2511.0033 Organization of Self-Controlled Agents for General Matrix Multiplication Optimization v1

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📋 Summary

This paper introduces TrAgent, a novel tree-based orchestration system designed to manage self-controlled agents while preserving their autonomy. The core idea revolves around using a PUCT-style search to dynamically allocate actions to these agents, facilitating both exploration and exploitation in the search space. Unlike traditional multi-agent systems that often rely on centralized control, TrAgent allows individual agents to maintain autonomy over critical tasks like planning and tool use, while still enabling coordinated exploration through the shared tree structure. The system incorporates a mechanism for inter-agent experience sharing, where the outcomes of actions taken by one agent can inform the search decisions of others. This is achieved by updating the tree structure based on the performance of actions, allowing the system to learn which actions are more promising. The authors demonstrate the effectiveness of TrAgent on the task of general matrix multiplication (GEMM) kernel optimization, a challenging problem that requires careful tuning of parameters to achieve optimal performance. The results show that TrAgent achieves approximately 80% of the performance of the highly optimized cuBLAS library, a significant achievement for an automated system. Furthermore, the paper claims that the system exhibits a scaling phenomenon, where performance improves as the number of agents increases, suggesting that the approach can benefit from increased computational resources. The paper's main contribution lies in its novel approach to coordinating self-controlled agents using a tree-based search, which allows for both autonomy and collaboration. The use of PUCT-style search for dynamically allocating agent actions and sharing inter-agent experience is an innovative approach that balances exploration and exploitation effectively. The empirical evaluation on GEMM kernel optimization provides strong evidence for the effectiveness of the proposed system, achieving state-of-the-art performance. However, the paper also acknowledges limitations, particularly in the scope of evaluation and the lack of detailed analysis of computational overhead. Overall, the paper presents a promising approach to multi-agent coordination, with potential applications in various optimization and code generation tasks. The core idea of using a tree-based search to manage self-controlled agents is novel and interesting, and the experimental results demonstrate the potential of the proposed approach. However, further research is needed to address the limitations identified in the paper, particularly the need for more extensive evaluation and a more detailed analysis of computational overhead.

✅ Strengths

The primary strength of this paper lies in its innovative approach to organizing self-controlled agents using a tree-based orchestration system, TrAgent. The core idea of employing a PUCT-style search to dynamically allocate agent actions while preserving their autonomy is both novel and compelling. This approach effectively addresses the limitations of existing multi-agent systems, which often struggle with balancing centralized control and agent autonomy. By allowing agents to maintain control over critical tasks like planning and tool use, while still enabling coordinated exploration through the shared tree structure, TrAgent offers a unique and powerful framework for multi-agent collaboration. The mechanism for inter-agent experience sharing, where the outcomes of actions taken by one agent inform the search decisions of others, is another significant strength. This allows the system to learn which actions are more promising, leading to more efficient exploration of the search space. The paper's empirical evaluation on the GEMM kernel optimization task provides strong evidence for the effectiveness of the proposed system. Achieving approximately 80% of the performance of the highly optimized cuBLAS library is a notable accomplishment, demonstrating the potential of TrAgent for tackling complex optimization problems. The claim that the system exhibits a scaling phenomenon, where performance improves as the number of agents increases, further highlights the potential of this approach. The paper is also well-written and easy to follow, making the core concepts and contributions accessible to a broad audience. The authors clearly articulate the motivation for their work, the details of their method, and the results of their experiments. The use of a PUCT-style search for coordinating agents is an innovative approach that balances exploration and exploitation effectively. The empirical evaluation on GEMM kernel optimization provides strong evidence for the effectiveness of the proposed system, achieving state-of-the-art performance. The paper's strengths are further amplified by its potential for broader applications. The core idea of using a tree-based search to manage self-controlled agents could be extended to various other domains, including other code generation tasks, optimization problems, and even robotics. The paper's novel approach, strong empirical results, and potential for broader impact make it a significant contribution to the field of multi-agent systems.

