INI-VPINN is a variational physics-informed neural network that implicitly enforces Neumann and interface conditions using compact support weighting functions and integration by parts. It achieves higher accuracy and faster convergence than existing PINN methods in solving multi-material problems with geometric singularities and mixed boundary conditions, and is publicly available on GitHub.
Volterra generative models propose a continuous-time score-based framework using fractional kernels to inject path-dependent noise, avoiding memoryless noising in traditional diffusion models. The approach introduces finite-dimensional Markovian lifts and proves squared error bounds, demonstrating improved generation on MNIST and potential for natural images, with a bridge sampler enhancing stability for larger models.
TSCD uses covariance matrices from observational and interventional data to identify causal structures in linear structural equation models on DAGs. It requires only uncorrelated noise and achieves identifiable causal orders and parameters with logarithmic intervention counts, scaling to hundreds of variables while remaining robust to noise and competitive with existing methods.
Edge Flow is a tractable, predictive continuous-time model that captures gradient descent dynamics at the edge of stability. It decomposes dynamics into center, oscillation direction, and magnitude, with self-stabilization of sharpness emerging from coupled feedback. The model requires only two gradient evaluations and one Hessian-vector product per iteration and outperforms prior models in tracking oscillations and explaining instabilities at EoS.
A hierarchical latent selection model shows that supervised fine-tuning and reinforcement learning work together to enable compositional generalization in language models. SFT provides raw module materials, while RL identifies and recombines atomic modules from compound traces to solve new problems. Training on compound traces leads to stronger generalization than isolated module training, and an effective protocol is found where SFT ensures module coverage and RL drives exploration of novel compositions.
S4oP introduces an incremental, operator-level pruning method for S4 and S4D models, reducing inference cost by up to 70% while maintaining predictive performance. The approach combines structured masking with fine-tuning and jointly tracks accuracy and latency, enabling efficient deployment of SSMs on resource-constrained devices.
This paper proposes SD-ZFS, a deep reinforcement learning framework adapted from S2V-DQN, to solve the NP-hard minimum zero-forcing set problem on undirected graphs. The framework demonstrates strong performance compared to optimal solutions and greedy heuristics, showing effective generalization, scalability, and transfer across diverse graph structures.
The paper introduces a framework for multi-policy multi-objective reinforcement learning that learns a set of Pareto-optimal policies ensuring fairness across diverse user preferences. It proves fair policies remain within the convex coverage set for concave welfare functions and proposes three algorithms that incorporate non-stationary and stochastic policy dynamics. Empirical results show these methods effectively learn fair policies adaptable to varying user preferences.
Ternary Mamba achieves 3.61x compression of Mamba-2 from 2,687 to 744 MB using grouped quantization-aware training with knowledge distillation. It reaches 48.1% zero-shot accuracy on 7 tasks in 102M tokens, matching Bi-Mamba within 0.9 percentage points, while avoiding costly from-scratch training.
A new convex quasilinearization method, LiL-Q, solves nonlinear PDEs by reducing them to linear subproblems using physics-informed neural networks. LiL-Q converges in single-digit iterations across seven benchmarks, achieving machine precision when the exact solution lies in the trial space, and requires up to two orders of magnitude fewer parameters than standard PINN solvers.
A stochastic differential equation model is introduced for linear TD(0) learning under Markovian noise. It separates contraction dynamics from sampling effects and explains the error floor via interaction between long-run covariance and the projected Bellman operator's geometry.
Looped World Models (LoopWM) introduce a looped architecture that iteratively refines latent environment states using a parameter-shared transformer. This approach achieves up to 100x parameter efficiency over conventional world models by adapting computation depth to each prediction step. LoopWM establishes iterative latent depth as a new scaling dimension for world simulation.
SkillWeaver introduces a decompose-retrieve-compose framework for LLM agents, formalizing the Compositional Skill Routing problem. It achieves 67.7% decomposition accuracy via Iterative Skill-Aware Decomposition (SAD), improving from 51.0% with a p-value of less than 10^-6, and reduces context window usage by over 99%.
ConSA introduces a framework that learns optimal full vs. sliding-window attention allocation using L0 regularization and augmented Lagrangian constraints. It outperforms rule-based methods, with SWA placed in bottom layers and FA concentrated in middle-layer blocks, a pattern consistent across model scales and sparsity levels.
d-OPSD is the first on-policy self-distillation framework designed for diffusion LLMs. It uses self-generated answers as suffix conditioning and step-level supervision, enabling efficient post-training with only about 10% of RLVR's optimization steps while outperforming RLVR and SFT baselines on four reasoning benchmarks.
Looped World Models (LoopWM) introduce a looped architecture that iteratively refines latent environment states using a parameter-shared transformer. This approach achieves up to 100x parameter efficiency over conventional world models by adapting computation depth to each prediction step, offering a new scaling dimension for world simulation.
Zone of Proximal Policy Optimization (ZPPO) integrates teacher knowledge directly into prompts rather than policy gradients. It uses Binary and Negative Candidate-included Questions to surface student failure modes and amplifies learning through a prompt replay buffer, achieving superior performance on hard questions across student scales, especially at smaller model sizes.
A new \times-shaped transformer architecture allocates varying layer widths, widening early and late layers while narrowing middle ones. It reduces average layer width, leading to 22% fewer FLOPs and 15% less KV cache memory, while outperforming uniform baselines on language modeling loss across 200M to 2B parameter models.
MGUP introduces a selective update mechanism that applies larger step-sizes to a fixed proportion of parameters in stochastic optimization, while using smaller, non-zero step-sizes for the rest. It integrates seamlessly with optimizers like AdamW, Lion, and Muon, providing theoretical convergence guarantees for MGUP-AdamW and demonstrating superior or more stable performance in training large language models and MAE pretraining tasks.
ReLAR introduces a reinforcement-guided framework that iteratively refines hidden states to improve LLM reasoning stability. It uses learned depth and action controllers trained via policy gradients to adaptively determine refinement steps, achieving better accuracy and generation quality with lower inference overhead than explicit reasoning methods.