operations research teams

Abstract: Applying knowledge transfer across multiple optimization tasks, multitask optimization (MTO) emerges as a promising approach to solving synergistic optimization tasks simultaneously. However, the development of effective knowledge transfer mechanisms in MTO fundamentally relies on aligning elite solution distributions across tasks. This dependency creates a critical bottleneck in few-shot optimization regimes, as restricted evaluation budgets impede the identification of elite solution distributions required for beneficial transfer. This challenge is exacerbated in multiobjective multitask problems, where each optimizer must approximate a continuous Pareto manifold rather than a single optimal point. This paper introduces Iterative Sequential Transfer (IST) to circumvent this bottleneck. We model MTO as a sequence of sequential transfer optimization problems, concentrating evaluations on a single target per iteration. We propose a likelihood-informed task prioritization mechanism to maximize transfer utility by identifying the task most likely ready for knowledge integration. Empirical results on benchmark and real-world problems verify the effectiveness of the proposed method under tight budgets.

Abstract: In online inverse linear optimization, the learner predicts a weight at each round, observes the optimal action of the agent, and updates its prediction. In the general setting, the gap of $\log T$ between the regret upper bound $O(d \log T)$ and the lower bound $Ω(d)$ is unresolved (here $T$ is the total number of rounds and $d$ is the dimension). When the action set is M-convex, the regret is known to be bounded by $O(d \log d)$, but the method attaining it computes a center of gravity at every round. This paper therefore proposes Small-Gradient Skipping (SGS), a mechanism that skips the update at rounds without a mistake in the case where the correct action is uniformly separated from the other candidates, and applies it to online gradient descent, the online Newton step, and MetaGrad. The number of mistakes is then bounded, for all three, by a quantity independent of $T$; and for the online Newton step and for MetaGrad with SGS, the dimension dependence of the regret becomes $O(d^2)$ when the forward problem is an integer linear program, that is, the factor $\log T$ is removed. Moreover, when the action set is M-convex, the regret is bounded efficiently without computing a center of gravity.

Abstract: A 2,048-spin fully connected annealing processor based on differential stochastic simulated annealing (DSSA) is presented as an architectural design in TSMC 28 nm CMOS with a 3 mm x 4 mm post-layout area. The processor closes timing at 500 MHz, integrates a 16 Mb SRAM weight memory, and amortizes stochastic noise across 16 spins with area-efficient random number generators. DSSA keeps a serialized datapath for density but recomputes interactions only for spins that flip, shrinking the effective workload to the active frontier during each annealing run. Spin-select scheduling, priority-based weight reads, and a temperature controller that skips idle steps accelerate sparse updates without sacrificing full connectivity. Post-layout simulation results show 2.7 ms time-to-solution (TTS) and 0.86 mJ energy-to- solution on 2,000-spin problems at 316 mW (0.15 mW/spin), achieving 1.5x lower power and 3.5x lower TTS energy than projected prior fully connected annealers. These results demonstrate the potential of the proposed DSSA architecture for large-scale combinatorial optimization hardware under post-layout evaluation.