❌ Weaknesses

Despite its strengths, the paper suffers from several notable weaknesses that limit the scope of its conclusions and impact. A primary concern, consistently highlighted by all four reviewers, is the limited scope of the experimental evaluation. The paper focuses exclusively on the GEMM kernel optimization task, which, while a relevant benchmark, is insufficient to demonstrate the general applicability of the proposed TrAgent system. As the paper states in the 'EXPERIMENTS' section, the entire evaluation is dedicated to this single task, with no mention of other code generation tasks or optimization problems. This narrow focus makes it difficult to assess the system's performance on tasks with different structural properties, such as those involving recursive algorithms, dynamic programming, or symbolic computation. The lack of diversity in benchmark tasks raises concerns about the generalizability of the results and the potential for the system to be over-tuned for the specific characteristics of the GEMM problem. The paper's claim of achieving 80% of the performance of cuBLAS is impressive, but its significance is diminished by the lack of evidence that the system can perform well on other tasks. This limitation is further compounded by the lack of a detailed analysis of the system's scalability in terms of computational resources and training time. While the paper mentions a 'scaling phenomenon' in the 'Results' section, it fails to provide quantitative data on how the system's performance and resource usage scale with the number of agents and the complexity of the task. The 'Implementation' subsection of the 'EXPERIMENTS' section mentions the hardware used but lacks details on training time or resource usage. The paper does not provide a breakdown of the time spent on different stages of the PUCT search, such as node selection, expansion, and backpropagation, nor does it analyze the memory footprint of the tree structure. This lack of analysis makes it difficult to assess the practical limitations of the system and its suitability for resource-constrained environments or real-time applications. The absence of a detailed analysis of the computational overhead introduced by the tree-based orchestration is a significant oversight. The paper does not discuss the time complexity of the PUCT search or the memory footprint of the tree structure, which are crucial factors for understanding the system's efficiency. The 'METHOD: TREE-BASED ORCHESTRATION WITH PUCT' section describes the algorithm but does not include a formal analysis of its time and space complexity within the context of TrAgent. This omission makes it difficult to assess the practical implications of using a tree-based search for coordinating self-controlled agents. Furthermore, the paper's comparison with baseline approaches is somewhat limited. The 'Baselines' subsection of the 'EXPERIMENTS' section lists only a single self-controlled agent under two different MCP variants and a random search baseline. The paper does not compare against other multi-agent systems or optimization techniques, such as AutoTVM or other LLM-based optimization approaches, which are mentioned in the 'RELATED WORK' section. This limited comparison makes it difficult to assess the relative performance of TrAgent compared to existing state-of-the-art methods. The lack of a more thorough evaluation against a wider range of methods weakens the paper's claims of achieving state-of-the-art performance. The paper also lacks a discussion of the impact of different agent architectures or communication protocols on the overall performance of the system. The current evaluation seems to assume a homogeneous agent population, which might not be realistic in practical scenarios. The paper does not explore how the system behaves with heterogeneous agents having varying capabilities or expertise, nor does it investigate different communication protocols, such as centralized or decentralized approaches. This lack of exploration limits the understanding of the system's robustness and its potential for adaptation to different types of optimization tasks. In summary, the paper's weaknesses stem from the limited scope of the experimental evaluation, the lack of detailed analysis of computational overhead and scalability, the limited comparison with baseline approaches, and the lack of exploration of different agent architectures and communication protocols. These limitations significantly impact the generalizability of the results and the practical applicability of the proposed system. The confidence level for these weaknesses is high, as they are directly supported by the paper's content and the lack of specific data or analysis.

