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Multichannel sleep spindle detection using sparse low-rank optimization

Parekh, Ankit; Selesnick, Ivan W; Osorio, Ricardo S; Varga, Andrew W; Rapoport, David M; Ayappa, Indu
BACKGROUND: Automated single-channel spindle detectors, for human sleep EEG, are blind to the presence of spindles in other recorded channels unlike visual annotation by a human expert. NEW METHOD: We propose a multichannel spindle detection method that aims to detect global and local spindle activity in human sleep EEG. Using a non-linear signal model, which assumes the input EEG to be the sum of a transient and an oscillatory component, we propose a multichannel transient separation algorithm. Consecutive overlapping blocks of the multichannel oscillatory component are assumed to be low-rank whereas the transient component is assumed to be piecewise constant with a zero baseline. The estimated oscillatory component is used in conjunction with a bandpass filter and the Teager operator for detecting sleep spindles. RESULTS AND COMPARISON WITH OTHER METHODS: The proposed method is applied to two publicly available databases and compared with 7 existing single-channel automated detectors. F1 scores for the proposed spindle detection method averaged 0.66 (0.02) and 0.62 (0.06) for the two databases, respectively. For an overnight 6 channel EEG signal, the proposed algorithm takes about 4min to detect sleep spindles simultaneously across all channels with a single setting of corresponding algorithmic parameters. CONCLUSIONS: The proposed method attempts to mimic and utilize, for better spindle detection, a particular human expert behavior where the decision to mark a spindle event may be subconsciously influenced by the presence of a spindle in EEG channels other than the central channel visible on a digital screen.
PMID: 28600157
ISSN: 1872-678x
CID: 2614412

A nonlinear generalization of the Savitzky-Golay filter and the quantitative analysis of saccades

Dai, Weiwei; Selesnick, Ivan; Rizzo, John-Ross; Rucker, Janet; Hudson, Todd
The Savitzky-Golay (SG) filter is widely used to smooth and differentiate time series, especially biomedical data. However, time series that exhibit abrupt departures from their typical trends, such as sharp waves or steps, which are of physiological interest, tend to be oversmoothed by the SG filter. Hence, the SG filter tends to systematically underestimate physiological parameters in certain situations. This article proposes a generalization of the SG filter to more accurately track abrupt deviations in time series, leading to more accurate parameter estimates (e.g., peak velocity of saccadic eye movements). The proposed filtering methodology models a time series as the sum of two component time series: a low-frequency time series for which the conventional SG filter is well suited, and a second time series that exhibits instantaneous deviations (e.g., sharp waves, steps, or more generally, discontinuities in a higher order derivative). The generalized SG filter is then applied to the quantitative analysis of saccadic eye movements. It is demonstrated that (a) the conventional SG filter underestimates the peak velocity of saccades, especially those of small amplitude, and (b) the generalized SG filter estimates peak saccadic velocity more accurately than the conventional filter.
PMCID:5852949
PMID: 28813566
ISSN: 1534-7362
CID: 2668972

Sparsity-assisted signal smoothing (revisited)

Chapter by: Selesnick, Ivan
in: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings by
[S.l.] : Institute of Electrical and Electronics Engineers Inc., 2017
pp. 4546-4550
ISBN: 9781509041176
CID: 2869502

Nonconvex nonsmooth optimization via convex-nonconvex majorization-minimization

Lanza, A; Morigi, S; Selesnick, I; Sgallari, F
The class of majorization-minimization algorithms is based on the principle of successively minimizing upper bounds of the objective function. Each upper bound, or surrogate function, is locally tight at the current estimate, and each minimization step decreases the value of the objective function. We present a majorization-minimization approach based on a novel convex-nonconvex upper bounding strategy for the solution of a certain class of nonconvex nonsmooth optimization problems. We propose an efficient algorithm for minimizing the (convex) surrogate function based on the alternating direction method of multipliers. A preliminary convergence analysis for the proposed approach is provided. Numerical experiments show the effectiveness of the proposed method for the solution of nonconvex nonsmooth minimization problems.
ISI:000400970300001
ISSN: 0945-3245
CID: 2733852

Sparse Signal Approximation via Nonseparable Regularization

Selesnick, Ivan; Farshchian, Masoud
The calculation of a sparse approximate solution to a linear system of equations is often performed using either L1-norm regularization and convex optimization or nonconvex regularization and nonconvex optimization. Combining these principles, this paper describes a type of nonconvex regularization that maintains the convexity of the objective function, thereby allowing the calculation of a sparse approximate solution via convex optimization. The preservation of convexity is viable in the proposed approach because it uses a regularizer that is nonseparable. The proposed method is motivated and demonstrated by the calculation of sparse signal approximation using tight frames. Examples of denoising demonstrate improvement relative to L1 norm regularization.
ISI:000398670800007
ISSN: 1941-0476
CID: 2577372

Capturing saccades in multiple sclerosis with a digitized test of rapid number naming

