NeurIPS 2026 论文列表

Conference on Neural Information Processing Systems

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6,437篇论文

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Joint Learning of Hierarchical Neural Options and Abstract World Model

Top Piriyakulkij, Wolfgang Lehrach, Kevin Ellis, Kevin Murphy

展开摘要

Building agents that can perform new skills by composing existing skills is a long-standing goal of AI agent research. Towards this end, we investigate how to efficiently acquire a sequence of skills, formalized as hierarchical neural options. However, existing model-free hierarchical reinforcement algorithms need a lot of data. We propose a novel method, which we call "AgentOWL" (Option and World model Learning), that jointly learns --- in a sample efficient way --- an abstract world model (abstracting across both states and time) and a set of neural options. We show, on a subset of Object-Centric Atari games, that our method can learn more skills using less data than baseline methods and possesses learning and generalization capabilities that the baselines do not have.

Poster
Joint EM Image Super-Resolution and Segmentation with Semantic and Structural Priors

Jiateng Shou, Haoyuan Shi, Zhiwei Xiong

展开摘要

Reconstructing the connectome of the brain is a central goal of modern neuroscience, but the required electron microscopy (EM) imaging is extremely time-consuming. EM image super-resolution (SR) accelerates this acquisition for downstream neuron segmentation, yet existing methods do not adequately couple SR with segmentation for EM: SR lacks segmentation guidance, and segmentation cannot adapt to super-resolved features. In this work, we propose a joint SR and segmentation framework specifically designed for EM images. In the super-resolution part, we introduce segmentation as an auxiliary task via a shared encoder with task-specific decoders to provide a semantic prior, improving reconstruction fidelity. In the segmentation part, we introduce a lightweight partial diffusion model that initializes denoising from a partially noised SR embedding, producing a structural prior that closely approximates real HR features and enhances segmentation accuracy on super-resolved EM images. Extensive experiments across multiple datasets and degradation settings demonstrate the superior performance of our framework.

Poster
Joint Consistency: A Unified Test-Time Aggregation Framework via Energy Minimization

Yunzhen Yao, Hongye Wang, Yahong Wang, Michael Gastpar, Jiang Bo, Lie He

展开摘要

This paper studies test-time aggregation, an approach that generates multiple reasoning traces and aggregates them into a final answer. Most existing methods rely on evaluation signals collected from candidate traces in isolation or answer frequencies, while ignoring comparative interactions among candidates. We propose *Joint Consistency* (JC), formulated as a constrained Ising-type energy minimization problem, where independent evaluation signals act as external fields and pairwise comparisons act as interactions. JC provides a unified framework for test-time aggregation that subsumes existing voting and weighted aggregation methods as special cases. Our construction of the interaction matrix leverages LLM-as-a-judge comparisons, and admits a theoretical interpretation under answer-level homogeneity assumptions. Moreover, we develop an efficient approximation strategy that makes interaction modeling practical for large-scale test-time aggregation. Experiments on math and code reasoning benchmarks show that JC consistently outperforms existing baselines across tasks, judge models, trace budgets, and trace-generation settings.

Poster
Joint Certification for Attributed Graphs: Beyond Topology-Only Robustness

Blaise Delattre, Hengyu WU, Wei Yang Bryan Lim, Yang Cao

展开摘要

Graph neural networks for bot and fraud detection operate on attributed graphs, where adversaries can jointly modify local edges and continuous node features. We study node-level certification under a localized mixed threat model with up to $d$ edge flips in the target message-passing neighborhood and an $\ell_2$ Frobenius feature budget $\epsilon$. We instantiate hybrid randomized smoothing for this graph setting and derive two graph-specific certificates: a sound Sequential NP composition baseline for the joint topology--continuous-feature threat model, and a Hybrid NP certificate whose homogeneous edge-smoothing structure reduces the adversarial adjacency search to an $O(d^2)$ optimization over edge-deletion and edge-addition counts. Across PubMed, Amazon Fraud, YelpChi, and MGTAB, the Hybrid NP certificate yields non-trivial certified regions under joint perturbations. We also construct adaptive joint attacks and show failure cases on PubMed, Amazon Fraud, MGTAB and YelpChi for topology-only certified nodes, demonstrating that topology-only guarantees can overestimate robustness when continuous feature perturbations are allowed. The results support joint discrete--continuous certification as the appropriate robustness notion for attributed graphs with continuous features.