💡 Suggestions

To address the identified weaknesses, several concrete improvements can be made to the paper and the TrAgent system. First and foremost, the paper would significantly benefit from a more extensive evaluation across diverse tasks. The current focus on GEMM kernel optimization is insufficient to demonstrate the general applicability of the proposed approach. The authors should include tasks that differ significantly in structure and complexity, such as those involving symbolic computation, graph algorithms, or tasks with inherent recursion. This would provide a more comprehensive understanding of the system's strengths and weaknesses and help to identify the types of problems for which it is best suited. For instance, evaluating the system on tasks from the OpenAI Gym benchmark suite, which includes a wide range of reinforcement learning environments, would provide a more comprehensive understanding of its capabilities and limitations. Furthermore, the authors should provide a detailed analysis of the system's performance on these tasks, including metrics such as the time taken to generate code, the quality of the generated code, and the system's ability to handle errors and edge cases. This would allow for a more rigorous comparison with existing approaches and provide a more solid foundation for future research. Second, the paper needs a more thorough investigation of the computational resources and training time required by the TrAgent system. This should include a breakdown of the time spent on different components of the system, such as the tree search, agent action selection, and experience sharing. It would be beneficial to analyze how these costs scale with the number of agents, the size of the state space, and the complexity of the task. Furthermore, the paper should explore the potential for parallelizing the tree search and other computationally intensive components of the system to improve its efficiency. This analysis should also consider the memory requirements of the system, particularly the memory needed to store the tree structure and the agent experiences. A detailed analysis of these factors would provide a more complete understanding of the practical limitations of the system and guide future efforts to improve its scalability. The authors should also include a detailed analysis of the time and space complexity of the tree-based orchestration. This analysis should include a breakdown of the time spent on different stages of the PUCT search, such as node selection, expansion, and backpropagation. The memory footprint of the tree structure should also be analyzed, including the number of nodes and the size of the data stored at each node. The paper should also investigate the impact of different tree parameters, such as the maximum depth and branching factor, on the overall performance and resource consumption. This analysis should be supported by empirical results, showing how the overhead scales with the size of the search space and the number of agents. Furthermore, the paper should discuss potential strategies for reducing the overhead, such as pruning the tree or using more efficient data structures. This would provide a more complete picture of the practical limitations of the proposed approach. Third, the paper should include a more comprehensive comparison with a wider range of state-of-the-art multi-agent systems and optimization techniques. This should include a comparison with both centralized and decentralized approaches, as well as methods that use different forms of coordination and communication. For example, comparing TrAgent with methods that use explicit communication protocols or those that rely on shared memory would provide a more complete picture of its strengths and weaknesses. Furthermore, the paper should explore the potential for combining TrAgent with other optimization techniques, such as evolutionary algorithms or gradient-based methods, to further improve its performance. A more thorough comparison with a diverse set of baselines would provide a more robust evaluation of the proposed system and help to establish its position within the broader landscape of multi-agent systems. Finally, the paper should explore the impact of different agent architectures and communication protocols on the overall performance of the system. The current evaluation seems to assume a homogeneous agent population, which might not be realistic in practical scenarios. It would be beneficial to investigate how the system behaves with heterogeneous agents having varying capabilities and expertise. For example, some agents might be better at certain types of optimization tasks than others, and the system should be able to leverage these differences to improve overall performance. The paper should also explore different communication protocols, such as centralized or decentralized approaches, and analyze their impact on the system's efficiency and scalability. This analysis should include a discussion of the trade-offs between different communication strategies and their suitability for different types of optimization tasks. By addressing these limitations, the authors can significantly strengthen the paper and provide a more comprehensive and robust evaluation of the proposed TrAgent system.

❓ Questions

Several key questions arise from my analysis of this paper, focusing on the core methodological choices and the limitations of the evaluation. First, how does the performance of TrAgent compare to other state-of-the-art auto-tuning methods on GEMM kernel optimization, beyond the simple random baseline? The paper's comparison is limited to a single self-controlled agent and a random search, but a more thorough comparison with methods like AutoTVM or other LLM-based optimization approaches would provide a more robust evaluation of TrAgent's performance. Second, what are the specific limitations of the proposed method, and how can they be addressed in future work? The paper acknowledges some limitations, but a more detailed discussion of the potential challenges that may arise when applying TrAgent to real-world code generation tasks would be beneficial. This should include a discussion of the types of tasks for which the system is likely to be less effective, as well as the potential for the system to generate incorrect or inefficient code. Third, how does the computational overhead of the tree-based orchestration scale with the number of agents and the complexity of the task? The paper lacks a detailed analysis of the time and space complexity of the PUCT search and the memory footprint of the tree structure. A more thorough investigation of these factors is needed to assess the practical limitations of the system. Fourth, how does the system perform on tasks other than GEMM kernel optimization? The current evaluation is limited to a single task, and it is unclear how well the system would perform on other code generation tasks with different structural properties. Evaluating the system on a more diverse set of tasks would provide a more comprehensive understanding of its capabilities and limitations. Fifth, what are the computational resource and training time requirements of the system? The paper does not provide detailed data on the training time or resource usage of the system. A more thorough analysis of these factors is needed to assess the practical applicability of the proposed approach. Finally, how does the system compare to a wider range of state-of-the-art multi-agent systems and optimization techniques? The paper's comparison is limited to a few baselines, and a more comprehensive comparison with other multi-agent systems and optimization techniques would provide a more robust evaluation of the proposed system. These questions are crucial for understanding the strengths and weaknesses of the proposed approach and for guiding future research in this area.

