
Luis Carvalho
· Associate ProfessorVerifiedBoston University · Mathematics
Active 2006–2025
About
Luis Carvalho is an Associate Professor and a member of the Probability and Statistics research group at Boston University. His academic role involves teaching and research within the Department of Mathematics & Statistics. For more information about his work and background, please refer to his personal webpage.
Research topics
- Computer Science
- Data Mining
- Artificial Intelligence
- Geography
- Medicine
- Computational biology
- Biology
- Economics
- Mathematics
- Meteorology
- Environmental health
- Environmental engineering
- Mathematical optimization
- Genetics
- Environmental science
- Ecology
- Atmospheric sciences
Selected publications
Bernstein Polynomial Processes for Continuous Time Change Detection
ArXiv.org · 2025-04-24
preprintOpen accessSenior authorThere is a lack of methodological results for continuous time change detection due to the challenges of noninformative prior specification and efficient posterior inference in this setting. Most methodologies to date assume data are collected according to uniformly spaced time intervals. This assumption incurs bias in the continuous time setting where, a priori, two consecutive observations measured closely in time are less likely to change than two consecutive observations that are far apart in time. Models proposed in this setting have required MCMC sampling which is not ideal. To address these issues, we derive the heterogeneous continuous time Markov chain that models change point transition probabilities noninformatively. By construction, change points under this model can be inferred efficiently using the forward backward algorithm and do not require MCMC sampling. We then develop a novel loss function for the continuous time setting, derive its Bayes estimator, and demonstrate its performance on synthetic data. A case study using time series of remotely sensed observations is then carried out on three change detection applications. To reduce falsely detected changes in this setting, we develop a semiparametric mean function that captures interannual variability due to weather in addition to trend and seasonal components.
Understanding the hydrological and landscape connectivity of lakes
Landscape Ecology · 2025-07-03 · 6 citations
articleOpen accessContext: Connectivity is a key property of water, enabling the flow of energy, material and individuals within and between sites. Climate and land use changes can profoundly modify connectivity, yet few studies have quantified the patterns in connectivity among lakes at national scales. Objectives: Our objectives were: i) to examine relationships between a broad range of lake connectivity metrics, ii) to evaluate how lake connectivity varies nationally, regionally and in relation to land cover. Methods: We calculated hundreds of metrics of freshwater connectivity for all lakes in Great Britain > 1 ha (n = 10,095), quantifying connectedness in their catchments and surrounding landscape. Patterns of metrics, as well as their correlations and inter-connectedness, were examined at multiple scales. Results: Strong correlations existed within groups of metrics for lake, pond and river connectivity. However, both pond and river metrics varied independently of lake metrics. The most and least urban river basin districts showed noticeable differences in metric correlation. Lake area, pond count and river length in catchments were selected as a core set of connectivity metrics, which explain most of the variation across national and regional scales. Conclusions: in the zone nearest the lake. When interpreting ecological responses, the connectivity metric within each core group can be selected based on suitability and data availability. The minimum set of three metrics is recommended to support comparative, global studies.
Annals of Epidemiology · 2025-04-06
articleOpen accessUnsupervised Neural Architecture for Sensorimotor Mapping in Perceptually Aliased Environments
2024-07-29 · 1 citations
article1st authorCorrespondingThis paper addresses the challenge of autonomous navigation in environments with perceptual aliasing, where observations are not unique; posing difficulties for current Simultaneous Localisation and Mapping (SLAM) systems. The importance of developing cognitive maps inspired by the hippocampal/entorhinal system (H/E-S) for spatial and relational memory tasks for intelligent behaviour and flexible navigation is discussed. The paper introduces the Merge Expand when Required Clone Structured Representation Yielding explainability (MERCURY) network, an unsupervised neural architecture that learns sensorimotor maps in aliased environments through continuous self-organisation. Experimental results demonstrate MERCURY's improved performance in mapping aliased environments compared to other approaches. The paper concludes with a discussion on the limitations and directions for future research to enhance the robustness and applicability of the proposed approach.
