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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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48 results for formal safety analysis

This paper formalizes AI safety using hypothesis testing in GenAI.

problem Ensuring safety of generative AI tools that create realistic content.
method Formalization of computational safety through hypothesis testing and signal processing.
result Demonstrates how AI safety can be assessed quantitatively using mathematical frameworks.

Quantifier elimination enhances safety assurance of deep neural networks.

problem Rigorously assure safe operation of sophisticated, autonomous systems like DNNs.
method Use quantifier elimination as a formal method to enhance safety assurance.
result Initial results show QE can precisely analyze robustness of DNNs.

Formal constraints improve RL safety in complex environments.

problem Safety constraints in reinforcement learning for complex environments.
method Specify constraints in formal languages, instantiate as finite automata, augment MDP states, learn dense cost function.
result Improved safety in training RL algorithms over various constraints.

This paper explores formal verification for autonomous systems, identifying limitations and proposing improvements.

problem Ensuring safety of autonomous systems like self-driving cars and drones.
method Formal verification techniques based on formal methods, analyzing three assumptions and their limitations.
result Preliminary work to improve the strength of evidence provided by formal verification.

VerifAI toolkit improves neural network-based aircraft taxiing system safety.

problem Improving safety of autonomous aircraft taxiing systems using neural networks.
method Unified approach to formal analysis and retraining of AI systems, including falsification, debugging, and retraining.
result Improved neural network performance and reduced failure cases in aircraft taxiing system.

New framework formalizes RLHF trilemma: improving safety, fairness, and robustness is computationally infeasible.

problem Aligning large language models with diverse human values while maintaining computational feasibility and robustness.
method Complexity-theoretic analysis integrating statistical learning theory and robust optimization.
result Achieving both representativeness (epsilon <= 0.01) and robustness (delta <= 0.001) for global-scale populations requires super-polynomial operations.

PEREGRiNN verifies safety of ReLU NNs by penalizing relaxation in a greedy manner.

problem Formal verification of safety specifications for ReLU NNs.
method Uses a relaxed convex program to verify polytopic input/output constraints, penalizing relaxation and forcing largest relaxations to early layers.
result Significantly faster and more properties verified compared to other approaches.

Safe imitation learning with a safety layer for flexible training.

problem Flexible yet safe imitation learning for complex tasks.
method Theory and modular method with a safety layer for continuous policy, adversarial training, and worst-case safety guarantees.
result Robustness advantage of safety layer during training compared to test time.

Paper improves neural network robustness analysis for safety-critical systems.

problem Uncertainty in neural network outputs for safety-critical systems.
method Unified propagation and partition approaches to provide tighter bounds.
result Proposed algorithms give tighter bounds than existing methods for the same computation time.

RL algorithm uses LTL to specify goals for MDPs, ensuring policy satisfaction.

problem Ensuring safety-critical RL policies meet specified goals formally.
method Formulates goals using LTL, translates to LDGBA, shapes synchronous reward function.
result Algorithm synthesizes policies satisfying LTL goals with maximal probability.

New framework verifies reinforcement learning systems without altering neural networks.

problem Lack of assurance guarantees in reinforcement learning applications.
method Repurposes formal verification techniques for reinforcement learning, synthesizing simpler programs that preserve safety.
result Synthesized programs ensure safety of reinforcement learning systems without modifying neural networks.

In recent years, car makers and tech companies have been racing towards self driving cars. It seems that the main parameter in this race is who will have the first car on the road. The goal of this paper is to add to the equation two additional crucial parameters. The first is standardization of safety assurance --- wh…

2017-08-21abs ↗pdf ↗

Framework for safely updating machine learning models.

problem Continuous updates to machine learning models can lead to unintended consequences.
method Formalizes the problem as computing the largest locally invariant domain (LID), uses tractable primal-dual formulation.
result Matches or exceeds heuristic baselines for avoiding forgetting while providing formal safety guarantees.

This work provides safety guarantees for iterative GP predictions.

problem Analytical intractability of uncertainty tracking in iterative GP predictions.
method Deriving formal probability error bounds for iterative GP predictions.
result Formal bounds ensure that GP trajectories lie within specified regions with high probability.