Poster
Jet-Long: Efficient Long-Context Extension with Dynamic Bifocal RoPE

Haozhan Tang, Zerui Wang, Yuxian Gu, Song Han, Han Cai

展开摘要

Modern LLMs are increasingly deployed in long-context applications such as retrieval-augmented generation, repository-level coding, and agentic workflows whose accumulated reasoning and tool traces routinely push the input an order of magnitude past the pretraining window, making zero-shot context extension the dominant deployment path for open-weight checkpoints. Most existing zero-shot methods fix a single rescaling factor up front, so an aggressive factor sacrifices short-context fidelity while a conservative one breaks down at long contexts. We propose Jet-Long, a tuning-free zero-shot method that pairs a local RoPE-faithful window with a long-range window whose rescaling factor adapts dynamically to the current sequence length, recovering the base model exactly at short inputs while extrapolating cleanly at long ones. An inclusion--exclusion attention merge and an on-the-fly RoPE correction rotation make the bifocal construction essentially free at inference; fused into a single CuTe kernel, long-context prefill reaches up to $1.39\times$ FA2 throughput on H100 (approaching the Hopper-only FA4), and single-batch generation incurs $\le 4\%$ overhead at every length. On Qwen3-1.7B/4B/8B up to 128K context, Jet-Long leads RULER by $+4.79$/$+2.18$/$+2.03$ pp over the strongest baseline at 1.7B/4B/8B, achieves the best overall accuracy on HELMET-RAG (a benchmark identified by HELMET as the most efficient predictor of downstream long-context performance) and attains the lowest PG-19 perplexity. Jet-Long also generalizes to hybrid attention architectures such as Jet-Nemotron for further long-context improvement without retraining, and remains hyperparameter-resilient for ease of deployment.

Poster
Jailbreak susceptibility prediction and mitigation via the behavioral geometry of models

Hayden Helm, Xiaodong Liu, Weiwei Yang

展开摘要

Evaluating and mitigating a generative system's susceptibility to jailbreak attacks is critical to its safe deployment. Given the number of deployable systems, full per-configuration evaluation and optimization is impractical. In this paper, we formalize the behavioral geometry of a population of models that, by leveraging previously evaluated and defended models, supports both efficient susceptibility prediction and effective defense transfer across a population. We apply the framework to 79 models spanning 24 providers and to 100 system configurations of a single base model. Simple methods that use the behavioral geometry reach an AUPRC of $0.94$ for susceptibility detection with $\approx98\%$ fewer probes relative to a full evaluation. Using the behavioral geometry to select which model to transfer an optimized defense from outperforms same-provider assignment ($+2\%$, $p = 0.03$) at no additional probe cost, with a set of three models sufficient to cover the population. Results are robust to hyperparameter selection and judge.

Poster
JailBound: A FOL-Guided Jailbreak Evaluation Framework for Revealing Safety Boundaries of LLMs

Fazong Wu, Ming Yang, Xin Wang, Zhenyong Zhang, Xiaoming Wu

展开摘要

Large language models (LLMs) are now deployed in a wide range of real-world applications, making it important to evaluate how reliably they resist jailbreak attacks. However, existing jailbreak evaluations mainly rely on manually collected prompts or discrete text-space optimization, which limits their coverage and makes them difficult to extend to new threat settings. We present $\textbf{JailBound}$, a jailbreak evaluation framework that combines automated benchmark construction with intent-preserving attack optimization in embedding space. JailBound organizes evaluation instances with a hierarchical threat taxonomy spanning risk categories, application domains, and attack types, and uses this structure to generate meta-attack prompts with a fine-tuned meta-attack generator. It further formulates jailbreak evaluation as an embedding-space attack optimization problem and uses a first-order loss (FOL)-guided dual-branch search to jointly identify high-value vulnerable regions and safety boundary states. Under a unified evaluation protocol, we study 46 LLMs from 13 model families. The results show that JailBound covers a broader range of risk settings than existing prompt-based benchmarks, and that its optimized attacks transfer nontrivially across model families while supporting finer-grained analysis of vulnerability patterns and safety boundary behavior. $\textcolor{red}{\text{Warning: this paper includes examples that may be offensive or harmful.}}$

Poster
Jaguar: Fast Private CNN Inference with Power-of-Two Homomorphic Arithmetic