📊 Scores

Soundness:2.75
Presentation:2.75
Contribution:2.75
Rating: 5.0

AI Review from ZGCA

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📋 Summary

The paper introduces TrAgent, a tree-based orchestration system for coordinating multiple self-controlled LLM agents via a PUCT-style search that preserves agent autonomy while enabling inter-agent experience sharing and scalable exploration. The key methodological component is a parent-level prior-shaping mechanism (Eq. 6) that blends static priors P(s,a) with empirical evidence from visit counts N(s,a) and an exponentially smoothed success signal EXP(s,a) (Eq. 5), progressively shifting from static to data-driven priors as experience accrues. The value signal V is normalized from measured kernel performance (Eq. 3). The system is instantiated on general matrix multiplication (GEMM) kernel optimization on GPUs, using a specification-driven development (SDD) protocol with correctness checks and Nsight Compute metrics. Experiments compare TrAgent to a single self-controlled agent (two MCP variants) and a random baseline, with ablations on the exploration constant c, tree depth/width, and autonomy features (reflection and memory toggles). The paper reports that TrAgent outperforms the baselines and approaches roughly 80% of cuBLAS in representative settings.

✅ Strengths

  • Methodological clarity on the orchestration mechanism: TrAgent formalizes selection (Eq. 1–2), expansion/evaluation, and backup (Eq. 4) with a mathematically specified parent-level prior-shaping mechanism (Eq. 5–6) that blends static priors and empirical evidence; this is a principled extension to vanilla PUCT.
  • Autonomy-preserving design: The orchestrator limits itself to selection/backup and feeds back outcomes (elapsed time, diagnostics) while agents decide planning/tool use (Section 3, Autonomy-preserving design), aligning with the trend toward self-controlled agents under MCP.
  • Domain choice and SDD protocol: GEMM is a meaningful, practically important testbed requiring both reasoning and code generation. The task specification includes correctness criteria, allowed/disallowed tools, and performance measurement via Nsight Compute Elapsed Cycles (Section 4.1).
  • Value normalization for performance-driven tasks: The scalar V = clip(1 - time(candidate)/time(baseline), 0, 1) (Eq. 3) is simple and makes values comparable across settings, facilitating integration into PUCT and experience shaping.
  • Ablations on search and autonomy features: The paper studies sensitivity to c, tree depth/width, and toggles for reflection/memory, which are the right knobs to analyze search efficiency and stability (Section 3, Section 4).
  • Empirical indication of benefit over single-agent and random baselines and a reported scaling trend with more agents (Abstract, Figure 1; Section 4).

❌ Weaknesses

  • Reproducibility gaps: Crucial search/shaping hyperparameters (c, m, k, r/ρ, ε), budget T, and functional form of g(V) are not specified for the main experiments (Algorithm 1 and Eq. 5–6 mention them but do not provide values), hindering verification.
  • System details omitted: Missing hardware specifications (GPU model, SM count, memory bandwidth), compiler versions/flags, matrix sizes/distributions, number and type of agents ("codex-style" vs "claude-code-style" is too vague), tree depth/width limits, and wall-clock budget. Without these, the reported "~80% of cuBLAS" is not actionable.
  • Limited baselines: While comparisons to single self-controlled agents and random search are appropriate, the absence of non-LLM state-of-the-art automated optimization baselines (e.g., Ansor/AutoTVM, FlexTensor, or CUTLASS-guided auto-tuning) weakens claims of broader impact in automated GEMM optimization.
  • Insufficient characterization of the experience shaping mechanism: The paper introduces EXP(s,a), λ_s(N(s)), and ρ/ε (Eq. 5–6), but lacks sensitivity analyses (e.g., different g(V) choices, varying λ_s schedules) and ablations isolating the benefit of shaping vs. vanilla PUCT.
  • Results presentation: Figure 2 is referenced, but no numerical tables are provided for absolute times, speedups, or variability; the claim of a "scaling phenomenon as the number of agents increases" is not quantified (no agent-count scaling curve).
  • Scope vs. claims: The paper is limited to GEMM and does not demonstrate generalization to other code-optimization tasks; without stronger cross-domain evidence, the broader orchestration claims remain suggestive.

