Significant progress has been made inthepast decade thanks to the availability of pedestrian trajectory datasets, which enable trajectory prediction methods to learn from pedestrians' past movements and predict future trajectories. However, these datasets and methods typically assume that theobservedtrajectory sequence iscomplete, ignoring real-world issues such as sensor failure, occlusion, and limited fields of view that can result in missing valuesinobservedtrajectories.

Diffusion models, though successful, are known to suffer from hallucinations that create incoherent or unrealistic samples. Recent works have attributed this to the phenomenon of mode interpolation and score smoothening, but they lack a method to prevent their generation during sampling. In this paper, we propose a post-hoc adjustment to the score function during inference that leverages the Laplacian (or sharpness) of the score to reduce mode interpolation hallucination in unconditional diffusion models across 1D, 2D, and high-dimensional image data. We derive an efficient Laplacian approximation for higher dimensions using a finite-difference variant of the Hutchinson trace estimator. We show that this correction significantly reduces the rate of hallucinated samples across toy 1D/2D distributions and a high-dimensional image dataset. Furthermore, our analysis explores the relationship between the Laplacian and uncertainty in the score.

Datasets and code files are publicly accessible at Link. Our dataset will be hosted on both the GitHub and cloud storage drive. Code for the TimesNet Link Code for the SAITS Link 5.2 Trajectory Prediction Codes The following are the codes for the trajectory prediction methods used in our work. The dataset is primarily created by an academic team (students and faculty). The data statistics are shown in Section 4 of the main paper.

Significant progress has been made in the past decade thanks to the availability of pedestrian trajectory datasets, which enable trajectory prediction methods to learn from pedestrians' past movements and predict future trajectories.

--Control Barrier Functions (CBFs) are utilized to ensure the safety of control systems. CBFs act as safety filters in order to provide safety guarantees without compromising system performance. These safety guarantees rely on the construction of valid CBFs. Due to their complexity, CBFs can be represented by neural networks, known as neural CBFs (NCBFs). Existing works on the verification of the NCBF focus on the synthesis and verification of NCBFs in deterministic settings, leaving the stochastic NCBFs (SNCBFs) less studied. In this work, we propose a verifiably safe synthesis for SNCBFs. We consider the cases of smooth SNCBFs with twice-differentiable activation functions and SNCBFs that utilize the Rectified Linear Unit or ReLU activation function. We propose a verification-free synthesis framework for smooth SNCBFs and a verification-in-the-loop synthesis framework for both smooth and ReLU SNCBFs. Safety is one of the fundamental properties required for control systems, especially those that interact with humans and critical infrastructures. Safety violations could lead to catastrophic damage to robots, harm to humans, and economic loss [1], [2]. The safety requirements of these systems, with applications including medicine, energy, and robotics [3], have motivated recent research to design safe control policies. Safety requirements can be formulated as the positive invariance of a given safe region, meaning the system remains in the safe region for all time [4]. V arious approaches for safety-critical control have been proposed, including Hamilton-Jacobi Reachability (HJR) analysis [5]-[7] and safe reinforcement learning (RL) [8]-[10].

In real-world reinforcement learning (RL) scenarios, agents often encounter partial observability, where incomplete or noisy information obscures the true state of the environment. Partially Observable Markov Decision Processes (POMDPs) are commonly used to model these environments, but effective performance requires memory mechanisms to utilise past observations. While recurrence networks have traditionally addressed this need, transformer-based models have recently shown improved sample efficiency in RL tasks. However, their application to POMDPs remains underdeveloped, and their real-world deployment is constrained due to the high parameter count. This work introduces a novel bi-recurrent model architecture that improves sample efficiency and reduces model parameter count in POMDP scenarios. The architecture replaces the multiple feed forward layers with a single layer of bi-directional recurrence unit to better capture and utilize sequential dependencies and contextual information. This approach improves the model's ability to handle partial observability and increases sample efficiency, enabling effective learning from comparatively fewer interactions. To evaluate the performance of the proposed model architecture, experiments were conducted on a total of 23 POMDP environments. The proposed model architecture outperforms existing transformer-based, attention-based, and recurrence-based methods by a margin ranging from 87.39% to 482.04% on average across the 23 POMDP environments.

