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10月12日 周一
arXiv cs.LG74

DuoRate:面向混合专家模型服务的双码率逐专家精度分配

arXiv:2610.13328v1 公告类型:新提交 摘要:为混合专家(MoE)模型提供推理服务时,需要为专家精度付出两次代价:常驻内存占用取决于路由器能够访问的所有专家,而每个批大小为一的解码步骤只需为其选中的专家付出代价。这是作用于同一组逐专家位宽的两个不同码率泛函,但已发表的逐专家 MoE 分配方法仅约束前者。我们将这种差异称为存储—读取差距;在已发布的 BitsMoE 检查点中,每权重 2.54 比特(bpw)的存储量变成了 7.50 bpw 的解码流量。我们提出 DuoRate,一次存储,按工作负载读取。离线阶段,它以统一精度档位存储可按前缀读取的权重流,并预计算失真张量。在线阶段,它无需标签即可分析工作负载自身的预填充过程,并在解码泛函约束下求解拉格朗日率失真分配;可以证明,路由频率会从每个逐专家决策中消去,而求解开销仅为每个专家一次点积和一次二分搜索。因此,部署时只需保留单一制品,预填充阶段按存储码率读取,解码阶段则按工作负载自身的码率读取。在 Qwen3-30B-A3B 上,以 2.3 bpw 读取的 DuoRate 在平均准确率上比所有 2 比特级基线高出 6.3 至 47.0 个百分点;在 2.9 bpw 下,它与读取量多出 1.4–1.6 bpw 的 4 比特格式表现相当。其优势在长解码场景下最为显著:在 GSM8K 上,2.9 bpw 的 DuoRate 达到或超过所有 4 比特格式,仅比 BF16 低 0.25 个百分点;即使在 2.6 bpw 下,它仍达到或超过 4.5 比特的 NF4 和 FP4。与采用其自身格式的对照方案相比,仅分配策略一项就可节省 0.07–0.11 bpw 的读取码率。代码将在论文发表后发布。

arXiv cs.LG72

SBNO:用于信息缺失条件下正问题与反问题的 Schrödinger 桥神经算子

arXiv:2610.13317v1 公告类型:新论文 摘要:偏微分方程(PDE)的代理建模通常依赖密集观测,或需要能够获取控制方程或物理约束。在实际应用中,观测可能稀疏且不完整,底层物理机制也可能仅部分已知或完全未知。我们提出 SBNO,这是一种无需方程、基于配对数据的扩散桥匹配框架,可在部分观测条件下学习用于 PDE 正问题与反问题的条件算子。SBNO 采用扩散 Schrödinger 桥匹配,从掩码感知的端点耦合中学习一对随时间变化的漂移项;该耦合在训练期间保留经验输入与解的配对关系,并在统一框架内支持 PDE 任务的正向和反向求解。在推理阶段,SBNO 通过对由所学漂移项对构建的概率流常微分方程(ODE)进行积分,生成确定性的点重建结果,无需在推理时调整观测引导或 PDE 引导的权重。在观测比例为 5% 的五个 PDE 基准测试中,SBNO 的精度优于或媲美基线方法,同时测试样本误差的离散程度更低。此外,与引导扩散基线方法相比,SBNO 的速度至少提升至 9.7 倍,GPU 显存占用至少降至原来的 1/4.3。

arXiv cs.LG60

Sustainable Cloud-Fog-Edge Systems for Smart Buildings: Algorithmic Adaptation under Memory Constraints and Dynamic Orchestration Strategies

arXiv:2610.13307v1 Announce Type: new Abstract: The escalating environmental footprint of the Information and Communication Technol- ogy (ICT) sectorwith global Data Center electric- ity usage potentially reaching 3% by 2030 and the imperative for real-time responsiveness in smart buildings demand a foundational shift towards Edge Computing. This article proposes a holis- tic architectural and algorithmic approach for cre- ating autonomous, resilient, and privacy-preserving learning systems within smart buildings, advancing the core concept of the building itself as the data center. Our contributions, demonstrating originality compared to conventional centralized systems, are structured around three main pillars: 1) Validation of resilient data acquisition chains using the af- fordable Arduino ecosystem (Uno R4 WiFi/BME280) and secure persistence solutions including centralized archiving (Node-RED/MySQL) and secure remote transfer (Python/rsync/SSH). 2). The proposal of a lightweight, KOptim orchestration framework, inter- operable with the FIWARE standard, for the dynamic management of Service Level Agreements (SLA). 3) The adaptation and experimental valida- tion of the Generalized Hebbian Algorithm (GHA) for Principal Component Analysis (PCA) on low- power microcontrollers,We introduce and compare an iterative learning strategy using data buffers, featuring sorting and explicit preservation of extreme samples to maintain diversity. Experimental results on the high-dimensional Tour Perret sensor data confirm that this novel method, despite introducing a necessary temporal complexity of O(W log W ) due to sorting, achieves convergence and final result quality that is visually equivalent to processing the entire dataset in full memory, reliably identifying two distinct operational states.

arXiv cs.LG75

面向半精度近端策略优化的结构感知数值稳定化

arXiv:2610.13306v1 公告类型:新论文 摘要:在资源受限平台上进行本地在线训练,需要较低的计算开销和训练状态存储开销。我们研究了消费级 GPU 上半精度近端策略优化(PPO)的数值稳定性和计算效率。直接将 PPO 训练转换为 FP16 并不可靠,因为数值误差会通过策略更新和后续数据采集形成反馈,而 PPO 会反复比较当前策略与固定的行为策略。我们提出了 PPO-FP16,其中包含三个结构感知模块。全局标量保护用于稳定小批次或参数更新中共享的统计量。策略变化残差保护用于提取并保留当前策略与行为策略之间的微小差异。高效持久更新保护在减少状态存储的同时,稳定优化器状态和参数回写。这些改动保持了 PPO 的目标函数、超参数和训练预算不变。在六项连续控制任务和五个随机种子的实验中,PPO-FP16 在四种方法中取得了最低的回报曲线下面积(return-AUC)平均排名(1.90),并在 30 组环境与随机种子组合的比较中获得了 17 次第一。九种性能配置中有八种实现了 PPO 更新加速,加速比介于 1.16 至 2.03 倍之间。相较于 Full FP32 Adam,优化器状态内存占用减少了 71.7% 至 74.9%,GPU 已分配内存峰值最多减少了 44.5%。结果表明,保护少量在结构上具有重要作用的量,即可在无需重新调参的情况下实现稳定、高效的 FP16 PPO。