Hainline, Clotilde; Rizzo, John-Ross; Hudson, Todd E; Dai, Weiwei; Birkemeier, Joel; Raynowska, Jenelle; Nolan, Rachel C; Hasanaj, Lisena; Selesnick, Ivan; Frohman, Teresa C; Frohman, Elliot M; Galetta, Steven L; Balcer, Laura J; Rucker, Janet C
The King-Devick (K-D) test of rapid number naming is a visual performance measure that captures saccadic eye movements. Patients with multiple sclerosis (MS) have slowed K-D test times associated with neurologic disability and reduced quality of life. We assessed eye movements during the K-D test to identify characteristics associated with slowed times. Participants performed a computerized K-D test with video-oculography. The 25-Item National Eye Institute Visual Functioning Questionnaire (NEI-VFQ-25) and its 10-Item Neuro-Ophthalmic Supplement measured vision-specific quality of life (VSQOL). Among 25 participants with MS (age 37 +/- 10 years, range 20-59) and 42 controls (age 33 +/- 9 years, range 19-54), MS was associated with significantly longer (worse) K-D times (58.2 +/- 19.8 vs. 43.8 +/- 8.6 s, P = 0.001, linear regression models, accounting for age). In MS, test times were slower among patients with higher (worse) Expanded Disability Status Scale scores (P = 0.01). Average inter-saccadic intervals (ISI) were significantly longer in MS participants compared to controls (362 +/- 103 vs. 286 +/- 50 ms, P = 0.001), and were highly associated with prolonged K-D times in MS (P = 0.006). MS participants generated greater numbers of saccades (P = 0.007). VSQOL scores were reduced in MS patients with longer (worse) K-D times (P = 0.04-0.001) and longer ISI (P = 0.002-0.001). Patients with MS have slowed K-D times that may be attributable to prolonged ISI and greater numbers of saccades. The K-D test and its requisite eye movements capture VSQOL and make rapid number naming a strong candidate efferent visual performance measure in MS.
PMCID:6027588
PMID: 28389741
ISSN: 1432-1459
CID: 2521262

The validity of an eye tracker with low temporal resolution to assess eye movements during a rapid number naming task: Performance of the EyeTribe versus the EyeLink in Controls [Meeting Abstract]

Raynowska, J; Rizzo, J -R; Rucker, J; Dai, W; Birkemeier, J; Hershowitz, J; Selesnick, I; Balcer, L; Galetta, S; Hudson, T
Objective: To compare video-oculography performed by EyeTribe versus EyeLink during a rapid number naming task. Background: With increasing accessibility of portable, economical, video-based, infrared eye trackers, such as EyeTribe, there is growing interest in eye movement recordings, including in the setting of sports-related concussion. However, prior to implementation, there is a primary need to establish the validity of these low-resolution (30-60 Hz) eye trackers via comparison with high-resolution (500-1000 Hz) devices such as EyeLink. Design/Methods: A convenience sample of 30 controls performed a digitized version of the King-Devick (K-D) test with EyeTribe and EyeLink eye movement recordings. Results: Signal loss and tracings inconsistent with eye movement physiology were common with EyeTribe. Saccade main sequence parameters (fit to decaying exponentials) were significantly different for the two devices (reported as best-fit parameter and 95% confidence interval). Peak velocity versus amplitude relationships revealed a main sequence asymptote of 1674degree/s (CI: 1527, 1852degree/s) for EyeTribe vs. 506degree/s (CI: 499, 513degree/s) for EyeLink and a time constant of 102.9degree (CI: 93.5,115.7degree) for EyeTribe vs. 6.1degree (CI: 5.3, 6.3degree) for EyeLink. Duration versus amplitude relationships also demonstrated significant differences, with an asymptote of 62.7ms (CI: 61.0, 64.3ms) for EyeTribe vs. 83.2ms (CI: 82.2, 84.4ms) for EyeLink and time constant of 4.9degree (CI: 4.6, 5.3degree) for EyeTribe vs. 13.8degree (CI: 13.6, 14.1degree) for EyeLink. Total number of saccades to complete the K-D was significantly lower with EyeTribe, with an average of 110.2 vs. 120.5 saccades recorded by EyeTribe and EyeLink respectively (paired t-test, p=0.001). There was no significant difference in the inter-saccadic interval, despite a discrepancy of 42ms between devices. Conclusions: The EyeTribe device was unable to capture valid saccade data during rapid number naming. Caution is advised regarding the implementation of eye trackers with low temporal resolution for objective saccade assessment or sideline concussion screening
EMBASE:616552089
ISSN: 1526-632x
CID: 2608642

Gaze-position dependent opsoclonus in post-concussive syndrome [Meeting Abstract]