Tree-Ring Watermarking is a significant technique for authenticating AI-generated images. However, its effectiveness in rectified flow-based models remains unexplored, particularly given the inherent challenges of these models with noise latent inversion. Through extensive experimentation, we evaluated and compared the detection and separability of watermarks between SD 2.1 and FLUX.1-dev models. By analyzing various text guidance configurations and augmentation attacks, we demonstrate how inversion limitations affect both watermark recovery and the statistical separation between watermarked and unwatermarked images. Our findings provide valuable insights into the current limitations of Tree-Ring Watermarking in the current SOTA models and highlight the critical need for improved inversion methods to achieve reliable watermark detection and separability. The official implementation, dataset release and all experimental results are available at this \href{https://github.com/dsgiitr/flux-watermarking}{\textbf{link}}.

Reinforcement learning from human feedback (RLHF) has emerged as the primary method for aligning large language models (LLMs) with human preferences. While it enables LLMs to achieve human-level alignment, it often incurs significant computational and financial costs due to its reliance on training external reward models or human-labeled preferences. In this work, we propose Implicit Preference Optimization (IPO), an alternative approach that leverages generative LLMs as preference classifiers, thereby reducing the dependence on external human feedback or reward models to obtain preferences. We conduct a comprehensive evaluation on the preference classification ability of LLMs using RewardBench, assessing models across different sizes, architectures, and training levels to validate our hypothesis. Furthermore, we investigate the self-improvement capabilities of LLMs by generating multiple responses for a given instruction and employing the model itself as a preference classifier for Direct Preference Optimization (DPO)-based training. Our findings demonstrate that models trained through IPO achieve performance comparable to those utilizing state-of-the-art reward models for obtaining preferences.

Generating diverse solutions is key to human-like reasoning, yet autoregres-sive language models focus on single accurate responses, limiting creativity. Our case study shows their limited zero-shot transferability by fine-tuning small and medium-sized large language models on the Game of 24 and testing them on the Game of 42 datasets. Results revealed that GFlowNets struggle to maintain solution diversity and accuracy, highlighting key limitations in their cross-task generalization and the need for future research in improved transfer learning capabilities. Recent advances have introduced approaches showing significant improvement in LLM reasoning capabilities (Touvron et al., 2023a), including supervised fine-tuning with synthetic datasets (Y u et al.; Y ue et al.), modified decoding mechanisms (Holtzman et al.; Nguyen et al., 2024), and enhanced pretraining data quality (Akter et al., 2024; Trinh et al., 2024). While these approaches demonstrate improved accuracy, they rarely account for the diversity of correct solutions, an essential aspect of human-like reasoning and creativity (Y u et al., 2024a; Hu et al.).

Zero-Input AI (ZIA) introduces a novel framework for human-computer interaction by enabling proactive intent prediction without explicit user commands. It integrates gaze tracking, bio-signals (EEG, heart rate), and contextual data (time, location, usage history) into a multi-modal model for real-time inference, targeting <100 ms latency. The proposed architecture employs a transformer-based model with cross-modal attention, variational Bayesian inference for uncertainty estimation, and reinforcement learning for adaptive optimization. To support deployment on edge devices (CPUs, TPUs, NPUs), ZIA utilizes quantization, weight pruning, and linear attention to reduce complexity from quadratic to linear with sequence length. Theoretical analysis establishes an information-theoretic bound on prediction error and demonstrates how multi-modal fusion improves accuracy over single-modal approaches. Expected performance suggests 85-90% accuracy with EEG integration and 60-100 ms inference latency. ZIA provides a scalable, privacy-preserving framework for accessibility, healthcare, and consumer applications, advancing AI toward anticipatory intelligence.