❓ Questions

  • Please provide the exact values (or ranges) used for the key hyperparameters in Eq. 5–6 and Algorithm 1: c, m, k, r (or ρ), ε, as well as the functional form of g(V). How sensitive is performance to these choices?
  • What were the search budgets T (rounds) and the maximum tree depth/width used in Figure 2? How do results vary if you halve/double T?
  • What hardware was used (GPU model, driver, CUDA version), compiler versions and flags, and matrix sizes/distributions for evaluation? Please report absolute times (ms), Elapsed Cycles, and error metrics alongside relative performance.
  • How many agents did you use per experiment, and what precisely distinguishes the "codex-style" and "claude-code-style" instantiations (model names, context lengths, MCP toolsets, memory/reflection capabilities)?
  • How is P(s,a) obtained at expansion? Are priors derived from agent judgments (e.g., confidence) or uniform? Did you update P(s,·) at nodes as hinted in Algorithm 1 (lines 23–25), and if so, how were those updates computed?
  • Can you provide an ablation comparing vanilla PUCT (no shaping) vs. your shaping (Eq. 6), holding other factors constant, and quantify the improvement?
  • How robust are results across random seeds and runs? Please include standard deviations and, if possible, confidence intervals for the curves in Figure 2.
  • Can you add comparisons with non-LLM SOTA automated optimization systems (e.g., Ansor/FlexTensor or CUTLASS-based auto-tuning) to contextualize the "~80% of cuBLAS" claim?
  • What is the wall-clock overhead (including compile+profile time) per round and overall, and how does that compare to single-agent and random baselines? Does your controller amortize its overhead for larger problem sizes?
  • You mention a "scaling phenomenon as the number of agents increases". Please provide quantitative scaling curves (performance vs. agent count), controlling for total budget, to isolate true multi-agent benefits.

⚠️ Limitations

  • Generalization: Experiments are limited to GEMM; it remains unclear how TrAgent performs on other kernels/operators or heterogeneous devices.
  • Reproducibility: Missing hyperparameters, hardware, and exact experimental settings make independent verification difficult.
  • Baselines: Lack of comparison to non-LLM auto-tuning SOTA (e.g., Ansor/FlexTensor) limits conclusions about broader impact in automated optimization.
  • Shaping mechanism characterization: Limited analysis of sensitivity to EXP smoothing (m), λ_s schedule (via k), and the choice of g(V) hinders understanding of robustness.
  • Overhead: Tree-search plus compile/profile loops may incur substantial wall-clock and energy overhead, especially for small workloads where overhead dominates.
  • Potential negative societal impact: Minimal direct risk given the domain (kernel optimization), but increased compute usage for large-scale search can have environmental costs. Encouraging efficient budgeting and early stopping could mitigate this.

🖼️ Image Evaluation

Cross‑Modal Consistency: 22/50

Textual Logical Soundness: 20/30

Visual Aesthetics & Clarity: 10/20

Overall Score: 52/100

Detailed Evaluation (≤500 words):

Visual ground truth

• Figure 1: Concept diagram contrasting fixed-role agents vs TrAgent‑organized autonomous agents; icons, “Character/Function/Workflow” labels; tree sketch.

• Figure 2: Line plot. x-axis: Rounds (PUCT iterations). y-axis: “Normalized Elapsed Time (baseline = 1)”. Legend: single agent, system codex, random, “cublas (≈2% of baseline)”. Curves: system and single-agent decrease toward ≈0.58–0.65; random ~1; cuBLAS ~0.02.

1. Cross‑Modal Consistency

• Major 1: Central 80%‑of‑cuBLAS claim conflicts with Fig. 2 values. Evidence: Abstract; Fig. 2 y-axis, legend “cublas (≈2% of baseline)”, system curve ≈0.58.

• Major 2: Fig. 2 caption claims ms on y‑axis; figure shows normalized time. Evidence: Sec 4, Fig. 2 caption “elapsed time (ms)”; image y‑axis “Normalized Elapsed Time”.

• Major 3: Text says results for two model families; figure lacks “claude‑code‑style” series. Evidence: Sec 4 “codex‑style and claude‑code‑style”; Fig. 2 legend lacks claude.