Yewon Jeong, Nayoung Jung, Hyeri Roh, Woo-Seok Choi

展开摘要

Hybrid HE/2PC private CNN inference remains bottlenecked by prime-modulus homomorphic arithmetic in convolution and by a precision flow that runs ReLU at doubled bitwidth before invoking a separate truncation protocol. We present Jaguar, a system built on a single design choice---a power-of-two ciphertext ring---that addresses both. The choice enables SPA-Conv, a coefficient-domain convolution kernel that replaces NTT-centric polynomial multiplication with scalar--polynomial accumulation, and an exact ciphertext-side truncation by local right shifts that lets ReLU run directly at the target fixed-point precision and eliminates the post-ReLU truncation protocol. Where NTT remains genuinely useful---at the client, for the single polynomial multiplication during decryption---we recover it through an auxiliary NTT prime, preserving the power-of-two protocol substrate while keeping decryption $O(N\log N)$. On ImageNet-scale ResNet-18, ResNet-50, and MobileNetV2 with AVX disabled, Jaguar achieves 2.07--3.72$\times$ lower end-to-end latency than Cheetah and 2.16--3.36$\times$ lower than Rhombus, with 1.16--1.76$\times$ lower communication than Cheetah.

Poster
Jacobian Scopes: A Unified Geometric Framework for Token-Level LLM Attributions

Toni Liu, Baran Zadeoğlu, Nicolas Boulle, Raphaël Sarfati, Gurbir Arora, Christopher Earls

展开摘要

Gradient-based attribution methods for large language models (LLMs) have so far been limited to explaining scalar outputs - the logit of a single target token. Yet LLM predictions are inherently distributional, and many practically important questions concern the full predictive distribution: which tokens make the model uncertain? Which drive a broad range of plausible continuations? We propose **Jacobian Scopes**, a unified framework that fills this gap by projecting the input-to-output Jacobian onto different directions in output space via a single vector-Jacobian product, requiring only one backward pass. This yields three complementary methods: **Semantic Scope** attributes a specific target logit; **Fisher Scope**, grounded in information geometry, identifies tokens that most alter the overall shape of the predicted distribution; and **Temperature Scope** traces which tokens govern the model's predictive confidence. Fisher and Temperature Scopes are, to our knowledge, the first attribution methods to natively target distributional rather than pointwise features of LLM predictions. Through case studies spanning instruction following, translation, and in-context time-series forecasting, Jacobian Scopes reveal implicit political biases, uncover word- and phrase-level translation strategies, and illuminate the nearest-neighbor pattern-matching mechanisms underlying LLM forecasting. Quantitative evaluation on LAMBADA and IWSLT2017 across six leading LLMs (LLaMA-3.2, Qwen2.5, Gemma-3) confirms that Jacobian Scopes consistently match or outperform Input $\times$ Gradient and Integrated Gradients, at a fraction of the latter's computational cost.

Poster
Jacobian Descent for Multi-Objective Optimization

Pierre Quinton, Valérian Rey

展开摘要

Many optimization problems require balancing multiple conflicting objectives. To generalize gradient descent, which is limited to single-objective optimization, we introduce Jacobian descent (JD) and its stochastic variants. This algorithm iteratively updates parameters using the Jacobian matrix of a vector-valued objective function, in which each row is the gradient of an individual objective. While several methods to combine gradients already exist in the literature, they generally struggle when the objectives conflict. In contrast, we propose projecting gradients to fully resolve conflict. We prove convergence to the Pareto front in the smooth convex case with this approach, a stronger guarantee than the usual convergence to a weakly Pareto stationary point. Our method also enables instance-wise risk minimization (IWRM), a novel learning paradigm in which the loss of each training example is considered a separate objective. Early experimentation on image classification shows promising results for IWRM. Lastly, we provide an efficient implementation of JD using the Gramian of the Jacobian matrix to drastically reduce memory requirements.

Poster
JaSpec-LID: Local Intrinsic Dimension Estimation via Jacobian Spectra of ODE-based Generative Models