arXiv cs.LG76

MORAD:用于 RNA 逆向设计的多目标奖励强化学习

arXiv:2610.13305v1 公告类型:新投稿 摘要:我们提出 MORAD,这是一种面向骨架条件化 RNA 扩散模型的在线强化学习框架,可针对多种目标骨架训练单一共享策略。结构条件化 RNA 逆向设计旨在寻找与目标三维骨架相容的核苷酸序列,但现有强化学习方法要么为每个目标骨架单独优化策略,要么依赖离线偏好优化,因此,对可复用的骨架条件化模型进行在线后训练仍基本未得到探索。MORAD 结合了骨架条件化的分组采样、组相对奖励归一化和前向过程扩散目标。现有强化学习奖励主要关注三级结构质量,而 MORAD 则联合优化六项度量,涵盖三级结构几何、碱基配对、系综行为和序列组成。为在量纲尺度和优化方向存在差异的情况下聚合这些异质目标,MORAD 将各项度量映射为有界的合意度评分,并通过加权几何平均将其组合。与仅针对三级结构的奖励相比,这一多目标方案改善了 11 项具有明确优劣方向的评估指标中的 10 项。应用于预训练的 RIDE 时,MORAD 将 GDT-TS 提高了 16.0%(从 0.3300 提升至 0.3827),将配对 MCC 提高了 19.4%(从 0.6110 提升至 0.7295),同时将归一化系综缺陷降低了 27.5%(从 0.3906 降至 0.2830)。在测试集上,MORAD 在三级结构准确性、二级结构配对和热力学质量方面均优于 RiboDiffusion、gRNAde 和 RDesign,在结构条件化 RNA 逆向设计领域达到了新的最先进水平。

arXiv cs.LG65

DAG Structure Learning with Node-Varying Heavy-Tailed Disturbances

arXiv:2610.13304v1 Announce Type: new Abstract: DAG structures can be learned from observations by incorporating acyclicity via smooth constraints, such as DAGMA's log-determinant function. Typically, observations and the underlying DAG are related through linear structural equation models, with Gaussianity assumption on the disturbances at each node. Extending DAG learning methods that account for scale and tail behavior of disturbances that vary across nodes remains a challenge. We propose a node-varying Student-$t$ DAGMA that jointly estimates the graph structure, node-specific disturbance scales, and the degrees-of-freedom parameter. A Gaussian scale-mixture representation yields an iteratively reweighted formulation that down-weights large standardized residuals. Building on existing results, we also establish identifiability of the graph and disturbance parameters. Synthetic experiments demonstrate improved structural recovery under heterogeneous heavy-tailed disturbances, and experiments on real finance data show that the proposed method yields lower test negative log-likelihood than the evaluated baselines.

arXiv cs.LG67

Recovering Irreducible Three-Body Interactions with Lagrangian Neural Networks

arXiv:2610.13292v1 Announce Type: new Abstract: Lagrangian Neural Networks (LNNs) learn mechanical systems from trajectory data by parameterizing a scalar Lagrangian and deriving the dynamics through the Euler-Lagrange equations, biasing the model toward motion that respects the variational structure of mechanics. The interactions studied so far have been pairwise-additive, leaving open whether LNNs can recover an irreducible many-body interaction from motion alone. We address this using the Axilrod-Teller triple-dipole interaction, the leading three-body dispersion term, whose dependence on the collective geometry of three particles cannot be represented by any sum of pairwise terms. We prescribe the kinetic energy exactly and learn only the potential, as a function of interparticle distances and angles. Combined with a signal-aware sampling strategy that concentrates training data where the three-body signal is strongest while preserving broad coverage of configuration space, this recovers the interaction from accelerations alone. The learned potential reproduces the radial scaling, angular dependence, and characteristic sign reversal of the Axilrod-Teller interaction, and generates stable trajectories. Embedding it within a pairwise Lennard-Jones potential lets us examine its observability: the three-body term is recovered once its dynamical signature exceeds the residual modeling error, which it does cleanly at amplified coupling but not at the coupling of a real noble gas, bracketing the transition between the two. Finally, symbolic regression on the trained potential, with no assumed functional form, returns the Axilrod-Teller expression with angular numerator, radial law, and coupling constant intact. An LNN with domain-specific structure can thus recover an irreducible three-body interaction from trajectories as a closed-form law, pointing toward learning interaction laws whose structure is not known a priori.

arXiv cs.LG62

MHR-Router: Multimodal Heterogeneous Retrieval-Enhanced Adaptive Routing for VLM Inference

arXiv:2610.13278v1 Announce Type: new Abstract: Vision-language models (VLMs) exhibit complementary capabilities, yet selecting the most suitable expert for a given image-question query remains challenging due to heterogeneous multimodal inputs and varying expert strengths. Existing routing approaches rely on text-based cues or static model profiles, failing to capture fine-grained visual evidence and expert-specific failure patterns. To address this, we propose MHR-Router, a multimodal heterogeneous retrieval-enhanced adaptive routing framework for VLM inference. It accurately dispatches each multimodal query to the most suitable VLM expert via local retrieval evidence. MHR-Router consists of two stages: (1) Multimodal Routing Representation, which fuses frozen multimodal features into a comprehensive query representation; and (2) Heterogeneous Retrieval-Enhanced Adaptive Routing, which retrieves expert-specific success and failure memories as local evidence and employs a shared scorer to adaptively select the optimal expert. Experiments show that MHR-Router effectively achieves heterogeneous modality routing and consistently improves accuracy over traditional baselines.

arXiv cs.LG79

CopRoute:面向语言模型的依赖感知保形路由

arXiv:2610.13276v1 公告类型:新论文 摘要:基于集合的语言模型路由旨在控制推理调用次数的同时,提高至少有一个模型正确回答查询这一事件的覆盖率。现有的风险受控路由策略通过校准单个保形阈值,并将其应用于一组嵌套的模型集合,来约束全部失败风险(即所选集合中所有模型均回答失败的概率)。由于每个模型都被单独评分,这些策略忽略了模型失败之间的依赖结构。共享训练数据或架构的模型往往会在相同查询上失败,因此,两个单独表现很强的模型在组合使用时可能存在冗余,而一个较弱但具有互补性的模型却能覆盖其他模型无法正确回答的查询。为考虑这种被现有风险受控策略忽略的依赖关系,我们提出了 CopRoute。它根据每个模型相对于已选模型能够额外正确回答多少查询来对模型排序,针对每个查询决定沿该顺序选择到什么位置,然后选取仍能满足目标风险的最小截断点。我们证明,在设计数据上,CopRoute 的排序对于找到首个正确回答模型所需的平均调用次数,达到了任何高效固定排序算法所能提供的最佳保证;同时,一个独立的校准步骤可为部署时所选模型集合的全部失败风险提供认证。在 RouterBench 和 RouterEval 上,目标风险为 0.05 时,CopRoute 在十个数据集中的九个上实现了最少的经认证调用次数;目标风险为 0.10 时,则在十个数据集中的八个上实现了这一结果。在相同的经认证全部失败风险下,与最先进的风险受控策略相比,其调用次数最多减少 79%,中位数降幅为 24%。

arXiv cs.LG70

Data-Adaptive Mahalanobis Metric Learning for Cross-Head Attention in Transformers

arXiv:2610.13261v1 Announce Type: new Abstract: In this paper, we propose Data-Adaptive Mahalanobis Cross-Head Attention (DAMCHA), a simple and effective attention mechanism that generalizes Multi-Head Attention (MHA) through the lens of metric learning. Standard MHA implicitly learns a static, head-wise Euclidean similarity corresponding to the diagonal blocks of a unified cross-head metric matrix, discarding all off-diagonal interactions across heads. DAMCHA addresses this limitation via two key innovations. First, it learns the full cross-head metric matrix, inducing a Mahalanobis-like similarity that explicitly captures inter-head interactions beyond the restricted block-diagonal structure of MHA. Second, it parameterizes the metric matrix as an input-dependent function, enabling the attention geometry to dynamically adapt to the intrinsic manifold structure of the data rather than remaining fixed after training. We further introduce principled regularization strategies, most notably stack-wise parameter sharing, to ensure computational efficiency and stable optimization. DAMCHA serves as a drop-in replacement for MHA and its variants in various Transformer architectures, delivering superior expressive power and learning performance with comparable or reduced computational overhead. Extensive experiments demonstrate that DAMCHA-based Transformers consistently outperform competing baselines across a range of benchmark tasks. Code is available at https://github.com/erwinmsmith/DAMCHA.

