MBE-CASSCF Approach for the Accurate Treatment of Large Active Spaces.

We present a novel implementation of the complete active space self-consistent field (CASSCF) method that makes use of the many-body expanded full configuration interaction (MBE-FCI) method to incrementally approximate electronic structures within large active spaces. On the basis of a hybrid first-order algorithm employing both Super-CI and quasi-Newton strategies for the optimization of molecular orbitals, we demonstrate both computational efficacy and high accuracy of the resulting MBE-CASSCF method. We assess the performance of our implementation on a set of established numerical tests before applying MBE-CASSCF in the investigation of the triplet-quintet spin gap of iron(II) porphyrin with active spaces as large as 50 electrons in 50 orbitals.

Properties of Local Electronic Structures.

The simulation of intrinsic contributions to molecular properties holds the potential to allow for chemistry to be directly inferred from changes to electronic structures at the atomic level. In the present study, we demonstrate how such local properties can be readily derived from suitable molecular orbitals to yield effective fingerprints of various types of atoms in organic molecules. In contrast, corresponding inferences from schemes that instead make use of individual atomic orbitals for this purpose are generally found to fail in expressing much uniqueness in atomic environments. By further studying the extent to which entire chemical reactions may be decomposed into meaningful and continuously evolving atomic contributions, schemes based on molecular rather than atomic orbitals are once again found to be the more consistent, even allowing for intricate differences between seemingly uniform nucleophilic substitutions to be probed.

Symmetrization of Localized Molecular Orbitals.

We present a novel algorithm for (i) detecting approximate symmetries inherently present among spatially localized molecular orbitals and (ii) enforcing these in numerically exact manners by means of unitary optimization techniques. The vast potential of our algorithm to compress a full set of molecular orbitals into only a minimal set of symmetry-unique orbitals is demonstrated, starting from localized bases of either Pipek-Mezey or Foster-Boys orbitals. Comparisons of results based on either of these two localization procedures indicate that Foster-Boys molecular orbitals can be spanned by a smaller number of symmetry-unique orbitals on average, making these outstanding candidates for the exploitation of general, (non-)Abelian point-group symmetries in a range of local correlation methods. As an illustration of said compressibility, our algorithm is capable of identifying a mere 14 symmetry-unique orbitals for the buckminsterfullerene in the highly symmetric Ih molecular point group, corresponding to only 1.7% of its total 840 molecular orbitals in a standard double-ζ basis set. The present work thus marks an important advancement in the exploitation of point-group symmetry within local correlation methods, for which the appropriate adaption of symmetry uniqueness among orbitals has the potential to yield unprecedented speed-ups.

Decomposing Chemical Space: Applications to the Machine Learning of Atomic Energies.

We apply a number of atomic decomposition schemes across the standard QM7 data set─a small model set of organic molecules at equilibrium geometry─to inspect the possible emergence of trends among contributions to atomization energies from distinct elements embedded within molecules. Specifically, a recent decomposition scheme of ours based on spatially localized molecular orbitals is compared to alternatives that instead partition molecular energies on account of which nuclei individual atomic orbitals are centered on. We find these partitioning schemes to expose the composition of chemical compound space in very dissimilar ways in terms of the grouping, binning, and heterogeneity of discrete atomic contributions, e.g., those associated with hydrogens bonded to different heavy atoms. Furthermore, unphysical dependencies on the one-electron basis set are found for some, but not all of these schemes. The relevance and importance of these compositional factors for training tailored neural network models based on atomic energies are next assessed. We identify both limitations and possible advantages with respect to contemporary machine learning models and discuss the design of potential counterparts based on atoms and the intrinsic energies of these as the principal decomposition units.

30-day morbidity and mortality after transoral robotic surgery for human papillomavirus (HPV) associated oropharyngeal squamous cell carcinoma: A retrospective analysis of two prospective adjuvant de-escalation trials (MC1273 & MC1675).

