In-Car Conversational Question Answering (ConvQA) systems significantly enhance user experience by enabling seamless voice interactions. However, assessing their accuracy and reliability remains a challenge. This paper explores the use of Large Language Models (LLMs) alongside advanced prompting techniques and agent-based methods to evaluate the extent to which ConvQA system responses adhere to user utterances. The focus lies on contextual understanding, the ability to provide accurate venue recommendations considering the user constraints and situational context. To evaluate the utterance/response coherence using an LLM, we synthetically generate user utterances accompanied by correct but also modified failure-containing system responses. We use input–output, chain of thought, self-consistency prompting, as well as multi-agent prompting techniques, with 13 reasoning and non-reasoning LLMs, varying in model size and providers, from OpenAI, DeepSeek, Mistral AI, and Meta. We evaluate our approach on a case study that involves a user asking for restaurant recommendations. The most substantial improvements are observed for small non-reasoning models when applying advanced prompting techniques, in particular, when applying multi-agent prompting. However, non-reasoning models are significantly surpassed by reasoning models, where the best result is achieved with single-agent prompting incorporating self-consistency. Notably, the DeepSeek-R1 model achieves the highest F1-score of 0.99 at a cost of 0.002 USD per request. Overall, the best tradeoff between effectiveness and cost/time efficiency is achieved with the non-reasoning model DeepSeek-V3. Our results demonstrate that LLM-based evaluations offer a scalable and accurate alternative to traditional human-based evaluations for benchmarking contextual understanding in ConvQA systems.

State space models are emerging as a dominant model class for sequence problems with many relying on the HiPPO framework to initialize their dynamics. However, HiPPO fundamentally assumes data to be noise-free; an assumption often violated in practice. We extend the HiPPO theory with measurement noise and derive an uncertainty-aware initialization for state space model dynamics. In our analysis, we interpret HiPPO as a linear stochastic control problem where the data enters as a noise-free control signal. We then reformulate the problem so that the data become noisy outputs of a latent system and arrive at an alternative dynamics initialization that infers the posterior of this latent system from the data without increasing runtime. Our experiments show that our initialization improves the resistance of state-space models to noise both at training and inference time.