• Major 4: “Scaling as number of agents increases” asserted without any plot/table varying agent count. Evidence: Abstract “scaling … as the number of agents increases”; no corresponding figure/table.

• Major 5: Claimed ablations (c, depth/width, autonomy) are not presented. Evidence: Method “We ablate c, tree depth/width, and autonomy features”; only Fig. 2 shown.

• Minor 1: Missing depiction of standard deviations despite claiming averages with SD. Evidence: Sec 4 “averaging … with standard deviations”; Fig. 2 shows no error bars/bands.

• Minor 2: Notation mismatch between text and pseudocode (ρ,ε vs r,e) and duplicated “equation”. Evidence: Eq. 6 uses ρ, ε; Algorithm 1 uses r, e; “Equation equation 6”.

2. Text Logic

• Major 1: Performance conclusion (“approaching vendor library”) is unsupported given Fig. 2 gap to cuBLAS. Evidence: Conclusion; Fig. 2 cuBLAS ≈0.02 vs system ≈0.58.

• Minor 1: Spacing artifacts hinder readability but not substance. Evidence: Eq. 3 shows “c l i p”, “t i m e”.

• Minor 2: Optimize Elapsed Cycles but report elapsed time; relation unargued. Evidence: Sec 4.1 “Elapsed Cycles”; Sec 4 reports “elapsed time”.

3. Figure Quality

• Major 1: Fig. 1 is likely illegible at print size (150 px tall; dense icons/text). Evidence: Fig. 1 image 150 px height.

• Minor 1: Fig. 2 would benefit from SD bands and explicit “lower is better” note; add claude series.

Key strengths:

• Clear PUCT‑style controller with parent‑shaped priors; autonomy‑preserving design is well articulated.

• GEMM SDD task specification is concrete, with correctness and constraints clearly stated.

Key weaknesses:

• Core performance and scaling claims are not supported by the provided figure.

• Multiple figure–text mismatches (units, missing series, missing ablations).

• Legibility of Fig. 1 and minor notation/formatting issues reduce clarity.

Recommendations:

• Reconcile performance reporting; add plots versus cuBLAS with consistent normalization and SD.

• Include claude‑style results, agent‑count scaling curves, and ablation figures.

• Fix units/captions, notation consistency (ρ/ε vs r/e), and improve Fig. 1 readability with larger text and call‑outs.

• Add “lower is better” and error bands to Fig. 2; ensure MCP variants are labeled.

📊 Scores

Originality:3
Quality:2
Clarity:2
Significance:2
Soundness:2
Presentation:2
Contribution:2
Rating: 4

AI Review from SafeReviewer

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📋 Summary

This paper introduces a novel tree-based orchestration system, named TrAgent, designed for self-controlled agents. The system utilizes a PUCT-style search algorithm to dynamically allocate agent actions while maintaining their autonomy. The authors claim that this approach offers three key benefits: full agent autonomy for critical tasks, a generalized mechanism for inter-agent experience sharing, and scalability as the number of agents increases. The effectiveness of the system is demonstrated through the task of general matrix multiplication (GEMM) kernel optimization, achieving 80% of the performance of the cuBLAS code. Additionally, the system exhibits a scaling phenomenon as the number of agents increases. The authors provide an analysis of how search hyperparameters and autonomy features shape the effectiveness of the system.

✅ Strengths

The primary strength of this paper lies in its introduction of TrAgent, a novel approach to orchestrating self-controlled agents using a tree-based search mechanism inspired by PUCT. This is a significant contribution as it offers a new way to leverage the power of multiple autonomous agents in complex optimization tasks. The idea of maintaining full agent autonomy while using a tree search to coordinate their efforts is particularly compelling. This allows agents to make critical decisions regarding planning and tool use, while the tree search mechanism ensures that the overall exploration is efficient and effective. The paper also presents a well-defined methodology, clearly outlining the components of the TrAgent system, including the tree structure, the PUCT algorithm, and the experience mechanism. The experimental results, although limited to GEMM kernel optimization, demonstrate the potential of the proposed approach. The fact that TrAgent achieves performance levels approaching that of highly optimized libraries like cuBLAS is a strong indicator of its effectiveness. The paper is also well-written and easy to follow, which enhances its accessibility and impact. The authors clearly articulate the problem they are addressing, the proposed solution, and the experimental results. The use of a PUCT-style search for multi-agent orchestration is a creative adaptation of a well-established algorithm, and the paper successfully demonstrates its potential in the context of GEMM kernel optimization. The paper's focus on agent autonomy is also a strength, as it allows for more flexible and adaptable systems. The authors have clearly identified a gap in the existing literature and have proposed a novel solution that addresses this gap. The potential for this approach to be applied to other complex optimization tasks is also a significant strength, suggesting a promising direction for future research.

