses heights sampled from the constructed elevation map while training uses ground-truth obstacle heights; zero-shot transfer depends on this match.
  • domain assumption Simulator dynamics and contact models are accurate enough that a policy trained with PPO transfers to real H1 and GR-1 hardware without fine-tuning.
    The paper claims zero-shot deployment in Fig. 1 and Section V, but no domain randomization settings are given to justify this transfer.
  • domain assumption HIM's contrastive state estimator, originally developed for quadrupeds, remains a valid state estimator when applied to humanoids with perceptive inputs.
    Section III-D builds PIM directly on HIM from reference [3]; no proof or analysis is provided for the humanoid case beyond the reported experiments.
  • standard math Standard PPO and contrastive learning objectives are taken as correct optimization methods.
    The policy is optimized with PPO [28] and the internal model with a SwAV-style contrastive loss [29]; these are standard tools used without modification.

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Cite this review

Pith. "Pith review of Learning Humanoid Locomotion with Perceptive Internal Model." pith.science (2026). https://pith.science/paper/X3HCLL4R

@misc{pith2026241114386,
  author       = {Pith},
  title        = {Pith review of: Learning Humanoid Locomotion with Perceptive Internal Model},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/X3HCLL4R}},
  note         = {Machine review of arXiv:2411.14386}
}
read the original abstract

In contrast to quadruped robots that can navigate diverse terrains using a "blind" policy, humanoid robots require accurate perception for stable locomotion due to their high degrees of freedom and inherently unstable morphology. However, incorporating perceptual signals often introduces additional disturbances to the system, potentially reducing its robustness, generalizability, and efficiency. This paper presents the Perceptive Internal Model (PIM), which relies on onboard, continuously updated elevation maps centered around the robot to perceive its surroundings. We train the policy using ground-truth obstacle heights surrounding the robot in simulation, optimizing it based on the Hybrid Internal Model (HIM), and perform inference with heights sampled from the constructed elevation map. Unlike previous methods that directly encode depth maps or raw point clouds, our approach allows the robot to perceive the terrain beneath its feet clearly and is less affected by camera movement or noise. Furthermore, since depth map rendering is not required in simulation, our method introduces minimal additional computational costs and can train the policy in 3 hours on an RTX 4090 GPU. We verify the effectiveness of our method across various humanoid robots, various indoor and outdoor terrains, stairs, and various sensor configurations. Our method can enable a humanoid robot to continuously climb stairs and has the potential to serve as a foundational algorithm for the development of future humanoid control methods.

Figures

Figures reproduced from arXiv: 2411.14386 by the authors.

Figure 1
Figure 1. We propose a perceptive humanoid locomotion policy capable of mastering various challenging terrains. This policy [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Overview of our framework. Within PIM, we integrate perceptive information into the state predictor to achieve more [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Terrian Perception module implemented by a single [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figures from the paper (3 more)
Figure 4
Figure 4. Figure 4: Robot Hardware Setups in terms of Height, Weight, [PITH_FULL_IMAGE:figures/full_fig_p005_4.png]
Figure 5
Figure 5. Figure 5: Estimation Loss and Terrain Level During Training [PITH_FULL_IMAGE:figures/full_fig_p005_5.png]
Figure 6
Figure 6. Figure 6: We conducted extensive hardware experiments to validate the effectiveness of the proposed method across different [PITH_FULL_IMAGE:figures/full_fig_p006_6.png]

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Pith tools

Reviewed August 12, 2026 · model on record in the stance chip above.