OBJECTIVE: Dose de-escalation of adjuvant therapy (DART) in patients with HPV(+)OPSCC was investigated in two prospective Phase II and III clinical trials (MC1273 and MC1675). We report the 30-day morbidity and mortality associated with primary TORS resection in patients enrolled in these trials. MATERIALS AND METHODS: Patients with HPV(+)OPSCC, who underwent TORS resection between 2013 and 2020 were considered in this analysis. The severity of postoperative transoral bleeding was graded using both the Hinni Grade (HG) transoral surgery bleeding scale and the Common Terminology for Adverse Events (CTCAE) v5.0. Post-surgical complications within 30 days of surgery, as well as rates of tracheostomy, PEG and nasogastric tube placement. RESULTS: 219 patients were included. A total of 7 (3.2 %) patients had a tracheostomy placed at the time of surgery, and all were decannulated within 26 days (median: 5, range: 2-26). There were 33 (15.1 %) returns to the emergency department (ED) with 10 (4.6 %) patients requiring readmission. Using the HG scale, 10 (4.6 %) patients experienced ≥ Grade 3 bleeding with no Grade 5 or 6 bleeds. In contrast, using the CTCAE scale, 15 patients (6.8 %) experienced ≥ Grade 3 bleeding with no Grade 5 bleeds. There was one post-operative death in a patient withdrawn from the trial, and no deaths related to hemorrhage. CONCLUSION AND RELEVANCE: TORS for HPV(+)OPSCC in carefully selected patients at a high volume center was associated with low morbidity and mortality.

Mortality in people with mental disorders in Poland: A nationwide, register-based cohort study.

BACKGROUND: Mortality among people with mental disorders is higher in comparison with the general population. There is a scarcity of studies on mortality in the abovementioned group of people in Central and Eastern European countries. METHODS: The study aimed to assess all-cause mortality in people with mental disorders in Poland. We conducted a nationwide, register-based cohort study utilizing data from two nationwide registries in Poland: the registry of healthcare services reported to the National Health Fund (2009-2018) and the all-cause death registry from Statistics Poland (2019). We identified individuals who were consulted or hospitalized in public mental healthcare facilities and received at least one diagnosis of mental disorders (International Statistical Classification of Diseases and Health Problems [ICD-10]) from 2009 to 2018. Standardized mortality ratios (SMRs) were compared between people with a history of mental disorder and the general population. RESULTS: The study comprised 4,038,517 people. The SMR for individuals with any mental disorder compared with the general population was 1.54. SMRs varied across diagnostic groups, with the highest values for substance use disorders (3.04; 95% CI 3.00-3.09), schizophrenia, schizotypal and delusional disorders (2.12; 95% CI 2.06-2.18), and pervasive and specific developmental disorders (1.68; 95% CI 1.08-2.29). When only inpatients were considered, all-cause mortality risk was almost threefold higher than in the general population (SMR 2.90; 95% CI 2.86-2.94). CONCLUSIONS: In Poland, mortality in people with mental disorders is significantly higher than in the general population. The results provide a reference point for future longitudinal studies on mortality in Poland.

Electronic excitations through the prism of mean-field decomposition techniques.

The potential of mean-field decomposition techniques in interpreting electronic transitions in molecules is explored, in particular, the usefulness of these for offering computational signatures of different classes of such excitations. When viewed as a conceptual lens for this purpose, decomposed results are presented for ground- and excited-state energies and dipole moments of selected prototypical organic dyes, and the discrete nature of these properties as well as how they change upon transitioning from one state to another is analyzed without recourse to a discussion based on the involved molecular orbitals. On the basis of results obtained both with and without an account of continuum solvation, our work is further intended to shed new light on practical and pathological differences in between various functional approximations in orbital-optimized Kohn-Sham density functional theory for excited states, equipping practitioners and developers in the field with new probes and possible validation tools.

Non-opioid analgesics and post-operative pain following transoral robotic surgery for oropharyngeal cancer.

OBJECTIVE: To investigate associations between multimodal analgesia and post-operative pain among patients undergoing transoral robotic surgery for oropharyngeal squamous cell carcinoma. METHODS: Records of patients who underwent surgery from 5 September 2012 to 30 November 2016 were abstracted. Associations were assessed using multivariable analysis. RESULTS: A total of 216 patients (mean age of 59.1 years, 89.4 per cent male) underwent transoral robotic surgery (92.6 per cent were human papilloma virus positive, 87.5 per cent had stage T1-T2 tumours, and 82.9 per cent had stage N0-N1 nodes). Gabapentin (n = 86) was not associated with a reduction in severe pain. Ibuprofen (n = 72) was administered less often in patients with severe pain. Gabapentin was not associated with increased post-operative sedation (p = 0.624) and ibuprofen was not associated with increased bleeding (p = 0.221). Post-operative opioid usage was not associated with surgical duration, pharyngotomy, bilateral neck dissections, tumour stage, tumour size, subsite or gabapentin. CONCLUSION: Scheduled low-dose gabapentin was not associated with improved pain control or increased respiratory depression. Ibuprofen was not associated with an increased risk of bleeding and may be under-utilised.