Hiro Ishii, GENKI OSADA

展开摘要

Local intrinsic dimension (LID) quantifies the degrees of freedom of the data manifold around a point and is widely used to detect memorization, diagnose distribution shift, and characterize learned representations. Existing generative-model-based LID estimators are model-specific: they rely on a score, a log-density Hessian, or an exact log-likelihood, and therefore do not apply to ODE-based generators (flow matching, rectified flows, stochastic interpolants, and CNFs) that expose only a velocity field. We propose JaSpec, a model-agnostic LID estimator that counts the singular values of the velocity-field Jacobian $J_t = \partial f_\theta / \partial x$ that fall below a threshold $\tau$. JaSpec applies uniformly to score-based diffusion (via the probability-flow ODE) and to flow-based generators, and recovers Hessian-based estimators on probability-flow diffusion as a verification special case. We prove a direct dynamical identifiability theorem under a Jacobian-normal-dominance condition stated entirely in terms of $J_t$ and verified by an empirical spectral-gap diagnostic. On VP-SDE diffusion and OT-CFM flow-matching benchmarks with known LID, JaSpec attains MAE $= 0$ on most settings up to $D{=}3072$, where no prior model-based estimator reaches zero error, and improves over the strongest model-based baseline by an order of magnitude on the hardest $3072$-dimensional nonlinear mixture. We provide both an exact $\mathcal{O}(D^3)$ path and a linear-cost stochastic Lanczos quadrature path. JaSpec is, to our knowledge, the first LID estimator applicable to flow matching, rectified flows, and generic differentiable ODE generators.

Poster
JODA: Composable Joint Dynamics for Articulated Objects

Tianhong Gao, Cheng Yu, Yinghao Xu, Mengyu Chu

展开摘要

Articulated objects used in simulation and embodied AI are typically specified by geometry and kinematic structure, but lack the fine-grained dynamical effects that govern realistic mechanical behavior, such as frictional holding, detents, soft closing, and snap latching. Existing approaches either ignore the detailed structure of dynamics entirely, or use simple models with limited expressiveness. We introduce JODA, a framework for generating joint-level dynamics as a structured three-channel field over the joint degree of freedom, capturing conservative forces, dry friction, and damping. Instantiated using shape-constrained piecewise cubic interpolation (PCHIP), this formulation defines a compact and expressive function space that is both interpretable and compatible with differentiable simulation. Building on this representation, we develop methods for inferring and refining joint dynamics from multimodal inputs. Given visual observations and joint context, a vision-language model proposes structured dynamical primitives, which are composed into a unified dynamics field. The resulting representation supports both direct manipulation and gradient-based refinement. We demonstrate that JODA enables plausible and controllable modeling of diverse joint behaviors, providing a unified interface for inference, editing, and optimization.

Poster
JEDI: Real-Time Jailbreak Defense for LLMs via In-Generation Detection and Intervention

Ruilin Xie, Bixin Li, Xinyu Chen, Yongqiang Tian, Wang Lulu

展开摘要

Large Language Models remain vulnerable to jailbreak attacks despite extensive efforts to ensure safety alignment. Streaming generation scenarios exacerbate this vulnerability by exposing harmful tokens to users immediately upon generation, a phenomenon known as prefix exposure. Existing defenses often fail to address this real-time constraint or impose substantial latency that degrades user experience. To bridge this gap, we propose JEDI, a real-time defense method that secures streaming outputs via in-generation detection and intervention. JEDI leverages representation engineering to monitor the LLM’s internal semantic drift, using a Cumulative Sum algorithm to identify persistent, harmful intent before it manifests in the output. Upon detecting a risk, the system dynamically injects a steering vector to redirect the generation trajectory toward a safe subspace. Extensive evaluations across 6 distinct models and 11 attack vectors demonstrate that JEDI achieves defense success rates ranging from 93.6\% to 99.4\%, outperforming state-of-the-art baselines. Furthermore, JEDI preserves model utility with a Time To First Token overhead of approximately 0.003 seconds, validating its viability for latency-sensitive applications. Our code and experimental results are available at: https://anonymous.4open.science/r/JEDI-93F9

Poster
JARVIS-Bench: Benchmarking Personal Intelligence Agents on Long-Horizon Real-User Daily Traces

Weizhi Zhang, Wei-Chieh Huang, Yueqing Liang, Liwei Jiang, Zhengxiang Wang, Liangwei Yang, Zechen Li, Yuchen Wu, Haozhen Zhang, Yu Wang, Yuanchen Bei, Yue Zhou, Siqi Zhu, Henry P Zou, Jiahong Liu, Xinni Zhang, Paul Martin, Joseph Marvin Imperial, Yuyang Luo, Xiongxiao Xu, Baixiang Huang, Shanglin Wu, Lucas Resck, Yibo Wang, Yuqing Liu, Langzhou He, Chengze Li, Yuxin Tian, Kening Zheng, Enze Ma, Boi Huynh, Zheng Hui, Rui Yang, Tao Feng, Jie Yang, Shanghao Li, Haoran Wang, Wooseong Yang, Hanrong Zhang, Huanhuan Ma, Daye Yoon, Yaozu Wu, Shikan Lian, Xiaoqian Ruan, Fangxin Wang, Hyeonjeong Park, Hins Hu, Wenzhe Fan, Chen Wang, Yifan Gu, Dongyuan Li, Song Wang, Aylin Caliskan, Jindong Wang, Xiao Luo, Yankai Chen, Kai Shu, Steve Liu, Philip S. Yu