❌ Weaknesses

After a thorough examination of the paper, I've identified several key weaknesses that warrant careful consideration. Firstly, the paper's experimental evaluation is limited in scope, focusing solely on GEMM kernel optimization. While the authors demonstrate promising results on this specific task, the lack of evaluation on other tasks raises concerns about the generalizability of the proposed approach. As noted by multiple reviewers, it is unclear whether TrAgent would perform equally well on tasks with different characteristics, such as those involving symbolic reasoning or natural language processing. This limitation is explicitly acknowledged in the paper's 'Limitations & Future Work' section, which states that future work should evaluate broader operator suites and heterogeneous devices. The absence of experiments on diverse tasks makes it difficult to assess the true potential of TrAgent as a general-purpose optimization framework. Secondly, the paper lacks a direct comparison with other established multi-agent systems. While the authors compare TrAgent against single-agent baselines and a random search baseline, they do not provide a comparison against other state-of-the-art multi-agent optimization techniques. This omission makes it difficult to assess the relative performance of TrAgent and to determine whether it offers any significant advantages over existing methods. The paper does mention existing multi-agent systems in the introduction and related work sections, but the absence of a direct experimental comparison is a significant weakness. Furthermore, the paper does not provide sufficient details about the implementation of the single-agent baselines. While the paper mentions that the single-agent baselines align with recent work on LLM-driven agents for code generation and optimization, it does not provide specific details about the LLMs used, the prompting strategies, or the optimization techniques employed. This lack of detail makes it difficult to reproduce the results and to fully understand the performance of the single-agent baselines. The paper also lacks a detailed analysis of the computational cost of the proposed approach. While the authors mention that search overhead may hinder small workloads, they do not provide a quantitative analysis of the computational resources required by TrAgent. This is a significant weakness, as the computational cost is a critical factor in determining the practicality of any optimization technique. The paper also lacks a detailed analysis of the convergence behavior of the proposed method. While the paper presents performance results over rounds, it does not provide a formal analysis of the convergence rate or a comparison with other optimization methods. This makes it difficult to assess the efficiency of the search process and to determine whether the method is guaranteed to converge to a good solution. Additionally, the paper does not provide a detailed analysis of the impact of the hyperparameters on the performance of the proposed method. While the authors mention that they ablate the exploration constant, they do not provide a comprehensive analysis of the sensitivity of the method to different hyperparameter settings. This is a significant weakness, as the performance of tree search algorithms is often highly sensitive to the choice of hyperparameters. Finally, the paper lacks a detailed discussion of the limitations of the proposed approach. While the authors acknowledge that their results are limited to GEMM and do not exhaust all hardware or kernel classes, they do not provide a comprehensive discussion of the potential limitations of the approach. This is a significant weakness, as it is important to understand the limitations of any proposed method in order to assess its potential impact and to identify areas for future research. The paper also does not provide a detailed discussion of the potential for bias in the training data or the impact of the choice of the base LLM on the performance of the system. This is a significant weakness, as these are important factors that can affect the performance and reliability of any AI-based system. The paper also does not provide a detailed discussion of the potential for the system to be used for malicious purposes. This is a significant weakness, as it is important to consider the ethical implications of any AI-based system. In summary, the paper's weaknesses stem from a lack of comprehensive experimental evaluation, insufficient detail in the description of the baselines, and a lack of in-depth analysis of the proposed method's performance and limitations. These weaknesses significantly impact the paper's conclusions and limit its overall impact.