Decomposed Mean-Field Simulations of Local Properties in Condensed Phases.

The present work demonstrates a robust protocol for probing localized electronic structure in condensed-phase systems, operating in terms of a recently proposed theory for decomposing the results of Kohn-Sham density functional theory in a basis of spatially localized molecular orbitals. In an initial application to liquid, ambient water and the assessment of the solvation energy and the embedded dipole moment of H2O in solution, we find that both properties are amplified on average-in accordance with expectation-and that correlations are indeed observed to exist between them. However, the simulated solvent-induced shift to the dipole moment of water is found to be significantly dampened with respect to typical literature values. The local nature of our methodology has further allowed us to evaluate the convergence of bulk properties with respect to the extent of the underlying one-electron basis set, ranging from single-ζ to full (augmented) quadruple-ζ quality. Albeit a pilot example, our work paves the way toward future studies of local effects and defects in more complex phases, e.g., liquid mixtures and even solid-state crystals.

The Shape of Full Configuration Interaction to Come.

We present a Perspective on what the future holds for full configuration interaction (FCI) theory, with an emphasis on conceptual rather than technical details. Upon revisiting the early history of FCI, a number of its key contemporary approximations are compared on as equal a footing as possible, using a recent blind challenge on the benzene molecule as a testbed [Eriksen et al., J. Phys. Chem. Lett., 2020 11, 8922]. In the process, we review the scope of applications for which FCI continues to prove indispensable, and the required traits in terms of robustness, efficacy, and reliability its modern approximations must satisfy are discussed. We close by conveying a number of general observations on the merits offered by the state-of-the-art alongside some of the challenges still faced to this day. While the field has altogether seen immense progress over the years-the past decade, in particular-it remains clear that our community as a whole has a substantial way to go in enhancing the overall applicability of near-exact electronic structure theory for systems of general composition and increasing size.

Mean-field density matrix decompositions.

We introduce new and robust decompositions of mean-field Hartree-Fock and Kohn-Sham density functional theory relying on the use of localized molecular orbitals and physically sound charge population protocols. The new lossless property decompositions, which allow for partitioning one-electron reduced density matrices into either bond-wise or atomic contributions, are compared to alternatives from the literature with regard to both molecular energies and dipole moments. Besides commenting on possible applications as an interpretative tool in the rationalization of certain electronic phenomena, we demonstrate how decomposed mean-field theory makes it possible to expose and amplify compositional features in the context of machine-learned quantum chemistry. This is made possible by improving upon the granularity of the underlying data. On the basis of our preliminary proof-of-concept results, we conjecture that many of the structure-property inferences in existence today may be further refined by efficiently leveraging an increase in dataset complexity and richness.

The Ground State Electronic Energy of Benzene.

We report on the findings of a blind challenge devoted to determining the frozen-core, full configuration interaction (FCI) ground-state energy of the benzene molecule in a standard correlation-consistent basis set of double-ζ quality. As a broad international endeavor, our suite of wave function-based correlation methods collectively represents a diverse view of the high-accuracy repertoire offered by modern electronic structure theory. In our assessment, the evaluated high-level methods are all found to qualitatively agree on a final correlation energy, with most methods yielding an estimate of the FCI value around -863 mEH. However, we find the root-mean-square deviation of the energies from the studied methods to be considerable (1.3 mEH), which in light of the acclaimed performance of each of the methods for smaller molecular systems clearly displays the challenges faced in extending reliable, near-exact correlation methods to larger systems. While the discrepancies exposed by our study thus emphasize the fact that the current state-of-the-art approaches leave room for improvement, we still expect the present assessment to provide a valuable community resource for benchmark and calibration purposes going forward.

Ground and excited state first-order properties in many-body expanded full configuration interaction theory.

