arXiv:2601.05415v1 Announce Type: cross Abstract: Multi-group classification arises in many prediction and decision-making problems, including applications in epidemiology, genomics, finance, and image recognition. Although classification methods have advanced considerably, much of the literature focuses on binary problems, and available extensions often provide limited flexibility for multi-group settings. Recent work has extended linear discriminant analysis to multiple groups, but more general methods are still needed to handle complex structures such as nonlinear decision boundaries and group-specific covariance patterns. We […]

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In Bayesian single-item auctions, a monotone bidding strategy–one that prescribes a higher bid for a higher value type–can be equivalently represented as a partition of the quantile space into consecutive intervals corresponding to increasing bids. Kumar et al. (2024) prove that agile online gradient descent (OGD), when used to update a monotone bidding strategy through its quantile representation, is strategically robust in repeated first-price auctions: when all bidders employ agile OGD in this way, the auctioneer’s average revenue […]

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arXiv:2501.19373v2 Announce Type: replace Abstract: We introduce a new class of generative diffusion models that, unlike conventional denoising diffusion models, achieve a time-homogeneous structure for both the noising and denoising processes, allowing the number of steps to adaptively adjust based on the noise level. This is accomplished by conditioning the forward process using Doob’s $h$-transform, which terminates the process at a suitable sampling distribution at a random time. The model is particularly well suited for generating data with […]

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My PI at my undergrad school mentioned that getting in without an interview is very rare in ML, but I’ve heard that the opposite is actually true. I’m assuming that it may be that it has changed in the last few years given the increasingly competitive nature of admissions, so I’m curious about recent admits’ experiences. If you were admitted to an ML PhD program in the US in the last few years, especially in the T20-T30, were […]

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Developing good predictive models hinges upon accurate performance evaluation and comparisons. However, when evaluating machine learning models, we typically have to work around many constraints, including limited data, independence violations, and sampling biases. Confidence intervals are no silver bullet, but at the very least, they can offer an additional glimpse into the uncertainty of the reported accuracy and performance of a model. This article outlines different methods for creating confidence intervals for machine learning models. Note that these […]

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arXiv:2601.09864v1 Announce Type: new Abstract: We study the input-entropy-constrained Gaussian channel capacity problem in the asymptotic high signal-to-noise ratio (SNR) regime. We show that the capacity-achieving distribution as SNR goes to infinity is given by a discrete Gaussian distribution supported on a scaled integer lattice. Further, we show that the gap between the input entropy and the capacity decreases to zero exponentially in SNR, and characterize this exponent.

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