arXiv cs.LG66

Neural Surrogate Modeling of Ultrasonic Wave Propagation in Heterogeneous Media

arXiv:2610.13258v1 Announce Type: new Abstract: Neural surrogates provide computationally efficient auto-regressive modeling of wave propagation, enabling e.g. fast inverse solutions. Despite recent progress, the current surrogates are not yet sufficient for the needs of ultrasonic sensing, characterized by high frequency and heterogeneous propagation media. We show how methods building on Fourier Neural Operators (FNO) fail to capture essential signal features, such as reflections, whereas U-Net -based methods learn the wave fields well but lack the ability to transfer information across different spatial scales. We then propose a new surrogate that captures the best of the two worlds, by integrating FNOs and local-integral resampling into a U-Net architecture. We show it can be trained on limited data, and that the predictions are robust to input noise and work across spatial scales.

arXiv cs.LG75

CAST:跨分词器同策略蒸馏的信用对齐

arXiv:2610.13257v1 公告类型:新论文 摘要:跨分词器同策略蒸馏(OPD)需要先对齐教师与学生的序列,才能比较二者的评分。解码文本对齐在文本块层面建立了这种对应关系,但仍有一个独立问题尚未解决:信用对齐。块级信号指明一个文本片段应当改变多少,却未说明该信号应如何分配到学生的各个词元上,而没有教师对应项的词元则仍然不受约束。我们提出 CAST(Chunk-aware credit Assignment with Selective Token Anchoring),这是一种“改变或保持”框架,可同时解决上述两个问题。对于已对齐的文本块,CAST 利用预测不确定性和局部教师信号的平滑性,将每个块的优势值重新分配到学生词元上,在保持该块总优势值不变的同时,重点关注由局部一致的教师反馈所支持的学习机会。由此得到的权重恰好是一个 KL 正则化信用分配问题的精确解。对于未对齐的位置,CAST 通过 KL 惩罚项选择性地将学生锚定于其初始策略,从而在缺乏教师监督的位置限制策略漂移。由于信用分配与文本块构建相互分离,CAST 也适用于共享分词方式下按标点划分或固定长度的文本块。在六项数学、科学和代码基准测试中,对于从 Qwen3-8B 到 Mistral-7B 和 Llama-3.1-8B 的跨分词器迁移,CAST 的平均得分相较于所评估的最强基线分别提高了 $2.45$ 和 $1.32$ 分;对于到 Qwen3-1.7B 的共享分词器迁移,则提高了 $2.10$ 分。

arXiv cs.LG80

表格基础模型实质上是浅层模型

arXiv:2610.13253v1 公告类型:新论文 摘要:采用上下文学习的表格基础模型(TFMs)无需额外训练即可解决新任务,因此尤其适用于资源有限或存在隐私约束的场景。然而,其架构包含多个 transformer 块,导致较高的计算和内存开销。与此同时,梯度提升决策树(GBDTs)等传统替代方案仍具有很强的竞争力,并且能在 CPU 上高效运行,这表明表格任务可能并不天然需要深层架构。这一对比引出了一个根本问题:能否通过移除架构冗余来简化 TFMs,同时不牺牲性能?为回答这一问题,我们提出了一种具有闭式解、无需标签的仿射转换器,可替换最多占全部块数 96% 的连续块区间,同时保持其余部分不变。通过在 171 个分类数据集上评估八种前沿 TFMs,我们发现表格 transformer 存在严重的过度参数化:在所有架构中,替换模型一半的块所造成的 AUROC 中位数损失最多仅为 $0.002$,而深度减半的 TabFM 仍优于其他所有完整深度的 TFMs 和经过调优的 GBDTs。此外,不同模型家族的过度参数化方式各不相同:TabPFN-3 依赖其编码器,无论仅保留哪一个块,都能维持性能。其他单轴模型将计算分散在各个块中,实际上只需要第一个块;双轴模型则将计算集中在一个关键块中。最终,削减深度最多可减少 15 亿个参数,并以 $0.03$ 的 AUROC 中位数损失为代价,将 GPU 推理速度提升至原来的 $6\times$;而仅含一个块的 TabPFN-3 在性能损失可忽略不计的情况下,对缓存查询的处理速度达到原来的 $2.4\times$,内存用量仅为原来的六分之一。

arXiv cs.LG77

State-OPD:面向多轮智能体的基于状态的同策略蒸馏

arXiv:2610.13238v1 公告类型:新论文 摘要:同策略蒸馏(OPD)已成为将前沿模型的推理能力迁移至较小模型的强大范式,但将其成功推广到多轮智能体环境仍面临挑战。我们从交互状态的角度研究智能体 OPD,将客观任务和已执行的动作—观测记录与学生模型推理的内部语义轨迹区分开来。通过这一视角,我们发现学生模型推理在多轮 OPD 中具有两种作用:先前的推理会扭曲教师模型的监督信号,而当前的推理则会影响在同一状态下采样得到的候选动作。具体而言,在匹配的交互状态下,移除学生模型先前的推理可以提高教师模型的后续执行成功率,并改变教师模型的词元级目标,且在较后轮次中,后续执行成功率的提升更大。同时,与在固定推理轨迹下重新采样动作相比,重新采样完整的推理—动作响应能在同一状态下产生更多样的动作。我们提出基于状态的同策略蒸馏框架,将教师模型的监督建立在交互状态之上,并重新分配采样预算,在响应熵较高的状态下生成多个完整的推理—动作响应,同时保留学生模型基于完整历史的生成方式。在 ALFWorld、ScienceWorld 和 WebShop 上的全面评估表明,无论采用 Qwen3-1.7B 还是 Qwen3-4B 作为学生模型,State-OPD 在所评估的方法中均取得了最高的宏平均成功率。值得注意的是,对于 Qwen3-4B,State-OPD 将宏平均成功率从最强基线的 26.07\% 提高至 31.74\%,并在 ALFWorld Seen 上超越了其教师模型 Qwen3-32B。进一步分析表明,State-OPD 使用更少的受监督轮次响应即可取得更高的任务成功率,并显著减少对失败动作的持续重复;定性轨迹展示了基于交互反馈进行的决策修正。