展开摘要

Personal intelligence agents aim to support users across daily-life tasks by learning their preferences, routines, needs, and emotional states from long-term interaction. They are expected to anticipate user needs, provide proactive assistance, and infer preferences that users have never explicitly articulated. However, existing benchmarks for LLM personalization lack real user data spanning extended periods and diverse daily-life domains, and typically reduce personalization to simplified settings such as recommendation or fact retrieval. We introduce JARVIS-Bench, a new benchmark for evaluating personal intelligence agents, curated from real users’ daily traces and augmented with synthetic trajectory expansions grounded in implicit-preference insights from surveys and structured personas. JARVIS-Bench is built from participants who contributed 28 to 44 days of multimodal self-tracking logs, structured personas, and a 100-question implicit-preference survey spanning eight domains. It supports four downstream task surfaces: implicit preference reasoning, proactive-help prediction, emotion-aware modeling, and cross-domain transfer, all evaluated through a unified event iterator and long-horizon user-memory pipeline. We benchmark 28 LLMs from 10 model families, including Gemini, GPT, Qwen, Gemma, and Claude, across a five-condition input ladder ranging from no memory to lifelong memory. Results show that memory and model scaling improve personalization, yet current frontier models remain far from achieving robust real-world personal intelligence.

Poster
Itô maps for any-step SDEs

Zhengkai Pan, Peter Potaptchik, Claudia Yao, Michael Albergo, Jakiw Pidstrigach

展开摘要

Recent one-step generative models accelerate sampling by learning deterministic flow maps of the underlying dynamics. These methods rely on learning from ordinary differential equations, leaving open how to define an exact distillation procedure for stochastic dynamics. We introduce the Itô map, an any-step stochastic flow map that takes an intermediate state and Brownian path and predicts future states in a single pass. The Itô map formulation yields novel estimators for inference-time control by providing cheap, differentiable access to posterior samples. Empirically, Itô maps produce diverse, conditionally valid endpoint samples from fixed intermediate states and support strong steering performance on synthetic and image-generation benchmarks. These results establish any-step SDE integration as a useful primitive for posterior sampling and stochastic control.

Poster
Iterative Nonlinear Computation Underlying Abstract Reasoning

Zitian Gao, Yilong Chen, Yihao Xiao, Xinyu Yang, Ran Tao, Haoming Luo, JY Zhou, Bryan Dai

展开摘要

Universal Transformers (UTs) show strong performance on abstract reasoning tasks such as ARC-AGI, yet the specific sources of their performance gains remain underexplored. We conduct systematic ablations over UT variants and find that performance improvements on abstract reasoning are driven primarily by (i) the recurrent inductive bias induced by parameter sharing across depth and (ii) strong nonlinearity inside the Transformer block, rather than by elaborate architectural heuristics. Motivated by this finding, we propose the Universal Reasoning Model (URM). First, we propose ConvSwiGLU, which augments the feed-forward block with a channel-wise short convolution to effectively enhance nonlinearity of UT. Second, we adopt Truncated Backpropagation Through Loops (TBPTL) to eliminate noise from early loop when training with many loops, by freezing the gradients of early loops. Our approach substantially improves abstract reasoning performance, achieving 57.5% pass@1 on ARC-AGI 1 and 16.0% pass@1 on ARC-AGI 2. More importantly, we pretrain a 8-billion-parameter large language model based on the URM architecture from scratch, and the results show that URM still substantially outperforms the baseline across all reasoning tasks.