💡 Suggestions

To address the identified weaknesses, I recommend several concrete improvements. First and foremost, the authors should significantly expand the experimental evaluation of TrAgent to include a wider range of tasks beyond GEMM kernel optimization. This should include tasks with varying levels of complexity and different characteristics, such as symbolic reasoning, natural language processing, or combinatorial optimization. This would provide a more robust assessment of the generalizability of the proposed approach and help to identify its strengths and weaknesses in different contexts. For example, the authors could consider applying TrAgent to the Traveling Salesman Problem (TSP) or the Knapsack problem, which are well-established benchmarks in the field of optimization. This would allow for a direct comparison with existing methods and provide a more comprehensive evaluation of the proposed approach. Secondly, the authors should include a direct comparison with other established multi-agent systems in their experimental evaluation. This would provide a more accurate assessment of the relative performance of TrAgent and help to determine whether it offers any significant advantages over existing methods. The authors should consider comparing TrAgent with state-of-the-art multi-agent optimization techniques, such as those based on genetic algorithms or particle swarm optimization. This would provide a more comprehensive evaluation of the proposed approach and help to establish its position in the field. Thirdly, the authors should provide more detailed information about the implementation of the single-agent baselines, including the specific LLMs used, the prompting strategies, and the optimization techniques employed. This would improve the reproducibility of the results and allow for a more thorough understanding of the performance of the single-agent baselines. The authors should also consider providing the code for the single-agent baselines to allow other researchers to reproduce their results. Fourthly, the authors should provide a more detailed analysis of the computational cost of the proposed approach, including the time and memory requirements. This would help to assess the practicality of TrAgent and to identify potential bottlenecks. The authors should also consider comparing the computational cost of TrAgent with other multi-agent optimization techniques. Fifthly, the authors should provide a more detailed analysis of the convergence behavior of the proposed method, including a formal analysis of the convergence rate and a comparison with other optimization methods. This would help to assess the efficiency of the search process and to determine whether the method is guaranteed to converge to a good solution. Sixthly, the authors should provide a more detailed analysis of the impact of the hyperparameters on the performance of the proposed method, including a sensitivity analysis of the method to different hyperparameter settings. This would help to identify the optimal hyperparameter settings and to improve the robustness of the method. Seventhly, the authors should provide a more detailed discussion of the limitations of the proposed approach, including the potential limitations of the approach in different contexts. This would help to assess the potential impact of the method and to identify areas for future research. Finally, the authors should provide a more detailed discussion of the potential for bias in the training data and the impact of the choice of the base LLM on the performance of the system. They should also discuss the potential for the system to be used for malicious purposes and the ethical implications of their work. By addressing these weaknesses, the authors can significantly improve the quality and impact of their paper.

❓ Questions

Based on my analysis, I have several questions that I believe are crucial for a deeper understanding of the paper's contributions and limitations. Firstly, given the focus on GEMM kernel optimization, I'm curious about the specific rationale for choosing this task as the primary evaluation benchmark. While the paper mentions the practical impact of GEMM, I'd like to understand why other tasks, particularly those that are more diverse in nature, were not included in the experimental evaluation. What specific characteristics of GEMM make it a suitable testbed for evaluating the proposed approach, and how do these characteristics relate to the broader applicability of TrAgent? Secondly, regarding the single-agent baselines, I'm interested in a more detailed explanation of the specific LLMs used, the prompting strategies employed, and the optimization techniques applied. What were the key design choices that influenced the performance of the single-agent baselines, and how do these choices compare to the design choices made in TrAgent? Thirdly, I'm curious about the specific criteria used to define the state and action spaces in the tree search. How were these spaces designed to ensure that the search process was both efficient and effective, and what are the potential limitations of these design choices? Fourthly, I'd like to understand more about the practical implications of the computational cost of TrAgent. What are the specific hardware and software requirements for running the system, and how does the computational cost scale with the complexity of the task? Fifthly, I'm interested in a more detailed analysis of the convergence behavior of the proposed method. What are the theoretical guarantees of convergence, and how does the convergence rate compare to other optimization methods? Sixthly, I'd like to understand more about the sensitivity of the proposed method to different hyperparameter settings. What are the key hyperparameters that influence the performance of TrAgent, and how can these hyperparameters be tuned to achieve optimal performance? Finally, I'm curious about the potential for bias in the training data and the impact of the choice of the base LLM on the performance of the system. What steps were taken to mitigate the potential for bias, and how does the choice of the base LLM affect the performance and reliability of TrAgent? These questions are aimed at clarifying key methodological choices, assumptions, and limitations of the proposed approach, which I believe are essential for a comprehensive understanding of the paper's contributions.

📊 Scores

Soundness:2.0
Presentation:2.25
Contribution:2.0
Rating: 3.0

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