arXiv cs.LG60

Learning Schwarzschild Geodesic Motion with Lagrangian Neural Networks

arXiv:2610.13234v1 Announce Type: new Abstract: Lagrangian Neural Networks (LNNs) learn dynamics from trajectory data by parameterizing a scalar Lagrangian and deriving accelerations through the Euler--Lagrange equation, providing a variational inductive bias that improves physical consistency over purely data-driven models. LNNs have recently been extended to general relativistic settings, leaving Schwarzschild geodesics as an open challenge. Training on complex relativistic systems is hindered by the diversity of the dynamics, as well as numerical instabilities and the difficulty of adequately sampling physically relevant, diverse orbital regimes. We introduce two coordinated improvements: a decoupled position--velocity normalization scheme that independently rescales each coordinate and its time derivatives, reweighting acceleration targets to balance contributions across all channels; and an energy-constrained log-uniformly sampled dataset generation strategy informed by the innermost stable circular orbit (ISCO) structure. With these improvements, our model accurately reproduces perihelion precession and relativistic time dilation, conserves energy and angular momentum to within a few percent even after completing multiple orbits around the central mass and predicts orbital trajectories across eight orbital scenarios in close, medium, and far-field regimes. These results establish that LNNs, augmented with physically motivated normalization and sampling, can reliably learn geodesic dynamics in curved spacetime. Our work also represents the first successful training of LNNs on Schwarzschild geodesics and offers a promising direction for data-driven modeling of complex relativistic systems.

arXiv cs.LG75

ReSFlow:校正统计流形上的类别流以实现单步生成

arXiv:2610.13225v1 公告类型:新稿 摘要:通过在统计流形上学习连续向量场,将简单先验输运至目标离散分布,离散数据生成建模取得了显著进展。然而,这些连续时间流并未被约束为沿统计流形上的测地线运动,因此需要通过多步数值积分进行模拟,导致推理阶段的计算成本高昂。在本研究中,受 Rectified Flow 在连续欧几里得空间中“直且快”特性的启发,我们提出了 Rectified Statistical Flow(ReSFlow)模型。该模型通过显式学习遵循内在黎曼几何的测地线轨迹,实现统计流形上的单步类别生成。通过校正统计流形上的流,我们从理论上保证了先验分布与目标分布之间的轨迹逼近测地线。这种校正使学习到的轨迹直接沿统计流形上的测地线对齐,从而显著降低输运成本,使模型能够在单步内将纯噪声映射为目标离散数据。通过在涵盖图像、文本和生物领域的多种真实世界生成任务上开展广泛实验,我们展示了 ReSFlow 卓越的单步生成质量,真正实现了测地线意义下最优且快速的类别生成。我们的代码已公开于 https://github.com/xiaohuanjia/ReSFlow。

arXiv cs.LG66

Tensor-based Fusion of Multi-modal Data for Predicting Cancer Risk Levels

arXiv:2610.13221v1 Announce Type: new Abstract: Cancer diagnosis and treatment increasingly rely on multi-modal diagnostic technologies that generate high-dimensional datasets. Although these datasets are rich in pathological information, they pose considerable challenges in interpretation, dimensionality reduction, and clinical applicability. Conventional machine learning approaches often fail to extract meaningful cross-modal features, thereby limiting predictive accuracy in patient risk stratification. To address these limitations, this paper proposes an unsupervised machine learning framework that integrates feature extraction, tensor decomposition, and clustering to improve cancer risk prediction. The framework employs tensor decomposition to fuse heterogeneous genomic and clinical data, enabling the extraction of latent, biologically meaningful features that outperform unimodal feature sets. Multiple feature extraction strategies are investigated, and the resulting features are subsequently clustered using a range of clustering algorithms. Comparative evaluations based on internal and external metrics are then used to identify the most effective configurations. The framework is validated on LinkedOmics data comprising 11,158 patients across 32 cancer types. For patient risk stratification, clinically relevant attributes such as tumor purity, pathological stage, and survival outcomes serve as ground-truth indicators. Experimental results demonstrate the superiority of tSVD+GMM, which consistently outperforms other configurations across clinical benchmarks.

arXiv cs.LG75

Monarch-MoE:用于多模态持续指令微调的结构化专家

arXiv:2610.13215v1 公告类型:新投稿 摘要:在多模态持续指令微调中,学习新任务可能导致对先前所获知识的灾难性遗忘。尽管多专家 LoRA 将学习分散到多个专家中,但对稠密低秩专家的更新仍可能影响许多输出特征。我们提出 Monarch-MoE,将 LoRA 专家中的稠密因子替换为通过固定置换连接的块对角因子。这种结构提供了分块梯度隔离:对单个块对的更新仅影响一个输出块,同时保持所有输入块与输出块之间的连接。为了使这些紧凑的专家能够在显存受限的硬件上切实使用,我们结合了批量计算、融合前向算子和优化的反向传播过程。我们使用 LLaVA-1.5-7B,在 MLLM-DCL 和 UCIT 上评估了三种持续学习方法;Monarch-MoE 提高了首个任务的知识保留能力,同时将适配器参数量分别减少约 75% 和 50%。在主要对比中,MLLM-DCL 上首个任务的遗忘幅度低至 0.52 个百分点,UCIT 上则低至 0.10 个百分点,而最终性能上的权衡因方法而异。我们的实现支持在单张 24 GB RTX 4090 上进行微调和推理,在所评估的设置下,实测显存占用更低,运行时间也具有竞争力。这些算法和系统层面的改进共同使结构化专家成为在显存受限硬件上进行持续适应的实用选择。

arXiv cs.LG71

每次预测需要多少计算量?两种时间序列基础模型中的结构化块跳过

arXiv:2610.13208v1 公告类型:新论文 摘要:时间序列基础模型对每个输入都使用相同的网络深度,尽管预测窗口在结构和难度上各不相同。我们在两种预训练模型 Chronos-Bolt 和 TimesFM 2.5 中检验能否在推理时移除整个 Transformer 块。我们的旁路机制避开了原始块的计算,并在启用所有块时精确保留稠密模型的行为。掩码仅在校准窗口上选择,并在来自 ETTh1、Traffic、Weather 和 Exchange 的 1,088 个留出窗口上评估。在适度稀疏的情况下,保留 7/11 个候选块的 Chronos-Bolt 和保留 16/20 个块的 TimesFM 在各数据集上的平均相对预测质量变化很小,同时将 A100 上批大小为 1 的推理延迟中位数分别降低了 11.2% 和 13.4%。更激进的 TimesFM 块跳过可进一步加速推理,但会显著损害其在 Traffic 和 Weather 上的表现。在这两种模型中,不同的等预算掩码在不同窗口上各有优势,而事后使用的理想选择器在每个数据集上都显著优于最佳静态掩码。然而,数据集特定掩码的迁移表现并不一致,Chronos 表征也无法支持可靠的未见域路由。这些结果证实了跨架构的结构化冗余以及随输入而异的优化潜力,但尚未形成可部署的动态推理方法。