Poster
Iterative Latent Refinement for Value Learning in Offline Goal-Conditioned RL

Daoxin Li, Songcheng Xu, Guozhang Chen

展开摘要

Offline goal-conditioned reinforcement learning (GCRL) enables goal-reaching from static datasets, but the learned value, critic, or compatibility score must support both long-horizon reachability inference and offline policy extraction. We study iterative latent refinement as an architecture-level replacement for the feedforward value or critic backbone used by existing offline GCRL algorithms. Instead of emitting a score after a single feedforward computation, the network repeatedly updates a latent representation using shared recurrent update weights and lightweight step-specific parameters before exposing the final actor-facing signal. On the recent benchmark datasets reported in this study, recurrent variants improve performance across several algorithms without changing their losses, data, actors, or training protocol; across the 21 reported algorithm-dataset rows, the mean improvement is $10.7$ percentage points, with the largest gains on stitching and bottleneck maze tasks. CRL diagnostics are consistent with an improved policy-extraction interface: recurrent critics increase normalized separation between matched and mismatched goals and produce actors that remain closer to dataset actions under several behavior-support proxies. Depth and update-capacity studies further suggest that the effect depends on how computation is allocated between recurrent depth and per-step expressivity.

Poster
Iterative ILP with Update-Size Control for Reducing Surrogate-Task Mismatch in Bit-Width Selection

Shinya Gongyo, Ryosuke Ogasawara, Tatsuya Moe, Masafumi Mori, Yusuke Sekikawa, Mitsuru Ambai

展开摘要

Mixed-precision quantization improves the accuracy-efficiency trade-off by assigning different bit-widths across a network. Since bit-width selection is a combinatorial problem, existing methods often optimize additive surrogate losses instead of directly evaluating task losses in all configurations. We show that these surrogates can suffer from surrogate-task mismatch, especially when many layers are changed simultaneously from a reference configuration. We further observe that, although allowing more layers to change improves the surrogate objective, the evaluated task loss can be minimized at an intermediate limit on the number of changed layers. Based on this observation, we propose Iterative Integer Linear Programming (I2LP), which iteratively refines a reference bit configuration. At each refinement step, I2LP solves multiple ILPs with different limits on how many layers may change from the current reference, and accepts the best candidate only when it reduces the task loss. I2LP applies to both post-training quantization and quantization-aware training, and consistently outperforms uniform-precision baselines and existing mixed-precision methods. Code will be released.

Poster
Iterative Gumbel Planning for Continuous Control

Shaohuai Liu, Weirui Ye, Yilun Du, Le Xie

展开摘要

Search-based planning is a powerful policy improvement paradigm in reinforcement learning, with milestone successes on discrete-action domains through the AlphaZero and MuZero families. Extending it to continuous control, however, faces a structural mismatch between the search operator and the policy class: search at each state evaluates a finite candidate set and returns a discrete distribution, while the parametric Gaussian policy commonly used in continuous control is a continuous density. We prove that distilling the search output into a Gaussian induces a non-vanishing projection error that inflates policy variance and produces a return gap that persists even when the policy mean is locally optimal, and is not closed by additional search compute or data. Inspired by the iterative refinement of MPPI in continuous control, we propose \textbf{Iterative Gumbel Planning (IGP)}, which adapts this principle to a discrete policy class. IGP represents the policy as a per-dimension factorized categorical distribution aligned with the search support, eliminating the projection error and reducing the residual approximation to a bounded discretization error controllable by the grid resolution. Joint candidates are drawn by Gumbel Top-$K$ sampling without replacement, avoiding the $V^{|A|}$ combinatorial explosion of joint discretization, and search-refine iteration runs for multiple rounds at the same state. On DMControl and HumanoidBench, IGP achieves state-of-the-art performance, with improved sample efficiency and lower temporal action variance at evaluation.

Poster
Iterative Critique-and-Routing Controller for Multi-Agent Systems with Heterogeneous LLMs

Wenzhi Fang, Liangqi Yuan, Guangchen Lan, Dong-Jun Han, Christopher Brinton

展开摘要

Multi-agent large language model (LLM) systems often rely on a controller to coordinate a pool of heterogeneous models, yet existing controllers are typically limited to one-shot routing: they select a model once and return its output directly. Such routing-only designs provide no mechanism to critique intermediate drafts or support iterative refinement. To address this limitation, we propose a critique-and-routing controller that casts multi-agent coordination as a sequential decision problem. At each turn, the controller evaluates the current draft, decides whether to stop or continue, and, if needed, selects the next agent for further refinement. We formulate this process as a finite-horizon Markov Decision Process (MDP) with explicit agent-utilization constraints, design a composite reward for controller decisions across turns, and optimize the controller via policy gradients under a Lagrangian-relaxed objective. Extensive experiments across multiple heterogeneous multi-agent systems and seven reasoning benchmarks show that our method consistently outperforms state-of-the-art baselines and substantially narrows the gap to the strongest agent, while using it for fewer than 25% of total calls.

Poster