The recently proposed many-body expanded full configuration interaction (MBE-FCI) method is extended to excited states and static first-order properties different from total, ground state correlation energies. Results are presented for excitation energies and (transition) dipole moments of two prototypical, heteronuclear diatomics-LiH and MgO-in augmented correlation consistent basis sets of up to quadruple-ζ quality. Given that MBE-FCI properties are evaluated without recourse to a sampled wave function and the storage of corresponding reduced density matrices, the memory overhead associated with the calculation of general first-order properties only scales with the dimension of the desired property. In combination with the demonstrated performance, the present developments are bound to admit a wide range of future applications by means of many-body expanded treatments of electron correlation.

Recent developments in the PySCF program package.

PySCF is a Python-based general-purpose electronic structure platform that supports first-principles simulations of molecules and solids as well as accelerates the development of new methodology and complex computational workflows. This paper explains the design and philosophy behind PySCF that enables it to meet these twin objectives. With several case studies, we show how users can easily implement their own methods using PySCF as a development environment. We then summarize the capabilities of PySCF for molecular and solid-state simulations. Finally, we describe the growing ecosystem of projects that use PySCF across the domains of quantum chemistry, materials science, machine learning, and quantum information science.

Chromatic fading following complete adaptation to unique hues.

Profound vision loss occurs after prolonged exposure to an unchanging featureless visual environment. The effect is sometimes called visual fade. Here we investigate this phenomenon in the color domain using two different experiments. In the first experiment we determine the time needed for a colored background to appear achromatic. Four backgrounds were tested. Each represented the observers' four unique hues. This adaptation time was compared with time to recover after adaptation Hue shifts at the end of the adaptation period were also measured. There were wide individual differences in adaptation times and recovery times. Overall recovery was faster than adaptation (p < 0.02). There were minimal shifts in hue. In the second experiment the changes in saturation (Munsell chroma) and lightness (Munsell value) of the background were monitored at six time intervals during the adapting process. Again asymmetric matching with Munsell samples was used. There were two distinct components to both the adaptation and recovery phases; one fast with time constant <1s, the other slow with time constant between 40 and 160s. The experiments show that the special case of visual fade involving color represents the sensory basis for many color-related effects involving adaptation.

Neural Model of Coding Stimulus Orientation and Adaptation.

The coding of line orientation in the visual system has been investigated extensively. During the prolonged viewing of a stimulus, the perceived orientation continuously changes (normalization effect). Also, the orientation of the adapting stimulus and the background stimuli influence the perceived orientation of the subsequently displayed stimulus: tilt after-effect (TAE) or tilt illusion (TI). The neural mechanisms of these effects are not fully understood. The proposed model includes many local analyzers, each consisting of two sets of neurons. The first set has two independent cardinal detectors (CDs), whose responses depend on stimulus orientation. The second set has many orientation detectors (OD) tuned to different orientations of the stimulus. The ODs sum up the responses of the two CDs with respective weightings and output a preferred orientation depending on the ratio of CD responses. It is suggested that during prolonged viewing, the responses of the CDs decrease: the greater the excitation of the detector, the more rapid the decrease in its response. Thereby, the ratio of CD responses changes during the adaptation, causing the normalization effect and the TAE. The CDs of the different local analyzers laterally inhibit each other and cause the TI. We show that the properties of this model are consistent with both psychophysical and neurophysiological findings related to the properties of orientation perception, and we investigate how these mechanisms can affect the orientation's sensitivity.

Generalized Many-Body Expanded Full Configuration Interaction Theory.

Facilitated by a rigorous partitioning of a molecular system's orbital basis into two fundamental subspaces-a reference and an expansion space, both with orbitals of unspecified occupancy-we generalize our recently introduced many-body expanded full configuration interaction (MBE-FCI) method to allow for electron-rich model and molecular systems dominated by both weak and strong correlation to be addressed. By employing minimal or even empty reference spaces, we show through calculations on the one-dimensional Hubbard model with up to 46 lattice sites, the chromium dimer, and the benzene molecule how near-exact results may be obtained in an entirely unbiased manner for chemical and physical problems of not only academic but also applied chemical interest. Given the massive parallelism and overall accuracy of the resulting method, we argue that generalized MBE-FCI theory possesses an immense potential to yield near-exact correlation energies for molecular systems of unprecedented size, composition, and complexity in the years to come.