arXiv cs.LG74

重新思考同策略蒸馏中的相对策略差异迁移

arXiv:2610.13205v1 公告类型:新论文 摘要:同策略蒸馏(OPD)利用更强教师提供的词元级监督,在目标策略自身生成的轨迹上训练目标策略,但通常依赖教师的能力显著强于目标策略。近期研究通过迁移专家策略与参考策略之间的相对策略差异,而非专家策略的绝对分布,放宽了这一要求。然而,哪些差异能够提供有效监督,以及哪些目标策略能从中受益,仍不清楚。我们提出了一种统一视角:代理专家与代理参考策略之间的对数概率比,为 KL 正则化策略优化定义了隐式奖励。这一表述导出了目标策略的同策略更新,将传统 OPD 纳入其中作为特例,并支持在规模、训练阶段或代际不同的模型之间进行任意到任意的迁移。我们的系统性实验得出了三项发现。首先,更强的专家未必是更好的监督来源:由特定任务训练(包括强化学习和监督微调)产生的差异能够稳定迁移,而仅由模型规模产生的差异则迁移效果微弱,甚至完全无法迁移。其次,专家与参考策略发挥互补作用:专家提供待迁移的能力,而参考策略过滤掉共有行为,分离出相关的残余差异。第三,即使是有用的差异,也无法迁移至所有目标策略:成功迁移要求所诱导的更新使目标策略向专家靠近,并能泛化到采样轨迹之外。原始策略距离无法预测可迁移性,而恰当的参考策略能够挽救原本失败的迁移。这些结果刻画了相对策略差异何时能够为 OPD 提供有效监督。

arXiv cs.LG75

S$^3$R:通过自稀疏推测解码实现快速且忠实的强化学习轨迹生成

arXiv:2610.13202v1 公告类型:新投稿 摘要:在具有可验证奖励的长上下文强化学习(RLVR)中,快速生成轨迹需要在不改变用于策略优化的响应组的前提下,减少 KV 缓存访问流量。在我们进行性能剖析的 RLVR 工作负载中,注意力计算占自回归解码内核执行时间的 72--76\%。稀疏注意力可以减少这些读取操作,但直接从稀疏策略中采样会改变用于学习的响应组。对于组相对优化,我们证明,即使对每个响应进行精确的重新加权,通常也无法恢复稠密策略的期望更新,因为每个响应的优势取决于组内其他成员的奖励。我们提出了 Self-Sparse Speculative Rollouts(S$^3$R)。该方法使用稀疏注意力提出候选词元,再通过全注意力验证和精确推测采样生成响应。草拟与验证共享同一套策略参数,因此无需训练或更新单独的草拟模型。由此生成的响应组遵循稠密策略的分布。我们刻画了 S$^3$R 实现加速的条件,以及草拟和验证的成本。我们发现,稠密验证仍然需要完整的历史 KV 缓存。因此,具备 KV 感知能力的调度器会在保持轨迹生成并行度的同时,限制 KV 缓存的反复卸载与恢复。% 或抖动 在采用激进稀疏草拟预算的匹配消融实验中,S$^3$R 保持了稳定的训练,而采用训练端校正的直接稀疏采样则变得不稳定。在长上下文数学推理任务中,S$^3$R 在 Qwen3 模型上实现了自回归轨迹生成 $1.39\times~1.35\times$ 的端到端训练吞吐量,同时保持了相当的任务性能。

arXiv cs.LG72

在部分可观测强化学习中,训练循环网络重要吗?

arXiv:2610.13197v1 公告类型:新论文 摘要:部分可观测条件下的强化学习(RL)通常依赖循环网络来编码时序信息,并将循环模块与策略或价值函数联合训练。这引出了一个自然的问题:训练循环网络真的有必要吗?本文研究冻结的循环网络能否提供足够的记忆,以求解部分可观测马尔可夫决策过程(POMDP)。受储备池计算(RC)和广义储备池计算(GRC)理论基础的启发,我们研究了一种简单架构,将固定的循环网络与可训练的非线性输出模块相结合。我们在记忆需求、观测模态和动作空间各异的任务上评估了这种方法。令人惊讶的是,冻结的循环网络能够回忆数百个时间步之前的信息,并在多种 POMDP 中取得具有竞争力的控制性能,而所需的可训练参数数量不到对应的全可训练网络的一半。这些结果表明,求解 POMDP 并不总是需要训练循环记忆模块。因此,冻结的循环网络为部分可观测强化学习提供了一种简单、参数高效且表现出乎意料地强劲的基线。我们的源代码已发布于 https://github.com/Aphlios/FRN-POMDP

arXiv cs.LG70

WaSA: Wavelet Scattering Autoencoders for Unsupervised Offline Detection of Malicious Clients in Federated Learning

arXiv:2610.13186v1 Announce Type: new Abstract: Federated Learning (FL) enables collaborative model training without exposing raw data, yet remains vulnerable to malicious clients injecting poisoned datasets. Existing defenses are typically reactive (operating during training) or supervised (requiring prior knowledge of attack types) - assumptions that rarely hold in open-ended IoT deployments. We propose WaSA, a fully unsupervised, offline framework for malicious client detection. Before training, each client transmits a single, privacy-preserving spectral summary of its data to the server. A denoising autoencoder, trained solely on clean auxiliary data, scores clients based on their deviation from the learned benign manifold, identifying corruptions regardless of the attack type. WaSA requires no attack labels, generalizes to unseen anomalies, and introduces a Boltzmann sampling strategy for client selection that smoothly interpolates between hard exclusion and standard aggregation. Experiments on MNIST, CIFAR-10, and CIFAR-100 under diverse attack scenarios (up to 90 % malicious clients) demonstrate consistent improvements over supervised baselines and robust aggregation methods, with negligible communication overhead. Code is available at https://github.com/alelicciardi99/wavelet_autoencoders_malicious.

arXiv cs.LG74

通过合成自蒸馏对小模型进行持续后训练

arXiv:2610.13113v1 公告类型:新提交 摘要:持续后训练面临能力习得与知识保留的双重挑战:模型必须在学习新能力的同时保留已有知识。尽管自蒸馏微调(SDFT)利用上下文示例进行自监督来缓解这一问题,但它依赖于较强的上下文学习和指令遵循能力。因此,SDFT 在对低延迟、端侧应用至关重要的小模型上失效。为使较小规模的模型能够持续学习,我们首先确定了失效的根本原因。我们表明,能力习得不佳和知识遗忘与后训练模型的分布偏移呈线性相关,揭示了分布内学习的必要性。因此,我们提出合成自蒸馏(SynthSelf),将改写任务交由规模仅略大、同系列的对齐模型完成,以模仿 SDFT 的分布内改写。结合离策略监督和拒绝采样,这种方法能够在不破坏小模型原始分布的前提下,提供其所需的高质量监督。在 4 个能力习得数据集(包括一个混合数据集)和 14 个知识保留基准上的评估表明,SynthSelf 在 3 种小模型规模上均持续优于 6 种方法(包括离策略蒸馏和同策略蒸馏)。大量进一步分析证实,SynthSelf 为有效实现小模型持续学习铺平了道路。