Nature Communications · 2024-07-22 · 17 citations
articleOpen accessAccurate glycopeptide identification in mass spectrometry-based glycoproteomics is a challenging problem at scale. Recent innovation has been made in increasing the scope and accuracy of glycopeptide identifications, with more precise uncertainty estimates for each part of the structure. We present a dynamically adapting relative retention time model for detecting and correcting ambiguous glycan assignments that are difficult to detect from fragmentation alone, a layered approach to glycopeptide fragmentation modeling that improves N-glycopeptide identification in samples without compromising identification quality, and a site-specific method to increase the depth of the glycoproteome confidently identifiable even further. We demonstrate our techniques on a set of previously published datasets, showing the performance gains at each stage of optimization. These techniques are provided in the open-source glycomics and glycoproteomics platform GlycReSoft available at https://github.com/mobiusklein/glycresoft .
Modeling urban crime occurrences via network regularized regression
The Annals of Applied Statistics · 2024-10-31 · 1 citations
articleSenior authorAnalyses of occurrences of residential burglary in urban areas have shown that crime rates are not spatially homogeneous: rates vary across the network of city streets, resulting in some areas being far more susceptible to crime than others. The explanation for why a certain segment of the city experiences high crime may be different than why a neighboring area experiences high crime. Motivated by the importance of understanding spatial patterns such as these, we consider a statistical model of burglary defined on the street network of Boston, Massachusetts. Leveraging ideas from functional data analysis, our proposed solution consists of a generalized linear model with vertex-indexed covariates, allowing for an interpretation of the covariate effects at the street level. We employ a regularization procedure cast as a prior distribution on the regression coefficients under a Bayesian setup so that the predicted responses vary smoothly according to the connectivity of the city. We introduce a novel variable selection procedure, examine computationally efficient methods for sampling from the posterior distribution of the model parameters, and demonstrate the flexibility of our proposed modeling structure. The resulting model and interpretations provide insight into the spatial network patterns and dynamics of residential burglary in Boston.
Bioinformatics Advances · 2024-01-01
articleOpen accessMotivation: Glycosylation elaborates the structures and functions of glycoproteins; glycoproteins are common post-translationally modified proteins and are heterogeneous and non-deterministically synthesized as an evolutionarily driven mechanism that elaborates the functions of glycosylated gene products. Glycoproteins, accounting for approximately half of all proteins, require specialized proteomics data analysis methods due to micro- and macro-heterogeneities as a given glycosite can be divided into several glycosylated forms, each of which must be quantified. Sampling of heterogeneous glycopeptides is limited by mass spectrometer speed and sensitivity, resulting in missing values. In conjunction with the low sample size inherent to glycoproteomics, a specialized toolset is needed to determine if observed changes in glycopeptide abundances are biologically significant or due to data quality limitations. Results: Identifications by Similarity (RAMZIS), that uses similarity metrics to guide researchers to a more rigorous interpretation of glycoproteomics data. RAMZIS uses a permutation test to generate contextual similarity, which assesses the quality of mass spectral data and outputs a graphical demonstration of the likelihood of finding biologically significant differences in glycosylation abundance datasets. Investigators can assess dataset quality, holistically differentiate glycosites, and identify which glycopeptides are responsible for glycosylation pattern change. RAMZIS is validated by theoretical cases and a proof-of-concept application. RAMZIS enables comparison between datasets too stochastic, small, or sparse for interpolation while acknowledging these issues in its assessment. Using this tool, researchers will be able to rigorously define the role of glycosylation and the changes that occur during biological processes. Availability and implementation: https://github.com/WillHackett22/RAMZIS.
