Abstract:Minimally invasive surgery (MIS) presents significant visual and technical challenges, including surgical instrument classification and understanding surgical action involving instruments, verbs, and anatomical targets. While many machine learning-based methods have been developed for surgical understanding, they typically rely on procedure- and task-specific models trained on small, manually annotated datasets. In contrast, the recent success of vision-language models (VLMs) trained on large volumes of raw image-text pairs has demonstrated strong adaptability to diverse visual data and a range of downstream tasks. This opens meaningful research questions: how well do these general-purpose VLMs perform in the surgical domain? In this work, we explore those questions by benchmarking several VLMs across diverse surgical datasets, including general laparoscopic procedures and endoscopic submucosal dissection, to assess their current capabilities and limitations. Our benchmark reveals key gaps in the models' ability to consistently link language to the correct regions in surgical scenes.
Abstract:Complex networked systems driven by latent inputs are common in fields like neuroscience, finance, and engineering. A key inference problem here is to learn edge connectivity from node outputs (potentials). We focus on systems governed by steady-state linear conservation laws: $X_t = {L^{\ast}}Y_{t}$, where $X_t, Y_t \in \mathbb{R}^p$ denote inputs and potentials, respectively, and the sparsity pattern of the $p \times p$ Laplacian $L^{\ast}$ encodes the edge structure. Assuming $X_t$ to be a wide-sense stationary stochastic process with a known spectral density matrix, we learn the support of $L^{\ast}$ from temporally correlated samples of $Y_t$ via an $\ell_1$-regularized Whittle's maximum likelihood estimator (MLE). The regularization is particularly useful for learning large-scale networks in the high-dimensional setting where the network size $p$ significantly exceeds the number of samples $n$. We show that the MLE problem is strictly convex, admitting a unique solution. Under a novel mutual incoherence condition and certain sufficient conditions on $(n, p, d)$, we show that the ML estimate recovers the sparsity pattern of $L^\ast$ with high probability, where $d$ is the maximum degree of the graph underlying $L^{\ast}$. We provide recovery guarantees for $L^\ast$ in element-wise maximum, Frobenius, and operator norms. Finally, we complement our theoretical results with several simulation studies on synthetic and benchmark datasets, including engineered systems (power and water networks), and real-world datasets from neural systems (such as the human brain).