arXiv cs.LG75

通过迭代细化扩展 RNA 基础模型

arXiv:2610.13106v1 公告类型:新论文 摘要:RNA 的生物学功能编码于从局部序列基序到长程结构依赖的多个尺度之中。传统 RNA 基础模型在固定架构内将参数容量与推理深度耦合,为每次推理规定固定的计算图。本文提出 Eco-RNA,这是一个拥有 8000 万参数的 RNA 基础模型,通过学习到的迭代细化机制实现推理深度的可调节性。其共享的、以输入为条件的 Transformer 核心通过反复应用来细化序列表示。迭代次数在训练后选定,可在模型参数固定的情况下控制有效深度。我们在不同循环深度下开展训练,采用掩码重建、状态正则化,以及将更深层重建锚定于浅层参考的单侧损失。在包含 70 项测定的 RNAGym 适应度基准上,将细化次数从一次增加到四次,可使汇总的 Spearman 相关系数绝对值从 0.242 提升至 0.286,且这一增益在迭代次数增加至八次时仍得以保持。在四次迭代下,尽管参数量仅为当前最先进模型 Evo 2 40B 的 1/500,Eco-RNA 在全部三项汇总适应度指标上均超越了该模型。其不同迭代配置推进了受评模型的计算量—性能帕累托前沿。它还在非编码 RNA 家族分类、RNA 二级结构预测及化学探测谱预测任务中优于受评基线模型。这些结果确立了内部推理计算作为 RNA 基础模型有效扩展维度的价值。

arXiv cs.LG71

Can Failed Trajectories Reveal Where Agents Go Wrong? Agentic Failure Attribution Without Step-Level Labels

arXiv:2610.13105v1 Announce Type: new Abstract: Failure attribution for LLM agents aims to identify decisive steps responsible for task failure, which is critical for debugging and improving agentic systems. Existing methods rely on costly LLM prompting, step-level error annotations, or verified successful trajectories that lack failure signals for assistance. In this paper, we study failure attribution from step-unlabeled failure trajectories, where each trajectory is known to have failed but its decisive step is unknown. We propose SOAP (Spectral scOring with Attention-guided Propagation), an effective framework requiring neither step-level training labels nor a separate success-only reference set. SOAP first constructs a spectral reference space from LLM representations and assigns each step a base error score according to its projection behavior. Importantly, later steps may exhibit stronger failure signals because they inherit an earlier mistake, causing independent scorers to favor downstream consequences over the decisive error. To address this downstream contamination, SOAP derives soft step dependencies from attention patterns and propagates downstream error evidence toward its likely upstream sources. Extensive experiments show that SOAP consistently improves attribution performance over competitive baselines.

arXiv cs.LG64

Human and LLM Facilitation in Collaborative Design Meetings: A Computational Behavioral Comparison

arXiv:2610.13082v1 Announce Type: new Abstract: Large language models (LLMs) are increasingly being explored as facilitators of group discussion and collaborative work, but the behavioral differences between LLM-generated and human facilitation remain insufficiently characterized. We compare human Project Manager facilitation turns from scenario-based collaborative design meetings with Llama 3.1 8B Instruct responses across 199 paired contexts from the AMI Meeting Corpus. The analysis covers five confirmatory dimensions: contextual semantic distance, a lexical elaboration proxy, empathyand-hedge lexical density, topic divergence, and phase-vocabulary alignment. An exploratory directiveness measure failed domain validation and is not interpreted. The sampled human Project Manager turns were higher on contextual semantic distance (r = 0.644) and on empathyand-hedge lexical density (r = 0.203). The second contrast is carried mainly by hedge terms, so we read it as lexical hedging rather than psychological empathy. Llama-generated facilitation was higher on topic divergence (r = 0.703), the lexical elaboration proxy (r = 0.288; lengthconfounded), and instruction-conditioned phase-vocabulary alignment (r = 0.382). A secondary no-phase check left the Llama-higher phase contrast in place. The system prompt still requested a facilitation move, so that check is not evidence of spontaneous phase awareness. These differences should not be interpreted as a ranking of facilitation quality. The resulting behavioral profile provides a reference point for later comparisons of LLM facilitators, human facilitators, prompts, models, and collaborative settings.

arXiv cs.LG75

Double-Take:提升双向记忆在长上下文中的容量、绑定能力与选择性

arXiv:2610.13073v1 公告类型:新论文 摘要:能够处理长序列,并不意味着远距离信息仍然可用。随着上下文增长,固定大小的记忆必须保留大量关联、连接不同位置的信息,并保留相关结构,同时避免被所观察到的全部信息淹没。这些是彼此不同的要求:记忆可能存储了更多信息,却没有表征检索所需的关系;也可能传递了这些关系,却未能保留其中重要的关系。因此,挑战不仅在于扩展上下文长度,更在于构建一种在上下文增长时仍然可用的记忆。我们在大分块测试时训练(TTT)中研究这一问题,并发现了两种基本失效模式:单步写入会累积干扰,从而限制容量;自关联写入则无法形成跨位置绑定。我们提出 Double-Take(DT),通过多步非锚定更新和跨位置混合修复这些问题,并引入对变化敏感的双向写入机制,以实现选择性保留。仅提升容量时,端到端召回率仍停留在 $0.10$ 的随机猜测基线;加入绑定机制后,召回率提升至 $0.92$。DT 仅在 $32\,\mathrm{kb}$ 的基因组上下文上训练,便在 $131\,\mathrm{kb}$ 的上下文上达到 $0.927$ 的 AUROC,在接近 $1\,\mathrm{Mb}$ 的上下文上达到 $0.856$,同时实现了从人类到小鼠的零样本迁移。这些结果共同表明,容量、绑定能力和选择性是构建可用长程记忆的三项必要条件。

arXiv cs.LG71

CB-Orchestrator: Adaptive Workflow Optimization for LLM Agents via Contextual Bandits

arXiv:2610.13064v1 Announce Type: new Abstract: Large Language Model (LLM) agents have demonstrated remarkable capabilities in tackling complex tasks through agentic workflows. However, manually designing these workflows is labor-intensive and lacks flexibility to adapt to diverse queries. While automated workflow optimization is a promising direction, existing methods often incur expensive API costs during training-phase feedback collection. Furthermore, they fail to adaptively reuse high-quality workflows, which creates a bottleneck for both performance and cost-effectiveness. To address these limitations, we propose CB-Orchestrator, an adaptive framework that decouples workflow generation from selection. In the first stage, we construct a diverse pool of candidate workflows via evolutionary search. In the second stage, we formulate workflow selection as a Contextual Bandit problem, which enables sample-efficient learning by balancing exploration and exploitation, thereby significantly reducing the feedback required for training. During inference, the model adaptively selects the optimal workflow tailored to each query. Evaluations across five diverse benchmarks demonstrate that CB-Orchestrator consistently outperforms all baselines. Notably, on the MATH dataset, CB-Orchestrator achieves better performance than strong recent baselines while reducing training-phase API token overhead by no less than 40.55% and total end-to-end training (including workflow pool generation) token overhead by no less than 29.73%.