Computational Approaches for Exponential-Family Factor Analysis
arXiv (Cornell University) · 2024-03-22 · 1 citations
preprintOpen accessSenior authorWe study a general factor analysis framework where the $n$-by-$p$ data matrix is assumed to follow a general exponential family distribution entry-wise. While this model framework has been proposed before, we here further relax its distributional assumption by using a quasi-likelihood setup. By parameterizing the mean-variance relationship on data entries, we additionally introduce a dispersion parameter and entry-wise weights to model large variations and missing values. The resulting model is thus not only robust to distribution misspecification but also more flexible and able to capture mean-dependent covariance structures of the data matrix. Our main focus is on efficient computational approaches to perform the factor analysis. Previous modeling frameworks rely on simulated maximum likelihood (SML) to find the factorization solution, but this method was shown to lead to asymptotic bias when the simulated sample size grows slower than the square root of the sample size $n$, eliminating its practical application for data matrices with large $n$. Borrowing from expectation-maximization (EM) and stochastic gradient descent (SGD), we investigate three estimation procedures based on iterative factorization updates. Our proposed solution does not show asymptotic biases, and scales even better for large matrix factorizations with error $O(1/p)$. To support our findings, we conduct simulation experiments and discuss its application in four case studies.
Sustainable Cities and Society · 2023-07-12 · 4 citations
articleOpen accessBuilding energy use contributes to urban carbon dioxide (CO2) emissions while inadequate ventilation can yield indoor CO2 build up from human respiration. However, increasing ventilation rates can add to energy costs and climate burdens. Our objective was to quantify changes in emissions, energy, and financial cost when rooftop garden and ventilation upgrades are done simultaneously, with an opportunity to enhance plant growth from exhausted CO2. We measured indoor CO2 concentrations, calculated ventilation rates, and modeled five scenarios to assess these impacts. The indoor CO2 concentration maximum was 2210 ppm, median was 840 ppm, and 33% of the daytime was spent above 1000 ppm. The estimated ventilation rate was 4 L/s. . Our model calculations show that increasing ventilation to recommended levels (7 L/s) would increase total CO2 emissions, energy use, and cost (1-4%), but this could be counterbalanced by rooftop garden installation benefits, which yielded a net decrease of 23-46% in CO2 emissions, 12-13% in energy use, and 12-16% in cost. This novel integration of data collection and modeling provides support for the co-benefits of simultaneous improved installation ventilation systems and indoor CO2-enhanced rooftop gardens.
bioRxiv (Cold Spring Harbor Laboratory) · 2023-06-01
preprintOpen accessMotivation: Glycosylation elaborates the structures and functions of glycoproteins; glycoproteins are common post-translationally modified proteins and are heterogeneous and non-deterministically syn-thesized as an evolutionarily driven mechanism that elaborates the functions of glycosylated gene products. While glycoproteins account for approximately half of all proteins, their macro- and micro-heterogeneity requires specialized proteomics data analysis methods as a given glycosite can be divided into several glycosylated forms, each of which must be quantified. Sampling of heterogeneous glycopeptides is limited by mass spectrometer speed and sensitivity, resulting in missing values. In conjunction with the low sample size inherent to glycoproteomics, this necessitated specialized statistical metrics to identify if observed changes in glycopeptide abundances are biologically significant or due to data quality limitations. Results: Identifications by Similarity (RAMZIS), that uses similarity metrics to guide biomedical researchers to a more rigorous interpretation of glycoproteomics data. RAMZIS uses contextual similarity to assess the quality of mass spectral data and generates graphical output that demonstrates the likelihood of finding biologically significant differences in glycosylation abundance dataset. Investigators can assess dataset quality, holistically differentiate glycosites, and identify which glycopeptides are responsible for glycosylation pattern expression change. Herein RAMZIS approach is validated by theoretical cases and by a proof-of-concept application. RAMZIS enables comparison between datasets too stochastic, small, or sparse for interpolation while acknowledging these issues in its assessment. Using our tool, researchers will be able to rigor-ously define the role of glycosylation and the changes that occur during biological processes.
Recent grants
High-dimensional Discrete Inference
NSF · $64k · 2011–2014
Frequent coauthors
- 8 shared
Ian Johnston
Miltenyi Biotec (Germany)
- 7 shared
Joseph Zaia
Boston University
- 6 shared
Alessandro Baccini
Boston University
- 6 shared
Timothy Hancock
Kantonsspital Aarau
- 6 shared
Hiroshi Mamitsuka
Kyoto University
- 5 shared
Joshua Klein
Boston University
- 5 shared
Wayne Walker
Woodwell Climate Research Center
- 5 shared
Catherine L. Connolly
Boston University
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