Sequeira, A J L -S; Dai, W; Rizzo, J -R; Hudson, T; Selesnick, I; Zee, D; Galetta, S; Balcer, L; Rucker, J
Objective: To describe a case of gaze-position dependent opsoclonus and discuss potential localization. Background: Opsoclonus is characterized by bursts of involuntary, back-to-back saccades without an intersaccadic interval at frequency of 10-25 Hz in horizontal, vertical, and torsional planes. Opsoclonus with gaze-directional selectivity has been rarely described. Design/Methods: We report a 50 year-old man who sustained a concussion three years prior followed by postconcussive headaches and disequilibrium. Exam revealed very small amplitude oscillations in left gaze that could not be further characterized on clinical exam. Different larger amplitude horizontal oscillations were present with convergence. There were no other posterior fossa signs. Brain MRI was unremarkable. Results: Video-oculography demonstrated opsoclonus predominantly in left gaze [median amplitude 5 deg (range <1- 11 deg), frequency 30 Hz] and during leftward smooth pursuit, which improved [median amplitude 2 deg (range < 1-10 deg), frequency 10 Hz] as post-concussive symptoms improved. Conclusions: This case demonstrates opsoclonus with eye position selectivity in post-concussive syndrome. Various theories of opsoclonus exist, including lesions of saccade burst, omnipause, or cerebellar fastigial pause neurons which project to brainstem burst neurons. Ultimately, all of these lead to increased excitability in the inherently unstable saccade generators. Burst and omnipause neuron firing rates are not influenced by eye position. The leftward gaze-dependence in our case supports dysfunction of cerebellar dorsal vermis Purkinje cells leading to disinhibition of the fastigial ocular motor nucleus, as vermal pause neurons have gaze-directional selectivity. Vermal pause neurons exhibit a pause of discharge immediately before and during contralateral saccades. Thus, selective dysfunction, possibly related to concussion-related membrane instability, could create an imbalance in burst neuron excitability, resulting in triggering of unidirectional opsoclonus. Further, our patient's saccade system may be inherently prone to oscillations given the presence of larger amplitude horizontal oscillations consistent with 'voluntary flutter', which persisted when leftward opsoclonus improved
EMBASE:616552074
ISSN: 1526-632x
CID: 2608652

Saccade sequences and rapid number naming in chronic concussion [Meeting Abstract]

Gold, D; Dai, W; Rizzo, J -R; Hudson, T; Selesnick, I; Hasanaj, L; Balcer, L; Galetta, S; Rucker, J
Objective: To assess relationships between classic saccade sequences and rapid number naming on the King Devick (K-D) test in concussion. Background: The K-D test is sensitive for concussion detection on athletic sidelines, with longer test times in concussion largely due to inter-saccadic interval (ISI) prolongation. The ISI is a measure of time between saccades that represents a combination of fixation duration and saccade latency. K-D saccade latency cannot be directly measured, as numbers are simultaneously displayed. We assessed saccade latency independent of K-D test. Design/Methods: Twenty-seven chronically concussed participants (mean age 32+/-13 years, range 17-61) and 19 healthy controls (mean age 29+/-8 years, range 19-48) performed K-D and saccade sequences: reflexive, gap, overlap, and antisaccades. Eye movements were recorded with EyeLink 1000+ video-oculography. Results: K-D test times were longer in concussion (54.6s vs 41.5s, p=0.001), as were ISIs (301.9ms vs 241.4ms, p=0.01). Longer reflexive and overlap latencies (reflexive: 198.1ms vs 176.7ms, p=0.04; overlap: 222.3ms vs 182.8ms, p=0.003) and worse accuracy were seen in concussion. Gap latencies showed no difference (160.6ms vs 148.8ms, p=0.13). Antisaccade latencies were longer in concussion (204.9ms vs 182.3ms, p=0.04) for saccades initially made in the incorrect direction, though there was no difference in error rates. Peak velocity and duration versus amplitude relationships showed no differences between groups. Conclusions: ISI prolongation during K-D performance could be due to increased saccade latencies and/or attention and cognitive impairment. In this study, saccade latency prolongation is seen in several saccade types in concussion, suggesting that it may, indeed, contribute to K-D ISI prolongation in concussion. Further, overlap saccade latency prolongation suggests that pre-saccade visual fixation disengagement is altered in concussion. These results suggest that saccade motor planning is impaired in concussion, possibly from damage to frontal lobe saccade control centers prone to traumatic injury
EMBASE:616552215
ISSN: 1526-632x
CID: 2608592

Repetitive transients extraction algorithm for detecting bearing faults

He, Wangpeng; Ding, Yin; Zi, Yanyang; Selesnick, Ivan W
Rolling-element bearing vibrations are random cyclostationary. This paper addresses the problem of noise reduction with simultaneous components extraction in vibration signals for faults diagnosis of bearing. The observed vibration signal is modeled as a summation of two components contaminated by noise, and each component composes of repetitive transients. To extract the two components simultaneously, an approach by solving an optimization problem is proposed in this paper. The problem adopts convex sparsity based regularization scheme for decomposition, and non-convex regularization is used to further promote the sparsity but preserving the global convexity. A synthetic example is presented to illustrate the performance of the proposed approach for repetitive feature extraction. The performance and effectiveness of the proposed method are further demonstrated by applying to compound faults and single fault diagnosis of a locomotive bearing. The results show the proposed approach can effectively extract the features of outer and inner race defects. (C) 2016 Elsevier Ltd. All rights reserved.
ISI:000388785700013
ISSN: 0888-3270
CID: 2421952