arXiv cs.LG79

迈向更易调参的训练算法:AlgoPerf 的新结果

arXiv:2610.13036v1 公告类型:新论文 摘要:评估深度学习优化器具有挑战性,因为超参数调优、优化器与模型的协同设计等混杂因素往往会掩盖算法的真实性能。我们展示了更新后的 AlgoPerf V1 基准测试结果,在固定硬件上,以达到目标所需的实际运行时间为指标,对一组新的训练算法在九种工作负载上的表现进行了评估。本报告重点介绍该基准测试中自调优规则集的结果,该规则集要求参赛方案在所有工作负载中使用同一套配置。在使用 PyTorch 和 JAX 的 13 个参赛方案中,Schedule-Free AdamW 排名第一。除实际运行时间得分外,我们还分析了迭代步效率与实际运行时间之间的权衡,发现采用矩阵预条件的方法和双循环方法具有良好的样本效率,但需要更大力度的计算优化,才能在运行时间上具备竞争力。最后,我们对超参数显著性和保留情况的分析表明,学习率和动量在不同领域和算法中均表现出高度敏感性,这凸显了开发对超参数调优更具鲁棒性、且能良好泛化到新任务的方法的必要性。

arXiv cs.LG73

用于轨迹外推的目标约束池化

arXiv:2610.13034v1 公告类型:新提交 摘要:根据部分目标轨迹进行轨迹外推是欠定问题,但已完成的相关轨迹可为尚未确定的后续轨迹提供信息。我们提出目标约束池化(TCP),将有限时域的终点与后续轨迹形状分离,并根据两种互补的源信号估计该终点。均匀池化捕捉最终响应水平,而匹配增量池化则在对齐源状态与目标状态后捕捉剩余变化。TCP 选择具有代表性的源轨迹,将两种终点估计投影到与目标一致的区域,将其转换为对无约束预测的修正,并通过强度校准和退化感知加权控制其影响。在来自五个领域、涵盖两个预测方向的 25,245 个目标上,TCP 将全部十种仅基于目标的预测器的平均 RMSE 降低了 35.8% 至 42.1%,并在预测器、数据集和方向的全部 100 组比较中取得改进。两种终点信号的联合使用始终优于单独使用任一种信号;同时,代表性选择仅使用完整供体池 1/12.7 的供体输入和 1/138.8 的匹配距离计算量,与完整供体池的性能差距仍保持在 0.64% 至 1.02% 之间。

arXiv cs.LG74

用于可解释算子学习的低秩 Kolmogorov-Arnold 生成元流

arXiv:2610.13028v1 公告类型:新论文 摘要:从数据中学习物理定律的神经算子应当能够泛化到训练分布之外,并以闭式形式呈现所学定律。Kolmogorov-Arnold 神经算子通过学习覆盖所有位置和频率的稠密伪微分符号,在位置依赖动力学中实现了这两个目标,但其计算成本随分辨率的平方增长,且闭式表达式必须手动提取。这种稠密符号并无必要:有限阶变系数微分算子的符号,其分离秩以系数函数的数量为上界,与分辨率无关;而该网络在其自身基准测试中学到的符号的秩仅为二。我们提出 Kolmogorov-Arnold flow(KAFlow),将物理算子的生成元学习为由一元 Kolmogorov-Arnold 函数构成的低秩符号,通过固定这些函数的规范,使每一项都有唯一的归属,使用精确指数积分器对动力学进行积分,并自动提炼其闭式表达式。在 Kolmogorov-Arnold 神经算子的合成基准测试中,KAFlow 将分布外损失降至原来的 1/3.4 至 1/11,无需符号模板即可将每个系数的恢复误差控制在 10^-4 以内,达到数据的精度极限。在长时域量子动力学中,它将量子态的不保真度最多降低 6 个数量级;即使仅使用位置和动量测量结果进行训练,也能将其降至原来的 1/30。KAFlow 学习变阶分数阶算子的精度还比现有算子网络高 15 倍,并能发现稀疏回归无法识别的非局域、分数阶和非多项式色散关系。

arXiv cs.LG73

轨迹感知策略优化:弥合长时域 LLM 强化学习中的状态分布差距

arXiv:2610.13020v1 公告类型:新论文 摘要:强化学习(RL)已成为增强 LLM 推理能力的主流范式。然而,长时域自回归轨迹采样带来了一项根本性局限:局部策略失配会沿轨迹累积,造成严重的状态分布偏移。现有 LLM RL 方法(如 GRPO 和 GSPO)在词元或序列层面控制策略失配,却忽视了这种由轨迹引起的偏移,导致训练不稳定,并随着时域延长而最终崩溃。为弥合状态分布差距,我们提出 Trajectory-Aware Policy Optimization(TAPO),这一框架具有坚实的理论基础,从离策略策略梯度出发,在理论上推导出状态分布校正项,并将其纳入 RL 目标函数。TAPO 进一步采用几何平均估计器来降低方差,同时结合长度感知的动态裁剪,防止整条轨迹上的更新偏离过大。大量实验表明,TAPO 在八项竞赛级基准测试中显著优于现有 LLM RL 算法,相比 GRPO,在数学推理和算法编程任务上分别取得最高 48% 和 12% 的提升,同时大幅增强了训练稳定性。

arXiv cs.LG75

广义近端策略优化:从散度视角统一 LLM 强化学习算法

arXiv:2610.13015v1 公告类型:新提交 摘要:强化学习已成为增强 LLM 推理能力的基础范式。然而,主流方法近端策略优化(PPO)依赖于一种几何退化的裁剪代理目标,无法自适应地调整对策略偏移的阻力,导致过早裁剪和探索能力下降。后续变体通过零散的启发式修改缓解了这些问题。我们提出广义近端策略优化(GPPO),这是一个原理清晰的统一框架,用于从散度视角理解和设计 LLM 强化学习算法。我们建立了具有性能单调改进保证的广义 $f$-散度信赖域理论,并表明不同的 $f$-散度会诱导不同的几何结构和策略更新动力学。我们进一步引入了新颖的估计器拓扑结构,相较于传统的单样本蒙特卡洛估计,能够提供更忠实的散度估计。在这一框架下,PPO 及 DAPO、DPPO 和 RIPO 等近期变体均可视为特例,由此建立了具有理论依据的 {散度 $\times$ 估计器} 二维设计空间。在八个竞赛级数学和编程基准上的广泛实验表明,这两个维度都至关重要。表现最佳的 GPPO 实例在数学和编程任务上分别比标准 GRPO 提升最高 50% 和 14%,达到当前最先进的性能水平。

arXiv cs.LG58

Evidential Multimodal Transformers with Dempster-Shafer Fusion for Emotion Recognition

arXiv:2610.13013v1 Announce Type: new Abstract: Softmax-based multimodal emotion recognition methods often assign high confidence even when sensor data are corrupted or contradictory, for example when facial expressions suggest positive valence while vocal prosody indicates negative arousal. We present an Evidential Multimodal Transformer with Dempster-Shafer Fusion (EMT-DS) that addresses this problem through formal uncertainty quantification. EMT-DS models predictions as Subjective Opinions (Dirichlet distributions), separating epistemic uncertainty (lack of evidence) from aleatoric uncertainty (sensor noise). Modality-specific transformer encoders produce belief mass distributions that are fused with Dempster's Rule of Combination, which normalizes the joint belief mass by a conflict coefficient 1/(1-c), so that contradictory evidence is explicitly quantified as conflict and the fused prediction becomes diffuse rather than being forced into an unjustified consensus. Under subject-independent and speaker-independent evaluation on four benchmarks, EMT-DS achieves 84.3% accuracy on IEMOCAP versus 81.7% for the best baseline (p < 0.01), 82.4% on DEAP under leave-one-subject-out evaluation versus 78.1%, and 96.8% on the highly imbalanced KEMDy20, and it improves accuracy on CMU-MOSEI by 2.4 points over the strongest evidential baseline. In controlled ablation, it reduces Expected Calibration Error from 0.153 (softmax transformer) to 0.042. It maintains 71.2% accuracy under severe Gaussian noise on audio features (sigma = 1.0), where attention baselines drop to 45.3%, and degrades gracefully when entire modalities are absent. The fusion step has O(MK^2) complexity, compared with O(M^2 d^2) for cross-modal attention. The learned conflict metric also flags likely errors: reviewing 20% of samples captures 80% of misclassifications, which supports selective prediction in clinical and safety-critical systems.