The paper proves neural networks are almost always surjective, impacting model safety.

problem Ensuring neural networks can generate any output, including harmful content.
method Analyzing fundamental neural architectures and generative models.
result Many neural architectures are almost always surjective, allowing for arbitrary outputs.

This paper formalizes Uniswap v3 using PTA and FST for rigorous analysis.

problem Formal modeling of Uniswap v3's concentrated liquidity for rigorous analysis.
method Formal state machine models using PTA and FST, proving rounding bounds.
result Formal justification of Uniswap v3's εε-slack and rounding safety.

Theoretical limits on verifying self-improving systems without risking unbounded utility.

problem Formalizing and proving the limits of safety verification for self-improving systems.
method Developed dual conditions and used Holder's inequality, NP counting method, and Lipschitz bounds to establish impossibility and ceiling results.
result A classifier-based safety gate cannot simultaneously permit unbounded beneficial self-modification and bounded cumulative risk.

Paper reviews robustness in machine learning models and discusses training and certification methods.

problem Ensuring reliability of machine learning models in safety-critical systems.
method Reviews formalisms and discusses training and certification techniques.
result Identifies future research directions in robust machine learning.

FANNet analyzes noise tolerance and training bias in neural networks.

problem Low noise tolerance and input sensitivity in neural networks lead to failures on unseen inputs.
method Formal analysis using model checking under different noise ranges.
result Noise tolerance of ±11%\pm 11\% for the trained network, sensitive input nodes identified, and biasness confirmed.

LPF provides formal guarantees for aggregating multi-evidence in probabilistic tasks.

problem Lack of formal guarantees for multi-evidence reasoning in AI.
method LPF uses variational autoencoders and Sum-Product Networks to aggregate evidence items.
result Proves multiple formal guarantees including calibration preservation and error decay.

A novel approach for safe offline RL using latent safety constraints.

problem Balancing safety constraints and reward maximization in offline RL.
method Conditional Variational Autoencoders for latent safety modeling, Constrained Reward-Return Maximization.
result Our approach maintains safety compliance while optimizing rewards, outperforming existing methods.

Develops a method to simulate rare dangerous events in autonomous systems.

problem Rare dangerous events in safety-critical systems are hard to test in real-world settings.
method Combines exploration, exploitation, and optimization techniques for rare-event simulation.
result Provides rigorous guarantees for the performance of the method.

Safe Bayesian Optimization algorithms are improved to ensure safety in real-world applications.

problem Ensuring safety in Bayesian Optimization algorithms for real-world applications.
method Investigated and improved three safety-related issues of SafeOpt-type algorithms: frequentist uncertainty bounds, RKHS norm assumptions, and discrete search spaces.
result Introduced Real-{eta}-SafeOpt, Lipschitz-only Safe Bayesian Optimization (LoSBO), and Lipschitz-only GP-UCB (LoS-GP-UCB) algorithms that retain safety guarantees and superior performance.

By building on a recently introduced genetic-inspired attribute-based conceptual framework for safety risk analysis, we propose a novel methodology to compute construction univariate and bivariate construction safety risk at a situational level. Our fully data-driven approach provides construction practitioners and aca…

2016-09-26abs ↗pdf ↗

Safe algorithm for linear bandits with safety constraints, matching previous results.

problem Designing safe bandit algorithms with linear safety constraints.
method Linear Thompson Sampling with frequentist regret analysis.
result Frequentist regret of order O(d3/2log1/2dT1/2log3/2T)\mathcal{O} (d^{3/2}\log^{1/2}d \cdot T^{1/2}\log^{3/2}T).

Synthesizes machine learning applications in reliability and safety.

problem Navigating the fragmented literature on ML for reliability and safety.
method Overview of ML categories, review of applications, discussion of Deep Learning.
result Machine learning can provide novel insights and improve accident prevention.

Survey on biases in image analysis for industrial safety.

problem Bias in machine learning algorithms affects industrial safety-critical applications.
method Survey and analysis of recent advances in bias detection and mitigation.
result Need for new methods to detect and mitigate biases in image analysis for safety-critical applications.