arXiv cs.LG67

Gaussian-Width Bounds for Offline-to-Online Linear Bandits

arXiv:2610.12990v1 Announce Type: new Abstract: We study how offline data can help online learning in stochastic linear bandits. We focus on partially covered offline data, where only $k$ of the $d$ feature directions are poorly covered. Existing analyses of algorithms based on phased elimination and optimism give regret bounds of order $\widetilde O(\sqrt{dkT})$ in this regime. We show that this dependence arises from loose control of the reward prediction error, and obtain tighter bounds using concentration of Lipschitz functions of Gaussian vectors. Based on this analysis, we develop a phased elimination algorithm with regret $\widetilde O(k\sqrt T)$. For the unit Euclidean ball, we prove a matching regret lower bound under partial coverage, as well as matching upper and lower bounds under uniform offline coverage. We also study pure exploration with offline data, providing algorithms and matching upper and lower bounds on simple regret for fixed-design algorithms and also for adaptive algorithms under partial and uniform coverage of offline data.

arXiv cs.LG80

结合中期天气预报的扩散式降水生成

arXiv:2610.12976v1 公告类型:新论文 摘要:准确的日降水预报对天气敏感型决策至关重要。尽管近期天气基础模型(WFMs)取得了显著进展,但它们使用再分析数据进行训练,而这类数据存在随区域和降水强度而变化的偏差。由于基于观测目标重新训练 WFMs 的成本高昂,我们研究了 Dynamics-Precipitation Decoupling,这是一种即插即用框架,利用单独训练的生成器,将冻结天气模型输出的非降水预报映射为与观测一致的日降水。其关键挑战在于捕捉异质性降雨分布,并使日累计降水与随时空演变的大气信号相匹配。为应对这些挑战,我们以大气状态为条件,利用卫星与雨量计融合降水估计训练扩散生成器。多尺度循环编码器概括大气演变过程,交叉注意力则在去噪过程中对齐大气特征与降水特征。针对 Pangu-Weather、GraphCast 和 HRES 等多种骨干模型开展的全球及区域预报广泛评估表明,该方法提高了日降水预报准确性和事件检测能力,并能更好地表征局地累计降水分布。全球集合预报评估显示,在所有报告的预报时效下,该方法的 Brier 评分均低于 ENS 和从头训练的 GenCast,且在大多数比较中具有更低的 CRPS。值得注意的是,一项利用中国 2,288 个站点开展的强降雨个例研究,通过与地面观测对比,进一步证实了该方法在日累计降水分布表征和事件检测方面的改进。

arXiv cs.LG65

DataCupid: Stable Matching Repair for Training Data Acquisition with Delayed Feedback

arXiv:2610.12960v1 Announce Type: new Abstract: Matching repair after utility changes can reuse valid observations, but new evaluations must respect matching capacity and may return out of order. We study announced invalidations with bounded, possibly reward-dependent reporting delays and pending evaluations that do not occupy future matching capacity. Residualload repair (RLR) combines sound outcome certificates with batched matching schedules for unequal sample deficits. Its complete dyadic quota schedule admits a sharp issue-round bound with coefficient cb < 1.607 relative to the terminal residual endpoint load, together with separate delay and evidence-lifetime bounds. RLR-P monitors complete issue-order prefixes without changing the sampling plan before acceptance. With a deterministic pure oracle, a single-repair coupling from the same drained initial state guarantees no increase in certification time, issued observations, or time to a reusable checkpoint. We also derive an information-load lower bound. On fixed priority-star markets with unknown Bernoulli gaps, PrioritySearch attains the history-adjusted first-order constant for expected certification time as {\delta} {\sim} 0, under hypothesis-independent linear history scaling and sublogarithmic reporting delays. Paired simulations and measured-feedback replay quantify the trade-offs: in the replay, RLR-P has lower mean capped update-certification time than a monitored width-based baseline, at higher oracle CPU cost.

arXiv cs.LG70

Controlled-Minimax: Stabilizing Adversarial Optimization via Control Theory

arXiv:2610.12915v1 Announce Type: new Abstract: Minimax optimization is fundamental to adversarial learning yet suffers from severe stability challenges, often manifesting as persistent limit cycles or divergence. This paper investigates these instabilities through the lens of continuous-time dynamical systems. By modeling training dynamics as a second-order Ordinary Differential Equation (ODE), we rigorously identify the root cause of non-convergence: the problematic eigenstructure of the loss function's Hessian near equilibrium points. To address this, we introduce Controlled-Minimax, a novel stabilization framework that reformulates the optimization trajectory as a controllable physical system. Unlike heuristic regularization techniques, our approach derives a specific feedback controller that provides theoretical guarantees of local exponential stability, regardless of the underlying Hessian spectrum. Consequently, our method stabilizes general minimax problems where traditional gradient descent-ascent methods fail. Extensive experiments on pathological benchmarks including the Dirac-GAN, 2D Gaussian mixtures, and Swiss Roll datasets, as well as high-resolution image synthesis with StyleGAN2-ada, demonstrate that Controlled-Minimax effectively suppresses oscillatory behavior while ensuring fast and robust convergence.

arXiv cs.LG71

GIST: Generator-state-Informed Supervision for Tabular Foundation Models

arXiv:2610.12904v1 Announce Type: new Abstract: Tabular foundation models (TFMs) based on prior-data fitted networks typically use sampled hard query labels, leaving avoidable sampling variability in pretraining. A key observation is that intermediate generator states can reveal label uncertainty beyond a sampled outcome. We propose Generator-state-Informed Supervision for TFMs (GIST), which uses these states to average query losses over conditional label distributions. GIST jointly designs task generation and query supervision, using entropy-calibrated encodings to obtain tractable, input-consistent targets on supported label-dependent branches. We show that this averaging preserves the population objective and yields no larger gradient covariance at fixed parameters within each generating distribution. Under matched pretraining schedules, GIST improves mean rank across three architectures on both TabArena and TALENT without changing architecture or inference. Across these benchmarks and architectures, GIST wins 62.1% of paired dataset-level comparisons against the corresponding hard-label controls.